What is 2 1/4 plus 4 3/10?

When point A( 3, 1) is translated 2 units to the right and 6 units up the coordinates of point A'

9966 [12]

Answer:

A' = (5,7)

Step-by-step explanation:

So, we start with the original point A at (3,1), that means x = 3 and y = 1.

We move it 2 units to the right... so we're moving along the X-axis... and we're moving to the right.. so we're increasing the value of x. That means starting with x = 3, we go 2 more units... we then get to x = 5.

In the same way, we move 6 units up... so we move along the Y-axis. We go up, so we also increase the value of y. Starting with y = 1, we move up by 6 units... so we are now at y = 7.

A' point is then at (5,7).

3 0

3 years ago

a mechanic equally divides 4 hours of his time to repair 8 cars how many cars does she repair in one hour

pantera1 [17]

If that is all the question is asking, simply solve the problem.

Divide 8 cars by 4 hours, giving you 2 cars every hour.

5 0

4 years ago

Read 2 more answers

Drag the correct graph of each equation into the space next to that equation to show how the output y-values change with changes

Jlenok [28]

Answer:

see the explanation and the attached figure

Step-by-step explanation:

Part 1) Linear

we have

$y=x+3$

This is the equation of the line in slope intercept form

The slope is positive and equal to m=1

The y-intercept is b=3

As the value of x increases the value of y increases too

As the value of x decreases the value of y decreases too

therefore

The graph in the attached figure

Part 2) Quadratic function

we have

$y=3x^2$

This is a vertical parabola open upward with the vertex at origin

As the value of x increases the value of y increases too

As the value of x decreases the value of y increases

therefore

The graph in the attached figure

Part 3) Exponential function

we have

$y=3^x$

This is a exponential growth function

As the value of x increases the value of y increases too

As the value of x decreases the value of y decreases too

The initial value or y-intercept is 3

therefore

The graph in the attached figure

8 0

3 years ago

A rock is dropped off a 500-foot cliff. After 1 second the rock is traveling 32 feet per second then after 4 seconds the rock st

professor190 [17]

Answer:

Part A:

The equation describing the relationship between speed and time is:

s = 32t

Ordered pairs of the form (speed, time) are:

(32, 1)

(64, 2)

(96, 3)

(128, 4)

Part B:

s = 32t

s = 32 * 5 = 160 feet per second

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Height of the cliff = 500 feet

Speed after one second = 32 feet per second

Speed after four seconds = 128 feet per second

2. Assume the relationship between time, t, and speed, s, is linear and write an equation describing the relationship. Use ordered pairs of the form (speed, time)

The equation describing the relationship between speed and time is:

s = 32t

Ordered pairs of the form (speed, time) are:

(32, 1)

(64, 2)

(96, 3)

(128, 4)

3. Use the equation to determine the speed of the rock 5 seconds after is dropped.

s = 32t

s = 32 * 5 = 160 feet per second

7 0

3 years ago

How long was each sprinkler used? The water output rate for the Rodriguez family's sprinkler was 15L per hour. The water output

Lelechka [254]

Answer:

Rodriguez family's sprinkler used for 40 hours

Perry family's sprinkler used for 15 hours.

Step-by-step explanation:

Let "x" be the number of hours Rodriguez family's sprinkler used and "y" be the number of hours Perry family's sprinkler used.

Now let's form two equations using the given information.

x + y = 55 ------------(1)

Using the output, we can form another equation.

15x + 20y = 900 -----(2)

Now we have to solve these two equations to find the number of hours each sprinkler used.

We can use substitution method to solve these two equations.

From the equation (1), we can write

x = 55 - y

Now plug in x = 55 - y in the equation (2), we get

15(55 - y) + 20y = 900

Using the distributive property a(b -c) = ab - ac, we get

15(55) - 15y + 20 y = 900

825 - 15y + 20y = 900

Simplifying the above equation, we get

5y = 900 - 825

5y = 75

Dividing both sides by 5, we get

y = 15

Now plug y = 15 in x = 55 - y to find the value of x.

x = 55 - 15

x = 40

So, Rodriguez family's sprinkler used for 40 hours

Perry family's sprinkler used for 15 hours.

3 0

3 years ago