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ArbitrLikvidat [17]
1 year ago
7

Complete the equation of the line through (3,-8)(3,−8)left parenthesis, 3, comma, minus, 8, right parenthesis and (6,-4)(6,−4)le

ft parenthesis, 6, comma, minus, 4, right parenthesis.
Mathematics
2 answers:
Charra [1.4K]1 year ago
8 0

Answer:

y  = \frac{4}{3}x - 12

Step-by-step explanation:

Given

(x_1,y_1) = (3,-8)

(x_2,y_2) = (6,-4)

Required

Determine the equation

First, we need to determine the slope (m):

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

m = \frac{-4 - (-8)}{6 -3}

m = \frac{-4 +8}{3}

m = \frac{4}{3}

Next, we determine the line equation using:

y - y_1 = m(x - x_1)

Where

m = \frac{4}{3}

(x_1,y_1) = (3,-8)

y - (-8) = \frac{4}{3}(x - 3)

y +8 = \frac{4}{3}(x - 3)

y +8 = \frac{4}{3}x - 4

y  = \frac{4}{3}x - 4 - 8

y  = \frac{4}{3}x - 12

hram777 [196]1 year ago
6 0

Answer:

The answer is y = 4/3x - 12

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

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the size of a rectangular computer screen is determined by the length of its diagonal. tom buys a 52cm screen that is 33 cm high
Snowcat [4.5K]

Answer:

40.20cm approx

Step-by-step explanation:

Step one

given data

We are told that the dimension of a computer screen

diagonal= 52 cm

height= 33cm

Length = ?

Required

The length of the base of the screen

Step two

Let us use Pythagoras theorem to find the length of the base

Hyp^2= Opp^2+ Adj^2

52^2= 33^2+ L^2

2704= 1089+L^2

L^2= 2704-1089

L^2= 1615

L=√1615

L= 40.20cm approx

<u>The length is 40.20cm approx.</u>

8 0
2 years ago
Identify the equation of the circle that has its center at (10, 24) and passes through the origin.
marishachu [46]

Answer:

A )  The Equation of the circle (x−10)2+(y−24)2=676

Step-by-step explanation:

step1:-

The equation of the circle whose center is (a,b) and radius r is

(x-a)^{2} +(y-b)^{2} =r^{2}

(x-10)^{2}+(y-24)^{2}  =676

in this circle equation centre is (g,f) = (10,24)

and formula of radius of a circle is

r = \sqrt{g^{2}+f^{2} -c }

Step2:-

The Equation of the circle (x−10)^2+(y−24)^2=676

5 0
2 years ago
The student council raised $2,790 during its annual fundraiser. The money was shared equally among the Events Committee, the Spo
irina [24]

Answer:

77

Step-by-step explanation:

$2790 is shares equally between 3 committees. each committee would get - $2790 / 3 = $930

If a shirt costs $12 and the Sports Committee gets $930, the committee would get $930 / $12 = 77.5

The committee cannot get half a shirt, so the greatest number of shirt that can be purchased is 77

6 0
2 years ago
rita traveled 1250 miles in the first 3 days of her trip. at this rat how long will it take her to travel 1875?
xenn [34]
It will take rita 4.5 days to travel to her destination
3 0
2 years ago
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A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is
siniylev [52]

Answer:

8

Step-by-step explanation:

Let x be the number of people

12.5x + 13 < 125

x < 8.96

Max number of x is 8

6 0
1 year ago
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