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Answer:

the exact answer is in decimal ... 15.714 is the value of x

The equation [tex]\rm \sqrt{x^2 + 81} = x + 10[/tex] is equivalent to [tex]\rm x^2 + 81 = x^2 + 20x + 100[/tex]. Then the correct option is D.

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

The equation is given below.

[tex]\rm \sqrt{x^2 + 81} = x + 10[/tex]

Squaring both sides, we have

[tex]\rm (\sqrt{x^2 + 81})^2 = (x + 10)^2\\\\x^2 \ \ +\ \ 81 \ \ = x^2 + 20x + 100[/tex]

Thus, the equation [tex]\rm \sqrt{x^2 + 81} = x + 10[/tex] is equivalent to [tex]\rm x^2 + 81 = x^2 + 20x + 100[/tex]. Then the correct option is D.

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

Answer:

Answer should be 2

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

the angle of 119 degrees is equal to the angle on the angle on the exterior of the question mark. So all you gotta do is subtract 180-119

Hey there!

The first expression is

5x+15

The equivalent expressions are

5(x+3)

- the opposite of the Distributive Property: 5(x+3)=5x+15

Plus

isn't 5*x+5*3 the same as 5x+15?

Yeah, it is :)

Hence, the equivalent expressions are

[tex]\boxed{\boxed{\bold{Option\;A \;and\;Option\;B}}}[/tex]

[tex]\rule{200}{2}[/tex]

In order to simplify this expression, we need to combine like terms:

11+12y-3-y

The y's are like terms:

11+12y-y-3

11+11y-3

Can you spot any other like terms here? That's right, 11 and -3:

11-3+11y

8+11y

Hence, the equivalent expression is

[tex]\boxed{\boxed{\bold{11y+8}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions; if so, please comment.

#LearningDoesn'tEnd

#LearningIsFun

Answer:

(ab + cd + ac - bd)(ab + cd - ac + bd)

Step-by-step explanation:

(ab + cd)² - (ac - bd)² ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

Here a = ab + cd and b = ac - bd , then

= (ab + cd + ac - bd)(ab + cd - (ac - bd))

= (ab + cd + ac - bd)(ab + cd - ac + bd)

The equation y = 3x - 5 is an illustration of a linear equation

The slope is 3, and the y-intercept is -5

The equation of the table is given as:

y = 3x - 5

When x = -1, we have:

y = 3(-1) - 5 = -8

When x = 0, we have:

y = 3(0) - 5 = -5

When x = 1, we have:

y = 3(1) - 5 = -2

So, the complete table is:

x     y

-1    -8

0      -5

1       -2

A linear equation is represented as:

y = mx + b

Where:

m represents the slope and b represents the y-intercept.

By comparison, we have:

m = 3, and b = -5

Hence, the slope is 3, and the y-intercept is -5

Read more about linear equations at:

https://brainly.com/question/14323743

Answer:

The answer is 16x-4x+1, give me brainliest answer

Answer:

–16(x2 – 3x – 4)

first we have to distribuite

-16x^2+48x+64

then we have to look for a number that goes into all of these which is -16

x^2-3x-4

then multiply the first by the last

-4x^2

then we have to find a two number that adds to make -3 and multiples to make -4x2

now lets list the factors

2*2

4*1

then lets just plug in

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

now we have to factor out

x(x+1)-4(x+1)

-16(x-4)(x+1)

Hope This Helps!!!

If Karen cut her square cardboard into two equal rectangles, the perimeter of those rectangles is 180cm. On the other hand, if the rectangle is 25 cm wide, the perimeter would be 110 cm.

The perimeter of a geometric figure is the measure of the length of all its sides. In this case, if Karen has a square of cardboard with a side of 60cm, it can be inferred that she would have two rectangles with a height of 30cm and a base of 60cm, so the perimeter would be:

On the other hand, if the rectangle has a base of 30cm and a height of 25cm, the perimeter would be:

Learn more about perimeter in: https://brainly.com/question/6465134

Answer:

Are you isabella if not im zoe. I will try to tell him

Step-by-step explanation:

Brainliest?

Answer:

morning

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

Answer:

16 inches

Step-by-step explanation:

1 foot is equivalent to 12 inches so the puppy will grow 16 more inches which is equal to 28 inches.

Answer:

150ft

Step-by-step explanation:

The distance from the boat to the lighthouse 321.67 ft.

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.

Given that, The angle of elevation from a boat to the top of a lighthouse is 25°, the lighthouse is 150 feet tall.

Let the distance from the boat to the lighthouse be x

tan25° = 150/x

x = 150/tan25°

x = 321.67

Hence, the distance from the boat to the lighthouse 321.67 ft.

For more references on Trigonometric ratio, click;

https://brainly.com/question/25122825

#SPJ2

Answer:

766,000

Step-by-step explanation:

The thousands place is the 5 in 765,903. Because the hundreds place is 5 or above, the thousands place should be rounded up.

Answer:

Step-by-step explanation:

5/6 is the very definition of rational. It is a fraction.

C can found to be rational.

100 x = 656.56565656...

      x =      6.56565656...    Now subtract the 2

99x  =    650                         Divide by 99

x = 650 / 99

D is rational

23/100 = 0.23

I'm not sure about E. It should show some repeat taking place. Then we'd know.

F is rational

-5 3/8 = -43/8 which is rational.

Answer: A C D F and perhaps E

Answer:

Option A

Step-by-step explanation:

Given the following question:

[tex]-6+x=-5[/tex]

Substitute the variable for any of the options and then solve.

[tex]-6+x=-5[/tex]
[tex]x=1[/tex]
[tex]-6+1=-5[/tex]
[tex]=-5[/tex]

Your answer is "1" or option A.

Hope this helps.

Answer:

1

Step-by-step explanation:

Your answer is 1 because hundredths position is the second number after the decimal other answers include.

Ten=3

Ones place=8

Tenths place=7

Thousandths place=6

Hundred thousandths=5

Hope it helps have a great day:)

B5 + C9 = 164

Split the numbers.

B0 +C0 +14 = 164.

B0 + C0 = 150

B + C = 15

B cannot be 1, 2, 3, 4, or 5 because that forces C to be a two digit number and C only represents 1 digit.

B cannot be 6 or 9 because they are present.

B can only be 7 or 8. C can also be 7 or 8.

Therefore, B = 7  and C = 8, OR B = 8 and C = 7.

Answer:

A Yes, they are equivalent

Step-by-step explanation:

12-(X+9)= -x+3

12-x-9=-x+3

Answer:

Step-by-step explanation:

25ft x 25ft

Maximum Area with Fixed Perimeter

In order to have a perimeter of 100 feet, that means that each side needs to be 25 feet long. The area would then be 25ft x 25ft, or 625ft2.

Answer:

<2, <5, and <7.

Step-by-step explanation:

<2 and 72°, are vertical angles. Vertical angles are congruent. Therefore, <2 ≅ 72°.

<7 and 72° are corresponding angles. Corresponding angles are congruent, therefore, <7 ≅ 72°.

<5 and 72° are alternate interior angles. Alternate interior angles are congruent, therefore, <5 ≅ 72°.

Angles that are congruent to 72° are <2, <5, and <7.

Answer:

C. 2.865

Step-by-step explanation:

All you have to do in this situation is to subtract the amount he ran two weeks ago by the amount Thomas ran last week. It would look like so,

38.074 - 35.209

And once you do that you get the answer of 2.865

Hope that helps and have a great day!

Answer:

the answer is 4,700

Step-by-step explanation:

x + 2 = 4

5 x = 10

because 1st one is not an equation

3rd , 4th and 5th also

Answer:

No.

Step-by-step explanation:

[tex]a^{2} +b^{2} = c^{2}[/tex]

4^2 is 16. 55^2 is 3025. 16 plus 3025 is 3041. 73^2 is 5329. 5329 does not equal 3041.

Hope this helped and have a great day

(Please brainliest)

Answer:

-2x+2

Step-by-step explanation:

Answer:

-2x+2 because you would have to distribute

Answer:

X= -10

Step-by-step explanation:

Answer:

Angle Relationship: Alternate exterior angles

x = -10

Angle measurement: 51 °

Step-by-step explanation:

These angles are located "outside" the two parallel lines but on opposite sides of the transversal, therefore they are alternate exterior angles.

Alternate exterior angles are congruent, therefore the angle must be 51 °

51 = 61 + x

subtract 61 from both sides

x = 10

Answer:

if this is on edge just choose all of them

Answer:

Heart sounds

Step-by-step explanation:

Answer:

-2 1/3

Step-by-step explanation:

i hope this helps you!