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4 years ago

Similar Triangles

Mathematics

1 answer:

GenaCL600 [577]4 years ago

5 0

Answer:

A. Corresponding angles are equal AND corresponding sides are proportional

Step-by-step explanation:

I calculated it logically

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Eight expressions are given below. Determine whether each expression is equivalent to 5^10 or not equivalent to 5^10.

KengaRu [80]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the 8 expressions are not given.

The general explanation is as follows

As complex as an expression may seem, you have to simplify each expression until it cannot be further simplified.

Then you categorize each result, depending on if it equals $5^{10}$ or not

Take for instance:

$5^5 * 5^5$

Using law of indices:

$5^5 * 5^5 = 5^{5+5$

$5^5 * 5^5 = 5^{10$ ---- equivalent

$\frac{5^5 + 5^5}{2 * 5^{-5}}$

Factorize the numerator

$\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5(1 + 1)}{2 * 5^{-5}}$

$\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5 * 2}{2 * 5^{-5}}$

Cancel out 2

$\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5}{5^{-5}}$

Apply law of indices

$\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5--5}$

$\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5+5}$

$\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{10$ ---equivalent

$125 * 78125$

Express as exponent

$125 * 78125 = 5^3 * 5^7$

Apply law of indices

$125 * 78125 = 5^{3+7$

$125 * 78125 = 5^{10$ ---- equivalent

$5^3 + 5^7$

Solve exponents

$5^3 + 5^7 = 125 + 78125$

$5^3 + 5^7 = 78250$ ---- not equivalent

4 0

3 years ago

Select the correct answer.

nignag [31]

I think it’s B. 4 because 65 divides by 15

3 0

3 years ago

Read 2 more answers

Convert to a form that reveals the zeros

Olin [163]

Answer:

$y=(x-3)(x-6)$

Step-by-step explanation:

Factor the expression to give you the result, or you can use the quadratic formula and notice you get 3 and 6.

5 0

4 years ago

If f(x)=-4x^2-6x-1 and g(x)=-x^2-5x+3, find (f+g)(x)

Nookie1986 [14]

Answer:

f(x)=-4x^2-6x-1

g(x)=-x^2-5x+3

(f+g)(x) = (-4x^2-6x-1) + (-x^2-5x+3)

-4x^2 - 6x - 1 -x^2 - 5x + 3

= -5x^2 - 11x + 2

Step-by-step explanation:

7 0

3 years ago

What is the scale factor of this dilation?

Mandarinka [93]

Answer:

2/3

Step-by-step explanation:

8 0

3 years ago