What are the values of x in the equasion x(x-6)=4(x+6)

Answers

Answer 1
Answer: x(x - 6) = 4(x + 6)
x^2 - 6x = 4x + 24
x^2 - 6x - 4x - 24 = 0
x^2 - 10x - 24 = 0
(x - 12)(x + 2) = 0
x = -2, 12

The answer is: x = -2 and x = 12.
Answer 2
Answer: The answer is 2(8-6)=4(-4+6)

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What is the length of the hypotenuse of a right triangle whose legs have lengths of 5 and 12?
Please guys can you help on this word problem I'm stuck on it
Rewrite the following linear equation in slope-intercept form. Write your answer with no spaces. y+2=4(x-3)

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Answers

Answer:

  Solution 1

Step-by-step explanation:

Alternate interior angles are congruent (not supplementary), so the equation used in Solution 1 is the correct one.

Solution 2 incorrectly assumes that the given angles are supplementary. They would be if they were "same-side" interior angles, but they are not.

Answer:

Solution 2 is incorrect

Step-by-step explanation:

Alternate interior angles should equal each other if the lines are parallel

A monster truck tire will travel will travel 12.56 ft in one revolution. What is the radius of the tire?

Answers

If it travels 12.56 ft in one revolution, then the circumference of the tire is 12.56 ft.
Circumference = 2 x π x radius
12.56=2 x 3.14 x radius
radius x 6.28=12.56

Radius= 2 ft

Hope this helps :)
1 revolution
the part that touches the ground makes 1 full circle
therefor 12.56 is the cirvmerncere
circumfrence=2pir
12.56=circumfrence
12.56=2pir
divide both sides by 2
6.28=pir
aprox pi to 3.14 and divide both sides by 3.14
2=r

radius=2 feet

Amy types at an average speed of 38 words per minute. She has already typed 1,450 words of her final paper, which will be more than 4,000 words. Which inequality can be used to solve for x, the number of minutes it will take Amy to finish typing her paper? A. 38x − 1,450 > 76 B. 38(x + 1,450) > 4,000 C. 38x > 4,000 D. 38x + 1,450 > 4,000

Answers

Answer:

D. 38x + 1,450 > 4,000

Step-by-step explanation:

It has to be greater than 4,000 so A makes no sense

The parentheses are in the wrong place completely changing the meaning for B

C disregards the info we have about how she's already typed 1,450 words

The answer has to be D

Step-by-step explanation:

Tito bought a baseball card for $24.00 and sold it for $37.00. what is the percent of increase rounded to the nearest tenth? a. 35.1%
b. 54.2%
c. 64.9%
d. 54.1%

Answers

Answer: Option 'b' is correct.

Step-by-step explanation:

Since we have given that

Cost price of a baseball card = $24

Selling price of a baseball card = $37

So, Profit would be

37-24=\$13

So, Profit % would be

(13)/(24)* 100\n\n=54.16\%\n\n\approx 54.2\%

Hence, Option 'b' is correct.

Answer:

The answer is B. 54.2% hopefully this helps!

The slope of the line whose equation is 5 x - 3 y = 4 is
5/3
4/5
-3/5

Answers

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have:

5x-3y=4\qquad|\text{subtract 5x from both sides}\n\n-3y=-5x+4\qquad|\text{divide both sides by (-3)}\n\ny=(5)/(3)x-(4)/(3)

Answer: 5/3

Write down the inequality described by "half of x is no more than three", and solve for x.

Answers

Answer:

Inequality: (x)/(2) \leq 3

Solved: x\leq 6

Step-by-step explanation:

(x)/(2) \leq 3

x\leq 6