Explain how you got the answer please

Mathematics

2 answers:

Juliette [100K]3 years ago

7 0

-2x + 12 = 2y
2x + 2y = 12
divide the equation by 2
x + y = 6

answer
D. 6

kykrilka [37]3 years ago

4 0

-2x + 12 = 2y

Add 2x on both sides,

12 = 2y + 2x

Divide by 2 on both sides,

6 = y + x -> x + y = 6

The answer is D.

You might be interested in

Can anyone please help me with this ?

djverab [1.8K]

Answer:

The distance from point A to the top of the building is 5 $\sqrt{2}$ feet

The Height of the Skyscraper is 5 feet

Step-by-step explanation:

Given

Let Top point of building be point C

Also Let Base of the building be point B

Distance from point A to base B of the building AB= 5 feet

∴ It makes a Right angle triangle

Also ∠ACB = 45°

Also tan 45° = 1

Now tan ∠ACB = $\frac{AB}{BC}$

∴ AB= BC =5 feet

The Height of the Skyscraper is 5 feet

Now Triangle ABC is right angle triangle with right angled at B

So by Pythagoras theorem

AC= $\sqrt{AB^2+BC^2}=\sqrt{5^2+5^2} =\sqrt{50} =\sqrt{25\times2} =\sqrt{5^2\times2}=5\sqrt{2}$

The distance from point A to the top of the building is 5 $\sqrt{2}$ feet

5 0

3 years ago

Read 2 more answers

Yolanda purchased a prepaid phone card for $20. Long distance calls cost 14 cents a minute using this card. Yolanda used her car

grigory [225]

42 minutes is the answer I think

6 0

3 years ago

Given g(x) = x² - 6x - 16, which statement is true?

inn [45]

The correct choice of this question with the given polynomial is "The zeros are -2 and 8, because the factors of g are (x + 2) and (x - 8)". (Correct choice: H)

<h3>How to analyze a second orden polynomial with constant coefficients</h3>

In this case we have a second order polynomial of the form x² - (r₁ + r₂) · x + r₁ · r₂, whose solution is (x - r₁) · (x - r₂) and where r₁ and r₂ are the roots of the polynomial, which can be real or complex numbers but never both according the fundamental theorem of algebra.

If we know that g(x) = x² - 6 · x - 16, then the factored form of the expression is g(x) = (x - 8) · (x + 2). Hence, the correct choice of this question with the given polynomial is "The zeros are -2 and 8, because the factors of g are (x + 2) and (x - 8)". $\blacksquare$