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omeli [17]
3 years ago
5

You randomly choose one toy race car. What are the favorable outcomes of choosing a car that is not green?

Mathematics
1 answer:
s2008m [1.1K]3 years ago
4 0

Answer:

2/7

Step-by-step explanation:

I mean red and blue

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Area of Triangle =  1/2 * base * height

Area =  1/2 * 9 * 14 = 63

Area = 63 square inches
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3 years ago
Which statement best describes (3 × 4) × 6 = 3 × (4 × 6)?
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Find the point P on the line yequals=33x that is closest to the point (60 comma 0 )(60,0). What is the least distance between P
scoray [572]

Answer:

18\sqrt{10}$ units

Step-by-step explanation:

We are given the equation of the line y=3x and a point, say Q(60,0) outside of that line.

We want to find the point on the line y=3x which is closest to Q.

Let P(x,y) be the desired point. Since it is on the line y=3x, it must satisfy the line.

If x=a, y=3a, so the point P has the coordinates (a,3a).

Distance between point Q and P

=\sqrt{(60-a)^2+(0-3a)^2}\\D =\sqrt{10a^2-120a+3600}

To minimize D, we find its derivative

\dfrac{dD}{da}=\dfrac{10a-60}{\sqrt{10a^2-120a+3600} }\\$Setting \dfrac{dD}{da}=0\\10a-60=0\\10a=60\\a=6

Therefore, the y-coordinate for P is 3*6=18.

The point P=(6,18).

Next, we calculate the distance between P(6,18) and (60,0).

D =\sqrt{10(6)^2-120(6)+3600}\\=\sqrt{3240}\\=18\sqrt{10}$ units

8 0
4 years ago
Which line is a linear model for the data?
Simora [160]

Answer:

D.

Step-by-step explanation:

It would be best to first make sure the line follows the direction of the dots; immediately eliminating B & C.

Then you want to make sure that the estimated line is in the middle and near all of the dots in some way; leaving the final answer, D.

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Answer:I think it might be c

Step-by-step explanation:

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3 years ago
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