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3 years ago

8. Solve for the given variable in the following equations. (4 marks total)

Mathematics

1 answer:

____ [38]3 years ago

6 0

Step-by-step explanation:

V= π*r²*h

V/π = r²*h

v/(π*r²) = h

$\frac{x+y}{3}$ = 5

x+y = 15

x = 15-y

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Find the slope of DE and FG

Pavlova-9 [17]

Answer:

Part 1) The slope of DE is $m=\frac{c}{a+b}$

Part 2) The slope of FG is $m=\frac{c}{a+b}$

Step-by-step explanation:

we know that

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

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

step 1

Find the slope of DE

we have

D(-a-b,c) and E(0,2c)

substitute in the formula

$m=\frac{2c-c}{0-(-a-b)}$

$m=\frac{c}{a+b}$

step 2

Find the slope of FG

we have

F(a+b,c) and G(0,0)

substitute in the formula

$m=\frac{0-c}{0-(a+b)}$

$m=\frac{-c}{-(a+b)}$

Simplify the sign minus

$m=\frac{c}{a+b}$

Note The slope of DE is equal to the slope of FG. therefore DE and FG are parallel

7 0

3 years ago

So if the value of the solid's surface area is equal to the volume. Find the value of x

11Alexandr11 [23.1K]

Answer:The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 11 inches long and 3 inches wide. Height is not listed.

The height of the solid is 5in and the width is 6in. X is the value of the length

Step-by-step explanation:

7 0

3 years ago

What is the constant variation in the equation 3y=6x? Explain. PLEASE HELP IM DESPERATE

lbvjy [14]

Hi Desperate!

anyways the equation for constant variation is y=kx
3y=6x is it, but we don't want the 3.
so we divide on both sides to cancel out the 3.
y=2x

4 0

3 years ago

Translate the sentence into an inequality twice the difference of a number and 6 is at least -22 use the variable x for the unkn

almond37 [142]

Answer:

2(n - 6) >= 22

Step-by-step explanation:

2n - 12 >= 22

2n >= 22+12

2n >= 34

n >= 34/2

n >= 17

5 0

3 years ago

How many solutions does this linear system have? <br><br> Y=2/3x+2 <br><br> 6x-4y=-10

Vilka [71]

Answer:

It a simultaneous equation so the solution is 2

Step-by-step explanation:

5 0

3 years ago