9514 1404 393
Answer:
8. 4 +2q²/p² -4r/p +r²/p²
9. (x, y) = (3/4, -17/8)
Step-by-step explanation:
All of these questions are asking you to make use of the fact that ...
α + β = -q/p
αβ = r/p
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8. (2 +α²)(2 +β²) = 4 + 2(α² +β²) +α²β²
= 4 +2((α+β)² -2αβ) +(αβ)²
Substituting the above for the sum and product, you have ...
= 4 + 2((-q/p)² -2(r/p)) +(r/p)²
= 4 +2q²/p² -4r/p +r²/p²
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9. This is asking for the vertex of the parabola. The x-coordinate is ...
x=-b/(2a) = -(-3)/(2(2) = 3/4
Then the y-coordinate is ...
y = (2(3/4) -3)(3/4) -1 = (-3/2)(3/4) -1 = -9/8 -1 = -17/8
The (x, y) values of interest are (3/4, -17/8).
0, 1/2, -53, and 0.433 all belong in rational category
Answer:
ACD
Step-by-step explanation:
All statements are correct for two congruent trianglesStep-by-step explanation:If two triangles are congruent than the rules states thatTriangles are congruent when all corresponding sides and interior angles are congruent. The triangles will have the same shape and size, but one may be a mirror image of the other.As the fig shows two triangleΔ PQRΔ LMNAll three corresponding sides of triangle are congruentall three corresponding angles are congruentBoth triangle are of same sizeBoth are of same shapehence all the statements are CORRECT Keywords:Geometry
Answer:
9% decrease
Step-by-step explanation:
Percentage Decrease = [ (Starting Value - Final Value) / |Starting Value| ] × 100
Answer:
(B) Colorado, Canyon, Titan, Tacoma
Step-by-step explanation:
