Determine the equation of g(x) that results from translating the function f(x) = x2 + 9 upward 11 units.

What is the slope of the line shown in the graph below?

densk [106]

Equation: m = y2-y1/x2-x1
Pick (x1, y1) = (2,1) and (x2, y2) = (0,5)
m = (5-1)/(0-2)
m = 4/(-2)
m = -2

So answer is d

3 0

4 years ago

Read 2 more answers

Graph the ordered pairs for y = 2x + 4 using x={−2, 1, 2}

horsena [70]

0,6,8 matching the order of the way u put the x=

6 0

3 years ago

Please help me solve. Surface area of this pyramid?

Sever21 [200]

Answer:

4,784ft^2

Step-by-step explanation:

Well in this case we will just use the square and triangle area formulas instead of the pyramid surface area formula.

So if the base is a square then the area is 32*32 which is 1,024.

Now for the trangle, the area of a triangle b*h/2.

So b*h is 47*32 which is 1,504.

So 1,504/2 is 752.

So 752 is the area of 1 triangle and we have 4 so 5*752 is 3,760.

So 3,760 + 1,024 is 4,784.

So the total SA if the pyramid is 4,784ft^3.

6 0

4 years ago

Read 2 more answers

Find the value of x and the value of y. 60 30 6

allochka39001 [22]

Answer:

The longest side, which is the opposite side of a right angle is the hypotenuse ( h ).

The opposite is the side opposite the angle involved and it is called the Perpendicular ( p ) .

The adjacent is the side next to the angle involved ( but not the hypotenuse ) and it is called the base ( b )

$\large{ \tt{❃ \: TAKING \: \angle \: \: A \: AS \: A \: ANGLE \: OF \: REFERENCE : }}$

Here , Perpendicular ( p ) = 6 , hypotenuse = y and now we're going to find the value of y first : We know :

$\large{ \tt{❁ \: sin \: 60 \degree = \frac{perpendicular}{hypotenuse} }}$

$\large{ \tt{➝ \: \frac{ \sqrt{3} }{2} = \frac{6}{y} }}$

$\large{ \tt{➝ \sqrt{3}y = 6 \times 2 }}$

$\large{ \tt{➝ \: \sqrt{3} \: y = 12 }}$

$\large{ \tt{➝ \: y= \frac{12}{ \sqrt{ 3} } }}$

$\boxed{ \large{ \tt{➝ y = \: 4 \sqrt{3} }}}$

$\large{ \tt{❇ \: TAKING \: \angle \: B \: AS \: THE \: ANGLE \: OF \: REFERENCE}} :$

Here - Perpendicular ( p ) = x , hypotenuse = y = 4 √ 3 and Now , we're gonna find the value of x :

$\large{ \tt{❊ \: sin \: 30 \degree = \frac{perpendicular}{hypotenuse} }}$

$\large{ \tt{⟶ \: \frac{1}{2} = \frac{x}{4 \sqrt{3} } }}$

$\large{ \tt{⟶ \: 2x = 4 \sqrt{3} }}$

$\large{ \tt{⟶ \: x = \frac{4 \sqrt{3} }{2} }}$

$\boxed{\large{ \tt{⟶ \: x = 2 \sqrt{3} }}}$

$\boxed{ \large{ \tt{❈ \: OUR \: FINAL \: ANSWER : \boxed{ \tt \: x = 2 \sqrt{3} \: \: y = 4 \sqrt{3} }✓}}}$

And we're done! Hope I helped! Let me know if you have any questions regarding my answer and also notify me , if you need any other help ! :)

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3 0

3 years ago

Find the value of x in the proportion. Check your answer.<br> 70<br> 14<br> х<br> 9

stira [4]

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3 0

3 years ago