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Crazy boy [7]
3 years ago
13

A translation is applied to the triangle formed by the points A(−1, 4) , B(−1, 10) , and C(3, 6) . The image is the triangle tha

t has vertices ​ A′(3, 4) ​, ​ B′(3, 10) ​​, and C′(7, 6) ​.
Mathematics
2 answers:
tester [92]3 years ago
8 0

Answer:

4 units to the right

Step-by-step explanation:

I took the test, good luck you guys!

kramer3 years ago
4 0

we have that

The coordinates of the pre-image and the image of the triangle are

A(-1,4)----->A'(3,4)

B(-1,10)----->B'(3,10)

C(3,6)----->C'(7,6)

so

The rule of the translation is

(x,y)-------> (x+4,y)

That means

The translation is 4 units to the right

therefore

<u>the answer is</u>

The translation is 4 units to the right


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The graph of y=x^3 is transformed as shown in the graph below. Which equation represents the transformed function?
S_A_V [24]
Y=(-x)^3-4 the last one hope this helped on time!! If u ever need help with this u can use the desomos calculator it’s perfect for graphing good luck!
4 0
1 year ago
. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 5, what is the probability that a person
bulgar [2K]

Answer:

2.28% probability that a person selected at random will have an IQ of 110 or greater

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 = 100, \sigma = 5

What is the probability that a person selected at random will have an IQ of 110 or greater?

This is 1 subtracted by the pvalue of Z when X = 110. So

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

Z = \frac{110 - 100}{5}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

2.28% probability that a person selected at random will have an IQ of 110 or greater

5 0
3 years ago
One of the legs of a right triangle measures 12 cm and the other leg measures 13 cm find the measure of the hypotenuse if necess
Amanda [17]

Answer:

17.7 cm

Step-by-step explanation:

One of the legs of a right triangle measures 12 cm and the other leg measures 13 cm find the measure of the hypotenuse if necessary round the nearest 10th

To find the Hypotenuse of a right angle triangle, we solve using Pythagoras Theorem

Hypotenuse ² = Opposite ² + Adjacent ²

Hypotenuse = √Opposite ² + Adjacent ²

Opposite = 12 cm

Adjacent = 13 cm

Hence,

Hypotenuse = √12² + 13²

= √144 + 169

= 17.691806013 cm

Approximately = 17.7 cm

Therefore, the measure of the Hypotenuse is 17.7 cm

6 0
3 years ago
Solve the following quadratic function
Leya [2.2K]

Answer:

x = ± 10

Step-by-step explanation:

to solve the equation let y = 0 , that is

100 - x² = 0 ( add x² to both sides )

100 = x² ( take square root of both sides )

± \sqrt{100} = x , that is

x = ± 10

8 0
2 years ago
How many times larger is 9 x 10000 to 5 x 1000
Whitepunk [10]
9 x 10,000 is B. 18 times larger than 5 x 1,000.

This can be found by simplying multiplying each pair of number (9 x 10,000 = 90,000) and ( 5 x 1,000 = 5,000) then dividing the smaller value (5,000) into the larger value (90,000). This will give you the answer of 18.

I hope this helps!
8 0
3 years ago
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