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Goryan [66]
3 years ago
8

Given the vertices of ∆ABC are A (2,5), B (4,6) and C (3,1), find the vertices following each of the

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
7 0
The triangle ABC is shown in the diagram below

Part a)
R(x-axis) is the reflection of triangle ABC on the x-axis. The new coordinates is given as A' (2, -5), B' (4, -6), and C' (3, -1)

Part b) 
R(y=3) is the reflection of triangle ABC on the line with equation y=3.
The new coordinates are A' (2, 1), B' (4, 0), and C' (3, 5)

Part c)
T(-2, 5) is the translation of triangle ABC two units left and five units up. The new coordinates are A'(0, 10), B' (2, 11), and C'(1, 6)

Part d)
T(3, -6) is the translation of triangle ABC three units right and six units down. The new coordinates are A'(5, -1), B'(7, 0), and C'(6, -5)

Part e)
r(90°, 0) is the rotation of triangle ABC on the origin by 90° clockwise. The new coordinates are A'(5, -2), B'(6, -4) and C'(1 -3)


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HELP THIS IS WORTH 40 POINTS Lucy has a jewelry business. To make a certain necklace, she spends $3.38 on materials and $5.57 on
ankoles [38]
A.) If Lucy sells 1 necklace, her sales would equal to $15.99. Then her profit would be:

Profit = $15.99 - $3.38(1) - $5.57(1)
Profit = $7.04

The fraction of the sale price of the necklace in profit is denoted as x.

15.99x = 7.04
x = 704/1559

b.) This is the same as part (a) but in decimal form. Just simply divide 704 by 1559. The answer is 0.44

c.) If Lucy's sales is $223.86 and each necklace costs $15.99, then the number of necklaces sold is $223.86 ÷ $15.99/necklace = 14 necklaces

Her profit for the 14 necklaces sold would be:

$223.86 - $3.38(14) - $5.57(14) = $98.56
7 0
3 years ago
Read 2 more answers
It says it in the image please help me
r-ruslan [8.4K]

Answer:

The answer you have selected should be correct.

6 0
3 years ago
The feet of the average adult woman are 24.6 cm long, and foot lengths are normally distributed. If 16% of adult women have feet
nevsk [136]

Answer:

Approximately 16% of adult women have feet longer than 27.2 cm.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The feet of the average adult woman are 24.6 cm long

This means that \mu = 24.6

16% of adult women have feet that are shorter than 22 cm

This means that when X = 22, Z has a p-value of 0.16, so when X = 22, Z = -1. We use this to find \sigma

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

-1 = \frac{22 - 24.6}{\sigma}

-\sigma = -2.6

\sigma = 2.6

Approximately what percent of adult women have feet longer than 27.2 cm?

The proportion is 1 subtracted by the p-value of Z when X = 27.2. So

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

Z = \frac{27.2 - 24.6}{2.6}

Z = 1

Z = 1 has a p-value of 0.84.

1 - 0.84 = 0.16

0.16*100% = 16%.

Approximately 16% of adult women have feet longer than 27.2 cm.

3 0
3 years ago
A single cell can either die, with probability0.1, or split into two cells, withprobability0.90, producing a new generation of c
Finger [1]

Answer: The probability distribution for the number of cells in the third generation is a Binomial distribution.

Step-by-step explanation:

We use binomial distribution when we have repeated process and the outcome is either a success or a failure.

The probability of success. P ( probability of dying). The probability of failure q ( probability of splitting into two).

The formula for binomial distribution is : n combination x multiplied by p raised to power x multiplied by q raised to power n-x.

3 0
3 years ago
If a system of linear equations has no solution, then ______.
adelina 88 [10]

Answer:

Answer. Answer: A system of linear equation has no solution when the graphs are parallel.Step-by-step explanation:

4 0
2 years ago
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