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ella [17]
2 years ago
5

Apply the distributive property to create an equivalent expression.

Mathematics
1 answer:
rjkz [21]2 years ago
6 0

Answer:

4x-8+4y

Step-by-step explanation:

We are given that an expression

4(x-2+y)

We have to find an equivalent expression using distributive property .

Distributive property:

a\cdot (b+c)=a\cdot b+a\cdot c

Using the property

4(x-2+y)=4(x-2)+4\cdot y

4(x-2+y)=4x+4(-2)+4y

4(x-2+y)=4x-8+4y

Hence, the equivalent expression  of the given expression is given  by

4x-8+4y

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Can you graph this equation - Y=3×^2
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Read 2 more answers
I need help with these two problems please
Debora [2.8K]

Problem 2

Plot point L anywhere that isn't on segment JK. Draw a line through point L. I find it helps to make the lines parallel.

Next, use a compass to measure the width of segment JK. Keeping this same width, transfer the nonpencil end of the compass to point L. Draw an arc that crosses the line through L.

Mark this intersection point M. Lastly, use a pen or marker to form segment LM and erase everything else of that line.

======================================================

Problem 3

The ideas of the previous problem will be used here. We copied segment JK to form congruent segment LM. So JK = LM.

The same steps will be used to form segment GN where GN = EF. In other words, segment GN is a perfect copy of segment EF.

If you repeat these steps again, you'll get another segment of the same length. This segment goes from point N to point H. So NH = GN = EF

Then we can say,

GH = GN + NH

GH = EF + EF

GH = 2*EF

7 0
3 years ago
The volume of a rectangular prism is 72 cubic centimeters. The prism is 2 centimeters wide and 4 centimeters high. What is the l
skelet666 [1.2K]

Answer:

The length of prism is  <u>9 centimetres</u>.

Step-by-step explanation:

Given:

The volume of a rectangular prism is 72 cubic centimeters.

The prism is 2 centimeters wide and 4 centimeters high.

Now, to find the length of prism:

Let the length be l.

Width = 2 centimeters.

Height = 4 centimeters.

Volume = 72 cubic centimeters.

So, putting the formula to get the length of prism:

Volume = length\times width\times height

72=l\times 2\times 4

72=l\times 8

Dividing both sides by 8 we get:

9=l

Length = 9 centimetres.

Therefore, the length of prism is  9 centimetres.

6 0
2 years ago
PLEASEEE HELP MEEEE<br><br>NO LINKSSS
Artemon [7]

Answer:

\huge\boxed{(2,\ 3);\ (-1,\ 6)}

Step-by-step explanation:

f(x)=x^2-2x+3\to y=x^2-2x+3\\f(x)=-x+5\to y=-x+5\\\\\left\{\begin{array}{ccc}y=x^2-2x+3&(1)\\y=-x+5&(2)\end{array}\right

substitute (1) to (2):

x^2-2x+3=-x+5     add x to both sides

x^2-2x+x+3=-x+x+5

x^2-x+3=5        subtract 5 from both sides

x^2-x+3-5=5-5

x^2-x-2=0\\\\x^2+x-2x-2=0\\\\x(x+1)-2(x+1)=0\\\\(x+1)(x-2)=0\iff x+1=0\ \vee\ x-2=0\\\\\boxed{x=-1\ \vee\ x=2}

substitute the values of x to (2):

x=-1\\\\y=-(-1)+5=1+5=6\\\\\huge\boxed{(-1,\ 6)}\\\\x=2\\\\y=-2+5=3\\\\\huge\boxed{(2,\ 3)}

3 0
2 years ago
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