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prisoha [69]
3 years ago
5

Triangle A′B′C′ is a dilation of ​triangle ABC​ about point P with a scale factor of 12. Is the dilation a reduction or an enlar

gement?
A. reduction
B. enlargement
Mathematics
2 answers:
sergiy2304 [10]3 years ago
7 0
Enlargement because it gets bigger
djyliett [7]3 years ago
4 0

Answer:

Enlargement

Step-by-step explanation:

If a scale factor is smaller than 1, it is a reduction, and if it's larger than 1, it's an enlargement.

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The ratio of the width to the length of a rectangle is 2:3, respectively. Answer each of the following. a By what percent would
Elina [12.6K]

Answer:

The percentage increase in Area of rectangle is 200%

Step-by-step explanation:

Given as :

The  ratio of the width to the length of a rectangle is 2:3

Let The length of rectangle = 2 x

Let The width of rectangle = 3 x

∵ Area of rectangle = length × width

So, A_1 = 2 x × 3 x

Or,  A_1  =  6 x²

<u>Again</u>

The increased length of rectangle = 2 x + 2 x = 4 x

The increase width of rectangle = 3 x + 50% of 3 x

I.e The increase width of rectangle = 3 x + 1.5 x = 4.5 x

∵ Increased Area of rectangle = increased length × increased width

Or,   A_2  = 4 x × 4.5 x  = 18 x²

So, The percentage increase in area = \dfrac{A_2 - A_1}{A_1} × 100

Or, The percentage increase in area = \frac{18 x^{2}-6x^{2}}{6x^{2}} × 100

Or , The percentage increase in area = \dfrac{12}{6} × 100

∴ The percentage increase in area  = 200

Hence, The percentage increase in Area of rectangle is 200% Answer

5 0
3 years ago
A portion of the graph of f(x) = −x2 − 10x − 21 is shown. Which of the following describes all solutions for f(x)? a partial par
Ket [755]

Answer:

the answer is A

Step-by-step explanation:

you pluy in each number for the portion of the function in the graphing calculator and get the answer

7 0
3 years ago
Read 2 more answers
Write a quadratic function whose zeros are -3 and -4
andreev551 [17]

Answer:

  f(x) = (x -(-3))(x -(-4))

Step-by-step explanation:

The function can be written as the product of binomial terms whose values are zero at the given zeros.

  (x -(-3)) is one such term

  (x -(-4)) is another such term

The product of these is the desired quadratic function. In the form easiest to write, it is ...

  f(x) = (x -(-3))(x -(-4))

This can be "simplified" to ...

  f(x) = (x +3)(x +4) . . . . simplifying the signs

  f(x) = x^2 +7x +12 . . . . multiplying it out

6 0
3 years ago
A city of 6,688 has an area of 16 square miles. What is the population density of the city?
Ahat [919]
To find population density, it is population / area.

The population is 6688, divided by the area of 16.

6688/16 = 418

So the population density is 418 people per sq mile.
7 0
3 years ago
Solve the equation 4(x-5)=2x-14
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4x-20=2x-14
-2x. -2x
2x-20=14
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— —
2 2
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Therefore x=17
5 0
3 years ago
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