An elevator in a hotel moves at 20 feet per second. leaving from the ground floor, its height in feet after t seconds is given by the formula h(t)=20t. A bolt comes loose in the elevator shaft above, and its height in feet after falling for t seconds is given by h(t)=-16t^2+200. At what time and at what height does the bolt hit the elevator?

Parallel lines have the same slope so the equation will have the same slope. The y-coordinate is the new y-intercept, so the equation is y = 3x + 8

Hope this helps

Answer:

y = 3x + 5

Step-by-step explanation:

Line y = 3x - 8; slope = 3

Parallel lines, slope is the same so slope of the line that parallel to the line y = 3x - 8 is also 3

Passing thru (1,8)

y - 8 = 3(x - 1)

y - 8 = 3x - 3

y = 3x + 5

Answer:

y = 3x + 5

Answer:

B

Step-by-step explanation:

The area of a parallelogram is base times height.

The height has to be perpendicular to the base, so the base (if you count) is 6 units, and the height is 8 units.

8x6=48 square units

Answer: Translated (Option C)

Step-by-step explanation:

Two similar triangles  RST was then dilated, to create triangle ZXY.

For dilation, translation should be done.

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.

As, ΔRST was dilated to form ΔZXY.

But, this can be done by translation , to create ΔZXY

The following information:

Since Triangle ΔZXY is slightly higher and to the right of triangle ΔRST.

So it should be translated.

so, that it could be dilated for ΔZXY.

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A triangular prism is a prism composed of two triangular bases and three rectangular sides

Answer:

c=20

Step-by-step explanation:

H(c)=6.4+0.6c

6.4 is the constant

when the height of the cups is 18.4 the function is:

18.4=6.4+0.6c

then you subtract 6.4 from both side to get:

18.4 - 6.4=6.4 + 0.6c - 6.4

12=0.6c

c= 12/.6

c=20

plzzz mark brainiest

Answer:

The number of cups in the stack is 20. I hope this helps!!

ANSWER

[tex]y = {( - x)}^{3} - 4[/tex]

EXPLANATION

The parent or base function is

[tex]y = {x}^{3} [/tex]

This function has its y-intercept at the origin.

It has been transformed vertically so that its y-intercept is now at -4.

This is a transformation of the form

[tex]y = {x}^{3} - k[/tex]

where k=4.

The function is also reflected in the x-axis.

The new function is

[tex]y = {( - x)}^{3} - 4[/tex]

The new function is

a) [tex]y = {( - x)}^(3) - 4[/tex]

The parent or base function is

[tex]y = {x}^(3)[/tex]

This function has its y-intercept at the origin.

It has been transformed vertically so that its y-intercept is now at -4.

This is a transformation of the form

[tex]y = {x}^(3) - k[/tex]

where k=4.

The function is also reflected in the x-axis.

The new function is

a) [tex]y = {( - x)}^(3) - 4[/tex]

Answer:

a. true: 3    false: -5

b. true: 9    false: 2

c. true: 1/3  false: 1

d. true: 2    false: 3

I hope this helps!

Answer:

Step-by-step explanation:

The domain of this relation includes one each of the various x-values:  {4, 5, 6, 8}; do not included 4 twice.

The domain is the x’s

12.5° or 13° depends how your teacher wants the answer. 4x-2 = 48

4x = 50

X = 12.5°

From the diagram, since[tex]$\angle AHK$[/tex]  and [tex]$\angle EHB$[/tex]  are supplementary angles, we have [tex]m\angle AHK + m\angle EHB = 180^\circ$.[/tex]

Substituting in the values that are given, we get [tex]48^\circ + (4x-2)^\circ = 180^\circ$.[/tex] Solving for x, we get [tex]$x = \boxed{33.5}$.[/tex]

From the diagram, we see that angles [tex]$\angle AHK$[/tex] and [tex]$\angle EHB$[/tex]  are supplementary angles.

Therefore, we have the equation [tex]m\angle AHK + m\angle EHB = 180^\circ$.[/tex]

Substituting in the values that are given, we get [tex]48^\circ + (4x-2)^\circ = 180^\circ$.[/tex]

Simplifying both sides of the equation, we get [tex]4x-2 + 48 = 180$.[/tex]

Subtracting 46 from both sides of the equation, we get [tex]4x = 134$.[/tex]

Dividing both sides of the equation by 4, we get

[tex]x = \boxed{33.5}$.[/tex]

For similar question on supplementary angles.

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You need to use substitution, to do so, you isolate one of the variables x or y in one equation, and then you substitute that equation into the other.

Since you only need to find x, isolate the y in one of the equations

x - 2y = 4

y = [tex]\frac{x}{2} -2[/tex]

Plug this in and simplify

9x + 2y = 16

9x + 2([tex]\frac{x}{2} -2[/tex]) = 16  Distribute the 2

9x + x - 4 = 16  

10x = 20

x = 2    Your answer is C

Answer:

16

Step-by-step explanation:

To find the term needed, use the binomial formula.

[tex](a+b)^2 = a^2 + 2ab + b^2[/tex]

Let 8x = 2ab, a is by default x, which leaves us with:

8x = 2xb

8 = 2b

b = 4

And by the binomial formula add [tex]b^2[/tex] to both sides, namely 16.

[tex]x^2 + 8x + 16 = 17 + 16\\(x+4)^2 = 33[/tex]

Answer: symmetric or reflexive

Step-by-step explanation:

I'm not forsure but I believe that these are the two options bc the other two aren't forsure sorry dude I'm trying :0

If we know that the angle on the left is 80° we know that the angle on the right is also 80°

We can subtract these from 360° and we are left with 200°

Since all four of the remaining angles are congruent we can divide our remaining 200° by 4

When you do that you get 50, meaning each remaining angle is 50°

Making x=50°

Hope this helped!

Answer:

x = 50

Step-by-step explanation:

There are no guarantees that the question can be answered unless the lines meeting at the intersection point are staight lines. You have to assume that to be true.

The angles making up the line starting at the lower right and going up to the upper left are

80 +x + x = 180            80 and one of the two xs are vertically opposite.

80 + 2x = 180               Subtract 80 from both sides.

80-80+2x=180-80        Subtract

2x = 100                        Divide by 2

2x/2 =100/2

x = 50

Answer:

60 percent.

Step-by-step explanation:

Answer:

36 cups

Step-by-step explanation:

every 20 minutes you make 12 cups. 20×3=60, which is 1 hour. You will meed to make 3 pots of coffee that are 12 cups each, 3×12=36

The cups would you serve per hour is 36.

We have given that,

In your job at a restaurant, you made a 12-cup pot of coffee at 7:20 a.m. By 7:40 a.m.

one hour contains a 60 inutes

That is the 1 hour=60 minutes.

Every 20 minutes you make 12 cups.

20×3=60, which is 1 hour.

You will need to make 3 pots of coffee that are 12 cups each

3×12=36

Therefore, the cups would you serve per hour is 36.

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Answer:D

Step-by-step explanation:

You subtract 8-3 which is 11c and then you add 2 to 6 which is 8

Answer:

5c+5, A

Step-by-step explanation:

This is because 8c is combined with the negative 3c to make 5 c. 6 c is combined with negative 2 to creat positive 4.

Answer:

Yes, there exists one output for every input

Step-by-step explanation:

* Lets revise how to test the function is one-one function

- Draw a horizontal line (parallel to x-axis) and moved it up and down

- If the horizontal line cut the graph in more than one point, then

 the function is not one-one function

- If the horizontal line cut the graph in only one point, then the

 function is one-one function

- That means one output for every input

* Now lets look to the graph

- If we draw a horizontal line and moved it up and down, the line

 will cut the graph in just one point

- That means every x has different value of y

∴ There is no same y-coordinate for two x-coordinates

* Yes, there exists one output for every input

Answer:

Prime numbers are whole numbers that multiply itself by 1 and they cannot be multiplied by other numbers.

Some examples of prime numbers would be: 1, 2, 3, 5, 7...

Answer:

2nd number line

Step-by-step explanation:

When there is an absolute value inequality of the form  |x+a| ≥ b,

We can say that the solution set (in a number line) would be:

Keeping these points in mind,

|x+3| ≥ 2

we start from x = -3

we go 2 units left and right, so we arrive at x = -5 and x = -1

then we draw arrows to both sides

looking at the choices, we see 2nd answer choices (graph) portrays it correctly.

Answer:

b

Step-by-step explanation:

Like last time, we substitute in each one until we find one we see can't work, or just look at them and choose the one that doesn't look right.

D in this case doesn't look right, so we can substitute it in:

-8+8=8

That isn't true, that equation would equal 0.

Hope I helped (again), sorry if I'm wrong!

~Mschmindy

D. (-2,4) is the answer?

The y-intercept is the y value when x = 0, or (0 , y)

Based on the graph, your y-intercept is at (0 , 2) or 2

The slope(m) can be found using the slope formula and plugging in 2 points:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

But if you look at the answer choices, if the slope is positive, the line would be going up and to the right

If the slope is negative, the line would be going down and to the right

your answer is A

Answer:

vertical translation of - 6

Step-by-step explanation:

given f(x) = 3x + 3

then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift of c units up ↑

• If c < 0 then a shift of c units down

shift from + 3 to - 3 is a vertical shift of 6 units down

The area is 10 :) hope that helps

Edit:

Reason:

(a+b)/2 * h is the formula plug in the numbers and you get:

(4+6)/2 * 2

10/2 * 2

5 * 2

= 10 feet.

Answer:

Step-by-step explanation:

Answer:

Radius is 13 and Circumferences is 81.64

Step-by-step explanation:

You divide 26 by two to get the radius and multiply 2 time pi times the radius or pi times diameter to get the circumference.

Answer:

radius=13

Circumference=26pi

Area=169pi

Step-by-step explanation:

The radius is half the diameter (SP or PR or PQ). The radius is 13

Area= pi(r)^2

r=radius

r=13

pi(13)^2=169pi

circumference=2pi(r)=(pi)d

r=radius

d=diameter

2(pi)13=26pi

Answer:

6 x 10 to the -6 power

Step-by-step explanation:

Moved the decimal to the right 6, since less than 0 its negative

Answer:

-6

Step-by-step explanation:

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Answer:

To find the solutions to the system of equations we need to graph the following equations:

y = 8 - 4x (Red line)

y = 2x - 4 (Blue line)

The point of interception, is the solution to the system of equations.

By looking at the graph attached, you can see that the point of itersection is at (2,0)

Answer:

both lines intercept at (2,0) which would be the second graph (B)

Step-by-step explanation:

im not sure but pie is 3.14

Answer:

A. 4

Step-by-step explanation:

4*x-4*1=4x-4