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zhuklara [117]
3 years ago
15

What is the length, width, and area

Mathematics
1 answer:
Temka [501]3 years ago
4 0
Length: 6 Width: 2 Area: 12
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Square root of 75000
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The square root of 75000 is 273.86
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Whats the equation of a line perpendicular to y= 0.25x-7 and passes through (-6,8)
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y - 8 = 4(x + 6)
The slope perpendicular to 1/4 or .25 is 4.
Then you would use point slope form to write the equation.
Then you could simiplify the equation to y=4x+32.
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Write the equation for a 3rd degree polynomial function that has roots at x = 1–3i and x = 2. The y‑intercept is (0,10). Write a
HACTEHA [7]

Answer:

\displaystyle P(x)=-\frac{1}{2}(x^2+2x+10)(x-2)

Step-by-step explanation:

<u>Factored Form Of Polynomials </u>

If we know the roots of a polynomial as

\alpha _1,\alpha _2,\alpha _3

the polynomial can be expressed in factored form as

a(x-\alpha _1)(x-\alpha _2)(x-\alpha _3)

We are given two of the three roots of the polynomial:

\alpha _1=1-3i

\alpha _2=2

The other root must be the conjugate of the complex root:

\alpha _3=1+3i

Recall the product of two complex conjugate numbers is

(1-3i)(1+3i)=1^2-(3i)^2=1+9=10

The required polynomial is

P(x)=a\left[ x-(1-3i)\right ]\left[ x-(1+3i)\right ](x-2)

P(x)=a(x^2+2x+10)(x-2)

This is the factored form of the polynomial where only real numbers appear

We need to find the value of a, such as

P(0)=10

P(0)=a(0^2+2(0)+10)(0-2)=10

-20a=10

Thus the value of a is

\displaystyle a=-\frac{1}{2}

The expression of the required polynomial is

\boxed{P(x)=-\frac{1}{2}(x^2+2x+10)(x-2)}

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3 years ago
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11111nata11111 [884]

Answer:

5( 7+n)

Step-by-step explanation:

First find the sum

(7+n)

Then multiply by 5

5( 7+n)

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Represent the following expressions in exponential form​
Yakvenalex [24]

Answer:

You need to add the expressions. When you do I will edit my answer and give it to you.

8 0
3 years ago
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