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Gemiola [76]
2 years ago
5

What’s the answer to A

Mathematics
1 answer:
NISA [10]2 years ago
5 0

Answer:60

Step-by-step explanation:

plz like

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Write in slope-intercept form an equation of the line that passes through the points (−1,12) and (1,2).
zzz [600]

Answer:

y=-5x+7

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

the points (−1,12) and (1,2)

substitute

m=\frac{2-12}{1+1}

m=\frac{-10}{2}

m=-5

step 2

we know that

The equation of the line in slope intercept form is equl to

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=-5

point\ (1,2)

substitute in the linear equation and solve for b

2=-5(1)+b

b=2+5=7

therefore

y=-5x+7

4 0
3 years ago
A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs
LenKa [72]

Answer:

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

Step-by-step explanation:

Volume of the Cylinder=400 cm³

Volume of a Cylinder=πr²h

Therefore: πr²h=400

h=\frac{400}{\pi r^2}

Total Surface Area of a Cylinder=2πr²+2πrh

Cost of the materials for the Top and Bottom=0.06 cents per square centimeter

Cost of the materials for the sides=0.03 cents per square centimeter

Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)

C=0.12πr²+0.06πrh

Recall: h=\frac{400}{\pi r^2}

Therefore:

C(r)=0.12\pi r^2+0.06 \pi r(\frac{400}{\pi r^2})

C(r)=0.12\pi r^2+\frac{24}{r}

C(r)=\frac{0.12\pi r^3+24}{r}

The minimum cost occurs when the derivative of the Cost =0.

C^{'}(r)=\frac{6\pi r^3-600}{25r^2}

6\pi r^3-600=0

6\pi r^3=600

\pi r^3=100

r^3=\frac{100}{\pi}

r^3=31.83

r=3.17 cm

Recall that:

h=\frac{400}{\pi r^2}

h=\frac{400}{\pi *3.17^2}

h=12.67cm

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

3 0
3 years ago
Relationship A has a greater rate than Relationship B. This table represents Relationship B.
exis [7]

Answer:

y=16.4x I think it's wrong

5 0
3 years ago
How did they get -1 for -3(x-1)+3=9-2(x+1)
Ira Lisetskai [31]

Answer:

by answering hte questin

Step-by-step explanation:

3 0
3 years ago
With which set of information can you construct a unique triangle?
MrMuchimi

Answer:

D

Step-by-step explanation:

This would be using the SSS.

Which means knowing three sides.

The other options do not relate to any of the SSS, SAS, ASA, RHS

Hope that helped!!! k

7 0
3 years ago
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