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Andrews [41]
3 years ago
7

Find an equation for the line that passes through the points (-4, -1) and (6, 3)

Mathematics
2 answers:
Anarel [89]3 years ago
5 0

Answer:

y = (2/5)x + 3/5

Step-by-step explanation:

<u>Points to remember </u>

Equation of the line passing through the poits (x1, y1) and (x2, y2)  and slope m is given by

(y - y1)/(x - x1) = m    where slope m = (y2 - y1)/(x2 - x1)

<u>To find the slope of line </u>

Here (x1, y1) =  (-4, -1) and  (x2, y2) = (6, 3)

Slope = (y2 - y1)/(x2 - x1)

 = (3 - -1)/(6 - -4)

 = 4/10 = 2/5

<u>To find the equation </u>

(y - y1)/(x - x1) = m  

(y - -1)/(x - -4) = 2/5

(y + 1)/(x + 4) = 2/5

5(y + 1) = 2(x + 4)

5y + 5 = 2x + 8

5y = 2x + 3

y = (2/5)x + 3/5

skad [1K]3 years ago
3 0

Answer:

y=2/5x+3/5

Step-by-step explanation:

Use the slope formula to get the slope:

m=4/10

m=2/5

The y intercept is 3/5

The equation is y=2/5x+3/5

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57.8 divided by 81 but estimate the divisor and divided
NeTakaya

Answer:

6

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Adena, Julius, and Tia volunteered to read to children at the public library. Julius worked two hours less than Tia. Adena worke
mafiozo [28]

Answer:

28 hours

Step-by-step explanation:

Adena, Julius, and Tia volunteered to read to children at the public library.

Let us represent, the number of hours worked by

Adena = x

Julius = y

Tia = z

Julius worked two hours less than Tia.

y = z - 2

z = y + 2

Adena worked twice as many hours as Julius.

x = 2y

Altogether they worked 58 hours.

x + y + z = 58.... Equation 1

We substitute 2y for x and y + 2 for z in Equation 1

2y + y + y + 2 = 58

4y + 2 = 58

Collect like terms

4y = 58 - 2

4y = 56

y = 56/4

y = 14

We are the find the number of hours Adena worked which is represented by x

Note that:

x = 2y

y = 14, hence,

x = 2 × 14

x = 28 hours

Therefore, the number of hours Adena worked is 28 hours

4 0
2 years ago
How many times larger is 9 × 10^9 than 3 x 10^-4
ratelena [41]
<span>   9 × 10^9
---------------- = 3 x 10^13
  </span><span>3 x 10^-4 

answer
3 x 10^13 times larger</span>
3 0
2 years ago
What are the solutions of the equation x^4 + 95x^2 - 500= 0? Use factoring to solve
Artist 52 [7]
1) given x^4 + 95x^2 - 500

2) split in two factors with common factor term x^2: (x^2 + )(x^2 - )

3) find two numbers that add up 95 and their product is - 500:

=> 100*(-5) = - 500 and 100 - 5 = 95

=> (x^2 + 100)(x^2 - 5)

4) factor x^2 - 5 = (x + √5) (x - √5)

5) write the prime factors: (x^2 + 100) (x + √5) (x -√5)

6) find the solutions:

x^2 + 100 = 0 => not possible

x + √5 = 0 => x = - √5

x - √5 = 0 => x = √5


Answer: x = √5 and x = - √5
4 0
3 years ago
Please help ASAP. The picture is above
Setler [38]
Every triangle’s inner angles’ addition equals to 180°
So if we find the x:
38°+x+2°+x=180°
40°+2x=180°
2x=180°-40°=140°
x=140°/2
x=70°
Now if we find the I hope this helped :)
7 0
2 years ago
Read 2 more answers
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