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3 years ago

13

Which of the following represents a correct step in completing the square for the equation 4x^2+8x=-16?

1 answer:

SCORPION-xisa [38]3 years ago

7 0

I think the answer would be A.

You might be interested in

What is the equation of the line in point-slope form?

evablogger [386]

Answer:

$y +500 = -\frac{1}{5}(x - 100)$

Step-by-step explanation:

Given

The attached graph

Required

Determine the equation in point slope form

From the graph, we have the following points;

$(x_1,y_1) = (-400,-400)$

$(x_2,y_2) = (100,-500)$

First, we calculate the slope (m):

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{-500 - (-400)}{100- (-400)}$

$m = \frac{-500 +400}{100+400}$

$m = \frac{-100}{500}$

$m = -\frac{1}{5}$

The equation is then calculated using:

$y - y_2 = m(x - x_2)$

Substitute x and y values

$y - (-500) = -\frac{1}{5}(x - (100))$

$y +500 = -\frac{1}{5}(x - 100)$

8 0

3 years ago

Pls help thank you :)

Nastasia [14]

12 m is the area! hope i could help

5 0

3 years ago

Read 2 more answers

Let Y be a random variable with a density function given by

Neporo4naja [7]

From the given density function we find the distribution function,

$F_Y(y)=P(Y\le y)=\displaystyle\int_{-\infty}^y f_Y(t)\,\mathrm dt=\begin{cases}0&\text{for }y$

(a)

$F_{U_1}(u_1)=P(U_1\le u_1)=P(3Y\le u_1)=P\left(Y\le\dfrac{u_1}3\right)=F_Y\left(\dfrac{u_1}3\right)$

$\implies F_{U_1}(u_1)=\begin{cases}0&\text{for }u_1$

$\implies f_{U_1}(u_1)=\begin{cases}\frac{{u_1}^2}{18}&\text{for }-3\le u_1\le3\\0&\text{otherwise}\end{cases}$

(b)

$F_{U_2}(u_2)=P(3-Y\le u_2)=P(Y\ge3-u_2)=1-P(Y$

$\implies F_{U_2}(u_2)=\begin{cases}0&\text{for }u_2$

$\implies f_{U_2}(u_2)=\begin{cases}\frac32(u_2-3)^2&\text{for }2\le u_2\le4\\0&\text{otherwise}\end{cases}$

(c)

$F_{U_3}(u_3)=P(Y^2\le u_3)=P(-\sqrt{u_3}\le Y\le\sqrt{u_3})=F_Y(\sqrt{u_3})-F_y(\sqrt{u_3})$

$\implies F_{U_3}(u_3)=\begin{cases}0&\text{for }u_3$

$\implies f_{U_3}(u_3}=\begin{cases}\frac32\sqrt u&\text{for }0\le u\le1\\0&\text{otherwise}\end{cases}$

5 0

3 years ago

PLEASE HELP WILL MARK BRAINLIEST!!

Gre4nikov [31]

Answer:

Explanation below.

Step-by-step explanation:

1. a. $\sqrt{x} =12$

b. $\sqrt{x} ^{2}=12^{2}$

c. x=144

2. a. $\sqrt{x^{2} } =\sqrt{196}$

b. x= 14

3.

$\sqrt{x} -4 +4= 8+4\\\sqrt{x} =12\\x= 3.46410161514 \\or \\2\sqrt{3}$

4.

$2(x^{2} +3)=398\\x^{2} +3= 199\\x^{2} =196\\x=14$

7 0

3 years ago

Read 2 more answers

1. If a - b = 4 and a + b = 12, what is the<br> value of a?

Marta_Voda [28]

A=8

Explanation: a+b=12 a-b=4
^^^^^^^ ^^^^^^
8+4=12 8-4=4
A=8

8 0

3 years ago