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3 years ago

Hello, happy Friday, I am just here with some geometry questions.

Mathematics

1 answer:

klasskru [66]3 years ago

4 0

Answer:

U'(-14, 8)

Step-by-step explanation:

<u>The transformations include:</u>

T<-2,2>·D3

This is a dilation by a scale factor of 3 and then translation 2 units left and 2 units up.

<u>The transformation applied to the point U:</u>

U(-4,2) → U'(-4*3 - 2, 2*3 + 2) = U'(-14, 8)

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1.8 minus 3.7 x = negative 4.2 x + 0.3?

AVprozaik [17]

Combine like terms. First, add 4.2x to both sides. This results in 1.8+0.5x = 0.3, and then 0.5x = 0.3-1.8.

Next, 0.05x = -1.5, or 5x = -150, and x = -30.

Must check this result by substitution of -30 for x in the original equation.

Is 1.8-3.7(-30)=-4.2(-30)+0.3 true or false?

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3 years ago

Determine the equation of the inverse of y = 7x + 2

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4 years ago

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3 years ago

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A highly selective boarding school will only admit students who place at least 1.5 z-scores above the mean on a standardized tes

Butoxors [25]

Answer:

An applicant must score a minimum of 128

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To solve this question, we make use of the z-score formula.

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3 years ago

Find a polynomial function of lowest degree with real coefficients having zeroes of 2 and -Si (Show all work to earn credit.)

antoniya [11.8K]

Answer: The required polynomial of lowest degree is $p(x)=x^3-2x^2+25x-50$

Step-by-step explanation: We are given to find a polynomial function of lowest degree with real coefficients having zeroes of 2 and -5i.

We know that

if x = a is a zero of a real polynomial function p(x), then (x - a) is a factor of the polynomial p(x).

So, according to the given information, (x - 2) and ( x + 5i) are the factors of the given polynomial.

Also, we know that complex zeroes occur in conjugate pairs, so 5i will also be a zero of the given polynomial.

This implies that (x - 5i) is also a factor of the given polynomial.

Therefore, the polynomial of lowest degree (three) with real coefficients having zeroes of 2 and -5i is given by

$p(x)=(x-2)(x+5i)(x-5i)\\\\\Rightarrow p(x)=(x-2)(x^2-25i^2)\\\\\Rightarrow p(x)=(x-2)(x^2+25)\\\\\Rightarrow p(x)=x^3-2x^2+25x-50$

Thus, the required polynomial of lowest degree is $p(x)=x^3-2x^2+25x-50$

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4 years ago