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Helga [31]
3 years ago
15

I need help with this problem please ​

Mathematics
1 answer:
Gwar [14]3 years ago
4 0

Answer:

  (a) reduction

  (b) 1/2

Step-by-step explanation:

The image figure A'B'C'D' is smaller than the original figure ABCD, so the dilation is a <em>reduction</em>.

Each of the points A'B'C'D' is half as far from the origin as the original points ABCD, so the scale factor is 1/2.

_____

Draw lines C'C and D'D. You will see they meet at the origin, which is the center of dilation. Then look at how far the points are along those lines. C' is one grid square diagonal along the line; C is 2 grid square diagonals along that line, so is twice as far from the origin. That is, C' is 1/2 the distance of C, so represents a reduction by a scale factor of 1/2.

The same distance considerations are observed along the line D'D. The point D' is the diagonal of a 2x1 rectangle from the origin (A distance of √5.) The point D is the diagonal of a 4x2 rectangle from the origin, so is twice as far. Once again D' is 1/2 the distance of D, so represents a reduction by a factor of 1/2.

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Jose has a policy with $50,000 PIP (Personal Injury Protection) coverage. He causes an
Nastasia [14]

Answer: $7200

Step-by-step explanation:

Given

The policy covers the damage of $50,000 PIP

He injured 10 people including himself

The total cost of injuries is $72,000

The cost per person is $7200

The company only pays for the damaged bear by the policyholder, not by the others.

\therefore the company only pays $7200 in coverage.

8 0
2 years ago
Brad wants to open a new savings account. He finds one that returns 3% on his investment each year.
Damm [24]

Answer:

1.03x

Step-by-step explanation:

1 year b would be the inital investment added with interest

i believe this is the equation

b = x + r(x)= (1 + r)x

and since it says 3% each year we know its 0.03 (r)

and when you solve it out you get that answer

4 0
3 years ago
Read 2 more answers
Do all ratios compare a part to a whole number? Explain
STALIN [3.7K]
Yes and no... 

A ratio can be defined in a new ways. Let's say I have a party with twelve people, four of whom are male and eight of whom are female. The ratio of male to female guests would be written as 4:8, neither of which is the whole number (12) but which instead relate parts of the whole. I could alternatively write the ratio of male guests to total guests as 4/12. This does compare it to the whole. A ratio relates two quantities by showing how many times one quantity is contained within or contains another quantity.

By the phrasing of your question, I'm not sure if you maybe mean whole number as an integer. If that's the case, then yes, ratios are almost always written as integers. If I had something like 8.5:7, I would multiply it by two to get 17:14, which is a correct ratio.
4 0
3 years ago
Consider the function RX) = 3x + 1 and the graph of the function g(x) shown below.
aleksandrvk [35]

Step-by-step explanation:

f(x) goes through the point (0, 1).

g(x) goes through (2, 1) for the same y value.

that means g(x) is f(x) translated 2 units to the right.

but we could also look at the same x value (0).

then g(x) goes through (0, -5).

and that means g(x) is f(x) translated 6 units down.

since it is a line function, shifting it left/right or up/down makes no difference to the shape or position of the new curve itself.

as it looks like you don't have 6 in the drop-down menu, then 2 units (to the right) is the desired correct result.

that means g(x) = f(x-2) = 3(x-2) + 1 = 3x - 6 + 1 = 3x - 5

and that is what the graph is showing us.

5 0
2 years ago
5( - 2)<br><br><br> ............................................
nata0808 [166]

Answer:

3 is ans

Step-by-step explanation:

1st remove 1st braket.then we know that + and - = -.....

so 5(-2)=5-2=3

8 0
3 years ago
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