Answer:
y = -x + 11
Step-by-step explanation:
The slope of the line y = -x + 4 is -1.
So the slope of our line is also -1 ( because they are parallel).
First use the point-slope form of the equation of a line:
y - y1 = m(x - x1) where m is the slope and (x1, y1) is a point on the line.
Here m = -1 and (x1, y1) = (6, 5).
So we have:
y - 5 = -1(x - 6)
y - 5 = -x + 6
y = -x + 11 <------ Slope intercept form.
Write the equation, in standard form of the quadratic relation
Zeros of 5 and 6 and a y-intercept of 30
Answer:
[tex]f(x)=x^2-11x+30[/tex]
Step-by-step explanation:
The factored form of a quadratic is given by:
[tex]f(x)=a(x-p)(x-q)[/tex]
Where p and q are the zeros, and a is the leading coefficient.
The quadratic relation has zeros of 5 and 6, and it has a y-intercept of 30.
Since the zeros are 5 and 6, p and q are 5 and 6. Thus:
[tex]f(x)=a(x-5)(x-6)[/tex]
The y-intercept is 30. In other words, when x = 0, f(x) = 30:
[tex]30=a(0-5)(0-6)[/tex]
Solve for a:
[tex]30=a(-5)(-6)\Rightarrow 30=30a\Rightarrow a=1[/tex]
Therefore, our quadratic in factored form is:
[tex]f(x)=(x-5)(x-6)[/tex]
To find the standard form, expand:
[tex]\begin{aligned} f(x)&=(x-5)(x-6)\\&= (x-5)x+(x-5)(-6)\\&=(x^2-5x)+(-6x+30)\\&=x^2-11x+30\end{aligned}[/tex]
What is the average of 89, 91, and 84?
Answer:
88
Step-by-step explanation:
Use the following formula
Average=Sum/Count
89+91+84=264
264/3
88
besties besties please help im desparate
What in the flipping Jeapordy is this, but anyway:
1) Simran needs a 65% to score an 80 test average
2) The length is 13 centimeters
3) Jake purchased 4 gadgets
4) 100 candles would need to be sold
5) You bought 3 drinks
Answer:
Step-by-step explanation:
miss girl you need homework plugs sorry queen have a good day
Find the sum.
5y+2/xy^2 + 2x-4/4xy
[tex]\frac{5y+2}{xy^2}[/tex]+[tex]\frac{2x-4}{4xy}[/tex]=[tex]\frac{xy+8xy+4}{2xy^2}[/tex]
or just (xy+8y+4)/2xy^2 if u can't see the equation
The value of the expression using sum will be (8y + xy + 4) / (2xy²).
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]
Simplify the expression, then we have
⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]
⇒ [4(5y + 2) / (4xy²)] + [y(2x - 4) / (4xy²)]
⇒ [(20y + 8) / (4xy²)] + [(2xy - 4y) / (4xy²)]
⇒ (20y + 8 + 2xy - 4y) / (4xy²)
⇒ (16y + 2xy + 8) / (4xy²)
⇒ (8y + xy + 4) / (2xy²)
The value of the expression using sum will be (8y + xy + 4) / (2xy²).
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
23. Geometric constructions require the following tools:
O a protractor, compass, and a pencil
O a compass, a straightedge, and a pencil
O a compass, scissors, and a pencil
O a protractor, a straightedge, and a pencil
Answer:
The correct option is;
Geometric constructions require the following tools;
A protractor, a straightedge, and a pencil
Step-by-step explanation:
The question relates to the tools required for a geometric construction. From the question options, the complete set of tools with which a geometric construction is made comprises of the following
1) A protractor, which is used for angle measurements
2) A straightedge, which is used to draw lines which are straight or for checking the straightness of a line
3) A pencil, which is made up of a graphite stick reinforced by an enclosure of wood or other material, is used for creating visible marks of drawings or writing on paper or some other writing materials by physical abrasion
A compass is used for navigation of the geographic cardinal directions and comprises of a magnet.
Answer:
Answer is compass, straightedge, and a pencil
Step-by-step explanation
have a nice day :)
If a = 24 ft, b = 31 ft, and c = 37 ft, what is the area of the backyard? help me
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Answer: 27528 ft^3
Explanation:
24 x 31 x 37 = 27528
I hope this helped!
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feet = 5/6 in a mile
Please give me a reasonable explanation, not just the answer. Thank you
One mile = 5,280 feet.
Understand?
I am assuming that you want to know what is 5/6 of a mile.
(5/6)(5,280) = 5(880) = 4,400 feet.
If by IN A MILE you mean division, then we do the following:
(5,280)/(5/6) = (5,280 • 6)/5 = 6,336.
Is either one or the other because your question is honestly not too clearly stated..
Determine if AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are parallel, perpendicular, or neither. Given: A (−1, 3), B (0, 5), C (2, 1), D (6, −1)
Answer:
perpendicular
Step-by-step explanation:
To determine if AB and CD are parallel, perpendicular, or neither, we need to get the slope of AB and CD first
Given A (−1, 3), B (0, 5),
Slope Mab = 5-3/0-(-1)
Mab = 2/1
Mab = 2
Slope of AB is 2
Given C (2, 1), D (6, −1)
Slope Mcd = -1-1/6-2
Mcd = -2/4
Mcd = -1/2
Slope of CD is -1/2
Take their product
Mab * Mcd = 2 * -1/2
Mab * Mcd = -1
Since the product of their slope is -1, hence AB and CD are perpendicular
for the arthritic sequence 5,9,13,17,21,... how many terms would you need to get to 129
9514 1404 393
Answer:
32
Step-by-step explanation:
The first term is 5 and the common difference is 9-5=4, so the n-th term is ...
an = a1 +d(n -1)
an = 5 +4(n -1) = 4n +1
Then the term number for the term 129 is ...
129 = 4n +1 . . . . . put the given value in the formula
128 = 4n . . . . . . . subtract 1
32 = n . . . . . . . . . .divide by 4
The 32nd term is 129.
A tendency to avoid putting money into high-risk investments is known as being
a.risk-adverse
b.conscientious saver c.investment-adverse
d.saver
Answer:
a
Step-by-step explanation:
Answer:
risk-adverse
Step-by-step explanation:
The term risk-averse describes the investor who chooses the preservation of capital over the potential for a higher-than-average return.
ZA and ZB are complementary angles. If mZA = (2x + 10)° and m
ZB = (3x + 15)', then find the measure of ZB.
Answer:
∠ZB = 54°
Step-by-step explanation:
Given:
Pair of complementary angles
∠ZA = (2x + 10)° and m
∠ZB = (3x + 15)
Find:
Measure of ∠ZB
Computation:
complementary angles
a + b = 90°
∠ZA + ∠ZB = 90°
(2x + 10) + (3x + 15) = 90
5x + 25 = 90
x = 13
So,
∠ZB = (3x + 15)
∠ZB = 13(3) + 15
∠ZB = 54°
Pls I need to know now
What’s the slope m and y-intercept b of both these images?
Answer:
Slope = 1
y-intercept = 3
Step-by-step explanation:
Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through two points (0, 3) and (-3, 0) will be,
Slope = [tex]\frac{3-0}{0-(-3)}[/tex]
Slope = 1
y-intercept of the line = distance between the origin and point of intersection of the line with y-axis
y-intercept = 3
HELP
Which of the following does Ax + By = C represent?
a) slope
b) standard form
c) slope intercept form
d) y intercept
Which of the following does b represent
A. Slope
B. Standard form
C. Slope intercept form
D. Y intercept
Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade? The area of the shade is ft2.
Answer:
24
Step-by-step explanation:
A triangle is a three sided polygon with three edges and three vertices
There are different types of triangles. They include :
Right angled triangle - one of the angles measure 90 degreesequilateral triangle - all three sides of the triangle are equalisosceles triangle - two sides of the triangle are equalArea of a triangle = 1/2 x ( base x height)
1/2 x (6 x 8) = 24 ft²
The average gas mileage (mpg) for vehicles produced by a particular automotive company is 26 mpg, with a standard deviation of 2 mpg. What percentage of the vehicles produced by the automotive company have a gas mileage greater than 24?
Note: Assume that a Normal model is appropriate for the distribution of the gas mileages for the vehicles.
About 68% of the vehicles have a gas mileage greater than 24 mpg.
About 32% of the vehicles have a gas mileage greater than 24 mpg.
About 84% of the vehicles have a gas mileage greater than 24 mpg.
About 16% of the vehicles have a gas mileage greater than 24 mpg.
Answer:
Using the 68-95-99.7 rule, about []% of autos should get more than 33 mpg
If i have 172 centimetres of ribbon to decorate a gift basket. How many more centimetres of ribbon would i need to make 3 metres
HELP
What is the equation of the line that passes through the point (1,0) and has a slope
of 1?
Answer:
y = x - 1
Step-by-step explanation:
Put it in point-slope form:
y - 0 = 1(x - 1)
y = x - 1
On a package of rice the directions say that the ratio of cups of water to cups of uncooked rice should be 5:3 Susan is confused about what the ratio is for cups of water:total cups of ingredients Determine what the correct ratio is for the cups of water total cups of ingredients indicated in the directions.Plz help me I need this!
Answer:
5:8
Step-by-step explanation:
water - 5 points
Rice - 3 points
total (rice + water) = 8 points.
Water:Total
5:8
Find 2.64 / 0.6 step by step
Answer: 4.6
Step-by-step explanation:
Haley opened a savings account and deposited $200 as
principal. The account earns 1% interest, compounded
monthly. What is the balance after 5 years?
Answer:
$320
Step-by-step explanation:
Let the graph of g be a vertical stretch by a factor of 2, followed by a translation 5 units down of the graph of f(x) = e". Write a rule for g
Answer:
g(x) = 2e - 5
Step-by-step explanation:
f(x) = e
2 f(x) = 2e : vertical stretch by a factor 2
2 f(x) - 5 : transition 5 units down
g(x) = 2 f(x) - 5 = 2e - 5
Division sum:
12 ➗ 2 =
100 ➗ 1 =
Answer:
12÷2=6
100÷1=100
Step-by-step explanation:
Answer: 6 and 1
Answer:
6
100
Step-by-step explanation:
in division:
12÷2=6
100÷1=100
all of the questions
what is 2,829 divided by 33
i realy need help with this
Answer:
85.72 is ur answer...
Hope it helps!!!
the price of a pair of earrings is $22 but priya buys them on sale for $13.20.
You deposit $1500 in an account that pays 5% interest compounded yearly. Find the balance after 6 years. please help
1500+5%= 1505 that is the answer I got I hope this was helpful
Solve please I’m trying to find out if it’s 1/20 or 5/4
Answer:
I’m pretty sure it’s 5/4
Step-by-step explanation:
ANYONE KNOW HOW TO SOLVE THIS!!!! PLEASE HELP ME!!! IT IS SOLVING SYSTEM EQUATIONS BY SUBSTITUTING!!
x+8y=20
4x-y=14
Answer:
x=4
y=2
Step-by-step explanation:
x+8y=20
4x−y=14
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
x+8y=20,4x−y=14
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
x+8y=20
Subtract 8y from both sides of the equation.
x=−8y+20
Substitute −8y+20 for x in the other equation, 4x−y=14.
4(−8y+20)−y=14
Multiply 4 times −8y+20.
−32y+80−y=14
Add −32y to −y.
−33y+80=14
Subtract 80 from both sides of the equation.
−33y=−66
Divide both sides by −33.
y=2
Substitute 2 for y in x=−8y+20. Because the resulting equation contains only one variable, you can solve for x directly.
x=−8×2+20
Multiply −8 times 2.
x=−16+20
Add 20 to −16.
x=4
The system is now solved.
x=4,y=2
I’m not sure how to do this