Answer:
x= - 9 y = 3
Step-by-step explanation:
x + 2y = -3
<u>- (x - y = - 12)</u>
x - x +2y + y = - 3 + 12
3y = 9
y = 3
x- y = - 12
x - 3 = - 12
x= - 9
Answer:
point slope form
Step-by-step explanation:
hi! we can use point slope form:
y-y1=m(x-x1)
where m is the slope, x1 is the x-coordinate of the given point, and y1 is the y-coordinate of the given point.
example:
slope is 4
ordered pair is (2,3)
y-3=4(x-2)
y-3=4x-8
y=4x-5
hope this helps!
Answer:
3(x - 2)² - 17
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square.
Given
3x² - 12x - 5 ← factor out 3 from the first 2 terms
= 3(x² - 4x) - 5
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 4x
= 3(x² + 2(- 2)x + 4 - 4 ) - 5
= 3(x - 2)² - 12 - 5
= 3(x - 2)² - 17 ← in vertex form
Answer:
4 times larger
Step-by-step explanation:
3² = 9
(3+3)² = 36
36 is four times larger than 9
Answer:
98 degrees
Step-by-step explanation:
first find angle G
53 + 45 + G = 180
subtract 45 and 53 from both sides
G = 82
angle g is supplementary (add up to 180) to x
x +82 = 180
subtract 82 from both sides
x = 98