Mathematics High School

Complete the square in order to solve the following quadratic equation:

x^2 + 6x = −2

Answers

Answer 1
To complete square one is basically doing
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2

or
a
2
−
2
a
b
+
b
2
=
(
a
−
b
)
2
We can see that
x
2
=
a
2
and
2
a
b
=
6
x
So all we need to condense this into
(
a
+
b
)
2
is a
b
2
term
We know that
2
b
=
6
as
x
=
a

so
b
=
3

and
b
2
=
9
So if we put the
b
2
term in we get
x
2
+
6
x
+
9
−
9
=
(
x
+
3
)
2
−
9
We include the
±
9
because we have to net add nothing to the equation so
9
−
9
=
0
so we really haven't added anything

Related Questions

find the value of x ​

Answers

Answer:

Let the length of missing side x.

x^2 = 16^2 + 30^2

x^2 = 1156

x = √1156

x = 36

Step-by-step explanation:

Hope it is helpful....

Answer:

Step-by-step explanation:

x ² = 16² +30²

x ² = 1156

x = √1156

x =34

About 0.6 of all the students in the fifth grade are girls. If the fifth grade has 85 ​students, how many of the students are girls​?

Answers

Answer:

51 girls

Step-by-step explanation:

85 represents the total amount of students in 5th grade, including boys and girls.

0.6 or 60% of the 85 students in 5th grade are girls.

0.6 x 85 = 51

Therefore, there are 51 girls out of the 85 students in 5th grade.

the answer is 51. hope i helped

Jeffrey buys a microscope priced at $333.74. Shipping and handing are an additional 10 of the price. How much shipping and handling will Jeffrey pay?​

Answers

Answer would be 42.28

Ñ
Henry deposits $7500 in an account earning 2.75% interest compounded monthly. What is the balance in his account after 4 years?

A.$27,579.67
B.$20,160
C.$10,420.49
D.$8371.03

Answers

Answer:

Answer is D

Step-by-step explanation:

Fathers age is twice his daughter age but 16 years ago fathers age was 4 times his daughters age . Calculate their ages

Answers

Answer:

Father's age = 48

Daughter's age = 24

Step-by-step explanation:

Let x be father's age and y be daughter's age.

1st equation:

x = 2y

2nd equation:

(x - 16) = 4(y - 16)

Replacing value of x from 1st equation,

(2y - 16) = 4(y - 16)

2y - 16 = 4y - 64

4y - 2y = 64 - 16

2y = 48

y = 48/2

y = 24

And,

x = 2y

x = 2 x 24

x = 48

8x - x = 64 - 16

7x = 48

〖x/y^(-1) )〗^0 〖(x^(-1)/y^2 )〗^2 〖(xy^2)〗^(-1)
Exponent solving

Answers

Anything to the 0 power equals 1....

What is the exact circumference of the circle?

A 10π ft

B 20π ft

C 40π ft

D 60π ft

Answers

The exact circumstance of the circle is 20pi ft which means the answer is B

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Given,

Diameter (d) = 20 ft

Radius (r) = ?

[tex]r = \frac{d}{2} \\ r = \frac{20}{2} \\ r = 10 \: \: ft[/tex]

____________________

Now, we've to find the exact circumference (c) ..

[tex]c = 2\pi \: r \\ c = 2\pi \times 10 \\ c = 20\pi ft[/tex]

⎆ The answer is [tex]\large\bold{20π \ ft (option \ C)}[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Martin Company currently produces and sells 33,000 units of product at a selling price of $15. The product has variable costs of $5 per unit and fixed costs of $43,000. The company earns a total contribution martin of

Answers

Answer:

$330,000

Step-by-step explanation:

The selling price per unit is $15

The variable cost per unit is $5

Units sold is $33,000

The contribution margin can be calculated as follows

(15-5)×33000

= 10 × 33000

= 330,000

Hence the contribution margin is $330,000

Can someone help me with Special Segments of a circle?

Answers

Answer: Segment (of a Circle) A segment is a region bounded by a chord of a circle and the intercepted arc of the circle. A segment with an intercepted arc less than a semicircle is called a minor segment. A sector with an intercepted arc greater than a semi-circle is called a major segment.

I hope this helped you but, I didnt know the ones on your assignment :)

help quickly!!!!! explanation needed. lots of points.

Answers

Answer:

29.3

Step-by-step explanation:

to find average you find the sum of all the minutes she practiced and divide it by the total amount of day she practiced.

first we have to find the sum of the minutes she practiced:

20+30+40+38+25+22+39+22+26+31

this equation is equal to 293 minutes she practiced in total. Now we have to divide this by the total amount of days she practiced whice according to the data is 10! So:

293/10 =29.3

✓ = 2x²-4
Is it linear or nonlinear

Answers

nonlinear because it is squared it is a quadratic

The overnight low temperature in Cassidy City was -27 Fahrenheit. The overnight low temperature in Shakerville was -6 Fahrenheit. How much warmer was shakerville than Cassidy City?

Answers

Answer:

Shakerville 21° warmer

Step-by-step explanation:

-27 + -6 = 21

Erik used the Factor Theorem to find the remainder of 2x3-4x2-28x+6 divided by x+3. If he calculated the remainder to be 0, what does that tell him?

Answers

Step-by-step explanation:

x + 3 = 0

x = - 3

f(x) = 2x³ - 4x² - 28x + 6

f(- 3) = 2(- 3)³ - 4(- 3)² - 28 x (- 3) + 6

= 2 x (- 27) - (4 x 9) + 84 + 6

= - 54 - 36 + 90

= - 90 + 90

= 0

Therefore,

x + 3 is factor of 2x³ - 4x² - 28x + 6

I WILL GIVE BRAINLIEST!!

Answers

Answer:

[tex]\text{D. The terms may be combined.}[/tex]

Step-by-step explanation:

Recall that [tex]\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}[/tex]. Using this, we can simplify and combine the two terms:

[tex]6\sqrt{32}-12\sqrt{72},\\=6\cdot \sqrt{4}\cdot \sqrt{8}-12\cdot \sqrt{9}\cdot \sqrt{8},\\=6\cdot 2\cdot \sqrt{8}-12\cdot 3\cdot \sqrt{8},\\=12\sqrt{8}-36\sqrt{8},\\=-24\sqrt{8}=-24\cdot\sqrt{4}\cdot\sqrt{2}=\boxed{-48\sqrt{2}}[/tex]. Therefore, the terms may be combined.

Question 16
A line has a slope that is undefined Which of the following points could this line pass through?
А
(6, 4) and (4,-5)
B
(8,5) and (8,-5)
С
(2,3) and (4,3)
D
(-7,1) and (7,6)

Answers

Answer:

b hope it help

Step-by-step explanation:

A, or C because, when you look closely is says undefined which is going back then up, B and D are OUT

What is the 5th term in the sequence 64, 16, 4 ?

Answers

Answer: 1

Step-by-step explanation:

Answer:

1/4 because

1st term 64 : 64/4 = 16

2nd term 16 : 16/4 = 4

3rd term 4 : 4/4 = 1

4th term 1 : 1/4 = 1/4

5th term 1/4

−7/8≤m−13/8
plz help i will give brain list if right
stay safe

Answers

Answer:

6/8≤m

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

-7/8≤m-13/8

+13/8    +13/8

6/8≤m

Answer:

answer m≥3/4 it is simplified form of 6/8

Step-by-step explanation:

thank i hope that help

How do I solve this using f.o.i.l
(Factoring trinomials)

Answers

it’s not factorable, that’s it’s final form

Divide £60 in a ratio of 2:1

Answers

£40 and £20

Step-by-step explanation:

let the parts be 2x and x (2:1)

2x+x=£60

or, 3x= £60

or, x= £20

2x=2×£20=£40

x=£20

5+5 also i like people

Answers

Answer:

5+5=10 :D

Step-by-step explanation:

Answer:

huh

Step-by-step explanation:

250/36 =
250 divided by 36 =

Answers

ots shjshdhusksjbsu8osjd

Answer:

0.144

Step-by-step explanation:

[tex] \sqrt[250]{36} [/tex]

Help me please!!! Whats the length for w?

Answers

Answer:

(The second option) sin40° = w / 28

Step-by-step explanation:

sin40° = opposite / hypotenuse

sin40° = w / 28

Son=40 hope this helps

Find the minimum or maximum value of the function g(x)=−4x^2+16x−15

Answers

i got (2,1)

but the maximum/minimum will always be the y

so the why in that case is 1

What is a No solution? What is a infinite solution?

Answers

No is a solid answer and infinite solution well that just means anything

Answer:

No solution would mean that there is no answer to the equation. ... Infinite solutions would mean that any value for the variable would make the equation true?

5x + 13 + (2y-7)i = -2 + i please please help

Answers

hope this helps !!!!

PLS HELP!!!! I dont understand this.

Answers

Answer:

a) 3m + m

b) 2m + 2m

Answer:

Step-by-step explanation:

a) 3m + m

b) 2m + 2m

Find A if 30% of A equals 30% of 30 plus 30​

Answers

30+30= 60 if A is 30 percent of 60 A=0.3 x 60


How many solutions does the equation 2 + 6(2 – 4) =
= 3x
18 + 3x have?

Answers

The correct answer is none please give me brainlest let me know if it’s correct or not okay thanks bye

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP
Translate the sentence into an inequality.

Twice the difference of a number and 5 is at most 23.

Use the variable x for the unknown number.

Answers

Answer:

[tex] 2(x - 5)\leqslant \\23[/tex]

Step-by-step explanation:

or

[tex]2x - 10 \leqslant 23[/tex]

I need answers to the problem.​

Answers

Step-by-step explanation:

x equals 40

.... good luck!

Other Questions
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