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2 years ago

Given the point and its image, determine the scale factor. B(2,5) B'(1,2.5) 0 -1/2 02 0-2 O 1/2

Mathematics

1 answer:

fiasKO [112]2 years ago

7 0

Given:

The point is B(2,5) and its image is B'(1,2.5).

To find:

The scale factor.

Solution:

If a figure is dilated by the scale factor k and (0,0) is the center of then the scale factor is defined as

$k=\dfrac{\text{x-coordinate of the point on image}}{\text{x-coordinate of the corresponding point on the original figure}}$

x-coordinate of point B' is 1 and the x-coordinate of point B is 2. So, the scale factor is

$k=\dfrac{1}{2}$

Therefore, the scale factor is $\dfrac{1}{2}$ and the correct option is D.

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Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the

Rama09 [41]

Question:

Britney throws an object straight up into the air with an initial velocity of 27 ft/s from a platform that is 10 ft above the ground. Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the object to hit the ground?

1s 2s 3s 4s

Answer:

It takes 2 seconds for object to hit the ground

Solution:

The given equation is:

$h(t) = -16t^2 + v_0t+h_0$

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$h_0 = 10\ feet$

Therefore,

$h(t) = -16t^2 +27t+10$

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$-16t^2 +27t+10 = 0\\\\16t^2-27t-10=0$

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$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=16,\:b=-27,\:c=-10:\quad \\\\t=\frac{-\left(-27\right)\pm \sqrt{\left(-27\right)^2-4\cdot \:16\left(-10\right)}}{2\cdot \:16}\\\\t = \frac{27 \pm \sqrt{1369}}{32}\\\\t = \frac{27 \pm 37}{32}\\\\We\ have\ two\ solutions\\\\t = \frac{27+37}{32}\\\\t = \frac{64}{32}\\\\t = 2\\\\And\\\\t = \frac{27-37}{32}\\\\t = -0.3125$

Ignore, negative value

Thus, it takes 2 seconds for object to hit the ground

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3 years ago

The length if Sally's garden is 4 meters greater than 3 times the width. The perimeter of her garden is 72 meters. Find the dime

ololo11 [35]

Answer: So lets say that the width is w. The length(L) is 4 meters greater than 3 times the width. 3 times the width would be 3w, and then 4 meters greater than that would be 3w+4. You have two widths and two lengths to a rectangle that must add up to equal 72. So 2w + 2L =72. But remember that one L equals 3w+4

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3 years ago

Given the point and its image, determine the scale factor. B(2,5) B'(1,2.5) 0 -1/2 02 0-2 O 1/2​

Given the point and its image, determine the scale factor. B(2,5) B'(1,2.5) 0 -1/2 02 0-2 O 1/2