Answer:
yes
Step-by-step explanation:
The line intersects each parabola in one point, so is tangent to both.
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For the first parabola, the point of intersection is ...
y^2 = 4(-y-1)
y^2 +4y +4 = 0
(y+2)^2 = 0
y = -2 . . . . . . . . one solution only
x = -(-2)-1 = 1
The point of intersection is (1, -2).
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For the second parabola, the equation is the same, but with x and y interchanged:
x^2 = 4(-x-1)
(x +2)^2 = 0
x = -2, y = 1 . . . . . one point of intersection only
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If the line is not parallel to the axis of symmetry, it is tangent if there is only one point of intersection. Here the line x+y+1=0 is tangent to both y^2=4x and x^2=4y.
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Another way to consider this is to look at the two parabolas as mirror images of each other across the line y=x. The given line is perpendicular to that line of reflection, so if it is tangent to one parabola, it is tangent to both.
The congruence theorem that can be used is: B. ASA
<h3>What is the ASA Congruence Theorem?</h3>
If we have two triangles that have two pairs of corresponding congruent angles (e.g. ∠LGH ≅ ∠HKJ and ∠LHG ≅ ∠KHJ), and a pair of corresponding congruent sides (e.g. GH ≅ HK), the triangles are said to be congruent triangles by the ASA congruence theorem.
Therefore, triangles GHL and KHL in the image given are congruent triangles by the ASA congruence theorem.
Learn more about the ASA congruence theorem on:
brainly.com/question/2398724
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Answer:
16
Step-by-step explanation:
8x
substitute
8(2)
parenthesis mean multiplication
16
Answer:
a. 
b. 
c. 
d. 
Step-by-step explanation:
Given

Solving (a): When g(x) = 0
Substitute 0 for g(x)


Solve for 8x

Solve for x

Solving (b): when x = 0
Substitute 0 for x




Solving (c): When g(x) = -5
Substitute -5 for g(x)


Solve for 8x


Solve for x


Solving (d): When x = 3
Substitute 3 for x




Answer:
1 hour=35+15=50
2 hours=35+15(2)=65
3 hours=35+15(3)=80
4 hours=35+15(4)=95
Step-by-step explanation: