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4 years ago

3x to the second power -8 = 40? what is x?

1 answer:

8 0

3x^2 - 8= 40
add 8 to both sides
3x^2= 48
divide both sides by 3
x^2= 16
take the square root of x and 16
x= 4

ANSWER: x=4

Hope this helps! :)

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Factorise (2t-7)²-(5t-4)² with working pls

sertanlavr [38]

Answer:

33+12t−21t^2

Step-by-step explanation:

(2t-7)²-(5t-4)²

Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (2t-7)².

4t^2−28t+49−(5t-4)²

Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (5t-4)².

4t^2−28t+49−(25t^2−40t+16)

To find the opposite of 25t^2

−40t+16, find the opposite of each term.

4t^2−28t+49−25t^2−40t+16

Combine 4t^2 and −25t^2 to get −21t^2.

−21t^2−28t+49+40t−16

Combine −28t and 40t to get 12t.

−21t^2+12t+49−16

Subtract 16 from 49 to get 33.

−21t^2+12t+33

Swap terms to the left side.

33+12t−21t^2

I hope this helped!

5 0

3 years ago

The data in which table represents a linear function that has a slope of zero? A 2-column table with 5 rows. Column 1 is labeled

lisov135 [29]

Answer: A 2-column table with 5 rows. Column 1 is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1. Column 2 is labeled y with entries 5, 5, 5, 5, 5.

8 0

3 years ago

The next number in the series 13, 18, 16, 21, 19, is: 22 23 24 25 26 ...?

Lesechka [4]

I think the best option is 24.

7 0

3 years ago

The expression P(4, 3) is equal to: -3! -4! - 1

nexus9112 [7]

Answer:

$P(4,3) = 4!$

Step-by-step explanation:

Given

P(4,3)

Required

Solve

Using permutation formula;

$P(n,r) = \frac{n!}{(n-r)!}$

This implies that

$P(4,3) = \frac{4!}{(4-3)!}$

$P(4,3) = \frac{4!}{(1)!}$

$P(4,3) = \frac{4!}{1!}$

$P(4,3) = \frac{4!}{1}$

$P(4,3) = 4!$

6 0

3 years ago

A ladder is leaning up against a house. The ladder is 20 feet long and the base of the ladder is 12 feet away from the house. Ho

MrRa [10]

Answer:

16 feet

Step-by-step explanation:

The length of the ladder=20 feet

Distance from the base of the ladder to the house = 12 feet

You will notice that a wall is vertical and the ladder makes an angle with the horizontal ground(making it the hypotenuse). This is a right triangle problem.

To find the how far up the house can the ladder can reach, we simply find the third side of the right triangle.

From Pythagoras theorem

$Hyp^2=Opp^2+Adj^2\\20^2=12^2+Adj^2\\Adj^2=400-144\\Adj^2=256\\Adj=\sqrt{256}=16$

The third side of the right triangle is 16. Therefore the ladder leans 16 feet from the ground.

8 0

4 years ago

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