Answer:
y = 3x - 5
Step-by-step explanation:
The equation of a line parallel to y=3x+6 has exactly the same form but a different constant on the right: y=3x+C
To find C, take the coordinates of the given point and substitute them into y=3x+C:
7 = 3(4) + C, or
7 = 12 + C, and so C = -5
The desired equation is y = 3x - 5
Answer:
(c) 8x^2 -32x +32, repeated root is x=2.
Step-by-step explanation:
A quadratic with repeated roots will be a multiple of a perfect square trinomial. The form of it will be ...
a(x -b)² = ax² -2abx +ab² = a(x² -2bx +b²)
Dividing by the leading coefficient will leave a monic quadratic whose constant is a (positive) perfect square, and whose linear term has a coefficient that is double the root of the constant.
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<h3>-x^2 + 18x + 81</h3>
Dividing by the leading coefficient gives ...
x^2 -18x -81 . . . . . a negative constant
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<h3>3x^2 - 6x + 9</h3>
Dividing by the leading coefficient gives ...
x^2 -2x +3 . . . . . . constant is not a perfect square
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<h3>8x^2 - 32x + 32</h3>
Dividing by the leading coefficient gives ...
x^2 -4x +4 = (x -2)^2 . . . . . has a repeated root of x=2
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<h3>25x^2 - 30x - 9</h3>
Dividing by the leading coefficient gives ...
x^2 -1.2x -0.36 . . . . . . a negative constant
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<h3>x^2 - 14x + 196</h3>
The x-coefficient is not 2 times the root of the constant.
14 = √196 ≠ 2√196
You would do
3(1p) =3p-n+4
and then add a 1 to the n
3p-1n+4
add 1n+4
3p-5n
hope this helps! tysm
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 10, 4) and (x₂, y₂ ) = (2, - 5)
m = = = - , thus
y = - x + c ← is the partial equation of the line
To find c substitute either of the 2 given points into the partial equation
Using (2, - 5), then
- 5 = - + c ⇒ c = - 5 + = -
y = - x - ← equation of line
You can solve this problem by using the Gauss method. The Gauss method is a method where you can add the first and last numbers together, and then multiply by how many times that appears. Here, the sum of the first and last number is -11. In this sequence, it would appear ten times (since there are ten terms and the terms are used twice in every eleven). -11 * 5 is -55, so that means the answer to this question is -55.