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barxatty [35]
3 years ago
11

81(p+q)^2-9p-9q Factor this

Mathematics
2 answers:
polet [3.4K]3 years ago
8 0

Answer:

9(p + q)(9p + 9q - 1)

Step-by-step explanation:

Given

81(p + q)² - 9p - 9q ← factor out - 9 from these 2 terms

= 81(p + q)² - 9(p + q) ← factor out 9(p + q) from each term

= 9(p + q)(9(p + q) - 1)

= 9(p + q)(9p + 9q - 1)

vredina [299]3 years ago
5 0

Step-by-step explanation:

May this help you!!!!!!!!!!

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If the gradient of the line joining the points [4,-9]and [-3,h]is -3, find the value of H
Scrat [10]

Answer:

<h2>h = 12</h2>

Step-by-step explanation:

To find the value of h use the formula for finding the slope of a line

That's

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

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

From the question

slope = - 3

The points are [4,-9] and [-3,h]

Substitute these values into the equation

We have

- 3 =  \frac{h + 9}{ - 3 - 4}

- 3 =  \frac{h + 9}{ - 7}

Cross multiply

That's

- 3(-7) = h + 9

21 = h + 9

h = 21 - 9

We have the final answer as

<h3>h = 12</h3>

Hope this helps you

3 0
4 years ago
Simplify the equation<br> 4(5y – 5) =
Rus_ich [418]

Answer:

20y - 20

Step-by-step explanation:

We multiply the first term and the second term in the parentheses by the 4. That means we do:

4(5y) + 4(-5)

And we simplify to get:

20y - 20

3 0
3 years ago
Read 2 more answers
What is the GCF of 10 and 21?
ki77a [65]
I believe the answer is one.
7 0
3 years ago
Read 2 more answers
24(height) cm 3.5(length) cm 13(width) cm find the surface area of the prism
Kitty [74]

Answer:

2395 cm²

Step-by-step explanation:

You need to find the area of each side of the prism.

the first side is 3.5x24 which equals 840. there are two of those sides since it's a prism, so multiply by 2. 840x2=1680.

the second side is 13x3.5 which is 45.5. multiply that by 2 for the other side, 45.5x2=91.

repeat for the third side: 24x13=312. 312x2=624.

add all of the sides up to get total surface area. 624+91+1680=2395. :)

5 0
3 years ago
Which statement is true?
ioda

Answer:

Step-by-step explanation:

x-intercept -> when y = 0

f(x) x-intercept -> (1 , 0)

g(x) x-intercept -> (-1 , 0)

y-intercept -> when x = 0

f(x) y-intercept -> (0 , -1)

g(x) y-intercept -> (0 , 1)

The x-intercept of f(x) is greater than the x-intercept of g(x)

The y-intercept of g(x) is greater than the y-intercept of f(x)

So from the options, the answer is D. The x-intercept of f(x) is greater than the x-intercept of g(x)

5 0
3 years ago
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