Solve the following quadratic equation for all values of x
in simplest form.
(x+10)^2-8=8

Answers

Answer 1

Answer:

roots are at -14 and -6

Step-by-step explanation:

(x+10)² - 16 = 0

x² + 20x + 100 - 16 = 0

x² + 20x + 84 = 0

(x + 14)(x + 6) = 0

x = -14

x = -6


Related Questions

The area of a square piece of glass is 36 square centimeters. How long is each side?

Answers

Answer:

6 centimetres

Step-by-step explanation:

Square root 36 = 6

Answer:

6

Step-by-step explanation:

A = x^2

x = √A

x = √36

√36 = 6

The functions f(x) and g(x) are defined below. Which expression is equal to f(x) + g(x)?

Answers

Answer:

2(x-10)/(x+10)(x-4)

Step-by-step explanation:

Find the complete question attached as a diagram

Given the following

F(x) = x-16/x²+6x-40

Factoring the denominator

F(x) = x-16/x²-4x+10x-40.

F(x) = x-16/x(x-4)+10(x-4)

F(x) = x-16/(x+10)(x-4)

g(x) = 1/x+10

Adding both functions

F(x)+g(x) = x-16/(x+10)(x-4) + 1/x+10.

F(x)+g(x) = x-16+(x-4)/(x+10)(x-4)

F(x)+g(x) = x-16+x-4/(x+10)(x-4)

F(x)+g(x) = x+x-16-4/(x+10)(x-4)

F(x)+g(x) = 2x-20/(x+10)(x-4)

F(x)+g(x) = 2(x-10)/(x+10)(x-4)

which expression is equivalent to -6(3 + 4x)​

Answers

Answer:

−18 − 24x

Step-by-step explanation:

Give me Brainllest

Answer:

1/4 (1-3x)

Step-by-step explanation:

someone said it

Dad is getting food ready for my birthday party! Including me, there will be 18 people at the party. Dad is baking cookies for us! He can bake 24 cookies per batch.

How many batches should I tell Dad to make so we can each have 4 cookies?

Answers

Answer:
He should bake 4 batches.

Explanation:


There are 19 kids so if they get 4 each there would all eat a total of 76 cookies.

76 divided by 24 isn’t an even quotient so you round it to 4.

100 POINTS 100 POINTS 100 POINTS!!!
Don't just put random answer put real ones.
Wrong or Right?
For right just put right
For wrong just put wrong and the correct answer.
First correct answer gets brainliest!

Answers

Answer:

B and C

Step-by-step explanation:

Answer:

#1 is right

#2 is right

#3 is wrong

# 3 is b or c

Step-by-step explanation:

surry if im wrong

CAN SOMEONE PLEASE HELP ME OUT??

Answers

Answer:

D. -1≤x<4

Step-by-step explanation:

4-x<0 and x+1≥0

x<4 and x≥-1

so D. -1≤x<4

this is going to be my 13th reason please help me

Answers

Answer:

The radius of these cylinders is approximately 1 foot.

Step-by-step explanation:

According to this graph, the volume of the cylinder is directly proportional to its height, that is, radius remains constant. The expression of direct proportionality:

[tex]V \propto h[/tex]

[tex]V = k\cdot h[/tex] (1)

Where:

[tex]V[/tex] - Volume of the cylinder, in cubic feet.

[tex]h[/tex] - Height of the cylinder, in feet.

[tex]k[/tex] - Proportionality constant, in square feet.

Besides, the proportionality constant is described by this expression:

[tex]k = \pi \cdot R^{2}[/tex] (2)

Where [tex]R[/tex] is the radius of the cylinder, in feet.

If we know that [tex]h = 9\,ft[/tex] and [tex]V = 28.26\,ft^{2}[/tex], then the radius of the cylinder is:

[tex]k = \frac{V}{h}[/tex]

[tex]k = 3.14[/tex]

[tex]R = \sqrt{\frac{k}{\pi} }[/tex]

[tex]R \approx 1\,ft[/tex]

The radius of these cylinders is approximately 1 foot.

evaluate this pls quiick i have 18 min left online exams help

-0.0004 x 0.02

Answers

Given:

The expression is:

[tex]0.0004\times 0.02[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex]0.0004\times 0.02[/tex]

It can be written as:

[tex]=\dfrac{4}{10000}\times \dfrac{2}{100}[/tex]

[tex]=\dfrac{8}{1000000}[/tex]

[tex]=0.000008[/tex]

Therefore, the value of the given expression is 0.000008.

NO LINKS PLEASE- OR I SWEAR-
What is the median (Q2) of this data set?
(TYPE the NUMBER)

Answers

Answer:

70 or 75 70 is on there so that my best answer

Step-by-step explanation:

Find g(x), where g(x) is the translation 2 units right of f(x)=x2. Write your answer in the form a(x–h)2+k, where a, h, and k are integers.

Answers

Answer:

g(x) =( x² - 2 )

Step-by-step explanation:

We have the orignal function, and that is x².

to shift 2 units to the right, we add two the value of the x² in parebtheses, and it shifts 2 units to the right in the graph.

Please help me find x and y value?

Answers

Answer:

x = 24

y = 19

Step-by-step explanation:

From the picture attached,

m(∠CAB) = (5y - 23)° [Vertically opposite angles]

By applying triangle sum theorem in ΔABC,

(5y - 23)° + (2x + 13)° + 47° = 180°

2x + 5y = 143 -----(1)

(3x)° = (5y - 23)° [Corresponding angles]

3x - 5y = -23 -----(2)

By adding equation (1) and (2)

(2x + 5y) + (3x - 5y) = 143 - 23

5x = 120

x = 24

From equation (2)

3(24) - 5y = -23

72 - 5y = -23

5y = 95

y = 19

condense this logarithm to a single logarithm
6log 5u

Answers

Answer:

log_5(u^6)

Step-by-step explanation:

According to log rules, log_a(b^n) = nlog_a(b), reversing this we get that log_5(u^6) is what you are looking for.

x + 9 <4x plz awser​

Answers

Answer:

x>3

Step-by-step explanation:


The Volume of this triangular pyramid is 11140 cubic meters what is the value of u? Please help!!!

Answers

Answer:

19

Step-by-step explanation:

10 x 19 = 190

190 divided by 2 = 95

95 x 12 = 1140

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HELP I NEED HELP ASAP

Answers

The answer should be A because when I put them on a graph they were in the shape of a square/rectangle

Mr. Brown purchased 5.75 pounds of chicken that cost $2.40 per pound.
What is the total the Mr. Brown paid?

Answers

Answer:

8.15 is the answer

Step-by-step explanation:

Simplify.
5V18-2V50
V50

Answers

Answer:

-500

Step-by-step explanation:

Expand LaTeX: (4a - 3b^3)^2.

Answers

Explanation:
(4a-3b^3)^2
(4a-3b^3)(4a-3b^3)
16a-12ab^3-12ab^3+9b^3
16a+9b3

Find the surface area of this prism 6.72,5.78,12.7

Answers

Answer:

493.29

Step-by-step explanation:

SIMPLEE!!! WRITE AN EXPRESSION!

Answers

2s+2(s-7). Would be an equation. Hope this helps:)

An engine is operating at 25% of its full power. Which number line shows a point that
represents 25%?

Answers

Answer:

The first line

Step-by-step explanation:

Help me with this please

Answers

Answer:

1) <2 ; 60

2) <3 ; 60

3) <4 and <3. <4 = 120 and <3 = 60

4) <1, <3, and <4 = 125. <2 = 55

Step-by-step explanation:

1)

Corresponding angles are equal

2)

Alternate interior angles are equal

3)

<4 and <3 are same-side interior angles. This makes them supplementary angles

<4 = 120

<3 = 60

4)

<1 = <4 = <3. All of these angles equal 125.

<2 + <1 = 180

<2 + 125 = 180

<2 = 55

Please help it's for trig

Answers

Answer:

-4

Step-by-step explanation:

Given the expression

h(x) = -x^2 +4x

h(-2) = (-2)^2 + 4(-2)

h(-2) = 4  + (-8)

h(-2) = 4 -  8

h(2) = -4

Hence the value of the function when x = -2 is -4

I have been stuck on this question for a while(NO SPAMMING IT IS ANNOYING)The formula used to find the area of a circle is πr² (π=pi). What is the area of a circle with a diameter of 16cm? Use pi = 3.14

Answers

Answer:

200.96

or

201 (if you round it up)

Step-by-step explanation:

1) Well, if we know that the diameter (D) is 16 cm, then we know that the radius (r) is 8 cm (D = 2 * r).

2) Next, we square (^2) the radius, and we get 64 (r^2 = r * r = 8*8 = 64)

3) Finally, we multiply π by 64, and we get 200.96 cm^2 (3.14 * 64) which is very close to 201 cm^2.

100 POINTS
Choose ONE of the following questions to answer in the box below:
1) Why is point (100, 2) on the graph?
2) What is the x-intercept of the graph? Explain how you know.
3) When will the graph meet the line y = 5 ? Explain how you know.

Answers

Answer:

See below

Step-by-step explanation:

Given function:

y = log₁₀ (x)Questions

1) Why is point (100, 2) on the graph?

Because:

log₁₀ (100) = log₁₀ (10²) = 2 log₁₀ (10) = 2

2) What is the x-intercept of the graph? Explain how you know.

The x-intercept is the value of x when y = 0:

log₁₀ (x) = 0x = 10⁰x = 1

The x-intercept is (1, 0)

3) When will the graph meet the line y = 5 ? Explain how you know.

log₁₀ (x) = 5x = 10⁵x = 100000

When x = 100000

Step-by-Step-by-step explanation:

Factorise 3c^2-c


Please help me quick

Answers

Answer:

c(3c - 1)

Step-by-step explanation:

3c² - c

Common factor = c

Factored:

c(3c - 1)

PLS HELP WILL MARK BRAINLIEST

Answers

Answer:

I believe it is D.

Step-by-step explanation:

This shows all the combinations of the dice roll as could go along with any of the coin toss solutions.

I hope I didn't confuse you lol! Hope this helps :)

what is the answer too (17-6 divided by 2 )+ 4 multiplied by 3

Answers

Answer:

Step-by-step explanation:

The answer is 26

the answer i got is 28.5 i might be wrong

Divide 9 by 3 then subtract two double the result

Answers

Answer:

2

Step-by-step explanation:

9 ÷ 3 - 2 × 2

3 - 2 × 2

1 × 2

2

Mr. Pete just got a great deal at Lowe’s on tiles for his new patio. He wants to

tile his patio in the shape that is rectangular. His patio measures 108 inches by

144 inches. Find the fewest square tiles he can use without cutting any of them.

Answers

Answer:

The fewest square tiles he can use without cutting any of them = 12 square tiles

Step-by-step explanation:

The given dimensions of Mr. Pete's rectangular patio = 108 inches by 144 inches

The area of the patio = 108 in. × 144 in. = 15,552 in.²

We note that when square tiles are used the must fit both the length and the with of the rectangular patio

Therefore, we have;

The dimensions of the square tiles that the fewest number of tiles is the highest common factor, HCF, of 108 inches and 144

The HCF of 108 and 144 are found from by the prime factors as follows;

108 = 2² × 3³ = 2² × 3² × 3

144 = 2⁴ × 3² = 2² × 3² × 4

From which we have;

The HCF of 108 and 144 = 2² × 3² = 36

Therefore, the size of the sides of the square tiles that will give the fewest number of tiles is 36 inches

The number of the 36 inches square tiles that fit into the length of the rectangular patio = 144 inches/(36 inches/tile) = 4 tiles

The number of the 36 inches square tiles that fit into the breadth of the rectangular patio = 108 inches/(36 inches/tile) = 3 tiles

The total number of tiles he will use = (4 × 3) tiles = 12 tiles = The fewest square tiles he can use without cutting any of them.

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