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Sunny_sXe [5.5K]

3 years ago

7

The point (x, y) is the top of a polygon. Which point would it map to if the polygon were reflected over the y-axis and then tra

nslated 6 units down?
a.) (-x, -y + 6)

b.) (-x, y - 6)

c.) (x, -y - 6)

d.) (-x + 6, -y)

1 answer:

Pachacha [2.7K]3 years ago

7 0

It’s either b or C because your going down.... but I think it’s B

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The base of a parallelogram is 18 inches longer than three times the height. The area of the parallelogram is 216 square inches.

nordsb [41]

Answer:

12 inches

Step-by-step explanation:

Let b represent the base

h represents the height

area of the parallelogram = base * height = 216 square inches

From the question'

b = 18 + 3h

Slot in the value of b

216 = (18 + 3h) * h

expand

216 = 18h + 3h^2

subtract 216 from both sides

0 = 18h + 3h^2 - 216

rearrange

3h^2 + 18h - 216 = 0

divide through by 3

h^2 + 6h - 72 = 0

Now, lets solve!

h^2 + 6h - 12h - 72 = 0

h( h + 6 ) - 12(h + 6) = 0

(h - 12) (h + 6) = 0

h - 12 = 0

h = 12

and

h + 6 = 0

h = - 6

Taking the positive value of h

Hence, the height is 12 inches

Lets check

when h = 12 inches

Area of the parallelogram = 18* 12 = 216 square inches .... correct

when h = -6inches

A = 18 * -6 ≠ 216 square inches

So height is 12 inches

5 0

3 years ago

Describe how the value of the independent variable is related to the value of the dependent variable. Is the relationship additi

n200080 [17]

The dependent value is determine by the value of the independent value. in other words, the dependent value is what you get when you take the independent value and substitute it in the original equation or situation. The relationship is multiplicative because you must first multiply the independent value in the equation where the x is before you can add or subtract to get your answer.<span />

4 0

3 years ago

Plz help ASAP thxs."..

Sliva [168]

Answer:

A

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Suppose that the length of a phone call in minutes is an exponential random variable with parameter λ = 1/ 8. If someone arrives

Elis [28]

Answer:

a) P=0.535

b) P=0.204

c) P=0.286

Step-by-step explanation:

The exponential distribution is expressed as

$F(x>t)=e^{-\lambda t}$

In this example, λ=1/8=0.125 min⁻¹.

a) The probability of having to wait more than 5 minutes

$F(x>5)=e^{-0.125*5}=e^{-0.625}=0.535$

b) The probability of having to wait between 10 and 20 minutes

$F(1020)=e^{-0.125*10}-e^{-0.125*20}\\\\F(10$

c) The exponential distribution is memory-less, so it is independent of past events.

If you have waited 5 minutes, the probability of waiting more than 15 minutes in total is the same as the probability of waiting 15-5=10 minutes.

$F(x>15|t^*=5)=F(x>15)/F(x>5)=\frac{e^{-0.125*15}}{e^{-0.125*5}}=e^{-0.125*(15-5)}\\\\ F(x>15|t^*=5)=e^{-0.125*(10)}=F(x>10)=0.286$

5 0

3 years ago

This is another trig question I need help with. Please explain how you do it to me I would appreciate it so much!!

Irina-Kira [14]

Answer:

He stepped back 59.71 feet.

Step-by-step explanation:

Start by making 2 triangles. One has 68 degrees as the acute angle at the base of the triangle and the other has 41 degrees as the acute angle at the base of the triangle. The side opposite of said angle on both triangles will be 80, the height of the tree. You're solving for the bottom (horizontal) side for both triangles.

For the triangle with an acute base angle of 68, the formula to solve for the horizontal side is tan(68) = 80/x.

Get x by itself to get 80/tan(68) = x

x = 32.32.

For the next triangle, the equation is the same but the angle is changed to 41.

tan(41) = 80/x

80/tan(41) = x

x = 92.03

Finally, subtract the smaller distance from the larger:

92.03 - 32.32 = 59.71 steps.

3 0

3 years ago