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sergiy2304 [10]
3 years ago
10

Find the equation of the line that passes through (9,-4) and (-1,-8).

Mathematics
1 answer:
Xelga [282]3 years ago
7 0

Answer:

y =  \frac{2}{5} x - 7 \frac{3}{5}

Step-by-step explanation:

<u>Slope-intercept </u><u>form</u>

y= mx +c, where m is the gradient and c is the y-intercept.

\boxed{gradient =  \frac{y1 - y2}{x1 - x2} }

Gradient

=  \frac{ - 4 - ( - 8)}{9 - ( - 1)}

=  \frac{ - 4 + 8}{9 + 1}

=  \frac{4}{10}

=  \frac{2}{5}

Substitute the value of the gradient into the equation:

y =  \frac{2}{5} x + c

To find the value of the y-intercept, substitute a pair of coordinates.

When x= -1, y= -8,

- 8 =  \frac{2}{5} ( - 1) + c

- 8 =  -  \frac{2}{5}  + c

c =  - 8 +  \frac{2}{5}

c =  - 7 \frac{3}{5}

Thus the equation of the line is y =   \frac{2}{5} x - 7 \frac{3}{5}.

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Find the distance between the points given.<br> (0.5) and (-5, 0)
Andrew [12]

Answer:

I cant help unless i have workable units (0.5) is not a point

but im guessing that you were trying to say (0,5) in which case its

7.07106781187

its a triangle

5 on one side

5 on the other

solve for the hypotenuse

hypotenuse = \sqrt{50}

hypotenuse = 7.07106781187

I hope this helps!

8 0
3 years ago
Can I have some help on these two math questions?
BigorU [14]
8. 1,728 i did 12×18÷2=108×32=345÷2= 1,728
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The area of a rhombus is 90 square inches. If the longer diagonal measures 18 inches, what is the length of the shorter diagonal
lorasvet [3.4K]
10 Inches

A = p q / 2

p = diagonal 1
q = diagonal 2

2A / q = p

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180/18 = 10
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3 years ago
Jennifer needs to use a ladder to clean a second floor window on a building. If the window is 13 ft above the ground and the bas
BigorU [14]

By using the Pythagoras theorem, the length of the ladder will be 13.6 feet.

<h3>What is a Pythagoras theorem?</h3>

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

Jennifer needs to use a ladder to clean a second-floor window on a building.

If the window is 13 ft above the ground and the base of the ladder is 4 ft from the building.

Then the length of the ladder will be

H² = 13² + 4²

H² = 169 + 16

H² = 185

H = 13.6 ft

More about the Pythagoras theorem link is given below.

brainly.com/question/343682

#SPJ1

7 0
2 years ago
What unit of measurement can you use to measure the weight of a hippopotamus
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Answer:

Kg

Step-by-step explanation:

because all the things are meausured with it mostly

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