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leonid [27]
4 years ago
10

X(2x + 4x^2 -5 -3x) , use distributive property to write an equivalent expression in standard form.

Mathematics
1 answer:
Finger [1]4 years ago
3 0

Answer:

4x^3-x^2-5x

Step-by-step explanation:

Let a,b,c,d\in \mathbb R, then the distributive property states that:

a(b+c+d+e)=ab+ac+ad+ae

The given expression is x(2x+4x^2-5-3x)

We apply the distributive property to get:

2x*x+4x^2*x-5*x-3x*x)

2x^2+4x^3-5x-3x^2

Combine like terms

4x^3-5x-3x^2+2x^2

Simplify:

4x^3-5x-x^2

Write in descending powers of x.

4x^3-x^2-5x....This is the standard form

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Andre owned a 1/4 acre lot. He wanted to construct a 120’ x 80’ tennis court on the lot. How many square feet will remain uncove
OLga [1]

The area of the tennis court is computed by multiplying the dimensions given,

                               A = 120' x 80'

                               A = 9600 ift


Then, we convert the area in ft² to acres,

                       A = (9600 in²)(2.3 x 10^-5/ 1 in²)

                           A = 0.24 acre


The portion of land remaining is,

                  A of remaining = 0.25 acre - 0.24 acre

                                           = 0.1 acre


The remaining portion is for Andre's studies.


This, 0.1 ft² is equal to the 4% of the given area of the court. 

3 0
3 years ago
The edges of the diameter of a circle are at (-1,2) and (3,-1). Write the equation of the circle in general form.
Y_Kistochka [10]

Answer:

(x-1)²+ (y-0.5)²=6.25

Step-by-step explanation:

<u>The standard form of equation of a circle is;</u>

(x-a)²+(y-b)²=r² where (a,b) are the center of the circle and r is the radius

<u>Finding the mid-point of the given points</u>

(-1,2) and (3,-1)⇒midpoint will be 1/2(x₁+x₂) , 1/2(y₁+y₂)

midpoint= {1/2(-1+3), 1/2(2+-1)}

midpoint=(1,0.5)

<u>Finding the radius r; the distance from the center to either of the given two points</u>

Apply the distance formula d=√ (x₂-x₁)² +(y₂-y₁)²

Taking (x₁,y₁) as (1,0.5) and (x₂,y₂) as (-1,2) then

d=√ (-1-1)² +(2-0.5)²

d= √ (-2)²+(1.5)²

d=√4+2.25⇒√6.25⇒2.5

r=2.5

<u>Equation of the circle</u>

(x-1)² + (y-0.5)²=2.5²

(x-1)²+ (y-0.5)²=6.25

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3 years ago
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How do you find the area of an inscribed polygon??
Marta_Voda [28]

Answer:

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Step-by-step explanation:

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4 years ago
9TH GRADE FUNCTIONS PLEASE HELP
pantera1 [17]

Answer: g(x) is -x² -3

Step-by-step explanation:

First, you know that the parabola is facing downwards, so the x must be negative.

Next, it is 3 units down from the parent graph, which adds that -3.

All of these add up to get your final equation:

g(x) is -x² -3

6 0
4 years ago
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