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3 years ago

Can you please help me factor these 8 problems completely

Mathematics

1 answer:

krek1111 [17]3 years ago

5 0

21. 5(16v^2 -25)

5(4v + 5)(4v-5)

22. (3y + 5)(3y-5)

23. (3m - 1)^2

24. 4(9n^2 - 12n + 4)

4(3n - 2)^2

25. Doesn't look like there's much to factor... 3(3k^2 - 10k)

26. (n - 9)(n - 8)

27. (3a - 8)(a + 7)

28. 5(7r+5)(r+3)

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Find the value of x. Round to the nearest tenth.<br> PLEASE HELP ME!!

Mekhanik [1.2K]

Answer:

Step-by-step explanation:

Use the Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have

$leg=x,\ leg=15.6cm:2=7.8cm,\ hypotenuse=8.8cm$

Substitute:

$x^2+7.8^2=8.8^2$

$x^2+60.84=77.44$ <em>subtract 60.84 from both sides</em>

$x^2=16.6\to x=\sqrt{16.6}\\\\x\approx4.1\ cm$

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4 years ago

A cylinder has a height of 14 centimeters and a radius of 17 centimeters. What is its volume? Use ≈ 3.14 and round your answer

9966 [12]

<h2><u>Answer</u></h2>

Volume = $\sf{\pi r^2 h}$

$= \sf{3.14 \times {17}^{2} \times 14 } = \sf{12704.45~cm^3}$

6 0

3 years ago

If you dropped a ball while standing on the surface of Katar, at what rate would it accelerate toward the ground?

alexdok [17]

Answer:

Assuming Katar is on earth; 9.8m/s²

Step-by-step explanation:

9.8m/s² is the standard g at the earth's surface.

3 0

3 years ago

Help me plss ty in advance:))

sukhopar [10]

Answer:

Step-by-step explanation:

A graph which uses horizontal or vertical bars with no gaps to represent data is called bar graph.

Data plotted against the frequency in a histogram is class interval.

The data plotted against the frequency in an ogive is cumulative frequency.

A score of 50 under the column > c.f. with the boundaries 23.5 - 28.5 means 50 students got a score greater than 23.5.

Mean = 2(2) + 3 + 4 + 7(3) + 10 + 11 + 2(12) / 11

Mean = 4 + 7 + 21 + 21 + 24 / 11

Mean = 77/11

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2 years ago

the product of two consecutive positive even integers is 14 more than their sum. Set up an equation that can

alexandr1967 [171]

Required equation to determine two consecutive even number is $x^{2}-16=0$ and required numbers are 4 and 6.

<u>Solution:</u>

Given that product of two consecutive positive integer is 14 more that their sum. Need to create the equation and solve it to get two numbers.

Let’s assume first even number be represented by x.

So second consecutive even number will be $x + 2$

Sum of two consecutive number = $(x) + (x + 2)$

$\Rightarrow$ Sum of two consecutive number = $2x + 2$

Product of two consecutive number = $(x) \times(x+2)=x^{2}+2 x$

Product of two consecutive number is 14 more that sum of two consecutive numbers, so if we subtract 14 from product, we will get sum.

$\begin{array}{l}{\Rightarrow\left(x^{2}+2 x\right)-14=2 x+2} \\\\ {=>x^{2}+2 x-2 x-14-2=0} \\\\ {\Rightarrow x^{2}-16=0} \\\\ {\Rightarrow x^{2}-4^{2}=0} \\\\ {\Rightarrow x^{2}=4^{2}} \\\\ {\Rightarrow x=4}\end{array}$

One even number = $x=4$

Other even number = $x + 2 = 4 + 2 = 6$

Hence required equation to determine two consecutive even number is $x^2 -16 = 0$ and required numbers are 4 and 6.

8 0

4 years ago