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Reika [66]
3 years ago
15

In the xy-coordinate plane shown, line L passes through point C and has a slope of -2. A dilation of line L with center A and a

scale factor of 3 will produce a new through point C’, the image of point C with coordinates

Mathematics
1 answer:
a_sh-v [17]3 years ago
4 0

Answer:

Step-by-step explanation:

Dilation of a line about a point not on the line shifts the line but leaves the slope intact .

New line slope will be -2

As both A and C lie on a horizontal line y = 2, C' will also lie on the same line

The distance between A and C is 0 - 2 = -2

a scale factor of 3 means C' is -2(3) = -6 units left of A

C' = (2 - 6, 2) = (-4. 2)

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Eugene walked all the way to school at 3 mph then realized she forgot her math book (how could she?!), so she ran back at 7 mph.
Fynjy0 [20]

\text{Answer: }1\frac{23}{40}\ miles\text{ far she live from school.}

Explanation:

Since we have given that

Speed at which Eugene walked all the way to school = 3 mph

After realizing that she forgot her math book, she ran back

Speed at which Eugene walked back to her house = 7 mph

Let the distance between her house and her school be x

According to question,

\frac{x}{3}+\frac{x}{7}=\frac{45}{60}\\\\\frac{7x+3x}{21}=\frac{3}{4}\\\\\frac{10x}{21}=\frac{3}{4}\\\\x=\frac{3\times 63}{4\times 10}=\frac{63}{40}=1\frac{23}{40}\ miles.

Hence,

1\frac{23}{40}\ miles\text{ far she live from school.}

8 0
3 years ago
Please help if possible due in 20 minutes ❤️❤️<br><br> f(x) = x2. What is g(x)?
otez555 [7]

Answer:

c. g(x)=(1/2x^2)

Step-by-step explanation:

3 0
2 years ago
I’ll give Brainliest please help
Strike441 [17]

Answer:

Sirius will be 20 years old and his father will be 40 years old. ratio form: 20:40

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
Given the function, d(t) = 50t, the variable t represents which of the following? Select all that apply. input output function i
Nikitich [7]

Answer:

Input

Independent variable

Step-by-step explanation:

we know that

<u>Independent variables</u>, are the values that can be changed or controlled in a given model or equation

<u>Dependent variables</u>, are the values that result from the independent variables

we have the function

d(t)=50t

In this problem

This is a proportional relationship between the variables d and t

The function d(t) represent the dependent variable or the output

The variable t represent the independent variable or input

5 0
3 years ago
Read 2 more answers
You are asked to do a study of shelters for abused and battered women to determine the necessary capacity in your city to provid
ohaa [14]

Answer:

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

274 shelters will be needed.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 250, \sigma = 75

If the city’s shelters have a capacity of 350, will that be enough places for abused women on 95% of all nights?

What is the percentile of 350?

This is the pvalue of Z when X = 350.

Z = \frac{X - \mu}{\sigma}

Z = \frac{250 - 150}{75}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082.

Using the normal probability distribution, with a capacity of 350, it is enough for all abused on 90.82% of nights.

If not, what number of shelter openings will be needed?

The 95th percentile, which is X when Z = 1.645. So

Z = \frac{X - \mu}{\sigma}

1.645 = \frac{X - 150}{75}

X - 150 = 1.645*75

X = 274

274 shelters will be needed.

5 0
3 years ago
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