Answer:
0
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
-4-(-4)/-12-(-6)
0/-6
Since the numerator is 0, the slope is 0.
Best of Luck!
Need help on the question
Determine the equation of a straight line passing through (-1,3) and parallel to the line whose equation is 3x-5y=10.
Answer:
3x - 5y = - 18
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
3x - 5y = 10 ( subtract 3x from both sides )
- 5y = - 3x + 10 ( divide through by - 5 )
y = [tex]\frac{3}{5}[/tex] x - 2 ← in slope- intercept form
with slope m = [tex]\frac{3}{5}[/tex]
• Parallel lines have equal slopes , then
y = [tex]\frac{3}{5}[/tex] x + c ← is the partial equation of the parallel line
to find c substitute (- 1, 3 ) into the partial equation
3 = - [tex]\frac{3}{5}[/tex] + c ⇒ c = 3 + [tex]\frac{3}{5}[/tex] = [tex]\frac{18}{5}[/tex]
y = [tex]\frac{3}{5}[/tex] x + [tex]\frac{18}{5}[/tex] ← equation of parallel line in slope- intercept form
multiply through by 5 to clear the fractions
5y = 3x + 18 ( subtract 5y from both sides )
0 = 3x - 5y + 18 ( subtract 18 from both sides )
- 18 = 3x - 5y , that is
3x - 5y = - 18 ← in standard form
Please help me with this problem
The variable for the number of wraps and the number of gift bags are x and y.
What are linear and non-linear functions?A linear function can be used to depict a straight line on the coordinate plane. The equation y = 3x - 2 serves as an illustration of a linear function since it represents a straight line in the coordinate plane.
Nonlinear functions are those whose graphs do not follow a straight line. A graph of it can be any curve other than a straight line.
A quadratic function is an illustration of a non-linear function.
Let, The number of wraps be 'x' and the number of gift bags be 'y'.
Therefore, From the given information x + y = 25 and 6x + 2y = 110.
Solving this linear system graphically we have an intersection (x, y)
at (15, 10).
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How many pairs in a set?
If the Set A is denoted by the set of elements {1,2,3} , then the number of ordered pairs that it can have is 9 .
The Ordered Pair is defined as a pair formed by two elements which are separated by comma and written inside the parentheses .
For Example : the (x,y) represents a ordered pair .
The Ordered Pairs can be obtained by developing a function or by performing the operation which is called as Cartesian product.
The set A is given as : {1,2,3} ;
the ordered pair can be written as : [tex](1,1) , (2,2), (3,3) , (1,2) , (1,3) , (2,1) , (2,3) , (3,1) , (3,2) .[/tex]
Therefore , The number of ordered pairs formed of Set A are 9 .
The given question is incomplete , the complete question is
How many ordered pairs can be formed from the set A = {1,2,3} ?
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A rectangle has a width of 15 cm and a length of 25 cm. What is the perimeter of the rectangle?
A. 50 cm
B. 75 cm
C. 100 cm
D. 125 cm
Answer:
The perimeter of a rectangle is the total distance around the outside of the rectangle. To find the perimeter of a rectangle, you add the lengths of all four sides.
In this case, the width of the rectangle is 15 cm and the length is 25 cm. To find the perimeter, we add the lengths of all four sides, which are:
15 cm + 15 cm + 25 cm + 25 cm = 75 cm
Therefore, the perimeter of the rectangle is 75 cm. The answer is B. 75 cm.
Step-by-step explanation:
What are the two types of longitude?
The two types of longitude are the Prime Meridian and the International Date Line.
The Prime Meridian is the imaginary line of 0° longitude that divides the earth into the Eastern and Western hemispheres. It passes through Greenwich, England and is the reference point for all other longitudes on the Earth’s surface.
The International Date Line is an imaginary line located on the opposite side of the Earth from the Prime Meridian at 180° longitude. It is the reference point from which we measure the date change when traveling from one side of the world to the other.
The calculation for longitude is fairly simple. Longitude is measured in degrees, with a full circle being 360°. Each degree can be divided into 60 minutes and each minute into 60 seconds. To calculate the longitude, the degree and minutes are added together and converted into decimal form. For example, if a point has a longitude of 15° 22’ 30”, the calculation would be 15 + (22/60) + (30/3600) = 15.375°.
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100 points
solve each system by graphing
y=5/4x + 1
y=1/4x-3
Answer:
(- 4, - 4)------------------------
Given system:
y = 5/4x + 1y = 1/4x - 3Plot each line and find the intersection, this is the solution.
The solution is (-4, - 4) as per attached graph.
A factory makes 718 toy trains in one day. The toy trains are placed in boxes of 30
Answer:
23.9
Step-by-step explanation:
HELP PLEASE
Solve the right triangle if the hypotenuse is 5 and one acute angle is 34°. Round answers to two decimal places.
Given that the hypotenuse of the right triangle is as given then;
i. α = 56^o
ii. Adjacent = 2.80
iii. Opposite = 4.15
Properties of a right angled triangle.A right triangle is a type of triangle which has only one of its internal angles equal to 90^o. Thus the hypotenuse is opposite to the greatest angle, while the second long side is opposite to the greater angle, and the shortest side opposite to the measure of the least angle.
Applying the Pythagorean theorem to the triangle, we have;
i. The sum of angles in a triangle is 180^o. So that;
α + 34 + 90 = 180
α + 124 = 180
α = 56^o
ii. Let the length of the opposite side be represented by y;
Sin θ = opposite/ hypotenuse
Sin 34 = y/ 5
y = 5 * Sin 34
= 2.796
The length of its opposite side is 2.80.
iii. Let the length of the adjacent side be represented by x;
Cos θ = adjacent/ hypotenuse
Cos 34 = x/ hypotenuse
= x/ 5
x = 5 * Cos 34
= 4.145
The length of its adjacent side is 4.15.
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eliminate the parameter t to find a Cartesian equation for:
x=t2
y=2+3t
x=Ay2+By+C
Where A=________ B=__________ and C=________
Cartesian equation for x=t2,y=2+3t, x=Ay2+By+C, Where
A=1, B=0, and C=0
To eliminate the parameter t and find a Cartesian equation for the given equation, we need to solve for t in terms of x and substitute it into the equation for y.
We start by solving for t in terms of x:
t = √x
Now, we substitute this into the equation for y:
y = 2 + 3√x
Therefore, the equation for x and y becomes:
x = x
y = 2 + 3√x
Which can be represented as a Cartesian equation:
Ay2 + By + C = 0
where A=1, B=0, and C=0.
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The division property of equality could be used to solve which of the following equations?
X/4= 16
(x+2)(x-2) = 0
5 x=30
x+3=7
2y = 6x + 4
y = -2x + 2
find x and y
The value of x is 0.
The value of y is 2.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 9 is an equation.
We have,
2y = 6x + 4 _____(1)
y = -2x + 2 ______(2)
Substituting (2) in (1).
2 (-2x + 2) = 6x + 4
-4x + 4 = 6x + 4
4 - 4 = 6x + 4x
10x = 0
x = 0
Now,
x = 0 in (2)
y = -2 x 0 + 2
y = 0 + 2
y = 2
Thus,
The value of x and y is 0 and 2.
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Find the measure of each unknown angle. (all question) please explain how to solve these questions!
Therefore , the solution of the given problem of triangle comes out to be angle is 58° is third angle.
What precisely is a triangle?Since a triangle has four or even more sections, it is a polygon. It has an easy geometric form. Triangle ABC refers to a square with edges A, B, and C. A single plane or square are produced by Euclidean geometry when the edges are not collinear. A triangle is a polygon if it has three sides & three corners. Where a triangle's three sides come together are known as the corners. A triangle's angles add up to 180 degrees.
Here,
Given :
A triangle has given angles ,
To find the angle :
=> x + 98° + 24° = 180°
=> x = 180° - 122°
=> x = 58°
Thus , angle is 58° .
Therefore , the solution of the given problem of triangle comes out to be angle is 58° is third angle.
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What are the 5 steps to solving inequalities?
The five steps to solving inequalities are:
Isolate the inequality symbol by using inverse operations. Simplify the inequality by combining like terms on either side of the inequality. Graph the inequality on a number line. Make a sign analysis of the inequality by determining the sign of the expression on either side of the inequality. Find the solution set of the inequality by identifying the values that make the inequality true.To solve an inequality, one must isolate the inequality symbol, simplify the inequality, graph the inequality on a number line, make a sign analysis of the inequality, and find the solution set of the inequality.
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How do you find the exterior angle of a triangle Class 7?
A triangle's exterior angle is the product of its interior opposing angles.
Exterior angles are those that run parallel to a polygon's exterior angles but are located outside of it. The sum of the two internal opposed angles determines the size of an outside angle.
At each vertex, there are two equivalent exterior angles.
Each vertex often only shows one external angle, though.
A triangle's exterior angles have these three essential qualities:
(1) A triangle's corresponding and exterior angles pair together to form a linear pair of angles. The inner and exterior angles therefore total up to 180 degrees.
(2) The size of a triangle's external angle is equal to the sum of its two diametrically opposed internal angles. The exterior angle theorem is another name for this property.
(3) A triangle's outside angles add up to a total of 360.
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How do I Create a table in form?
Therefore , the solution of the given problem of table comes out to be we can create a table in form by following below steps.
Explain a table.A mathematical list is a list of numbers that represents the results of a calculation with several inputs. organized in rows and columns, data consists of numbers and descriptions. It is simple to recall the table and the 10 pattern. 3, 6, 9, 12, 15, 18, 21, 24, 27, and 30 are the numerals in numerical order. Value mapping are used to illustrate the connections between various data elements.
Here,
Import the layout table by moving the pointer to the desired location on the form template.
Click Insert, followed by Layout Table, in the Tables toolbar.
The number of rows and rows to be included in the table should be entered with in Insert Table dialog box.
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Which of the diagrams A-D shows the locus of points inside the rectangle PQRS that are 5 m away from the edge QR? A с S P₁ S 5m 5m E 1Q R 7Q R B P S P₁ S 5m 5m 1Q R 1Q R
The correct answer is B.
Solve For Each Variable 17n+8=104+5n
The solution of the expression 17n + 8 = 104 + 5n for the variable n is given as follows:
n = 8.
How to solve the expression?The expression for this problem is defined as follows:
17n + 8 = 104 + 5n
Combining the like terms, the expression is given as follows:
17n - 5n = 104 - 8.
12n = 96.
The inverse operation of the multiplication is the division, hence the value of n is obtained as follows:
n = 96/12
n = 8.
Which is the solution of the expression for the variable n.
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Algebra 2, I remember doing this but i’m confused bc I remember like (f)g)(x) something like that so do I multiply or what?
If the function g(t) is -4t + 5 then (g o g)(t) will be 16t - 15.
What is a function?A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain. Originally, functions were the idealization of how a varying quantity depends on another quantity.f(g(x)) means so wherever there is an x in the function f, the function g(x) is substituted.Here given function,
g(t) = -4t + 5
We have to find (g o g) (t)
(g o g)(t) = g(g(t))
= g(-4t + 5)
= -4(-4t + 5)+ 5
= 16t -20 +5
= 16t - 15
Therefore the function (g o g)(t) is 16t - 15.
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What are the first five multiples 8?
Answer:
Step-by-step explanation:
The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80… and so on.
Find the coordinate of the point where the line through (-1, 1, - 8) and
(5,-2, 10) croe the ZX plane.
The point of intersection is (1, 0, -2)
To find the point where the line through (-1, 1, -8) and (5, -2, 10) crosses the ZX plane, we need to find the point on the line that has a y-coordinate of 0.
We know that the equation of a line in 3D space is given by:
P = P0 + t(P1 - P0)
where P0 is a point on the line, P1 is another point on the line, t is a scalar parameter, and P is a variable point on the line.
We can substitute in the coordinates of the two given points for P0 and P1:
P = (-1, 1, -8) + t((5, -2, 10) - (-1, 1, -8))
and set the y-coordinate to 0:
1 + t(-3) = 0
t = 1/3
so the point of intersection is:
P = (-1, 1, -8) + (1/3)((5, -2, 10) - (-1, 1, -8))
P = (-1, 1, -8) + (1/3)((6, -3, 18))
P = (-1, 1, -8) + (2, -1, 6)
P = (1, 0, -2)
So the point of intersection is (1, 0, -2)
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5. Waimarama goe on a flight from Bueno Aire to Auckland and mie all
24 hour of her birthday. How could thi happen? Decribe a flight where
that would happen
According to the concept of time difference, the resulting situation is explained below.
The term time difference refers the difference between one measurement of time and another; the length of a time interval and the difference in clock time between two or more different time zones.
Here we have given that Waimarama goes on a flight from Buenos Aires to Auckland and misses all 24 hours of her birthday.
Here we want to know that we need to consider that the cities are in different time zones is Buenos Aires is 16 hours behind of Auckland.
Here we also know that Airlines require travelers to check in 2 or three hours before the flight. Check with the Airlines for their regulations. Accordingly ensure you reach the Airport at least 2 or 3 hours before the scheduled departure of the Aeroplan.
Through the given details, we have identified that following values,
Aeroplan Travelling time = 16
Check in time = 3
Departure time = 3
Home town travel time = 2
when we sum up all these we can get the total time as,
=> 16 + 3 + 3 + 2
=> 24 hours.
Based on these we have concluded that she misses her whole birthday for travelling.
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15.
Marco is making blueberry muffins. The ratio between flour and blueberries for the recipe being used is shown in the table below.
Cups of Cups of
Flour Blueberries
1-2
24
A.Ocup
2
8
How many cups of blueberries will Marco need if he has 2 cups of flour to use?
B.
cup
D
1
2
3
4
1
c. 11 cups
6 cups
Therefore , the magical ratio for muffins is therefore 2:2:1:1, which is the answer to the ratio problem that was provided.
What is a ratio?An ordered combination of numbers “ a ” and “ b that is stated as just a / b, where b not greater than zero, is referred to as a ratio. A ratio is the result of equating two ratios. If there were one boy and three girls, the ratio could be shown as 1:3. 1/4 are boys, and 3/4 are girls. A part is a number, a proportion of size, or a difference among two or more things.
Here,
Since: Marco To avoid your batter and bakery items acquiring a purple-blue tinge, wash freeze blueberries multiple times in water it until water becomes lighter in color.
The magic muffin ratio is 2:2:1:1, which equals 1-two cups and 2,8 cups.
With a paper towel, dry them off, and then delicately fold it into the batter. Maintaining the lightness of rapid breads is the aim of this process.
The magical ratio for muffins is therefore 2:2:1:1, which is the answer to the ratio problem that was provided.
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The scores of 10 students on a history test are 85, 79, 65, 72, 86, 66, 90, 98, 78, and 76. Which box plot represents the given data?.
The box will start at 72 and end at 86. At 78.5, a vertical line will be drawn through the box. Arrows will appear at both ends of the box. The one on the left will come to a halt at 65 miles per hour, while the one on the right will come to a halt at 98 miles per hour.
What is box plot?A box plot, often known as a boxplot, is a method in descriptive statistics for graphically displaying the localization, spread, and skewness groups of numerical data through their quartiles. A box plot is a graphical representation of statistical data that uses the lowest, first quartile, median, third quartile, and maximum values. The name "box plot" refers to how the graph resembles a rectangle with lines extending from the top and bottom. Box and whisker plots, often known as box plots, are an excellent graphic for displaying the distribution of data points over a specified metric. These graphs show ranges within variables that have been measured. Outliers, the median, the mean, and where the majority of the data points fall inside the "box" are all included.
Here,
65, 66, 72, 76, 78, 79, 85, 86, 90, 98
Q1 = 72
(78 + 79) / 2 = 78.5 Q2 (median)
Q3 = 86
min = 65
max = 98
So the box plot will look like this:
The box will begin at 72 and conclude at 86. At 78.5, a line will be drawn vertically through the box. Arrows will emerge from both ends of the box. The one on the left will come to a stop at 65, while the one on the right will come to a rest at 98.
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100 POINTS! PLEASE HELP
Given that one of the factors is (x-5), which graph represents the polynomial function?
y=-x^4 +6x^3 +11x^2 -60x -100
The graph on the bottom left represents the polynomial function
y = -x⁴ + 6x³ + 11x² - 60x - 100.
What is graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.
The relationships between two or more items are frequently represented by the points on a graph.
Given:
An equation,
y = -x⁴ + 6x³ + 11x² - 60x - 100.
And one of the factors of the equation is (x-5).
That means, x = 5 is one of the roots of the equation.
From the given graphs,
we can eliminate top left graph and bottom right graph.
Because, the graphs of the equation do not touch the x-axis at x = 5.
Let x = -2,
Then,
y = -(-2)⁴ + 6(-2)³ + 11(-2)² - 60(-2) - 100.
y = -16 -48 + 44 + 120 - 100
y = 0
That means,
x = -2 is one of the roots of the equation.
And the graph is given in the attached image.
And the graph is the bottom left graph.
Therefore, the graph in the bottom left is the required graph.
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Evaluate the expression when a=−15
and b=−5
a/b
Answer: 3
Step-by-step explanation:
The Vincent family uses up a
1
2
-gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:
4 gal / day
Step-by-step explanation:
12 gallons / 3 days
12/3 = 4
4 gallons / 1 day
Need help on this one
10. Last year students were offered pictures for purchase as a basic package plus sheets of portraits.
The table below shows the relationship between p, the number of sheets of portraits purchased, and c,
the total cost of all the pictures ordered.
Number of Portrait
Sheets, p
1
3
6
8
Total Cost ($), C
33
49
73
89
11.3=33
10
+23
This year the price of the basic package increased by $3. What is the new cost of 4 sheets of portraits?
On solving the provided question, we can say that by addition new total cost = 36 52 76 92
what is addition?The other three fundamental operations are subtraction, multiplication, and division. Addition is one of the four basic operations. The sum or total of these combined values is obtained by adding two integers. The process of merging two or more numbers is known as addition in mathematics. Numbers are added together to form addends, and the outcome of this operation, or the final response, is referred to as the sum. This is one of the crucial mathematical operations we employ on a regular basis. You would add numbers in a variety of circumstances. Combining two or more numbers is the foundation of addition. You can learn the fundamentals of addition if you can count.
here,
Number of portrait sheet = 1 3 6 8
Total cost = 33 49 73 89
A, This year the price of the basic package increased by $3.
so new total cost = 36 52 76 92
here,
we use addition
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Given: m∥n , m∠1=65∘ , m∠2=60∘ , and BD−→− bisects ∠ABC . Prove: m∠6=70∘ Line m parallel to line n. Line t passing through both lines. There are four angles formed by lines m and t intersecting at point B. The lower left angle is labeled 5. The upper right angle is angle A B C with point A on line t and point C on line m. Angle A B C is separated by ray B D. The angle on the right side of the ray is labeled 4. The angle on the left side is labeled 3. A segment joins points A and D forming a triangle with angle 3 as one of its interior angles. The other two interior angles are labeled 1 and 2. There are four angles formed by lines n and t intersecting. The upper left angle is labeled 6. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. It is given that m∥n , m∠1=65∘ , m∠2=60∘ , and BD−→− bisects ∠ABC . Because of the triangle sum theorem, m∠3=55∘ . By the Response area, ∠3≅∠4 , so m∠4=55∘ . Using the Response area, m∠ABC=110∘ . m∠5=110∘ because vertical angles are congruent. Because of the Response area, m∠5+m∠6=180∘ . Substituting gives 110∘+m∠6=180∘ . So, by the Response area, m∠6=70∘ .
The answers are as follows:
1 Angle Bisector Theorem
2 Sum of Adjacent Angles
3 Co-interior angle property
4 Additive law
What is parallel line?Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.Given:
Note: Diagram for Question is attached
1. Angle Bisector Theorem
The angle bisector is BD. Bisection entails splitting into two equal pieces. Angles 3 and 4 are therefore equal.
2. Sum of Adjacent Angles
To determine the greater angle that is created by the two adjacent angles, add the two angles together.
3. Co-interior angle property
According to the co-interior property, the sum of interior angles (on the same side) formed when a single line crosses two parallel lines is equal to 180.
4. Additive law
By applying the additive law, we can take a value away from both sides of the equation without throwing the equation out of balance. Therefore, we may take 110 out of both sides of the equation to get the final result of 70.
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