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3 years ago

How do the X- and Y-coordinates change when a figure is translated right a units and down b units?

2 answers:

Natasha2012 [34]3 years ago

4 0

Hey there,

The x and y coordinates change as a shape or figure moves up and down, left or right. As something goes up numbers get bigger and down the numbers get smaller.

Hope I helped :)

Elodia [21]3 years ago

3 0

Translating right means to move horizontal on the x axis changing the x coordinate.
same for y coordinate but going up means moving vertically

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Roscoe's family has a dinner at a restaurant. The total cost is $103.80. This includes 5% tax and 15% tip on the pre-tax amount.

Alla [95]

$83.04 is the total before tax and the tip

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3 years ago

Match each positive or negative value with the situation that describes it

Akimi4 [234]

Answer:

1.) -10

2.) 10

3.) -27

4.) 27

5.) -8

6.) 8

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3 years ago

A unit vector lies in the xy plane, at an angle of 137 degrees from the x axis, with a positive y component. What is the unit ve

Fed [463]

Answer: ( -0.731, 0.682)

Step-by-step explanation:

The unit vector is defined as a vector that points in the same direction as our vector (137 degrees from the x-axis) and has a magnitude of 1.

Knowing the angle, is really simple to do it.

First, we know that for a radius R and an angle A, the rectangular coordinates can be written as:

x = R*cos(A)

y = R*sin(A)

And if we want that the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 137°

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y = 1*sin(137°) = 0.682

Then the unit vector is: ( -0.731, 0.682)

8 0

3 years ago

Castel and Kali are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of

True [87]

Answer:

Plain is $7 and Holiday is $15

Step-by-step explanation:

Castel: 2p + 5h = 89

Kali: 9p + 10h = 213

Double Castel's: 4p + 10h = 178

Subtract fro Kali's 9p + 10h = 213

- 4p + 10h = 178

5p = 35

p = 7 Plain is $7

Substitute 7 into one of the equations and solve for h:

2(7) + 5h = 89

14 + 5h = 89

5h = 75

h = 15 Holiday is $15

6 0

3 years ago

The table includes points on a quadratic function used to model the shape of a hole for one support beam at a new building site.

erastovalidia [21]

The hole is 8 feet deep at ground level ⇒ 3rd answer

Step-by-step explanation:

The form of the quadratic function is y = ax² + bx + c, where

a is the coefficient of x²
b is the coefficient of x
c is the y-intercept (at x = 0)

The vertex point of the quadratic is (h , k), where $h=\frac{-b}{2a}$

and k is the value of y when x = h

The table:

→ x : -2 , 0 , 2

→ y : -6 , -8 , -6

∵ x represents distance from hole's center in feet

∵ y represents the depth from level ground

∴ The quadratic function is y = ax² + bx + c

∵ c is the value of y at x = 0 ⇒ y-intercept

- From the table at x = 0 ⇒ y = -8

∴ c = -8

- Substitute its value in the function model

∴ y = ax² + bx - 8

- To find the values of a and b substitute x and y in the model by

the coordinates of the point in the table

∵ x = -2 and y = -6

∴ -6 = a(-2)² + b(-2) - 8

∴ -6 = 4a - 2b - 8

- Add 8 to both sides

∴ 2 = 4a - 2b

- Switch the two sides

∴ 4a - 2b = 2 ⇒ (1)

∵ x = 2 and y = -6

∴ -6 = a(2)² + b(2) - 8

∴ -6 = 4a + 2b - 8

- Add 8 to both sides

∴ 2 = 4a + 2b

- Switch the two sides

∴ 4a + 2b = 2 ⇒ (2)

Now we have a system of equation to solve it

Add equations(1) and (2) to eliminate b

∵ 8a = 4

- Divide both sides by 8

∴ a = 0.5

- Substitute value of a in equation (1) or to to find b

∵ 4(0.5) + 2b = 2

∴ 2 + 2b = 2

- Subtract 2 from both sides

∴ 2b = 0

- Divide both sides by 2

∴ b = 0

Substitute the values of a and b in the function model

∴ y = 0.5x² + (0)x - 8

∴ y = 0.5x² - 8

∵ y represents the depth from level ground

∵ The vertex of the function model is (h , k)

∴ The deep of the hole at ground level is the value of k

∵ $h=\frac{-b}{2a}$

∴ $h=\frac{-(0)}{2(0.5)}$

∴ h = 0

∵ k is the value of y when x = h

- From the table at x = 0 ⇒ y = -8

∴ k = -8

- Ignore the sign (-) because the k represents the depth of the

hole in feet

∴ The deep of the hole at ground level is 8 feet

The hole is 8 feet deep at ground level

Learn more:

You can learn more about the quadratic function in brainly.com/question/1332667

#LearnwithBrainly

4 0

4 years ago