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cestrela7 [59]
2 years ago
13

Dilate the given points distance from the origin (x,y) (0.8x, 0.8y) . The point (-10,-20) becomes & point (15,25) become

Mathematics
1 answer:
dalvyx [7]2 years ago
8 0

Answer: The point (-10,-20) becomes (-8,-16) & point (15,25) becomes (12,20).

Step-by-step explanation:

When a point (x,y) is dilated by a scale factor k from the origin, then the new points become

(kx,ky).

The given rule of dilation : (x,y) →(0.8x, 0.8y)

The first point is (-10,-20), so its image will be

(-10,-20)\to (0.8\times-10,0.8\times-20)=(-8,-16)

So, the point (-10,-20)  becomes (-8,-16).

The second point is (15,25), so its image will be

(15,25)\to (0.8\times15,0.8\times25)=(12,20)

So, the point (15,25) becomes (12,20).

Hence, the point (-10,-20) becomes (-8,-16) & point (15,25) becomes (12,20).

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A)  9

Step-by-step explanation:

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3 years ago
The game of American roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wh
solong [7]

Answer:

a)- \frac{1}{19}

b) SD(x) =  0.9986

Step-by-step explanation:

Given data:

Number of slots 38

slots for red ball 18

slots for black = 18

slots for green 2

outcomes       Red      Black or Green

Profit                  1                 -1

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Expected value of wining,  

E(x) = 1. \frac{18}{38} + (-1) \frac{20}{38} = - \frac{2}{38} = - \frac{1}{19}

B) Standard deviation of winning SD(x)

SD(x) = \sqrt{(1- (-\frac{1}{19})^2 .\frac{18}{38} + (1- (-\frac{1}{19})^2 .\frac{20}{38}}

SD(x) = \sqrt{\frac{360}{361}

SD(x) =  0.9986

3 0
3 years ago
F(x)=2+3(2x+4)-8 is??
Vikki [24]

X = -6/5 I hope this helps

3 0
2 years ago
Ramonita measured the height of a tree to be 11 feet. One month later, she measured the tree to be 11.75 feet tall. Two months a
DedPeter [7]
Hi.

To formally answer your question:

D. y = 0.75<em>x</em> + 11

We can prove this by substituting <em>x</em> with 1 (the initial measurement)

y = 0.75(1) + 11 = 11.75

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3 0
3 years ago
12(6x + 10) + x = 9x + 5(1 – x) can u solve this?
Andreas93 [3]

Answer:

-115/69

Step-by-step explanation:

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x = -115/69

4 0
2 years ago
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