1 1/4 times 2 2/3
HELPPPPP ME PLEASE

Answer: y = 1/4x +1

Step-by-step explanation:

First, we can find the midpoint of the line segment using the average of x and y coordinates of the endpoints:

M(x,y) = ((-2 + (-6))/2 , (-9 + 7)/2)

M(x,y) = (-4, -1)

To find the slope of the perpendicular bisector, we have to take the negative reciprocal of the slope of the line segment which is (y2-y1)/(x2-x1) = (7-(-9))/(-6-(-2)) = -16/4 = -4

Slope of the perpendicular bisector = -1/slope of the line segment = -1/(-4) = 1/4

Now we can use the point-slope form to find the equation of the line:

y - y1 = m(x - x1)

y - (-1) = 1/4(x + 4)

y = 1/4x +1

so the equation of the perpendicular bisector of the line segment whose endpoints are (-2,-9) and (-6,7) is y = 1/4x +1

Answer:

840 quarts could be made in 12 hours. The rate per day is 1680 quarts could be made per day.

Step-by-step explanation:

140/2=x/12

reduce/simplify 140/2 to 70

so 70/1=x/12.

cross product

70*12=1*x

840=x

One day has 24 hours,

so we multiply 2 by 12 to get 24,

thus 840*2=1680.

Answer:

Option D

Step-by-step explanation:

Remember that the sum of all angles in ANY triangle is 180 degrees. Also, remember that an acute triangle has angles that are all less than 90 degrees. So not only do our options have to add up to 180 degrees, but they also have to be less than 90 degrees in order for the triangle to be acute.

We can immediately exclude options A, B, and C because all three options have angles greater than 90 degrees, which means the triangle isn't acute.

Your answer is option D or "70, 80, 30." Since...

70 + 80 + 30 = 180
70 < 90
80 < 90
30 < 90

Hope this helps.

The system of equations 12x + 51y = 156 and -8x - 34y = -104 has infinitely many solutions

An equation is an expression composed of variables and numbers linked together by mathematical operations.

Given the equation:

12x + 51y = 156

Dividing by 3:

4x + 17y = 52       (1)

Also:

-8x - 34y = -104

Dividing by 2:

-4x - 17y = -52    (2)

To solve both equation by elimination, add equation 1 and 2:

0 = 0

The equation has infinitely many solutions

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The statements that are true about rhombus MNPQ include A. and B.

A quadrilateral with a diamond shape is a rhombus. It has four equal sides with the opposite sides running parallel to one another. It resembles a square that is skewed.

A rhombus is a quadrilateral with four equal-length sides in plane Euclidean geometry. The term "equilateral quadrilateral" refers to a quadrilateral whose sides all have equal lengths.

Based on the diagram, it should be noted that NR equals QR as they are the same.

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Given that segment BD bisects segment AC, the value of x is 5.8 units.

If the corresponding sides and/ or internal angles of two shapes have some  common properties, then it can be said that the shapes are similar. Though similarity does not mean congruency.

Given that segment BD bisects segment AC, the value of x can be determined by comparing the sides of triangles ABD and BCD.

Thus, we have;

x/ 7 = 14/ 17

17x = 7 * 14

     = 98

17x = 98

x = 98/ 17

  = 5.76

x = 5.8 units

Thus to the nearest tenth, the value of x is 5.8 units.

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Since ​14​ is equivalent to 8x, that number must be 14 ÷ 8. Then ​14 ÷ 8 = x, because of the inverse relationship between multiplication and division.

There are 4 basic mathematical operations which are addition, subtraction, division and multiplication.

Multiplication and division are inverse operations because multiplication undoes division and also division undoes multiplication.

We want to find the quotient of 14 and 8. This is expressed as 14 ÷ 8.

Now, we are told to consider that some number times 8 equals ​14. Let the number be x and as such we have;

8x = 14

Now, since 14 is equal to 8x, then that number must be gotten by using the inverse relationship by multiplying both sides by 1/8 to get;

x = 14/8

Finally, ​14÷8 = x because of the inverse relationship between multiplication and division.

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According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.

The smallest polygon with three sides and three interior angles is a triangle.

A triangle is a three-sided polygon that consists of three vertices, three sides, and three angles. Three types of triangles—scalene, isosceles, and equilateral—can be distinguished based on the length of their sides.

It can be an acute-angled, obtuse-angled, or right-angled triangle depending on the size of its angles. A triangle's internal angles add up to 180 degrees. Two more terms—altitude and triangle median—are introduced to you in this essay.

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An inverse function or  anti function is defined as a function, in which the graph can be  reverse into another function. hence commonly , if any type of function “f” takes x to y then, the inverse of “f”  function will take y to x.  hence  the function is represented as ‘f’ or ‘F’, then the inverse function is denoted by [tex]f^{-1} and F^{-1}[/tex].

let us assume that  f and g are inverse functions, then the condition for  f(x) = y if and only if g(y) = x

when the graph is represented in an original function which has to be  one-to-one function in order  to assure that its inverse is an function. A function is said to be a one to one function only if  function of every second element corresponds to the first value .

The graph of function is  the inverse of a function which  reflects two things, that is , one represents the  function and second represents the inverse of the function, over the line y = x. This line in the graph passes through the origin and which  has slope value  equal to 1 and represented as;

y = f-1(x)     which is equal to     x = f(y)

This relation is basically  similar to y = f(x), which tells that  graph of f but the part of x and y are reversed here. So if we have to draw the graph of f-1, then we have to manipulate the positions of x and y in coordinate axes.

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Answer:

The y-intercept of -5x+7y=8 is (0,8/7)

Step-by-step explanation:

The y-intercept of a linear equation is the point where the graph of the equation crosses the y-axis. In this equation, when x = 0, the equation becomes 7y = 8, so the y-intercept is (0, 8/7).

Answer:I hope this helps

Step-by-step explanation:

-5x+7y=8

To find the -intercept, substitute x=0 something like this

-5 times 0+7y=8

Solve the equation for Y which is something like

y=8/7 this your answer for the y intercept.

Answer:

Step-by-step explanation:

The solution for the given system of equations would be (6, 6).

What is the system of equations?

A system of equations is a set of two or more equations that are solved simultaneously. Each equation in the system contains one or more variables, and the goal is to find the values of the variables that satisfy all the equations in the system.

y = -1/6x + 7

y = 2x - 6

To graph the equations y = -1/6x + 7 and y = 2x - 6, we can follow these steps:

Plot the y-intercepts of the equations: The y-intercept is the point where the line crosses the y-axis. For the equation y = -1/6x + 7, the y-intercept is (0,7), and for the equation y = 2x - 6, the y-intercept is (0,-6).

Draw the lines: Starting from the y-intercepts, use the slope of the lines to draw the lines. The slope of the first equation is -1/6 and the slope of the second equation is 2.

Find the x-intercept: The x-intercept is the point where the line crosses the x-axis. For the equation y = -1/6x + 7, the x-intercept is (-42,0) and for the equation y = 2x - 6, the x-intercept is (-3,0)

Locate the point of intersection: The point of intersection of the two lines is the solution of the system of equations. The point of intersection for the given equation is (3,1).

Label the axes and the lines: Label the x- and y-axes, and give the lines descriptive names or equations.

Now draw the graph, we get

Hence, the solution for the given system of equations would be (6, 6).

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It is possible to construct a triangle with lengths of its sides 8cm, 7cm and 4cm because the sum of two sides of a triangle is greater than the third side.

Now, According to the question:

We know that:

What is triangle inequality rule?

The triangle inequality theorem states that for any given triangle, the sum of the two sides is always greater than the  third side. The Triangle is a polygon with three line segments as its boundaries.

Suppose A, B and C are three sides of a triangle, then by using triangle inequality rule, A + B > C then A, B and C make a triangle.

We have the sides:

4 , 7 and 8

4 + 7 > 8

It is possible to construct a triangle with lengths of its sides 8cm, 7cm and 4cm because the sum of two sides of a triangle is greater than the third side.

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Answer: The relation between the time it will take Rashid to make the trip, t, and the speed at which he slows down, v, can be determined by using the formula:

distance = speed * time

We know that Rashid travels 240 km from Abu Dhabi to Sharjah and that he originally drove at 120 km/h for 2 hours. So, we can write the equation:

240 = 120 * 2

Now, if Rashid slows down by v km/h, then the new speed is (120 - v) km/h and the new time, t, can be determined by substituting the new speed and distance into the equation:

240 = (120 - v) * t

So the relation shows that t = (240 / (120 - v))

This relation shows that the time, t, it will now take Rashid to make the trip is directly proportional to the speed, v, at which he slows down. As Rashid slows down, the time taken to make the trip will increase, and as he speeds up, the time will decrease.

Step-by-step explanation:

Using the slope and y - intercept, the linear function that models this problem is y = -33.333x + 68.32

A system of linear equation is a set of at least two linear equations containing the same set of variables. Linear equations use only polynomial coefficients and the operations of addition, subtraction, multiplication and division. The solutions to a linear equation system are the values of the variables which make all the equations true.

To solve this problem, we have to define our variables and set our system of linear equations.

Let;

Using the data given, we can find the slope and y - intercept of a linear function that represents this.

slope (m) = y₂ - y₁ / x₂ - x₁

m = 64.99 - 59.99 / 0.10 - 0.25

m = -33.333

Using the slope in the slope-intercept form of a linear equation

y = mx + c

Taking one point;

59.99 = -33.333(0.25) + c

c = 68.32

The linear equation can be written as;

y = -33.33x + 68.32

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A. The quotient is given as follows: 60.9 miles / 3.5 hours.

B. The exact distance that she rode in one hour is of: 17.4 miles.

The measures in this problem are obtained considering the relation between velocity, distance and time.

The relation between velocity, distance and time states that the velocity is obtained by the quotient of the distance by the time, as follows:

v = d/t.

In which:

The parameters for this problem are obtained as follows:

Hence the average velocity is obtained as follows:

v = d/t

v = 60.9/3.5

v = 17.4 miles per hour.

This means that the exact distance that she rode in one hour is obtained as follows:

17.4 = d/1

d = 17.4 miles.

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The conventional equation y = ax2 + bx + c yields the vertex (h, k) as h(x-coordinate of the vertex) = -b/2a.

When it comes to geometry, a coordinate system is a technique that uses one or more integers or coordinates to specify the exact location of points or other geometrical objects on a manifold, such as Euclidean space. Locating a point or item on a two-dimensional plane requires the usage of pairs of integer coordinates. Two numbers known as the x and y coordinates serve as a description of a point's location on a 2D plane. a collection of figures that signify exact locations. Most often, the figure contains two numerals. The first number denotes the distance from front to rear, and the second number denotes the distance from top to bottom. In (12.5), for example, there are 12 units below and 5 above.

given

a) the intercepts are (4,0) , (1,9) and (-2 , 0 ) of the given figure

b) The equation for the parabola's axis of symmetry can be found in the vertex's x-coordinate.

(1,9) is the axis of symmetry

c) The conventional equation y = ax2 + bx + c yields the vertex (h, k) as h(x-coordinate of the vertex) = -b/2a.

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The surface area of the square pyramid is B)61.25[tex]cm^2[/tex]

What is surface area of square pyramid?

The term "square pyramid" also refers to a polyhedron having a square base and four triangular faces. Where the four faces come together is known as the apex. The pyramid's faces connect the base and the tip. The calculation for the square pyramid's surface area adds the areas of the four triangular faces and the base.

Here the given measures are base = 3.5 cm and height = 7cm.

Now using surface area formula then

Surface area of the square pyramid = Base area + 2bl square unit.

Base area = 3.5 × 3.5 = 12.25[tex]cm^2[/tex]

=> Surface area = 12.25+ 2×3.5×7

=> Surface area = 12.25+49

=> Surface area = 61.25[tex]cm^2[/tex]

Hence the surface area of the square pyramid is B)61.25[tex]cm^2[/tex]

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Answer:

Step-by-step explanation: v = 1/3π[tex]r^{2}[/tex]h

[tex]\frac{1}{3}[/tex]π([tex]1.5^{2}[/tex]) x 15

[tex]\frac{1}{3}[/tex]π x 2.25 x 15

=35.34291

Answer:

  p:q:r = 12:15:10

Step-by-step explanation:

Given p:q = (2/3):(5/6) and q:r = (3/4):(1/2), you want p:q:r.

We can turn each ratio into a ratio of integers by multiplying by the least common denominator.

  p:q = 4:5 . . . . . . . multiply the given ratio by 6

  q:r = 3:2 . . . . . . . multiply the given ratio by 4

Now, we need to have q be represented in each ratio by the same number. That number will be the least common multiple of its representations in these ratios: LCM(5, 3) = 15.

Multiplying the first ratio by 3, we have ...

  p : q = 12 : 15

Multiplying the second ratio by 5 gives ...

  q : r = 15 : 10

Now, we can write the ratio of interest:

  p : q : r = 12 : 15 : 10

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Answer: The first graph

Step-by-step explanation:

Graph the absolute value using the vertex and a few selected points.

Hope this helps !

The cost of admission for an adult is $10 and for a child is $6

The cost of each ride for an adult is $1.50 and for a child is $1

The adult will spend $10 for admission + $1.5 x 7 rides = $17.5

The child will spend $6 for admission + $1 x 7 rides = $13

The adult spent $17.5 - $13 = $4.5 more than the child.

Answer:

80 %

Step-by-step explanation:

Christine enjoyed 44 out of the 55 movies she watched.

This can be represented as

44/55 movies. This fraction simplified is 4/5 or 80 %

Graph of g(x) = (1/2)ˣ i.e. Graph of f(x) = 2x reflected over the y-axis is drawn below.

A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math.

f = {(a, b)| for all a ∈ A, b ∈ B}.

Given, the function

f(x) = (2)ˣ

g(x) = (1/2)ˣ

g(x) is the graph of f(x) reflected over y- axis.

The rule of reflection over y-axis:

(x, y) → (-x, y)

Thus, when a graph gets reflected over y-axis it means that horizontal components are additive inverse of the original horizontal components.

Therefore the graph of g(x) = (1/2)ˣ is as follows.

Hence, below is the graph of g(x) = (1/2)ˣ that is graph of f(x) reflected over y- axis.

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Answer:

4/3 as an exponent is 4 to the 3rd power ( so four with a three right above it a little)

Step-by-step explanation:

The measure of the alternate exterior angle made by the intersection of road B and road C is 77 degrees.

The pair of angles known as alternate exterior angles are those that are formed on the opposite side of the transversal from the parallel lines' outer side.

According to the alternate exterior angle theorem, alternate exterior angles are regarded as congruent angles or angles of equal measure when two parallel lines are intersected by a transversal.

In this case, two roads, A and B, run parallel to each other. A third road, C, passes through both A and B. Road C creates an exterior angle of 77 with road A. Therefore, the angle will also be equal to 77°.

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Answer: 22.5

Step-by-step explanation: To get a percentage of a number you multiply the number you want the percentage of (125), and multiply it by your percent in decimal form. So basically the equation went like this: 125 x 0.18 = 22.5. Another example of this would be if you wanted to find 60 percent of 20. You would just take 60 and put it in decimal form and multiply. 20 x 0.60 = 12. Hope this helps!

The three various steps of problem-solving methods are.

A problem must be defined, its root cause must be found, then there must be a search for, ranking, and selection of potential solutions, followed by their implementation. the actions taken to fix issues.

Clarifying:

Ideating:

Developing:

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