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3 years ago

Can anyone help me on this?

Mathematics

1 answer:

Andrej [43]3 years ago

6 0

y = 56/2 x + 20
y = 28x + 20

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Given: A(12,9), B(-2,-5) Find: M

VARVARA [1.3K]

Answer:

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

$M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(12,9), B(-2,-5)

The midpoint M is

$M = (\frac{12 - 2}{2} , \: \frac{9 - 5}{2} ) \\ = ( \frac{10}{2} , \: \frac{4}{2} )$

We have the final answer as

Hope this helps you

4 0

3 years ago

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Use the intermediate value theorem to determine whether the polynomial function has a real zeros between the given integers.

zavuch27 [327]

$f(1)=-5\cdot1^4+8\cdot1^3+6\cdot1+1=-5+8+6+1=10\\
f(2)=-5\cdot2^4+8\cdot2^3+6\cdot2+1=-80+64+12+1=-3\\\\
f(1)>0\\
f(2)$
It does.

3 0

3 years ago

What is the volume of a hemisphere with a radius of 26.7 m, rounded to the nearest tenth of a cubic meter?

attashe74 [19]

Answer:

$39,865.1m^3$

Step-by-step explanation:

a hemisphere is half a sphere.

And if the formula for the volume of a sphere is:

$V=\frac{4\pi r^3}{3}$

we must calculate the volume of the sphere and in the end divide by two to find the volume of the hemisphere.

Since the radius is:

$r=26.7m$

substituting this into the formula for volume:

$V=\frac{4\pi (26.7m)^3}{3} \\\\V=\frac{4(3.1416)(19,034.163m^3)}{3} \\\\V=79,730.12m^3$

this is the volume of the total sphere, thus the volume of a hemisphere is:

$\frac{V}{2}=\frac{79,730.12m^3}{2}\\ =39,865.06m^3$

rounding to the nearest tenth:

$39,865.1m^3$

8 0

3 years ago

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A water park charges $5 for entry into the park and an additional $2 for each of the big water slides. Steven spent $17 on his v

morpeh [17]

LET X= ADDITIONAL AMOUNT
<u>EQAUTION=</u> 5+2x=17
-5 -5
__________
2x=12
_______
2 2
X=6 IS THE ANSWER. HOPE THIS HELPS!!!!!

7 0

3 years ago

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How to solve it to put 65% of his Christmas money in the bank.If he had $70 left after he put the money in the bank. How much mo

kow [346]

Answer:

$200

Step-by-step explanation:

Let X be the amount of Christmas money he had at the beginning.

He put 65% of X in the bank. This is 0.65x

He has $70 left which is equal to 0.35x

We need to write an equation to find the value of x.

70 = 0.35x

Divide by 0.35 to find the value of x.

70/0.35 = 0.35x/0.35

200 = x

He received $200 for Christmas.

8 0

3 years ago