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Anastasy [175]
2 years ago
9

Write the equation of the line passing through the point (-4 "-7)" and (8 "-17)"

Mathematics
1 answer:
kicyunya [14]2 years ago
5 0

Answer:

y  = -\dfrac{5}{6} x -\dfrac{31}{3}

In order to find equation:

<u>Find slope</u>:

\sf  slope: \dfrac{y_2 - y_1}{x_2- x_1}  = \dfrac{rise}{run}

\rightarrow \sf slope:  \dfrac{-17-(-7)}{8-(-4)}

\rightarrow \sf  slope: -\dfrac{5}{6}

Then find equation using:

y - y1 = m(x -x1) where (x1, y1) are points, m is slope

\sf \rightarrow y - (-17) = -\dfrac{5}{6} (x - 8)

\sf \rightarrow y  = -\dfrac{5}{6} x + \dfrac{20}{3} -17

\sf \rightarrow y  = -\dfrac{5}{6} x -\dfrac{31}{3}

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if the base area of a cylinder is 15.6 square centimeters and the height is four centimeters what is the volume of the cylinder?
vredina [299]

Answer:

Volume of the cylinder = 62.4 cm³

Step-by-step explanation:

Volume of a cylinder = area of base × height of the cylinder

Area of base = 15.6 square centimeters

Height of the cylinder = 4 centimeters

Volume of a cylinder = area of base × height of the cylinder

= 15.6 cm² × 4 cm

= 62.4 cm³

Volume of the cylinder = 62.4 cm³

8 0
2 years ago
278 times 35<br> plz help
saw5 [17]

Answer:

9,730

Step-by-step explanation:

4 0
2 years ago
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A triangle has a perimeter of 165cm the first side is 65 cm less than twice the second side the third side is 10 cm less than th
katrin2010 [14]

Answer:

The sides of the triangle are:

Second side = 60 cm

First side = 55 cm

Third side = 50 cm

The perimeter equation can be given as:

4s-75=165

Step-by-step explanation:

Given:

Perimeter of triangle = 165 cm

First side = 65 cm less than twice the second side

Third side = 10 cm less than the second side

To find length of each side and write the equation that represents the perimeter of triangle.

Solution:

Let length of second side be = s cm

First side will be given as = (2s-65) cm

Third side will be given as =  (s-10) cm

Perimeter of triangle = Sum of all sides

Thus, perimeter can be given as:

⇒ First\ side+ Second\ side+Third\ side

⇒ 2s-65+s+s-10

Simplifying by combining like terms.

⇒ 4s-75

We know the perimeter of triangle = 165 cm

So, the perimeter equation can be given as:

4s-75=165

Solving for s.

Adding 75 both sides.

4s-75+75=165+75

4s=240

Dividing both sides by 4.

\frac{4s}{4}=\frac{240}{4}

s=60

Thus, the sides of the triangle are:

Second side = 60 cm

First side = 2(60)-65 = 55 cm

Third side = 60-10 = 50 cm

5 0
3 years ago
What is the gcf of 16 and 25
Salsk061 [2.6K]
The GCF is 1. There is no other number that those numbers have in common.

Hope this helps!!
4 0
3 years ago
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Find the y-intercept for the parabola defined by this equation y=5x2-x-6
bija089 [108]
Y intercept is -6

Y= 5x^2-X-6
Y= 5(0)^2-0-6
Y= 0-0-6
7 0
4 years ago
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