Answer: Y=mx+b
B is the y intercept and the slope is M
So the answer is Y= -4x+ 0
Step-by-step explanation:
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
Answer:
<em>D. v equals the square root of quantity z times the sum of w plus z end quantity</em>
Step-by-step explanation:
We will use pythagoras theorem to solve this question. According to ΔABD, side AB is the hypotenuse of the triangle while AD and BD are the opposite and adjacent sides.
From ΔABD, v² = z² + y² ... 1
Also from ΔABC, side AC is the hypotenuse, AB and BC are the opposite and the adjacent side. Since AC = w+z, AB = v and AC = x, then;
AC² = AB²+BC²
(w+z)² = v²+x²
v² = (w+z)² - x² ... 2
Also, from ΔBCD, x² = y²+w²... 3
Substituting equation 3 into 2 will give;
v² = (w+z)² - x²
v² = (w+z)² - (y²+w²) ... 4
Equating 1 and 4
z²+y² = (w+z)² - (y²+w²)
z²+y² =w²+z²+2wz - (y²+w²)
z²+y² =w²+z²+2wz - y² - w²
z²+y² = z²+2wz - y²
2y² = 2wz
y² = wz ... 5
From equation 1; v² = z² + y²
substituting eqn 5 into 1;
v² = z²+wz
v = √z(w+z)
Hence the correct expression of v in words is 'v equals the square root of quantity z times the sum of w plus z end quantity'
Answer:
n ≥ -1 or n ≤ 3
Combined:
-1 ≤ n ≤ 3
Since the inequalities are ≤, it'll be a closed circle
The closed circle will start AT -1 and another closed circle will end at 3
Answer:
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