All categories

3 years ago

The graph represents one side of the roof of a building. The slope of the line is

Mathematics

2 answers:

Ray Of Light [21]3 years ago

7 0

Answer:

The slope of the line is 7/2.

Step-by-step explanation:

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$ , then the slope of the line is

$m=\frac{y_2-y_1}{x_2-x_1}$

From the given figure it is clear that the line passes though two points (0,0) and (4,14).

Using the above formula, the slope of the line is

$m=\frac{14-0}{4-0}$

$m=\frac{14}{4}$

$m=\frac{7}{2}$

Therefore the slope of the line is 7/2.

horsena [70]3 years ago

3 0

Answer:

7/2

Step-by-step explanation:

yuh

You might be interested in

Prove that the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus.

Stella [2.4K]

Answer:

B. See explanation

Step-by-step explanation:

Use the distance formula between two points $(x_1,y_1)$ and $(x_2,y_2):$

$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

Find the lengths of all sides of quadrilateral DEFG:

$DE=\sqrt{(-a-b-0)^2+(c-2c)^2}=\sqrt{(a+b)^2+c^2}\\ \\EF=\sqrt{(a+-b-0)^2+(c-2c)^2}=\sqrt{(a+b)^2+c^2}\\ \\FG=\sqrt{(a+b-0)^2+(c-0)^2}=\sqrt{(a+b)^2+c^2}\\ \\GD=\sqrt{(-a-b-0)^2+(c-0)^2}=\sqrt{(a+b)^2+c^2}\\ \\$

All sides are of the same length. Now fond the slopes of all sides:

$DE=\dfrac{2c-c}{0-(-a-b)}=\dfrac{c}{a+b}\\ \\EF=\dfrac{c-2c}{a+b-0}=-\dfrac{c}{a+b}\\ \\FG=\dfrac{c-0}{a+b-0}=\dfrac{c}{a+b}\\ \\GD=\dfrac{c-c}{-a-b-0}=-\dfrac{c}{a+b}\\ \\$

The slopes of the sides DE and FG are the same, so these sides are parallel. The slopes of the sides EF and GD are the same, so these sides are parallel.

7 0

3 years ago

The property that says you can add or multiply numbers in any order , without changing the answer , is called the Property.

Advocard [28]

Distributive property I think

hope it helps you!! ;)

4 0

2 years ago

Sarah drives at a speed of 70 miles per hour how long will it take to drive 385 miles?

Nostrana [21]

Answer:

5.5 hours

Step-by-step explanation:

For this problem, we have to divide.

$385$ ÷ $70 = 5.5$

Your answer would be 5.5

7 0

2 years ago

What is the contrapositive of the conditional statement? If two variables are directly proportional, then their graph is a linea

sveticcg [70]

To find the contrapositive, you negate the hypothesis and the conclusion of the statement, and then switch their positions in the statement such that the conclusion becomes the hypothesis and vice versa:

If two variables are directly proportional, then their graph is a linear function.

If two variables are not directly protional, then their graph is not a linear function.

6 0

3 years ago

Use the remainder theorem to determine whether x=-4 is a solution of x^6+5x^5+5^4+5^3+2x^2-10x-8.

kykrilka [37]

Hello haohaoxNienie!

$\huge \boxed{\mathbb{QUESTION} \downarrow}$