Solve each equation by taking square roots

-3x^2=-105

Answers

Answer 1

Answer: $-3x^2=-105$

$x^2= (-105)/(-3)$ $Divide \ both \ sides \ by \ -3$

$x^2= (105)/(3)$

$x^2=35$

$x=+ √(35)$ $Take \ the \ square \ root \ of \ both \ sides$

$x = 5.916$ $Solution$

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║║║║The length of a rectangle is 5 inches more than its width, x. The area of a rectangle can be represented by the equation x 2 + 5x = 300. What are the measures of the width and the length?║║║

Answers

so given l = x+5 and w = x

area represented by equation x^2 +5x = 300

x^2 +5x -300 =0

(x+20)(x-15)=0

x+20 =0
x = -20

x-15=0
x=15

so from these result the width of rectangle equal 15 inches and the length of rectangle equal 20 inches

PLEASE HELP!!
Find the area of the triangle below

Answers

Step-by-step explanation:

I got 47.5 for this, not sure if its right though.

Which of the following equations shows "twice a number is eighteen?"

Answers

I don't see the answer choices, but 2 equations you could use to get eighteen would be:

9 × 2 = 18

9 + 9 = 18

See? Twice a number is eighteen. You can use any of my equations to get eighteen

↑ ↑ ↑ Hope this helps! :D

Another one this one has two anwser first up is A

Answers

Answer:

g = 6

Step-by-step explanation:

3.8g + 8 = 1.8g + 20

Subtract 1.8g from both sides;

2g + 8 = 20

Subtract 8 from both sides;

2g = 12

Divide both sides by 2;

g = 6

You can check if the value of g is correct by plugging in the value of g to the equation. If your check does not it doesn't mean your answer is not correct because sometimes it can be a no solution equation which means that there is no solution to the equation.

Check:

3.8(6) + 8 = 1.8(6) + 20

22.8 + 8 = 10.8 + 20

30.8 = 30.8

It means its correct

A painter leans a 20-ft ladder against a building. The base of the ladder is 12 ft from the building. To the nearest foot, how high on the building does the ladder reach?