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2 years ago

Which expression is equivalent to 4^-6 x 4^-2

Mathematics

1 answer:

stellarik [79]2 years ago

6 0

Answer:

4^-8

Step-by-step explanation:

When multiplying two exponents with the same base, in this case, 4, you need to add the two powers (-6 + -2), to get -8.

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What is the distance between (−5,−6) and (−3,−8)?

Soloha48 [4]

It has a slope of -2/2 meaning it goes down and over 2. So the antis A

3 0

2 years ago

The area of a square garden is 200 m^2. How long is the diagonal?

Sladkaya [172]

Answer:

b. 20 m

Step-by-step explanation:

Let A represent the area

Let d represent the diagonal

then

$A=\frac{d*d}{2} = \frac{d^{2} }{2}$

Then

d² = 2A

then

$d = \sqrt{2A} =\sqrt{2*200} =\sqrt{400} = 20$

8 0

3 years ago

Proportions, assist me please!

Anit [1.1K]

Step-by-step explanation:

$w = \frac{1}{2} {x}^{2} y \\ (2)w = \frac{1}{2} {x}^{2} y(2) \\ 2w = {x}^{2} y \\ \frac{2w}{ {x}^{2} } = \frac{{x}^{2} y}{ {x}^{2} } \\ \frac{2w}{ {x}^{2} } = y$

<h3>Answer:</h3>

$y = \frac{2x}{ {x}^{2} } \\$

6 0

3 years ago

PLEASE HELP I AM DESPERATE I WILL GIVE THANKS, 5 STARS, AND THE BRAINLIEST!!!

slava [35]

Answer:

-8

Step-by-step explanation:

p(x) = - 2x - 3, x ≤ 0 You would use this equation for finding p(0), since 0 is equal to 0.

p(x) = - 2x - 3, x ≤ 0 ← You can ignore the x≤0 part.

p(0) = - 2(0) - 3 Input the value 0 as x.

p(0) = 0 - 3 Simplify

p(0) = -3

Next,

p(x) = -x² - 4, x > 0 You would use this equation for finding p(1), since 1 is greater than 0.

p(x) = -x² - 4, x > 0 ← You can ignore the x>0 part.

p(1) = -(1)² - 4 Input the value 1 as x. 1² is equal to 1 times negative is -1.

p(1) = -1 - 4 Simplify

p(1) = -5

Then,

p(x) = - 2x - 3, x ≤ 0 You would use this equation for finding p(-2), since -2 is less than 0.

p(x) = - 2x - 3, x ≤ 0 ← You can ignore the x ≤ 0 part.

p(-2) = - 2(-2) - 3 Input the value -2 as x. A negative times a negative is

p(-2) = 4 - 3 a positive.

p(-2) = 1 Simplify

Finally, you have to fine the value of $\frac{p(0)+p(1)}{p(-2)}$

$\frac{p(0)+p(1)}{p(-2)}$

$\frac{(-3) + (-5)}{(1)}$ Input the values of p(0), p(1), and p(-2).

$\frac{-8}{1}$ Simplify

-8

The answer is -8.

7 0

3 years ago

At a concert 2/5 of the people were men, there were 3 times as many women as children. If there were 45 more men than children,

Bogdan [553]

This involves creating some equations.

First, these are what the letters I used stand for:

c = children

w = women

m = men

x = total population

Then, we must make an equation for each statement.

2/5x = m (2/5 of the people are men)

3c = w (there are 3 times as many women than children)

45+c = m (there are 45 more men than children)

Now, let's start plugging in our numbers:

x = all the men, women, and children

2/5(m+w+c) = m

2/5 (45+c +3c + c) = m [Now simplify]

2/5 (45 + 5x) = m [Now Distribute]

2/5(45) + (2/5)(5x) = m

2c + 18 = m [Above we stated that there were the same amount as men as c +45]

2c + 18 = 45 +c [Now set equal to c]

2c (-c) +18 = 45 +c (-c)

c+18 (-18) = 45 (-18)

c = 27

Now that we know that there was 27 children, we can plug 27 in for c in the other equations.

MEN = 27 + 45

WOMEN = 3(27)

CHILDREN = 27

Now add those three answers to find your total!

8 0

2 years ago