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3 years ago

7

The function y equals -6/7 x + 4 is shifted up 9 units what is the equation of the new function

1 answer:

serious [3.7K]3 years ago

3 0

Y = -6/7x + 13

Because it is a linear equation and you are simply shifting up, you can just add the number to the y intercept.

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A surveyor wants to find the distance from points A and B to an inaccessible point C. These three points form a triangle. Becaus

harkovskaia [24]

Answer:

Part a) $AC=135.95\ m$

Part b) $BC=124.14\ m$

The diagram in the attached figure

Step-by-step explanation:

step 1

Find the measure of angle C

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

$m\angle A+m\angle B+m\angle C=180^o$

substitute the given values

$53^o+61^o+m\angle C=180^o$

$114^o+m\angle C=180^o$

$m\angle C=180^o-114^o$

$m\angle C=66^o$

step 2

Find the distance AC

Applying the law of sines

$\frac{AB}{sin(C)}=\frac{AC}{sin(B)}$

see the attached figure to better understand the problem

substitute the given values

$\frac{142}{sin(66^o)}=\frac{AC}{sin(61^o)}$

$AC=\frac{142}{sin(66^o)}(sin(61^o))$

$AC=135.95\ m$ ---> rounded to the nearest hundredth

step 3

Find the distance BC

Applying the law of sines

$\frac{AB}{sin(C)}=\frac{BC}{sin(A)}$

substitute the given values

$\frac{142}{sin(66^o)}=\frac{BC}{sin(53^o)}$

$BC=\frac{142}{sin(66^o)}(sin(53^o))$

$BC=124.14\ m$ ---> rounded to the nearest hundredth

4 0

3 years ago

The female lion at a zoo weights 190 pounds more than female cheetah.Let c represent the weight in pounds of the cheetah.Wright

garri49 [273]

Answer:

c + 190 = Weight of the lion

Step-by-step explanation:

6 0

3 years ago

Check that 2b+b and 3b have the same value when b is 1,2, and 3. Do 2b+b and 3b have the same value for all values of b? Explain

Inessa [10]

Answer:

Expression 2b+b and 3b have same values for all values of b.

Step-by-step explanation:

Given the two expression $2b+b$ and $3b$ and values of b as 1, 2 and 3.

Consider first expression that is, $2b+b$ .

Substituting the value of $b=1$ ,

$2\left(1\right)+\left(1\right)=2+1=3$ ....1

Substituting the value of $b=2$ ,

$2\left(2\right)+\left(2\right)=4+2=6$ ....2

Substituting the value of $b=3$ ,

$2\left(3\right)+\left(3\right)=6+3=9$ ....3

Consider second expression that is, $3b$ .

Substituting the value of $b=1$ ,

$3\left(1\right)=3$ ....4

Substituting the value of $b=2$ ,

$3\left(2\right)=6$ ....5

Substituting the value of $b=3$ ,

$3\left(3\right)=9$ ....6

For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.

Therefore both expression are same for all values of b.

3 0

3 years ago

Can someone complete the square??

ira [324]

THE ANSWER IS..... X1= -6 & X2=0

5 0

3 years ago

What is 15% of 419.00

sasho [114]

Answer:

62.85

Step-by-step explanation:

divide bro

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3 years ago

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