All categories

1 year ago

Which of the following is the product of the rational expressions shown

Mathematics

1 answer:

Alexus [3.1K]1 year ago

6 0

Answer: x = 0; x=10

Step-by-step explanation:

$\frac{x+2}{x-4} *\frac{3x}{x+4}\\ \\x+2(x+4) = x-4(3x)\\x^{2} +2x+ 4x + 8 = 3x^{2} -12x\\2x+4x+12x =3x^{2} - x^{2} \\20x= 2x^{2} \\10x = x^2\\x=0\\x=10$

Hope this helps!

You might be interested in

One-third of a number t is equal to 7. Write the word sentence as an equation then solve

Artemon [7]

Answer:

Step-by-step explanation:

One third of the number can be represented by 1/3t.

To make an equation, set this equal to 7.

1/3t = 7

Then, solve for t by dividing each side by 1/3:

1/3t = 7

t = 21

So, the number is 21.

6 0

2 years ago

Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. Which is the slant h

Nikitich [7]

Answer: 5 inches

Step-by-step explanation:

Given: Volume of clay = 48 cubic inches

If we make a solid square right pyramid with a base edge a= 6 inches.

Then its base area = $a^2=6^2=36\ inches^2$

we know that volume of square right pyramid= $\frac{1}{3}\times\ a^2h$

Therefore, volume of square right pyramid made by all of clay= $\frac{1}{3}\times\ a^2h$ =48 cubic inches

$\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}$

Now, slant height $l=\sqrt{(\frac{a}{2})^2+h^2}$

$\\\Rightarrow\ l=\sqrt{3^2+4^2}\\\Rightarrow\ l=\sqrt{9+16}\\\rightarrow\ l=\sqrt{25}\\\Rightarrow\ l=5$

The slant height of the pyramid if Helen uses all the clay=5 inches

5 0

2 years ago

Read 2 more answers

A falcon to fly 322 km/h how many meters per hour on the falcon fly

boyakko [2]

1 km = 1,000 m....so 322km = 322,000 m
so the falcon can fly 322,000 m per hr

6 0

2 years ago

What expression is equivalent to 14 − 17 ?

DENIUS [597]

answer:

Step-by-step explanation:

4 0

3 years ago

What is the BEST deal on sugar?

Lana71 [14]

Answer:

Step-by-step explanation:

well if you multiply each of tjem you would only sabe money on c the other choices would cause you to lose money so its c

8 0

3 years ago