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weqwewe [10]
2 years ago
7

Dilations on coordinate plane algebraic representation

Mathematics
1 answer:
igomit [66]2 years ago
8 0

Answer:

When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor. For scale factor k, the algebraic representation of the dilation is (x, y) → (kx, ky)

Step-by-step explanation:

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Abdullah earns $10 an hour delivering newspapers on his bicycle . He started with $20 in his bank account. what is the rate and
elixir [45]

Explanation:

The equation for this problem can be modeled in y = mx + b form.

m represents the rate of change and b represents the initial value or constant.

y = 10x + 20

x represents the number of hours he spent delivering newspapers

y is his total money after whatever number of hours he worked

The rate is 10, because it determines how much money he earns for each hour.

The y-intercept is 20, representing the starting amount of money in his bank account.

6 0
2 years ago
Three more than the quotient of a number and 5 is equal to 9
mars1129 [50]

Answer:

The number is 30.

Step-by-step explanation:

x/5+3=9

x/5=9-3

x/5=6

x=6*5

x=30

7 0
3 years ago
Solve for h.<br> 15.3 + 1 h =1.3- 1 h
Iteru [2.4K]

Answer:

-7 = h

Step-by-step explanation:

15.3 + 1h = 1.3 - 1h

<u>         +1h          +1h</u>

15.3 + 2h = 1.3

Remember what you do to one side you MUST do to the other.

 15.3 + 2h = 1.3

<u>-15.3           -15.3</u>

2h = -14

Now to isolate the variable you divide both sides by 2 to get, h = -7

Hope that helps and have a great day!

6 0
2 years ago
Read 2 more answers
Determine the angles made by the vector v = (67)i + (-15)j with the positive x- and y-axes. write the unit vector n in the direc
vivado [14]
Consider the picture attached.

From right triangle trigonometry: 

tan(α)=(opposite side)/(adjacent side)=15/67=0.2239

using a scientific calculator we find that arctan(0.2239)=12.62°

thus α=12.62°, is the angle that the vector makes with the positive x-axis.

The angle made with the + y-axis is 12.62°+90°=102.62°.



The length of the vector v can be determined using the Pythagorean theorem:

|v|= \sqrt{ 67^{2} + 15^{2} }= \sqrt{4489+225}= \sqrt{4714}=68.8


Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8. 

This means that the x and y components will also be divided by 68.8, by proportionality.

So, the unit vector in the direction of v is:

<span>(67/68.8)i + (-15/68.8)j=0.97 i + (- 0.22)j
</span>

Answer: 12.62°;  102.62°;  0.97 i + (- 0.22)j

6 0
3 years ago
How long does a person going 10 mph (16 kph ) to go .6 miles
Olegator [25]

the answer will be 5

8 0
3 years ago
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