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2 years ago

PLZ HELP QUICK I NEED HELP 3 ^x−1 = 9 ^x+2

Mathematics

1 answer:

Crazy boy [7]2 years ago

6 0

I believe the answer is
X = -5

3 ^ -4 = 9^-2
Hope this helps!

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What is the value of this expression

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8*8*8 = 512. Te negative gets removed.

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2 years ago

How do i solve for <br> (2x/5)+1=13/5

NNADVOKAT [17]

Answer:

x = 4

Step-by-step explanation:

$\frac{2x}{5} +1 = \frac{13}{5}$
$\frac{2x+5}{5} = \frac{13}{5}$ divide both sides by 5
2x + 5 = 13 subtract 5 from both sides
2x = 8 divide both sides by 2
x = 4

5 0

2 years ago

If 180° < α < 270°, cos⁡ α = −817, 270° < β < 360°, and sin⁡ β = −45, what is cos⁡ (α + β)?

eduard

Answer:

$cos(\alpha+\beta)=-\frac{84}{85}$

Step-by-step explanation:

we know that

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

Remember the identity

$cos^{2} (x)+sin^2(x)=1$

step 1

Find the value of $sin(\alpha)$

we have that

The angle alpha lie on the III Quadrant

The values of sine and cosine are negative

$cos(\alpha)=-\frac{8}{17}$

Find the value of sine

$cos^{2} (\alpha)+sin^2(\alpha)=1$

substitute

$(-\frac{8}{17})^{2}+sin^2(\alpha)=1$

$sin^2(\alpha)=1-\frac{64}{289}$

$sin^2(\alpha)=\frac{225}{289}$

$sin(\alpha)=-\frac{15}{17}$

step 2

Find the value of $cos(\beta)$

we have that

The angle beta lie on the IV Quadrant

The value of the cosine is positive and the value of the sine is negative

$sin(\beta)=-\frac{4}{5}$

Find the value of cosine

$cos^{2} (\beta)+sin^2(\beta)=1$

substitute

$(-\frac{4}{5})^{2}+cos^2(\beta)=1$

$cos^2(\beta)=1-\frac{16}{25}$

$cos^2(\beta)=\frac{9}{25}$

$cos(\beta)=\frac{3}{5}$

step 3

Find cos⁡ (α + β)

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

we have

$cos(\alpha)=-\frac{8}{17}$

$sin(\alpha)=-\frac{15}{17}$

$sin(\beta)=-\frac{4}{5}$

$cos(\beta)=\frac{3}{5}$

substitute

$cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})$

$cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}$

$cos(\alpha+\beta)=-\frac{84}{85}$

4 0

2 years ago

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seraphim [82]

Answer:

-6x is the slope

Step-by-step explanation:

1,-3

2,-9

-9+3 is -6

2-1 is 1

-6/1 is -6

7 0

2 years ago

The quotient of 9 and a number less 4

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Answer:

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2 years ago