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2 years ago

Find the solution to the equation graphically. 10x-10= x+10

Mathematics

1 answer:

vova2212 [387]2 years ago

7 0

Answer:

100/9

Step-by-step explanation:

here is thd answer

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0.997903 kilograms in 2.2 pounds

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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

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

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

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

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2 years ago

6x + 7y = 1<br> 8x – 3y = 25<br> Solve me fast explainly

Elenna [48]

Answer:

{x,y} = {89/37,-71/37}

Step-by-step explanation:

8x = 3y + 25

[2] x = 3y/8 + 25/8

Plug this in for variable x in equation [1]

[1] 6•(3y/8+25/8) + 7y = 1

[1] 37y/4 = -71/4

[1] 37y = -71

Solve equation [1] for the variable y

[1] 37y = - 71

[1] y = - 71/37

By now we know this much :

x = 3y/8+25/8

y = -71/37

Use the y value to solve for x

x = (3/8)(-71/37)+25/8 = 89/37

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The measurement of PON is about 180 degrees

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