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Mariana [72]
3 years ago
8

Determine the direction that is parabola opens: y = -5x^2 -10x -13

Mathematics
1 answer:
Lunna [17]3 years ago
8 0
The parabola opens down, since the 'a' value of the equation is a negative value.
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Three friends each have some ribbon. Carol has 90 inches of ribbon, Tino has 7.5 feet of ribbon, and baxterhas 3.5 yards of ribb
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Carol has 15 feet of ribbon
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Prove-: sin5A = 5cos^4 A sinA - 10cos^2 A sin^3 A + sin^5 A
jeyben [28]
A=x\\\\sin5x=5cos^4xsinx-10cos^2xsin^3x+sin^5x\\\\L=sin(3x+2x)=sin3xcos2x+sin2xcos3x=(*)\\-------------------------------\\sin3x=sin(2x+x)=sin2xcosx+sinxcos2x\\=2sinxcosxcosx+sinx(cos^2x-sin^2x)\\=2sinxcos^2x+sinxcos^2x-sin^3x=3sinxcos^2x-sin^3x\\-------------------------------

sin3xcos2x=(3sinxcos^2x-sin^3x)(cos^2x-sin^2x)\\=3sinxcos^4x-3sin^3xcos^2x-sin^3xcos^2x+sin^5x\\=3sinxcos^4x-4sin^3xcos^2x+sin^5x\\-------------------------------

cos3x=cos(2x+x)=cos2xcosx-sin2xsinx\\=cosx(cos^2x-sin^2x)-2sinxcosxsinx\\=cos^3x-sin^2xcosx-2sin^2xcosx=cos^3x-3sin^2xcosx\\-------------------------------

sin2xcos3x=2sinxcosx(cos^3x-3sin^2xcosx)\\=2sinxcos^4x-6sin^3xcos^2x\\-------------------------------


(*)=3sinxcos^4x-4sin^3xcos^2x+sin^5x+2sinxcos^4x-6sin^3xcos^2x\\\\=5sinxcos^4x-10sin^3xcos^2x+sin^5x=R

=======================================\\\\sin(\alpha+\beta)=sin\alpha cos\beta+sin\beta cos\alpha\\\\cos(\alpha+\beta)=cos\alpha cos\beta-sin\alpha sin\beta\\\\sin2\alpha=2sin\alpha cos\alpha\\\\cos\alpha=cos^2\alpha-sin^2\alpha
5 0
3 years ago
Number 22 i need help
UNO [17]
12 divided by 0.12 is 100
3 0
3 years ago
What is the answer to 3 + y; 1/3 (6+y)
baherus [9]

Answer:

No, the expression are not equivalent.

Step-by-step explanation:

No way to simplify 3 + y so we leave it as is. Let's look at \frac{1}{3}\left(6+y\right)

If we expand using distributive property we get:

2+\frac{y}{3}

3 + y does not equal to 2 + y/3.

5 0
3 years ago
What is
krok68 [10]
If the lines were parallel they would have the same slope. if the lines were perpendicular then the slope would be the negative reciprocal slope. The answer to your question would be -3/7.
6 0
3 years ago
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