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2 years ago

Find the slope of the line that passes through (-2,1) (7,1)

Mathematics

2 answers:

marta [7]2 years ago

4 0

Answer:

Slope = 0

Step-by-step explanation:

Formula of finding the slope: (y₂ - y₁) / (x₂ - x₁)

=> So we can say:

(-2, 1) = (x₁, y₁)

(7, 1) = (x₂, y₂)

=> (1 - 1) / (7 - (-2))

=> (0) / (9)

=> 0

Slope of this line = 0

Hope this helps!

stich3 [128]2 years ago

3 0

Answer:

Step-by-step explanation:

To find the slope of a line, we uses y2-y1/x2-x1:

y2-y1/x2-x1

1-1/7+2

0/9

The slope of the line is 0.

<em>If u have any questions about what I did feel free to ask in the comments!</em>

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Leo has a lock box with a volume of 312 cubic inches. The box is 4 inches high and 13 inches long. What is the width of the box?

natima [27]

Answer:

6in

Step-by-step explanation:

Given data

Volume of the lockbox= 312 cubic inches

Height= 4in

Length= 13in

Width= ???

The expression for the volume of box is

V= L*W*H

substitute

312=13*W*4

312=52W

W= 312/52

W=6 in

Hence the width is 6in

6 0

3 years ago

On a map, 1/2 inch represents 10 actual miles. Two towns that are 4 1/2 inches apart on this map are how many actual miles apart

dusya [7]

The answer is E.90

1/2 inches = 10 miles
9(1/2) inches = 4 1/2 inches
9(10) miles = 90 miles

7 0

3 years ago

Find the length of each side of the triangle determined by the three points P1,P2, and P3. State whether the triangle is an isos

Tanya [424]

Answer:

The triangle is both an Isosceles triangle and a right triangle.

Step-by-step explanation:

Given the vertices of a triangle.

$P_{1} = (- 1, 4)$

$P_{2} = (6, 2)$ and

$P_{3} = (4, - 5)$

We find the distance between all the points to determine the length of each side of the triangle.

Distance between any two points, say, $(x_1, y_1)$ and $(x_2, y_2)$ is:

$\sqrt{\bigg ( \textbf{x}_{\textbf{2}} \hspace{1mm} \textbf{- x}_{\textbf{1}} \bigg )^{\textbf{2}} \textbf{+} \bigg( \textbf{y}_{\textbf{2}} \hspace{1mm} \textbf{- y}_{\textbf{1}} \bigg)^ {\textbf{2}}$

Length between $P_1$ and $P_{2}$ , (Side 1) :

$(x_1, y_1) = (- 1, 4)$ and

$(x_2, y_2) = (6, 2)$

Distance = $\sqrt{\bigg(6 - (-1) \bigg)^{2} \hspace{1mm} + \hspace{1mm} \bigg( 2 - 4 \bigg )^2$

$= \sqrt{7^2 + 2^2}$

$= \sqrt{49 + 4}$

$= \sqrt{\textbf{53}}$

Length of Side 1 = $\sqrt{\textbf{53}}$ units.

Distance between $P_1$ and $P_2$ , (Side 2):

$(x_1, y_1) = (-1, 4)$

$(x_2, y_2) = (4, - 5)$

Distance = $\sqrt{ \bigg( 4 + 1 \bigg)^2 \hspace{1mm} + \bigg( - 5 - 4 \bigg ) ^2$

$= \sqrt{ 25 + 81 }$

$= \sqrt{\textbf{106}}$

Length of Side 2 = $\sqrt{\textbf{106}}$ units.

Distance between $P_2$ and $P_3$ , Side 3 :

$(x_1, y_1) = (4, 5)$

$(x_2, y_2) = (6, 2)$

Distance = $\sqrt{ 2^2 \hspace{1mm} + \hspace{1mm} 7^2}$

$= \sqrt{49 + 4}$

$= \sqrt{\textbf{53}$

Length of Side 3 = $\sqrt{\textbf{53}}$ units.

Note that the length of Side 1 = Length of Side 3.

That means the triangle is Isosceles.

Also, For a triangle to be right angle triangle, using Pythagoras theorem we have:

(Side 1)² + (Side 3)² = (Side 2)²

$\bigg( \sqrt{53} \bigg )^2 \hspace{1mm} + \hspace{1mm} \bigg( \sqrt{53} \bigg)^2 \hspace{1mm} = \hspace{1mm} \bigg ( \sqrt{106} \bigg ) ^2$

i.e, 53 + 53 = 106

Hence, the triangle is a right - angled triangle as well.

7 0

3 years ago

What is the slope and y intercept?

natka813 [3]

The y intercept is -2.

4 0

3 years ago

8 less than the product of 6 and -16

Pachacha [2.7K]

Answer:

-104

Step-by-step explanation:

Step 1: Write out expression

6(-16) - 8

Step 2: Evaluate

-96 - 8

-104

3 0

3 years ago

Find the slope of the line that passes through (-2,1) (7,1)​

Find the slope of the line that passes through (-2,1) (7,1)