Mathematics High School

If you were to use the “Completing the Square” method to solve the equation below for k, what number would you add to both sides of the equation? k 2- 8k = -4
A) 16
B) –16
C) 24
D) –24

Answers

Answer 1

Answer:

The number you would add to both sides of the equation to use the "Completing the Square" method would be 16.

Step-by-step explanation:

To find the number to add to both sides of an equation to complete the square, divide the first-degree term's coefficient by 2 and square your remainder. In this case, the coefficient of the first-degree term is -8. After dividing by 2 and squaring it, you'll get 16, so that is the number you must add to both sides of the equation in order to complete the square.

Answer 2

Answer:

give him brainliest

Step-by-step explanation:

lol

Related Questions

Can somebody help me with writing a real-life problem on this subject Finding angle measures of a right or isosceles triangle given angles with variables thank you?

Answers

Answer:

See Explanation

Step-by-step explanation:

See attachment for illustration

(a) Right triangle

The sum of [tex]angles[/tex] in a [tex]right[/tex] [tex]triangle[/tex]is:

[tex]x + y + 90 = 180[/tex]

Subtract 90 from bot sides

[tex]x + y = 90[/tex]

Make x the subject

[tex]x = 90 - y[/tex]

Make y the subject

[tex]y = 90 - x[/tex]

This implies that, subtract the known angle from 90 to get the unknown angle.

Assume [tex]x = 40[/tex]

We make use of: [tex]y = 90 - x[/tex]

[tex]y = 90 - 40 = 50[/tex]

(b) Isosceles triangle

The sum of angles in an isosceles triangle is:

[tex]x + y + y = 180[/tex] ---- y appear twice because the base angles are equal

[tex]x + 2y = 180[/tex]

Make x the subject

[tex]x = 180 - 2y[/tex]

Make y the subject

[tex]y = \frac{180 - x}{2}[/tex]

Assume [tex]x = 40[/tex], we make use of:

[tex]y = \frac{180 - x}{2}[/tex]

[tex]y = \frac{180 - 40}{2}[/tex]

[tex]y = \frac{140}{2}[/tex]

[tex]y = 70[/tex]

Assume [tex]y = 70[/tex], we make use of:

[tex]x = 180 - 2y[/tex]

[tex]x = 180 - 2 * 70[/tex]

[tex]x = 180 - 140[/tex]

[tex]x = 40[/tex]

If the principal is $4,500 and the rate of interest is 8%, what is the amount of interest after one year? Formula is I =PRT

Answers

Step-by-step explanation:

I=?

P= $4500

R=8%=0.08

T=1 year

8%*0.01= 0.08

I=(4500)(0.08)(1)

(4500)(0.08)=360

360*1=360

The interest after one year is $360

A clothing store donated a percent of every sale to charity. The total sales were $8850, so the store donated $531 what percent of $8850 was donated to charity?

Answers

Answer:

6%

Step-by-step explanation:

[tex]\frac{531}{8850} *\frac{x}{100} \\531*100= 5310053100/8850= 6%[/tex]

A bag contains 9 marbles: 3 are green, 4 are red, and 2 are blue. Teresa chooses a marble at random, and without putting it
back, chooses another one at random. What is the probability that the first marble is blue and the second is green? Write
your answer as a fraction in simplest form.

Answers

Answer:

Probability[First marble blue, second is green without replacement] = 1/12

Step-by-step explanation:

Given:

Number of green marble = 3

Number of red marble = 4

Number of blue marble = 2

Total marble = 9 marble

Find:

Probability[First marble blue, second is green without replacement]

Computation:

Probability of an event = Number of favorable outcome / Number of total outcome

Probability[First marble blue] = 2 / 9

Probability[second is green] = 3 / [9-1]

Probability[second is green] = 3 / 8

Probability[First marble blue, second is green without replacement] = Probability[First marble blue] x Probability[second is green]

Probability[First marble blue, second is green without replacement] = [2/9][3/8]

Probability[First marble blue, second is green without replacement] = 6 / 72

Probability[First marble blue, second is green without replacement] = 1/12

A number divided by four is at most 6. Which choice is correct??

A. K/4 > 6
B. 4/k ≤ 6
C. K/4 ≥ 6
D. K/4 < 6
E. K/4 ≤ 6

Answers

C because that sign means lesser than or equal to 6

The axis of symmetry for the graph of the function f(x)=3x2+bx+4 is What is the value
of b?
-18
-9
9
18

Answers

Answer:

B.) -9

Step-by-step explanation:

The value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9

How to calculate the axis of symmetry of a function?

The standard equation of a function in vertex form is given as:

f(x) = (a + x)^2 + h


Given the function f(x)=3x^2+bx+4 with an axis of symmetry of 3/2, the vertex is expressed as:

3/2= -b/2a

-b/2(3)=3/2

-b/6=3/2

Cross multiply

-2b = 18

-b=9

Hence the value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9

Learn more on axis of symmetry here: https://brainly.com/question/21191648

5x-1/5=7/3
Find The LCD That would eliminate the fractions

Answers

Answer:

[tex]x=\frac{7}{15}[/tex]

Step-by-step explanation:

[tex]5x-\frac{1}{5} =\frac{7}{3}[/tex]

[tex]5x - \frac{3}{15} = \frac{35}{15}[/tex]

[tex]5x - \frac{3}{15} + \frac{3}{15} = \frac{35}{15} + \frac{3}{15}[/tex]

[tex]5x=\frac{35}{15}[/tex]

[tex]\frac{5x}{5} } =\frac{\frac{35}{15}}{5}[/tex]

[tex]x=\frac{7}{15}[/tex]

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