Solve x^2=64. What property did you use?

Answer:

b = 9

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 12² = 15²

b² + 144 = 225 ( subtract 144 from both sides )

b² = 81 ( take the square root of both sides )

b = [tex]\sqrt{81}[/tex] = 9

Answer: in exact form: 291.5 + 30.25π cm²

              correct to 2 decimal places: 386.53 cm²

Step-by-step explanation:

first you find the area of the rectangle:

= length × width

= 53 × 11

= 583 cm²

Next you find the area of the semicircle:

= π × r² (where r is the radius)

= π × (11/2)²

= 30.25π cm²

Then you find the area of the unshaded triangle:

= half × base length × perpendicular height

= 1/2 × 53 × 11

=291.5 cm²

Finally you subtract the unshaded area (the triangle) from the shaded area (not including the semicircle) then add the semicircle to your result.

= 583 (rectangle) - 291.5 (triangle) + 30.25π (semicircle)

= 291.5 + 30.25π

≈ 386.53 cm² (2 decimal places)

Answer:

-18

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

You have to follow the order of operations so first off, we'd do -(32-12) which is negative twenty.

Now we're left with;

-20 + 4/2

Here we're going to do division before we add so,

4/2 is 2

All that's left would be,

-20 + 2 which equals -18

Hope that helps, and have a great day!

Answer:

-1/2 and -3/4

Step-by-step explanation:

rational numbers are numbers that can be expressed in a fraction

Part a.

x = price of car B

x-130645 = difference in price from car A to car B

If x is the larger price, then x-130645 will be positive. If x is the smaller price, then x-130645 is negative.

In short,

Using absolute value will give us

|x-130645| = positive difference in price

The result of an absolute value is never negative

We write the |x-130645| > 10000 to indicate that the difference in price is more than 10000 dollars.

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Answer:  | x-130645 | > 10000

================================================

Part b.

We'll use the idea that if |x| > k, then x < -k or x > k

to get the following

|x-130645| > 10000

x-130645 < -10000 or x-130645 > 10000

x < -10000+130645  or  x > 10000+130645

x < 120645  or  x > 140645

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Answer:

Car B has a price less than $120,645

OR

Car B has a price greater than $140,645

So basically anything that is not between 120645 and 140645. The price has to be positive of course.

[tex]6561m^{8}n^{3}[/tex]

Answer:

i need and image

Step-by-step explanation:

its 4,

=(20/5)1

= (4)1=4

Answer:

4

Step-by-step explanation:

20÷5x1

20÷5=4

4x1=4

Answer:

34

Step-by-step explanation:

So because you are given that a= 14, You just need to replace a with 14 in the equatio so it becomes:

15 + 5 + 14

15 + 5 = 20

20 + 14 = 34

All you do is replace a with 14 then add 15, 5 and 14 getting 34.

HOPE IT HELPED

Answer:

Square

Step-by-step explanation:

6 * [tex]10^{8}[/tex] = 600,000,000

I would put a decimal or dot to the right of 6 and count 8 zeros places to the right.

6. 0 0 0 0 0 0 0 0.

Answer:

0.11111111111

Step-by-step explanation:

0.11111111111

Answer:

1/6

Step-by-step explanation:

1/3 times 1/3 is equal to 1/3^2

1 * 1/ 3*3

1/6

Answer:

C) If you live in a mansion, then you do not have a small lawn to mow.

Step-by-step explanation:

Statement is

Equivalent statement as per the rule should be:

Options to identify equivalent statement

A)  If you have a small lawn to mow, then you live in a mansion.

B)  If you do not have a small lawn to mow, then you live in a mansion.

C) If you live in a mansion, then you do not have a small lawn to mow.

D)  If you do not live in a mansion, then you have a small yard to mow.

Correct answer is option C)

Answer:

Look below

Step-by-step explanation:

To figure whether a line is perpendicular or parallel check the slopes

When a line is parallel the slopes are the same

When a line is perpendicular the slopes are negative reciprocals

40. Neither (They aren't the same nor a negative reciprocal)

41. Neither (When you put y on the left it isn't a reciprocal)

42. Parallel (The slopes are both -3/2)

To do 43-44 make sure that the slopes are the same then plug in the points to to find the y-intercept (make sure you solve for b)

43. y = -4x - 1

44. y = 2x + 1

For 45-46 do the same thing, but make sure you change the slope to a negative reciprocal since its perpendicular

45. y = -3/2x-11

46. y = 1/4x+4

Answer:

no expression is equal to -20

Answer:

the firdst image in the uper left corner

Step-by-step explanation:

The formula in finding the distance between two points is given below:

[tex]\\[/tex]

Cheers!

Answer:

6⋅(x+3)⋅(x−3)

Step-by-step explanation:

Step-by-step explanation:

3 x^2 - 15x - 108 = 0

divided by 3

x^2 - 5x - 36 = 0

factorice

(x= -9)(x= 4)=0

x=9 , x= -4

Answer:

-3 (x + 5x )(x + 36

Step-by-step explanation:

Answer:

pure substance! I checked.

Step-by-step explanation:

In chemistry, a substance is pure if it has a homogeneous chemical composition. ... Examples of pure substances include iron, steel, and water. Air is a homogeneous mixture that is often considered to be a pure substance.

Answer:

122/90 or 1 32/90

Step-by-step explanation:

8/9 and 7/15 have the common denominator of 90.

Step 1:

8/9 + 7/15

Step 2:

80/90 + 42/90

Step 3:

122/90

Answer:

122/90 or 1 32/90

Hope This Helps :)

note: -2.5 is equivalent to the fraction -5/2

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Explanation:

For now, let's just think of a single number line. If for example we had the values 3 and 7 on it, then 5 would be the midpoint. We find this by adding 3 and 7 to get 10, then cutting in half to get 5.

The value 5 is two units away from both endpoints 3 and 7.

Now let's move onto the 2D xy grid. We'll use the same idea to get the midpoint. Though we'll work on x and y separately. Note how the x axis is basically a number line, and so is the y axis as well. Together those two number lines help pinpoint an exact location.

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The endpoints G(-11,4) and H(-1,-9) have x coordinates of -11 and -1. They add to -11+(-1) = -12. Cut this in half to get -12/2 = -6. This is the x coordinate of the midpoint.

Repeat for the y coordinates. G and H have y coordinates of 4 and -9. They add to 4+(-9) = -5 which cuts in half to get -5/2 = -2.5 which is the y coordinate of the midpoint.

Put together, the midpoint is located at (-6, -2.5)

If the midpoint is labeled M, then segments MG and MH are the same length. The midpoint cuts segment GH in half.

Answer:

4 people

Step-by-step explanation:

Let's first write an equation.

We want to find the number of tickets t

The total was $49 so our equation will equal $49 and they spent $15 in snacks so on the other side of the eqaution we have to add $15, on the same side as the snacks we need to add in the cost of tickets, which is $8.50 multiplies by t, or the total number of tickets.

$49 = $8.50t + $15

Solve for t, first subtract $15 from both sides.

$49 - $15 = $8.50t

$34 = $8.50t   Divide both sides by $8.50

$34/$8.50 =  $8.50t/$8.50  

$34/$8.50 = t

4 = t

4 tickets meaning 4 people went.

Answer:

[tex]PM = \sqrt{(a - c)^2 + (b-d)^2}[/tex]

Step-by-step explanation:

Relevant data provided as per the requirement of question is shown below:-

M(c,d)is a midpoint of PQ

PM = MQ

The expression for PM to find an expression for PQ is shown below:-

Where,

[tex]PM = \sqrt{(a - c)^2 + (b-d)^2}[/tex]

Which is equals to MQ

and

[tex]MQ = \sqrt{(a - c)^2 + (b - d)^2}[/tex]

For more clarification, the diagram has been presented below:-

I______I______I

P           M          Q

(a,b)     (c,d)

Answer:

490.0...

Step-by-step explanation:

4.9 x 10^2

(squared)

4.9 x 10 x 10

the easiest way to do this is to move the decimal 2 places to the right, as

10 x 10 = 100

4.9 x 100 = 490.0...

Answer: a formula

Step-by-step explanation:

Its easy, just because you see that there is a variable, but there is also a formula. The answer could be a formula. If it was all letters, the answer would be variable, but its not. The answer is a formula.

Answer:

B. An Expression

Step-by-step explanation:

An expression is one term or a combination of multiple terms using an addition or subtraction sign.

Hope I was able to help you!

Dividing by 2 is obvious. Square root is "a number which produces a specified quantity when multiplied by itself." Essentially the opposite of exponents.

Answer:

Step-by-step explanation:

3995.996 to the nearest hundredth

9 is in the hundredths place

to the right is 6 and it is higher than 5

therefore it is 3996

Answer:

0 (A)

Step-by-step explanation:

just cancel equal terms on both size