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2 years ago

Help help help hemp grko

Mathematics

1 answer:

Yuliya22 [10]2 years ago

5 0

Answer:

Step-by-step explanation:

x-4=2(x+8)/5

let's do my favorite strategy: distributive property!

x-4=(2x+16)/5

Now we can simplify.

x-4=(2/5)x+16/5

Let's solve for x!

Subtract 2/5 from both sides

3/5)x=36/5

Now multiply both sides by 5/3, the reciprocal.

You would get 12 as x!

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What is the GCF of 8x^3y^2+20x^2y^4?

DochEvi [55]

Answer:

B) 4x^2y^2

Step-by-step explanation:

8x^3y^2+20x^2y^4

4(2x^3y^2+5x^2y^4)

4x^2(2xy^2+5y^4)

4x^2y^2(2x+5y^2)

So the answer is B

5 0

3 years ago

What is the Slope of the line

vampirchik [111]

Answer:

$m=\frac{-3}{4}$

Step-by-step explanation:

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Simply plug in 2 coordinates into the slope formula to find slope m:

$m=\frac{-4-(-1)}{5-1}$

$m=\frac{-4+1}{4}$

$m=\frac{-3}{4}$

5 0

3 years ago

A cone has a volume of 108 pi and a base diameter of 12. What is the height of the cone?

serious [3.7K]

Answer:

h = 9 units of length

Step-by-step explanation:

Volume of a circular right cone is:

V(c) = (1/3)*Area of the circular base * h

Where h is the height of the cone, then

V(c) = (1/3) * π * r² * h

And we have that V(c) = 108*π

Then:

108 * π = (1/3) * π * r² * h (1)

We know diameter of the circular base is 12 units, according to that

r = d/2 ⇒ r = 12/2 r = 6 units

Then:

108 * π [ cubic units ] = (1/3) * π * (6)² * h [square units] [ units of length]

When simplifying we have to take into account that in order to keep last equation h needs to have units of length

Therefore:

108 = (1/3) * 36 * h

h = ( 108* 3 )/ 36

h = 9 units of length

7 0

4 years ago

What is an equation of the line that passes through the points (3,4) and (-4, -3)?

azamat

Answer:

y=x+1

Step-by-step explanation:

1) Find the slope

m=-3-4/-4-3

m=-7/-7

m=1

2) Use y=mx+c

by using the point (3,4)

4=1(3)+c

4=3+c

c=1

3) The answer

y=x+1

8 0

2 years ago

I’m having trouble expressing my answer in algebraic notation

andre [41]

$\bf -2x-4\le -4x+4\implies -2x\underline{+4x}-4 \le -4x\underline{+4x}+4
\\\\\\
2x-4\le 4\implies 2x-4\underline{+4}\le 4\underline{+4}\implies 2x\le 8
\\\\\\
x\le \cfrac{8}{2}\implies x\le 4$

8 0

3 years ago