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3 years ago

What is the midpoint between (-5,4) and (-6,7)

Mathematics

1 answer:

just olya [345]3 years ago

8 0

(-5.5,5.5)
You need to average -5 and -6
And 7 and 4

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Gena wants to estimate the quotient of –21.87 divided by 4.79. Which expression shows the best expression to estimate the quotie

ehidna [41]

Answer: -20 divided by 4.

Step-by-step explanation: I'm also doing this. I also don't really want to answer daily.

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3 years ago

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Write an expression for the sequence of operations described below.

NeX [460]

Answer:

(7+z) - y

Step-by-step explanation:

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2 years ago

A drum full of rice weighs 241/6 kg. If the empty drum weighs 55/4 kg, find the weight of rice in the drum.

gregori [183]

Let x be rice weight

241/6 - 55/4 = x

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1 year ago

If an original quantity is 12, and the new quantity is 15, what is the percent increase?

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Step-by-step explanation:

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3 years ago

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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

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

5 0

2 years ago