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monitta
3 years ago
13

Enter the correct answer in the box. Simplify this expression.

Mathematics
1 answer:
kap26 [50]3 years ago
7 0

Answer:

4^6

Step-by-step explanation:

4^9 \div 4^3

Apply the law of exponents.

=4^{9-3}

=4^6

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Is 15 ft, 36 ft, 39 ft a right triangle?
Nina [5.8K]
Use the pythagoream theorem to check. a^2+b^2=c^2

a=15 b=36 c= 39

225+1296=1521

The equation is true so it is a right triangle.
7 0
3 years ago
Read 2 more answers
Please help with question 2, I’m too tired to think right now, and it’s for my little sister and it’s due tomorrow! Ignore the n
marishachu [46]

Answer:

2000 L

Step-by-step explanation:

There are 1250 L of water in a tank at present. If the tank is 0.625 full, what is the capacity of the tank?

The simple solution is:

1250 L ÷ 0.625 = 2000 L

The algebraic solution is:

Let <em>c</em> equal the capacity of the tank.

Therefore, <em>c</em> × 0.625 = 1250.

Divide both sides by 0.625:

<em>c</em> × 0.625 ÷ 0.625 = 1250 ÷ 0.625

And simplify:

<em>c</em> = 1250 ÷ 0.625

<em>c</em> = 2000

5 0
3 years ago
An isosceles right-angled triangle is shown.
Bad White [126]

Answer:

\boxed{x=4}

Step-by-step explanation:

Area of triangle = 0.5 × Base × Height

→ Substitute in the values

200 = 0.5 × 5x × 5x

→ Simplify

200 = 12.5x²

→ Divide both sides by 12.5

16 = x²

→ Square root both sides

4 = x ∴ x = 4

6 0
3 years ago
Simplify (6x2 + 11x − 3) + (2x2 − 17x − 4).
d1i1m1o1n [39]

Answer:

B. 8x^2-6x-7

Step-by-step explanation:

All you have to do is combine the like terms.

Like terms are the terms that have the same variable and same exponent.

The like terms in this equation are 6x^2 and 2x^2, 11x and -17x, and -3 and -4.

When you add 6x^2 and 2x^2, you get 8x^2

When you add 11x and -17x, you get -6x

When you add -3 and -4, you get -7.

Putting these all in order, your answer is

8x^2 - 6x - 7

8 0
3 years ago
Factorise by grouping: x² - 5x + 2x - 10
IrinaK [193]

Answer:

(x + 2)(x - 5)

Step-by-step explanation:

Here are the steps:

x^2-5x+2x-10\\(x^2-5x)+(2x-10)\\x(x-5) + 2(x-5)\\(x + 2)(x-5)

4 0
3 years ago
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