Mathematics High School

complete the square f(x)=x^2-12x-4

Answers

Answer 1

Answer:

Solve for x over the real numbers:

x^2 - 12 x - 4 = 0

Add 4 to both sides:

x^2 - 12 x = 4

Add 36 to both sides:

x^2 - 12 x + 36 = 40

Write the left hand side as a square:

(x - 6)^2 = 40

Take the square root of both sides:

x - 6 = 2 sqrt(10) or x - 6 = -2 sqrt(10)

Add 6 to both sides:

x = 6 + 2 sqrt(10) or x - 6 = -2 sqrt(10)

Add 6 to both sides:

Answer: |

| x = 6 + 2 sqrt(10) or x = 6 - 2 sqrt(10)

Related Questions

Mark is a teaher and makes 46,838 a year how much is his monthly gross pay?

Answers

Answer:

$3903.17

Step-by-step explanation:

12 months in a year.

46,838 / 12 = $3903.17

Answer:

3,903.20

Step-by-step explanation:

Divide by 12 because there is 12 moths in a year

3,903.16667

Evaluate the expression for s = -1.

Answers

Answer:

the expression for s = -1.

is s+1=0

35/z=20/4 solve the proportion

plz help me solve this ​

Answers

Answer:

35 / 7 = 20 / 4

Step-by-step explanation:

20 / 4 equals to 5

35 / 7 equals to 5

What number is opposite of 56

Answers

Answer:

- 56

Step-by-step explanation:

The opposite of a number is its negative value

Then the opposite of 56 is - 56

The opposite of 56 is the negative of -56

If a vector V is in standard position and the tip of the vector corresponds to the point (a, b), then we can write the vector in component form as

Answers

Answer:

[tex]V = <a,b>[/tex]

Step-by-step explanation:

Given

[tex]P= (a,b)[/tex] --- Point

Required

Component of V

From the question, we understand that V is in standard position.

This implies that V starts at the origin (0,0) and ends at (a,b)

So, vector V is:

[tex]V = <P(a,b) - O(0,0)>[/tex]

This gives:

[tex]V = <a-0,b-0>[/tex]

[tex]V = <a,b>[/tex]

If a point is randomly selected from the rectangular area of the graph, what is the probability that it will be in the speckled region? round answer to the nearest whole percentage.
A. 6%
B. 11%
C. 16%
D. 21%

Answers

Answer:

b

Step-by-step explanation:

mark me brainiest

Answer:

b

Step-by-step explanation:

mark him brainiest

The school that Sarawong goes to is selling tickets to a play. On the first

day of ticket sales the school sold 13 senior citizen tickets (s) and 5 child

tickets (c) for a total of $125. The school took in $85 on the second day

by selling 5 senior citizen tickets and 5 child tickets. What is the price

each of one senior citizen ticket and one child ticket?

Write the two equations to solve the system first. Use s for senior

citizens and use c for child. Show all work using the method you prefer.

Equations:

Answers

Answer:

12s + 5c = 125

5s + 5c = 85

price of senior citizen ticket = $5.71

price of a child's ticket = $11.29

Step-by-step explanation:

This question can be solved using simultaneous equation

12s + 5c = 125 equation 1

5s + 5c = 85 equation 2

subtract equation 1 from 1

7s == 40

s = 40/7 = 5.71

Substitute for s in equation 1

12(5.71) + 5c = 125

68.57 + 5c = 125

5c = 125 - 68.57

5c = 56.43

c =11.29

What is the value of the expression below when z = 2?
5z^2+3z+7

Answers

Answer: 33

5(2)² + 3(2) + 7

20 + 6 + 7

33

Hope this helps!

I’m not sure how to solve, what do I need to do??

Answers

Answer:

Step-by-step explanation:

It's helpful to draw it out, but you need a calculator for this.

You have the values of line b, line c, and angle C.

You can use sinC / c since you have C and c.

Solve for sinB by doing sinB/5.7 = sinC/8.6

you'll get the value of sinB, use inverse trig to solve for B (sin^-1)

Then you'll have the angle values for C and B. Add them, and subtract by 180 to find the angle measure of A.

Use the steps above to find a:

sinA (which u just found) / a = sinC (125) / c (8.6)

Hope this helps.

The perimeter of a rectangular building is 462 meters. It is 131 meters long. How wide is it?

Answers

100 metres

131 x 2 = 262
462 - 262 = 200
200 / 2 = 100

HELP AS SOON AS POSSIBLE NEEDS ANSWERS ASAP

Answers

Answer:

C. The mean will increase and ty e median will remain the same.

Please help with 17 and 18

Answers

17. Domain: x=/ -2, Range: y=/-4
18. Domain: x>=-5, range: y>=-5

Lmk if youd like an explanation

Is this SOH, CAH, or TOA? Explain why you’re correct.

Answers

Answer:

Step-by-step explanation:

If you're referring to angle B then it's SOH

Opposite is 5 and Hypontenuse is 7

Suppose chocolate costs $17.60 per kilogram. Karega buys 25 grams of chocolate and Samadhi buys 100 grams of chocolate.
How much more did Samadhi pay for her chocolate?
0.44
1.32
2.20
2.64

Answers

Answer:

The answer is $1.32 :)

Step-by-step explanation:

Answer:

1.32

Step-by-step explanation:

i tested at risk its correct have nice day :>

the variable term in 2 to the third power - 4 is

Answers

Answer:

-4²

Step-by-step explanation:

PLEASE HELP ME WITH THIS

Answers

Answer:

2.a..A=1/2 ×1.0×2.4=1.2m²

b.area of rectangle button=l×w=2.4×2.8=6.72m²

c.area of back =l×w=1.0×2.8=2.8m²

d.area of top =l×w=2.8×2.6=7.28m²

3.

total area =2×area of traingular side +area of rectangle button+c.area of back+area of top

=2×1.2+6.72+2.8+7.28=19.2m²

4.Assumption

total area of triangular prism is

sum of area if each faces.

In a blind taste test, 25 people chose brand A, 15 people chose brand B, and 10 people chose

brand C. There are 200 more people to be surveyed. Based on the data, which is most likely.

to happen?

About 10 more people will choose brand B than brand C.

About 30 more people will choose brand C.

About 30 more people will choose brand A than brand B.

About 100 more people will choose brand A.

Answers

Answer: About 100 more people will choose brand A.

Step-by-step explanation:

Number of people who chose brand A = 25

Number of people who chose brand B = 15

Number of people who chose brand C = 10

Total number of people = 25+10+15 = 50

Since there are 200 people left, we'll equate them based on the data given and this will be:

For A = 25/50 × 200 = 100

For B = 15/50 × 200 = 60

For C = 10/50 × 200 = 40

Therefore, about 100 more people will choose brand A.

Answer:

About 100 more people will choose brand A

Step-by-step explanation:

i ready:)

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

A. 356

Step-by-step explanation:

Answer:

Step-by-step explanation:

how r u in highschool and not know this-

anyways... its 356

Example 1
Suppose you are playing a card game with a standard deck of playing cards and you are dealt four cards, one after another, from the top of the deck. Leave answers in percent form.

A. P(four aces)
B. P(four hearts)
C.P(four face cards)

Answers

the correct answer is A. (four aces)

need help ace plsss ​

Answers

Answer:

ITS 32 m^3

Step-by-step explanation:

Option C

just trust me homie... :)

Answer:

C. 32 m cube

hope this helps

have a good day :)

step-by-step explanation:

ASAP
-WILL MARK BRIANIST

Answers

Answer:

$47.06

Step-by-step explanation:

$12.64*3=$37.92 $37.92+$12.64=$50.56 $50.56-$3.50=$47.06

PQR is congruent to JKL.

Which sequence of transformations maps
PQR onto JKL?

Answers

Reflection over the y axis and a translation 2 units down.

sorry if the lighting is bad
it's about number lines
no links

Answers

1st graph all the negative & positive numbers

The opposite of 2 is -2 because it's a negative number ( opposite of 2 )

guys answer fastyyytytttttt

Answers

Answer:

1/4

Step-by-step explanation:

there are 2 footballers

and 8 other sports

therefore, 2/8 or 1/4

Which of the following is NOT an integer?

-99
0
57
3.719

Answers

I think it’s 0 57 and 5.719

QU | RT. Find TU.
Help plz...No links!! I will report!!

Answers

Answer:

34

Step-by-step explanation:

We solve the above question using Triangle Proportionality Theorem

This states that:

TU : TS = QR : RS

TU/TS = QR/RS

TU = ?

TS= 17

RS = 13

QR = 26

Hence,

TU/7 = 26/13

Cross Multiply

13 × TU = 17 × 26

TU = 17 × 26/13

TU = 17 × 2

TU = 34

Therefore, TU = 14

Help me with this please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]x = \sqrt{3} \: meters[/tex]

Step-by-step explanation:

Please see the attached pictures for the full solution.

The question could be solve using 2 methods:

1) Looking at the angle 30°

2) Looking at the angle 60°

I need help I don’t understand this thank you so much

Answers

Answer:

The answer is 3,200 oz.

Step-by-step explanation:

Because since 16 oz. is equal to 1 pound, you can multiply 16 and 200 and get a result of 3,200

Which statements are true?

Select each correct answer.

Only some triangles are plane figures.
All triangles are closed figures.
All triangles are polygons.
All triangles have 3 right angles.
All triangles have 3 straight sides.
Multi answer BTW

Answers

Answer:

All Triangles are closed figure polygons that have three straight sides

Step-by-step explanation:

All 2D shapes are plane figures so this one is false. Three right angles are greater than 180 so this is fake. Polygon and closed figures are shapes with three or more closed sides. And triangles have straight sides.

[tex]\sqrt{80p^3}[/tex]

Answers

Answer:

320√5 it simpleflied

Step-by-step explanation:

Answer:

Answer in the pic!
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