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3 years ago

Which of the following expression is equal to -3x^2-12?

1 answer:

7 0

$i=\sqrt{-1}\to i^2=-1\\\\-3x^2-12=-3(x^2+4)=-3(x^2+2^2)=-3(x^2-(-2^2))\\\\=-3(x^2-(-1\cdot2^2))=-3(x^2-(i^2\cdot2^2))=-3(x^2-(2i)^2)\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=-3(x-2i)(x+2i)\\\\\text{use distributive property}\\\\=\boxed{(-3x+6i)(x+2i)}\to\boxed{a.}$

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What is the surface area of the rectangular prism? 155 in²

Tpy6a [65]

A. 504 in2 B. 396 in2 C. 312 ... ... A. 155 in2 B. 270 in2 C. 300 in2 D. 310 in2 H=15 l=5 w=4 ... The formula for the rectangular prism surface area is 2(wl+hl+hw).300 in2

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3 years ago

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The area of a square window is 0.25 square meter. How long is each side of the window in meters? *

mart [117]

Answer:

o.25

Step-by-step explanation:

Because a square has equal sides so all sides have to be 0.25

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3 years ago

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A company's stock begins the week with a price of $43.85 per share. THe price changes by +$2.70 each day for the first two days,

mixas84 [53]

Given:

Initial price of the stock=$43.85

Change for the first two days=+$2.70

Change for next two days=-$1.10

Last day=-$4.45

The objective is to find the price at the last day.

Let's take the price at final day as x.

$\begin{gathered} x=43.85+2.70+2.70-1.10-1.10-4.45 \\ x=42.6 \end{gathered}$

Hence, the price of the stock at the last day is $42.6

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1 year ago

A toy is shaped as a triangular prism. The toy has a

Anettt [7]

Answer:

$\huge\boxed{\sf h = 6.75 \ in.}$

Step-by-step explanation:

Given Data:

Base area = $A_{B}$ = 108 in.²

Volume = V = 729 in.³

Required:

Height = h = ?

Formula:

$V=A_{B}h$

Solution:

For h, rearranging formula:

$\displaystyle h = \frac{V}{A_{B}} \\\\h =\frac{729 \ in.^3}{108 \ in.^2} \\\\h = 6.75 \ in.\\\\\rule[225]{225}{2}$

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2 years ago

The correlation coefficient for the ages of drivers in a driver safety class and the number of traffic violations they have rece

Doss [256]

A correlation coefficient is always a value in between -1 and 1
The closest a coefficient to -1, the correlation is a strong negative correlation
The closest a coefficient to 1, the correlation is a strong positive correlation
The closest a coefficient to 0, there is no correlation at all

The coefficient -0.61 shows a strong negative correlation
This means that the relationship between the age and the violation is an inverse relationship; as age increases, violation decreases

Answer: option C

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3 years ago