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oksano4ka [1.4K]
3 years ago
15

What is the equation of the following line? (-3,9)(0,0)

Mathematics
2 answers:
Tresset [83]3 years ago
5 0
Use the point-slope form. y-y₁= m(x-x₁). m stands for the slope. Do rise over run for the slope, which is (9-0)/(-3-0)= 9/-3 = -3. Use either (-3,9) or (0,0) as your (x₁,y₁). Using (0,0) is faster, so the equation is y=-3x
lana [24]3 years ago
3 0
<span>(-3,9)(0,0)
slope = 9 / -3 = -3
b = 0

equation
y = -3x</span>
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Solve the equation by completing the square round to the nearest hundredth is necessary x^2-x-7=0
masha68 [24]

The answers are 3.19 or -2.19.

In order to complete the square, you must first get the constant to the other side of the equation. WE do that by adding 7 to both sides.

x^2 - x - 7 = 0

x^2 - x = 7

Now we must take half of the x coefficient (-1), which would be -.5. Then we square it and add it to both sides. This is the second step to any completing the square problem.

x^2 - x = 7

x^2 - x + .25 = 7.25

Now that we have done that, the left side will be a perfect square so that, we can factor it.

x^2 - x + .25 = 7.25

(x - .5)^2 = 7.25

After having done that, we can take the square root of both sides

(x - .5)^2 = 7.25

x - .5 = +/-\sqrt{7.25}

Now we can take the value of that square root and solve.

x - .5 = +/-\sqrt{7.25}

x - .5 = +/-2.69

x = .5 +/- 2.69

And with the + and - both there, we need to do both to get the two answers.

.5 + 2.69 = 3.19

.5 - 2.69 = -2.19

4 0
3 years ago
1, 8, 27, 64 what are the next five numbers
Thepotemich [5.8K]

125, 216, 343, 512, 729

the numbers given in the sequence are recognisable as cubes

1 = 1³, 8 = 2³, 27 = 3³, 64 = 4³

the next five terms will be

5³ = 125, 6³ = 216, 7³ = 343, 8³ = 512 and 9³ = 729


6 0
3 years ago
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