Mark for review (Will be highlighted on the review page) 1. Solve this equation: 80 = 3y + 2y + 4 + 1.

1 answer:

7 0

First combine the like terms 3y + 2y to get 5y. Then combine 4 + 1 to get 5. Your equation will now be 80 = 5y + 5. To solve for y, 5 needs to be subtracted from both sides of the equation leaving 75 = 5y. Final step to solving for y, 5 needs to be divided from each side of the equation leaving the final answer of
15 = y.

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3√12•√6<br><br>please show a step by step explanation

Oduvanchick [21]

Answer: $18\sqrt{2}\\\\$

This is the same as saying 18*sqrt(2) or you could say 18√2

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Explanation:

We'll be using this square root rule: $\sqrt{A}*\sqrt{B} = \sqrt{A*B}$

So we could have this as our steps:

$3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\$

Therefore, $3\sqrt{12}*\sqrt{6} = 18\sqrt{2}$

The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.

5 0

3 years ago

The first three steps in determining the solution set of the system of equations algebraically are shown.

jolli1 [7]

Since both are equivalent to y, the equations must be equivalent.
x^2-x-3= -3x+5
x^2+2x-8=0

(x+4)(x-2)=0
x=-4, x=2

Plug the values of x in to either equation
y=-3(-4)+5
y= 12+5
y=17

y= -3(2)+5
y=-6+5
y=-1

Final answer: (-4,17) and (2,-1)

8 0

3 years ago

Read 2 more answers

In right triangle PQR, tanP =sqrt 3/2. Find the length of the hypotenuse of triangle PQR.

Aleksandr [31]

$\sqrt{ \sqrt{3}^2+2^2} = \sqrt{3+4} = \sqrt{7}$