1) Answer: x = 9
<u>Step-by-step explanation:</u>
Same Side Interior Angles are supplementary
15 + 5x + 14x - 6 = 180
19x + 9 = 180
19x = 171
x = 9
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2) Answer: x = 9
<u>Step-by-step explanation:</u>
Corresponding Angles are congruent
13x - 7 = 11x + 11
2x = 18
x = 9
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3) Answer: x = -10
<u>Step-by-step explanation:</u>
Alternating Interior Angles are congruent
90 = x + 100
-10 = x
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3) Answer: x = 7
<u>Step-by-step explanation:</u>
Alternating Exterior Angles are congruent
17x + 1 = 120
17x = 119
x = 7
Answer:
y=1/3x answer A
Step-by-step explanation:
1/3 is the negative reciprcal of -3/1 also i took it on edg
<h3>
Answer: Vertex is (2,2)</h3>
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Explanation:
The equation
y = -3x^2 + 12x - 10
is in the form
y = ax^2 + bx + c
with a = -3, b = 12, c = -10
Plug the 'a' and 'b' values into the equation below to find the x coordinate of the vertex
h = -b/(2a)
h = -12/(2*(-3))
h = -12/(-6)
h = 2
The x coordinate of the vertex is h = 2, which is then used to find the y coordinate of the vertex
y = -3x^2 + 12x - 10
y = -3(2)^2 + 12(2) - 10
y = -3(4) + 12(2) - 10
y = -12 + 24 - 10
y = 12 - 10
y = 2
The y coordinate of the vertex is k = 2
The vertex is (h,k) = (2,2)
C
expand factors, sum like terms and divide by 2
(x + 2)² + (x - 2)² = x² + 4x + 4 + x² - 4x + 4 = 2x² + 8
(2x² + 8 ) = x² + 4 → C
Hope the image below helps :)
