All categories

3 years ago

When completing the square, what value must you add to both sides of the equation to create a perfect square trinomial?

1 answer:

6 0

Notice that half of the coefficient of x is (1/2)(-4), or -2.

Then x^2 - 4x becomes
x^2 - 4x + 4 - 4 = 0, or (x -2)^2 = 4. Then x = -2 plus or minus 2, and the two roots are 0 and -4.

Thus, add 4 to both sides to obtain x^2 - 4x + 4 = 4.

You might be interested in

1. Anna was invited to prom by two different dates, Tyler and Max. She doesn't want to hurt anyone's feelings, so decides to mak

Delicious77 [7]

Answer:

Step-by-step explanation:

the dice are equal

4 0

3 years ago

Read 2 more answers

Is my answer actually incorrect and if so how?

mr Goodwill [35]

Answer:

B. 0.159

A = taking history class

B= taking sociology class

P(A) = 0.051

P(B) = 0.32

A ÷ B = $\frac{0.051}{0.32}$

= 0.159 Rounded the the nearest hundredth

5 0

2 years ago

HELP ASAP WILL MARK AS BRAINLIST IF YOU SOLVE 2 OF THESE QUESTIONS

BaLLatris [955]

Answer:

1. 175

2. 28

Step-by-step explanation:

If you're converting from another base, just multiply each digit, then add up the numbers:

ones digit × 8^0,

tens digit × 8^1

hundreds × 8^2

see image.

The second problem gives you a new operation. Follow the rule by squaring the first number and taking away the first×second. Do the parenthesis first!

see image.

4 0

2 years ago

Please please help me out

masya89 [10]

Answer: y = 3x + 1

Step-by-step explanation:

The equation is in Slope-Intercept format: y = mx + b where

m is the slope (difference in y's over difference in x's)
b is the y-intercept (value of y when x = 0)

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\\text{Let }(x_1,y_1)=(0,1)\quad \text{and}\quad \text{let }(x_2, y_2)=(1,4)\quad then\\\\m=\dfrac{4-1}{1-0}=\dfrac{3}{1}=3$

b = 1 refer to the table that shows y = 1 when x = 0

Now input m = 3 and b = 1 into the Slope-Intercept formula:

y = 3x + 1

8 0

2 years ago

Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are asfollows:S

Thepotemich [5.8K]

Answer and explanation:

Given : Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are as follows :

Strength Strength

High Low

High conductivity 74 8

Low conductivity 15 3

To find :

a) If a stand is randomly selected, the probability that is conductivity is high and its strength is high

The favorable outcome is 74

The probability is given by,

$P=\frac{74}{100}=0.74$

b) If a stand is randomly selected, the probability that its conductivity is low or strength is low

Conductivity is low A= 15+3=18

Strength is low B= 8+3=11

Conductivity is low and strength is low $A\cap B=3$

Probability is given by,

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

$P(A\cup B)=\frac{18}{100}+\frac{11}{100}-\frac{3}{100}$

$P(A\cup B)=0.18+0.11-0.03$

$P(A\cup B)=0.26$

c) Consider the event that a strand low conductivity and the event that the strand has a low strength. Are these tow events mutually exclusive?

Since the events the stand has low conductivity and the stand has low strength are not mutually exclusive, since there exists some cases in which both the events coincide. i.e. Intersection of both the events exists with probability 0.03.

8 0

3 years ago