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3 years ago

Simplify this expression using the distributive property.

Mathematics

2 answers:

Kruka [31]3 years ago

6 0

the answer is c: .... 72+8w

Trava [24]3 years ago

4 0

Answer:

The answer is option C.

Step-by-step explanation:

8(9+w)

Distribute the 8 to the 9 and the w:

9(8)+w(8)

Simplify:

72+8w

This cant be simplified further.

hope this helps :)

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A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two

Oliga [24]

Let

x-------> the length of the rectangle

y------> the width of the rectangle

we know that

The area of the rectangle is equal to

$A=x*y$

The area of the two congruent right triangles is equal to the area of the rectangle

$A=2*44=88\ in^{2}$

$88=x*y$ -------> equation A

$y=x-3$ -----> equation B

Substitute equation B in equation A

$x*[x-3]=88$

$x^{2} -3x-88=0$ --------> equation that can be used to solve for the length of the rectangle

Using a graph tool-------> solve the quadratic equation

see the attached figure

The solution is

$x=11\ in$ -----> the length of the rectangle

Find the value of y

$88=11*y$

$y=8\ in$ ----> the width of the rectangle

Statements

case A) The area of the rectangle is $88$ square inches

The statement is True

See the procedure

Case B) The equation $x*[x-3]=44$ can be used to solve for the dimensions of the triangle

The statement is False

Because, the equation $x*[x-3]=88$ can be used to solve for the dimensions of the triangle

case C) The equation $x^{2} -3x-88=0$ can be used to solve for the length of the rectangle

The statement is True

see the procedure

case D)The triangle has a base of $11$ inches and a height of $8$ inches

The statement is True

Because, the base of the triangle is equal to the length of the rectangle and the height of the triangle is equal to the width of the rectangle

case E) The rectangle has a width of $4$ inches

The statement is False

See the procedure

8 0

3 years ago

Read 2 more answers

Multiply 6/5 x 25/24.

Paha777 [63]

Answer:

5/4

Decimal Form:

1.25

Mixed Number Form:

1 and 1/4

8 0

3 years ago

-5g-3/h-3 + 7g+9/h-3 find the sum

Licemer1 [7]

-5g - 3/h-3 + 7g +9/h-3 = -5g + 7g -3/h-3 + 9/h-3 = 2g + (9 - 3)/(h-3) =
= 2g + 6/(h-3) if we want it as one fraction it would be:

2g + 6/(h-3) = [2g(h-3) + 6]/(h-3) = $\frac{2gh - 6gh + 6}{h-3}$

5 0

3 years ago

Carlos invests £4500 for 3 years.

Y_Kistochka [10]

Answer:

He is incorrect.

Step-by-step explanation:

4500 x ( 1 + 1.50%)^3

= 4500 x 1.045678

= 4705.551000

4705.551000 < 4750

3 0

3 years ago

Of the 200 students in the school, 79% can play an instrument. How many students cannot play

lozanna [386]

The number of students who can’t play is 42

7 0

3 years ago