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siniylev [52]
2 years ago
15

Determine the equation of the linear graph that passes through (-2,3) and (4,6). State your answer in the

Mathematics
1 answer:
Lena [83]2 years ago
3 0

The linear equation is y = 4 + 0.5x

<h3>How to determine the equation?</h3>

The points are given as: (-2,3) and (4,6)

The equation is then calculated using:

y = \frac{y_2 -y_1}{x_2 -x_1} *(x - x_1) + y_1

Substitute the known values

y = \frac{6-3}{4+2} *(x+2) + 3

Evaluate

y = 0.5 *(x+2) + 3

Expand

y = 0.5x + 1 + 3

Evaluate the sum

y = 0.5x + 4

Rewrite as:

y = 4 + 0.5x

Hence, the equation is y = 4 + 0.5x

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

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Given equation of a circle: x^2 – 4x + y^2 + 6y = 12 rewrite it in a standard form. Find its radius and coordinates of its cente
Yuki888 [10]

Answer:

<u>The standard form is:</u>

  • (x - h)² + (y - k)² = r², where (h, k) is the center, r is the radius

<u>Convert the given into standard form by completing square:</u>

  • x² - 4x + y² + 6y = 12
  • x² - 4x + 4 + y² + 6y + 9 = 12 + 4 + 9
  • (x - 2)² + (y + 3)² = 25
  • (x - 2)² + (y + 3)² = 5²
  • The standard form is above.
  • The center is (h, k) = (2, -3)
  • The radius is r = 5
7 0
3 years ago
How long it takes a 2800 investment to earn $500 interest if it's invested at 7% compounded quarterly. Round to the nearest tent
OleMash [197]
P=present value of investment = 2800
i=interest per quarter=0.07/4=0.0175
n=number of quarters money invested (to be calculated)
Interest = P[(1+i)^n-1]=500
2800((1+0.0175)^n-1)=500
(1+0.0175)^n=500/2800+1
take log on both sides
n(log(1.0175)=log(1+500/2800)
n=log(1+500/2800)/log(1.0175)
=9.471 quarters
=37.88 months
=37.9 months [ nearest tenth of a month ]

4 0
3 years ago
Write an expression to represent the area of a trapezoid which can be found my multiplying the height of the trapezoid by half o
erma4kov [3.2K]
2(a^2+b^2).

A^2 but b^2 = c^2 (area of triangle)

A trapezoid is two triangles put together i just say multiply those together
7 0
3 years ago
Need a quick answer please
Flauer [41]

Answer:

x=7

Step-by-step explanation:

(12x+1))+(5x-3)=117

conbine like terms

17x-2=117

     +2 +2

17x=119

/17    /17

x=7

7 0
3 years ago
3 6 12 24 48 sequence
Nastasia [14]
The sequence is 2n if we're finding a pattern. multiply the previous number by 2 to get the next.
3 0
4 years ago
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