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Masteriza [31]
3 years ago
13

Which expression is equivalent to 2m^2 - m^2(7-m)+6m^2?

Mathematics
1 answer:
Lelu [443]3 years ago
3 0

Answer:

m^3+m^2

Step-by-step explanation:

=> 2m^2-m^2(7-m)+6m^2

Collecting like terms and expanding the brackets

=> 2m^2+6m^2-7m^2+m^3

=> 8m^2-7m^2+m^3

=> m^2+m^3

=> m^3+m^2

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Can anyone help me with these two plz
Evgen [1.6K]

Answer:

Part 1) The scale factor is 1.5

Part 2) The altitude QS is 4\ units

Part 3) The scale factor is \frac{2}{3}

Part 4) The value of x is 12\ units

Part 5) The perimeter of ABCDE is 46\ units

Step-by-step explanation:

Part 1) Find the scale factor of triangle TQR to triangle NQP

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

z=\frac{NP}{RT}

substitute the values

z=\frac{24}{16}=1.5

Part 2) Find the length of the altitude QS

we know that

To find the altitude QS, divide the altitude of triangle NQP by the scale factor

so

QS=\frac{6}{1.5}=4\ units

Part 3) Find the scale factor of FGHJK to ABCDE

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

z=\frac{AB}{FG}

substitute the values

z=\frac{10}{15}=\frac{2}{3}

Part 4) Find the value of x

we know that

The value of x is equal to multiply the length side FK by the scale factor

so

AE=FK(z)

substitute the values

AE=18(2/3)=12\ units

Part 5) Find the perimeter of ABCDE

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of ABCDE

y-----> the perimeter of FGHJK

z=\frac{x}{y}

we have

z=\frac{2}{3}

y=15+9+12+15+18=69\ units

substitute the values

z=\frac{x}{y}

x=(z)(y)=\frac{2}{3}(69)=46\ units

6 0
4 years ago
What is the value of x in the equation 2x+7=1
Lesechka [4]
First....we need to do inverse operation

Subtract 7 from both sides.

2x+7=1
    -7   -7

2x=-6

Now, we need to divide 2 by both sides to isolate x.

2x=-6
2x/2=-6/2
x=-3

Our final answer is that x= -3
3 0
3 years ago
Read 2 more answers
I need help for that..
Galina-37 [17]
5) 870 is 10 more than 860 
6) 782 is 100 less than 882 
7) 129 is 100 more than 29 
8) 333 is 100 less than 433 
4 0
3 years ago
A.
ser-zykov [4K]

Answer:

HEY BABE

Step-by-step explanation:

7 0
3 years ago
Shirley is decorating the gym for a party. She has 5 rolls of blue streamer and 9 rolls of green streamer.
aleksandrvk [35]

Answer:

rolls of blue streamer: 5×98=49

rolls of green streamer: 9×82=738

total rolls: 49+738=787

4 0
3 years ago
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