Please answer the question

If the figure shown on the grid below is dilated by a scale factor of

shepuryov [24]

The coordinate of point N after the dilation is N' = (-8/3, 8/3)

<h3>Dilation of coordinates</h3>

Dilation is a transformation technique for changing the size of an object using a scale factor.

Given the coordinate of N from the figure as (-4, 4). If this coordinate point is dilated by a factor of 2/3, then the resulting coordinate will be:

N' = (2/3(-4), 2/3(4))

N' = (-8/3, 8/3)

Hence the coordinate of point N after the dilation is N' = (-8/3, 8/3)

Learn more on scale factor here: brainly.com/question/10253650

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7 0

1 year ago

Mrs. Jackson put a total of $10,000 into two accounts one account earns 6% simple annual interest the other account earns 6.5% s

kozerog [31]

Answer:

The money invested in account at 6 % rate is $ 9230.77

The money invested in account at 6.5 % rate is $ 769.23

Step-by-step explanation:

Given as :

The total amount saves in two account = $ 10,000

The two rate of interest are 6 % and 6.5 % at simple interest

The interest earn at 6 % rate = $ 632

The interest earn at 6.5 % ate = $ 50

Now, Let The amount deposit at 6 % rate = $ x

And The amount deposit at 6.5 % rate = $ 10,000 - $ x

From Simple Interest method

Simple Interest = $\dfrac{\textrm principal \times \textrm Rate\times \textrm time}{100}$

or, At 6.5 % rate

$ 50 = $\dfrac{\textrm (10,000 - x ) \times \textrm 6.5\times \textrm 1}{100}$

or, 10000 - x = $\frac{5000}{6.5}$

Or, 10000 - x = 769.23

∴ x = 10000 - 769.23

I.e x = $ 9230.77

So , At 6.5 % the amount deposit = 10,000 - 9230.77 = $ 769.23

So, At 6 % The amount deposit = $ 9230.77

Hence The money invested in account at 6 % rate is $ 9230.77

And The money invested in account at 6.5 % rate is $ 769.23 Answer

7 0

3 years ago

Solve the system of equations by elimination. 2x - y + 3z=-1 x + 2y - 4z=-1 y – 2z=0

MrRa [10]

Answer:

x = -1, y = 2 and z = 1

Step-by-step explanation:

The given system of equations are :

2x - y + 3z= -1 ....(1)

x + 2y - 4z = -1 ......(2)

y – 2z = 0 .....(3)

Equation (3) can be written as :

y = 2z

Use y = 2z in equation (2)

x + 2(2z) - 4z = -1

x + 4z - 4z = -1

x = -1

Put the value of x in equation (1) :

-2 -y +3z = -1

-y+3z = 1 ....(4)

Adding equation (3) and (4)

y-2z+(-y+3z)=1

z = 1

Now put z = 1 in equation (4)

-y+3=1

-y = -2

y = 2

Hence, the values of x,y and z are -1, 2 and 1 respectively.

6 0

3 years ago

Identify the domain of the function shown in the graph.

kompoz [17]

Answer:

The answer is A choice.

Explanation:

By looking at the graph, we notice that at the left side, the domain/x-value stops at -5 and 5.

Thus, the domain is at the left end side to the right end side.

The domain stops at -5 on the left side and 5 on the right side. Thus the answer is

-5 < x < 5.

The A choice.

5 0

2 years ago

Read 2 more answers

Given the following functions f(x) and g(x), solve (f + g)(3) and select the correct answer below:

kati45 [8]

(f+g)(3) = f(3) + g(3) = 6(3) + 3 + 3 -7 = 18 +6 -7 = 17.

Answer: 17

8 0

3 years ago

Read 2 more answers