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3 years ago

A figure was translated 4 units down and 3 to the left then reflected over the y-axis. The figures are

Mathematics

2 answers:

NeX [460]3 years ago

8 0

B. Congruent but not similar because translation and reflection does not change the size or shape of the figure

Mumz [18]3 years ago

4 0

Answer:

Congruent and similar

Step-by-step explanation:

because you did not change anything about the shape that shape is still the same size and shape just in a different spot

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Find the midpoint of the segment with the following endpoints.<br> (4,2) and (7,6)

Tema [17]

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

$M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(4,2) and (7,6)

The midpoint is

$M = ( \frac{4 + 7}{2} \: , \: \frac{2 + 6}{2} ) \\ = ( \frac{11}{2} \: , \: \frac{8}{2} )$

We have the final answer as

$( \frac{11}{2} \: , \: 4)$

Hope this helps you

4 0

3 years ago

A medical researcher needs 37 people to test the effectiveness of an experimental drug. If 101 people have volunteered for the t

Rashid [163]

Answer:

The number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=\frac{n!}{k!\cdot (n-k)!}$

Compute the number of ways to select 37 people from 101 as follows:

${101\choose 37}=\frac{101!}{37!\cdot (101-37)!}$

$=\frac{101!}{37!\times 64!}\\\\=\frac{101\times 100\times 99\times....64!}{37!\times 64!}\\\\=5397234129638871133346507775$

Thus, the number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

5 0

3 years ago

Bryce has heard that gas appliances are cheaper to use and can lower utility costs. He is interested in purchasing a new gas sto

Bond [772]

Answer:

C. $29.20

Step-by-step explanation:

The difference between using an electric stove and a gas stove everyday is 13 cents - 5 cents= 8 cents.

Saving 8 cents everyday.

Therefore for a year, Bryce will save 8 cents × 365days = 2920 cents

Then 2920 cents = $(2920÷100)

=$29.20

4 0

3 years ago

Find the slope of the line passing through the points (-3,-8) and (5,6)

Mkey [24]

Slope is the change in Y over the change in X:

Slope = (6 - -8) / (5 - -3)

Slope = (6+8) / (5+3)

Slope = 14/8

Slope = 7/4

7 0

3 years ago

Read 2 more answers

Five times the sum of a number and 27 is greater than or equal to six times the sum of that num

stepladder [879]

Question:

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.

What is the solution set of this problem?

Answer:

$x \leq -21$

Step-by-step explanation:

Given

<em>Represent the number with x</em>

So:

$5 * (x + 27) \geq 6 * (x + 26)$

Required

Determine the solution set

$5 * (x + 27) \geq 6 * (x + 26)$

Open Both Brackets

$5 * x + 5 * 27 \geq 6 *x + 6 * 26$

$5x + 135 \geq 6x + 156$

Collect Like Terms

$5x - 6x \geq 156-135$

$- x \geq 21$

Multiply both sides by -1

$x \leq -21$

Hence, the solution set is $x \leq -21$

7 0

3 years ago