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Lemur [1.5K]
3 years ago
6

Simplify the expression: 4(5 - n) + 10n ​

Mathematics
1 answer:
irinina [24]3 years ago
3 0

Answer: 6n+20

<u>Distribute</u>

<u></u>(4)(5)+(4)(-n)+10n\\20+-4n+10n<u></u>

<u></u>

<u>Combine Like Terms</u>

<u></u>20+-4n+10n\\(-4n+10n)+(20)\\6n+20<u></u>

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What set of transformations could be applied to rectangle ABCD to create A″B″C″D″? 'Rectangle formed by ordered pairs A at negat
CaHeK987 [17]

Answer:

Reflection over the y-axis and rotation of 180°

Step-by-step explanation:

We have,

Rectangle ABCD with co-ordinates A(-4,2), B(-4,1), C(-1,1) and D(-1,2).

It is transformed to a new rectangle A'B'C'D' with co-ordinates A'(-4,-2), B'(-4,-1), C'(-1,-1) and D'(-1,-2).

The graph of both the triangles is shown below.

we see that,

The rectangle ABCD is reflected about y-axis and then rotated 180° to obtain A'B'C'D'.

                     Reflected about y-axis                     Rotation of 180°

A= (-4,2)                     (4,2)                                              A'= (-4,-2)

B= (-4,1)                      (4,1)                                                B'= (-4,-1)

C= (-1,1)                       (1,1)                                                 C'= (-1,-1)

D= (-1,2)                      (1,2)                                                 D'= (-1,-2)

Hence, the second rectangle is formed by: Reflection over the y-axis and rotation of 180°.

5 0
2 years ago
Read 2 more answers
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2 years ago
What is the slope of a line perpendicular to the line whose equation is
jonny [76]

Answer:

- \frac{1}{2}

Step-by-step explanation:

How do we find the line that's perpendicular to another?

We find the negative reciprocal. So for example if our slope is 2, the negative reciprocal would be - \frac{1}{2}.

3 0
3 years ago
Patty is making a poster for science class. She spends. 50 minutes on each. Of 2 days. She completes 1/3 of the poster the first
Viktor [21]

Answer:

She has completed 2/3 of the poster

Explanation:

1/3 of the poster the first day

+

1/3 of the poster the next day

1/3 + 1/3 = 2/3

7 0
2 years ago
In 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B. If 70 houses wer
Stella [2.4K]

Answer:

The number of houses built in Town B is 56.

Step-by-step explanation:

We are given that in 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B.

Also, 70 houses were built in Town A during 210.

Let the number of houses built in Town B be 'x'.

So, according to the question;

Number of houses built in Town A = Number of houses built in Town B + 25% of the houses built in Town B

70 = x + (25\% \times x)

70 = x(1+0.25)

x=\frac{70}{1.25}

x = 56

Hence, the number of houses built in Town B is 56.

8 0
2 years ago
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