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3 years ago

A line has a rise of 6 and a slope of 1/20. What is the run? 30 90 120

Mathematics

1 answer:

MrRissso [65]3 years ago

6 0

Answer:

120

Step-by-step explanation:

6/120 = 1/6

6 divided by what would simplify to 1/6?

120

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Show how to find the roots (zeros) of the function in the picture below.

Vikki [24]

Answer:

The roots (zeros) of the function are:

$x=5,\:x=-8$

Step-by-step explanation:

Given the function

$f\left(x\right)=x^2+3x-40$

substitute f(x) = 0 to determine the zeros of the function

$0=x^2+3x-40$

First break the expression x² + 3x - 40 into groups

x² + 3x - 40 = (x² - 5x) + (8x - 40)

Factor out x from x² - 5x: x(x - 5)

Factor out 8 from 8x - 40: 8(x - 5)

Thus, the expression becomes

$0=x\left(x-5\right)+8\left(x-5\right)$

switch the sides

$x\left(x-5\right)+8\left(x-5\right)=0$

Factor out common term x - 5

$(x - 5) (x + 8) = 0$

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

$x-5=0\quad \mathrm{or}\quad \:x+8=0$

Solve x - 5 = 0

x - 5 = 0

adding 5 to both sides

x - 5 + 5 = 0 + 5

x = 5

solve x + 8 = 0

x + 8 = 0

subtracting 8 from both sides

x + 8 - 8 = 0 - 8

x = -8

Therefore, the roots (zeros) of the function are:

$x=5,\:x=-8$

6 0

3 years ago

The parking spaces in a city lot were created by painting rows of parallel line segments, then painting a line that cuts through

Svetach [21]

Answer:

65°

Step-by-step explanation:

The consecutive interior angles theorem states that if two parallel lines are cut by a transversal line then the resulting pair of consecutive angles formed are supplementary (that is they add up to 180°).

Given that the painting rows are parallel to each other and a painted line (transversal) cut the parallel lines forming consecutive interior angles m∠1 and m∠2. Therefore:

m∠1 + m∠2 = 180°

m∠1 + 115 = 180

m∠1 = 180 - 115

m∠1 = 65°

3 0

3 years ago

Read 2 more answers

What is the least common denominator of 3, x, and x?

sergiy2304 [10]

Answer:

Step-by-step explanation:

LCD

you have 1 x not 2.

Suppose you have

y/3 + 3y/x + 7y / x

Unless there is something different about the question, you need only 1 x. The other one get's absorbed.

Answer: LCM = 3 * x

7 0

2 years ago

PLEASE HURRY WILL GIVE BRAINLIEST if you show your work!

MAVERICK [17]

Answer:

(x² + 7x + 6) ÷ (x² + 2x + 1)

This should be in the form of a fraction, I just don't know how to format it that way on here.

Step-by-step explanation:

Since your denominators are equal on both fractions, you just need to subtract your numerators.

3x² + 9x + 12 - (2x² + 2x + 6)

When there is a - in front of an expression in parenthesis, you should change the sign of each term in the expression of the numerator being subtracted.

So this:

2x² + 2x + 6

Will become this:

2x² - 2x - 6

This is how it will look:

3x² + 9x + 12 - 2x² - 2x - 6

Now all you have to do is collect the like terms.

3x² and -2x² are like terms so you will add them together: 3x² + (-2x²) = 3x² - 2x² = x²

This is how your numerator should look so far:

x² + 9x + 12 - 2x - 6

Now we move on to the next like terms.

9x and -2x are like terms so we add them together: 9x + (-2x) = 9x - 2x = 7x

This is how your numerator should look so far:

x² + 7x + 12 - 6

Now we move on to the last set of like terms.

12 and -6 are like terms so we add them together: 12 + (-6) = 12 - 6 = 6

This is how your numerator should be now:

x² + 7x + 6

Now all you have to do is put your numerator on top of your denominator which is the same as in the start of your equation (x² + 2x + 1).

You are done! I hope this was clear and you understand :)

5 0

3 years ago

Read 2 more answers

What is a rule for the sequence

Anna11 [10]

Sequence are sets of numbers that follow a pattern or a rule.

3 0

3 years ago