What does it mean when a figure is dilated by a scale factor of 1/4

Mathematics

2 answers:

Harlamova29_29 [7]3 years ago

7 0

When a figure is dilated by a scale factor of 1/4 it means it is 1/4 the original size

docker41 [41]3 years ago

3 0

It means the figure is 1/4 the size of the original figure

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Using the Factor Theorem, which of the polynomial functions has the zeros 4, <img src="https://tex.z-dn.net/?f=%5Csqrt7" id="Tex

Serjik [45]

Answer:

Step-by-step explanation:

According to the Factor Theorem, if (x - a) is a factor (where a is a zero) of the polynomial P(x), then P(a) must equal zero.

Our zeros are 4, √7, and - √7. Hence, when evaluating P(4), P(√7), and P(-√7), all must evaluate to zero.

Testing each choice, we can see that only choice B is true. That is:

$\displaystyle \displaystyle \begin{aligned} f(4)&= (4)^3 - 4(4)^2 - 7(4) + 28 \\ &= (64) - (64) - (28) + 28 \\ &= 0 \stackrel{\checkmark}{=}0 \\f(\sqrt{7}) &= (\sqrt{7})^3 - 4(\sqrt{7})^2 - 7(\sqrt{7}) + 28 \\ &= (7\sqrt{7}) - (28) - (7\sqrt{7}) + 28 \\ &= 0 \stackrel{\checkmark}{=} 0\\ f(-\sqrt{7}) &= (-\sqrt{7})^3 - 4(-\sqrt{7})^2 - 7(-\sqrt{7}) + 28 \\ &= (-7\sqrt{7}) - (28) + (7\sqrt{7}) + 28 \\ &= 0 \stackrel{\checkmark}{=} 0 \end{aligned}$

In conclusion, our answer is B.

8 0

3 years ago

303 is what percent of 600?explain

notsponge [240]

303 is x% of 600

In math...
"is" means =
"of" means ×

303 = x% × 600
303 = 600x
303/600 = x
.505 = x

multiply by 100 to convert to percent (move decimal to the right 2 places).

.505 × 100 = 50.5%

303 is 50.5% of 600

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4 years ago

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max2010maxim [7]

Answer:

Step-by-step explanation:

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