Mathematics, 09.04.2020 15:55 phillipmccormick

Which statements are true? Check all that apply.

-The line that goes through the points (3,7) and (–2,7) is a horizontal line.

-The equation x = –8 is a vertical line that goes through the point (–8,3).

-The line that goes through the points (0,5) and (0,–7) is a vertical line.

-The points on a horizontal line have the same x-coordinate.

Which statements are true? Check all that apply.-The line that goes through the points (3,7) and (–2

Answers: 3

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Answer from: 19thomasar

-The line that goes through the points (3,7) and (–2,7) is a horizontal line.

-The equation x = –8 is a vertical line that goes through the point (–8,3).

-The line that goes through the points (0,5) and (0,–7) is a vertical line.

Step-by-step explanation:

-The line that goes through the points (3,7) and (–2,7) is a horizontal line.

The equation of this line is y = 7

-The equation x = –8 is a vertical line that goes through the point (–8,3).

The equation of this line is x = -8

-The line that goes through the points (0,5) and (0,–7) is a vertical line.

The equation of this line is x = 0

-The points on a horizontal line have the same x-coordinate.

Same x-coordinate is on a vertical line, not horizontal

Answer from: krandall232

A, B, and C

Step-by-step explanation:

A) We can see if this is a horizontal line if its slope is 0. Slope is change in y divided by change in x, so: slope = $\frac{7-7}{3-(-2)} =\frac{0}{5} =0$ . Thus, this is a horizontal line and the statement is correct.

B) Any equation of the form x = k, where k is a constant, will always be a straight line. Let's see if it goes through (-8, 3) by plugging in the values of -8 in for x and 3 in for y in the equation.

Clearly, we don't have a y, so we just put in the -8 for the x: -8 = -8. Since this is a true statement, we know that x = -8 does go through (-8, 3). So, this is a true statement.

C) We can see if this is a vertical line if its slope is undefined (for example, if the denominator is 0, it's undefined). Slope = $\frac{5-(-7)}{0-0} =\frac{12}{0}$ = undefined. So, this is a vertical line and the statement is true.

D) As a basic fact, any point on a horizontal line will have the same y coordinate. However, their x coordinates may vary. Thus, the statement is false.

So, the answers are A, B, and C.

Hope this helps!

Answer from: Quest

answer: h

step-by-step explanation:

Answer from: Quest

$w\geq 14$

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

$2l+2w\geq 40$

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

$2\times 6+2w\geq 40$

now, we can solve for w

$12+2w\geq 40$

subtract both sides by 12

$12+2w-12\geq 40-12$

$2w\geq 28$

divide both sides by 2

and we get

$w\geq 14$

so,

the smallest possible measurement of the width is 14 feet

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