Answer: y = 1/2x+3
Step-by-step explanation:
Subtract 66 from both sides
2x^2+12x -66 = 66-66
2x^2+12x-66= 0
Use quadratic formula with a=2, b=12 , c= -66
x= −b±√b2−4ac2a
x=−(12)±√(12)2−4(2)(−66)2(2)x=−12±√6724x=−3+√42 or x=−3−√42Answer:x=−3+√42 or x=−3−√42
Answer:
( m, n) = ( -6 , 11) .
Step-by-step explanation:
Given : A system of equations is shown below: n = 3m + 7
n − 2m = 1.
To find : What is the solution, in the form (m, n), to the system of equations.
Solution : We have given
n = 3m + 7 ------(1)
n − 2m = 1
We can write it as n = 1 + 2m -----(2)
In equating both equation (1) = (2).
n = n
3m + 7 = 1 +2m.
On subtracting both sides by 2m
3m - 2m + 7 = 1.
m + 7 = 1
On subtracting by 7 both sides
m = 1 - 7.
m = -6.
On plugging the value of m = -6 in equation 1.
n = 3m + 7
n = 3 (-6) + 7.
n = -18 + 7.
n = -11.
Then solution ( m, n) = ( -6 , 11) .
Therefore, ( m, n) = ( -6 , 11) .
Answer:
11 and 1
Step-by-step explanation:
taking 11 and multiplying it by 1 is 11
adding 11 and 1 is 12
therefore, the answer is 11 and 1
y = (x+2)(x-6)(x+7)
(x+2)(x+7)
x^2 - 6x + 2x - 12
x^2 - 4x - 12
(x^2 - 4x - 12)(x + 7)
x^3 + 7x^2 - 4x^2 - 28x - 12x - 84
x^3 + 3x^2 - 40x - 84
y = x^3 + 3x^2 - 40x - 84
scale factor 2.
Which of the following statements about the image of lines AC and PQ would be
TRUE under the dilation.
Line AC will be parallel to line AC, and line P Q will be the same line as line PQ.
Line AC will be perpendicular to line AC, and line P Q will be parallel to line PQ.
Line AC will be parallel to line AC and line P Q will be perpendicular to PQ.
Line AC will be parallel to line AC, and line P Q will be parallel to line PQ.
After the dilation line, AC will be parallel to line AC and line PQ will be perpendicular to PQ. Option C is correct.
The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.
Given this, the figure depicts the intersection of lines AC and PQ at point B. Under a dilation with center P and scale factor 2, lines A'C' and P'Q' will be the images of lines AC and PQ, respectively.
The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
Line AC will be parallel to line AC and lines P and Q will be perpendicular to PQ. Because they will be Parallel to each other and will be on the same line.
Thus, after the dilation line, AC will be parallel to line AC and line P Q will be perpendicular to PQ. Option C is correct.
Learn more about the dilation here:
#SPJ2
Answer:C
Step-by-step explanation:
Because they will be Parallel from each other and will be on the same line.