A(x)=(2x-5)(x+1)-(5x-3)(2x-5)

Answers

Answer 1

Answer:

Answer:

-8x² + 28x - 20

Step-by-step explanation:

To simplify the expression A(x) = ( 2x - 5 )( x + 1 ) - ( 5x - 3 )( 2x - 5 ), you can start by using the distributive propertyto expand both sets of parentheses and then combine like terms:

A ( x ) = ( 2x - 5 ) ( x + 1 ) - ( 5x - 3 ) ( 2x - 5 )

Expand the first set of parentheses.

( 2x - 5 ) ( x + 1 )

2x ( x ) + 2x ( 1 ) - 5 ( x ) - 5 ( 1 )

2x² + 2x - 5x - 5

Now, expand the second set of parentheses.

( 5x - 3 ) ( 2x - 5 )

5x ( 2x ) + 5x ( -5 ) - 3 ( 2x ) - 3 ( -5 )

10x² - 25x - 6x + 15

Now, let's combine like terms within each part.

2x² + 2x - 5x - 5 - ( 10x² - 25x - 6x + 15)

Distribute the negative sign to both terms in the second parentheses.

2x² + 2x - 5x - 5 - 10x² + 25x + 6x - 15

Combine like terms in the entire expression.

( 2x² - 10x² ) + ( 2x - 5x + 25x + 6x ) + ( -5 - 15 )

Simplify further.

-8x² + 28x - 20

∴ A ( x ) = -8x² + 28x - 20

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Sam is determining the area of a triangle. In this triangle, the value for the height is a terminating decimal, and the value for the base is a repeating decimal. What can be concluded about the area of this triangle?

Answers

The area of the triangle is a rational number,
since both its base and its height are.

Answer:

Step-by-step explanation:

edge2020

Heather built a geometrically similar model of the great pyramid. The height of the actual pyramid is approximately 147 meters. Heathers model is 98 millimeters in height. The width of the base of the actual pyramid is 231 meters. Which measurement is closest to the width of the base of Heathers model?

Answers

Answer:

154 millimeters

Step-by-step explanation:

Answer:

154

Step-by-step explanation:

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Find the value of the variables for each set or similar figures

Answers

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Step-by-step explanation:

Sum of the ages of a father and the son is 40 years. If father's age is 3 times that of his son, then father's age is ________ * 2 points 35 40 30 45

Answers

Answer:

Step-by-step explanation:

Sum of ages= 40

Let the sons age be x

Fathers age = 3 times x or ,3x

So 3x+x=40

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Which number line correctly shows 1.5+2.5?

Answers

Answer:

The first one!

Step-by-step explanation:

Answer:

A correctly displays the number.

Step-by-step explanation:

D= 11/5(p-15)

solve for p.

Answers

Answer: The required solution for p is $p=(11+75D)/(5D).$

Step-by-step explanation: We are given to solve the following equation for the unknown variable p :

$D=(11)/(5(p-15))~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To solve the given equation for p, we must find the value of p in terms of D.

From equation (i), we have

$D=(11)/(5(p-15))\n\n\n\Rightarrow D=(11)/(5p-75)\n\n\n\Rightarrow D(5p-75)=11\n\n\Rightarrow 5Dp-75D=11\n\n\Rightarrow 5Dp=11+75D\n\n\Rightarrow p=(11+75D)/(5D).$

Thus, the required solution for p is $p=(11+75D)/(5D).$

D=11/5p-33
11/5p=D+33
p=5/11D+15

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