Simplify square root of negative 100 . (2 points) A. −10 B. −10i C. 10i D. 10

The distance between points P and R is 24 units.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

Given that,

Three points P, Q and R lie on the line.

The distance between PQ = 11,

And the distance between QR = 13.

Since, All the points are on same line,

Therefore, The distance between points P and R,

PR = PQ + QR

PR = 11 + 13

PR = 24

The required distance of PR is 24 units.

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Answer:

C

Step-by-step explanation:

You first distribute within the parentheses which is -(-z-2). This is going to make everything positive as everything in the parentheses is negative. You should get z+2. Next, you plug that back in. It should be-3z+z+2. You simplify to get -2z+2. Hope this helps!

Answer:

see below

Step-by-step explanation:

-3z -( -z -2)

The first step is to distribute the minus sign

-3z  --z  --2

A negative negative is a positive

-3z +z +2

Then combine the like terms

-3z+z   +2

Answer

-2z+2

Answer:

y = -x + 7

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Step 1: Find slope

m = (6 - 3)/(1 - 4)

m = -1

Step 2: Find b

y = -x + b

6 = -1 + b

b = 7

Step 3: Rewrite linear equation

y = -x + 7

Answer:

y = -x + 7

Step-by-step explanation:

(x1, y1) = (4 , 3)

(x2, y2) = (1 , 6)

[tex]slope=\frac{y_{2}-y{1}}{x_{2}-x_{1}}\\\\=\frac{6-3}{1-4}\\\\=\frac{3}{-3}\\\\=-1\\\\y-y_{1}=m(x-x_{1})\\\\[/tex]

m = - 1;  (4,3)

y - 3 = (-1)(x -4)

y - 3 = -x + 4

y = -x + 4 + 3

y = -x + 7

Answer:

4-6

3.1+2.4

5-7

3.1+2.4+.75+.75

8-9

3.1+2.4+2.4+.75

add them to see which one is close that's i got my answer because i got it right

In 4-6 pounds, the blue and green book can be added., 5-7 pounds, the blue, green and red books can be added. and n 8-9 pounds, two green books, blue book and red book be added

Unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

We know that 1 pound = 1 lb.

In 4-6 pounds, the blue and green book can be added.

4-6

3.1+2.4

In 5-7 pounds, the blue, green and red books can be added.

3.1+2.4+.75+.75

In 8-9 pounds, two green books, blue book and red book be added.

3.1+2.4+2.4+.75

Hence, In 4-6 pounds, the blue and green book can be added., 5-7 pounds, the blue, green and red books can be added. and n 8-9 pounds, two green books, blue book and red book be added.

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Answer:

yes this is right

Step-by-step explanation: i dont even no the answer i just said its right

Answer:

-10< x< 3

Step-by-step explanation:

Please see attached picture for full solution.

*Sign changes when you divide inequality with a negative number.

Further explanation:

When you add, subtract, divide or multiply an inequality, it applies throughout. This means that from step 1 to 2, if you subtract 1 from the constant 58 to obtain 57, your inequality should be:

19< -6x -3< 57

Note that you do not subtract 1 from the coefficient of x (which means -6x does not become -7x since -7 is not a constant here).

Thus, the easiest way to solve an inequality with 2 inequality signs is to split them up into 2 different inequalities first and solving them separately before combining them into 1 to solve the question.

Answer:

Hey there!

The line is y=1/3x-1, and since the above is shaded it is y≥1/3x-1. (Note that this is a shaded line, so it is more than just >)

Hope this helps :)

Answer:

A ≈ 254.5 in²

Option C

Step-by-step explanation:

Area of a Circle Formula: A = πr²

d = 2r

Since we are given diameter d, we simply divide by 2 to get radius r:

r = 18/2 = 9

Then we simply plug it into the formula:

A = π(9)²

A = 81π

A = 254.469

A circle with a radius of 9 inches has an area of 254.3 square inches. The of aarea  circle is calculated using the formula πr², where π is a mathematical constant approximately equal to 3.14 and r is the radius of the circle.

Hence, the correct option is C.

The area of a circle is calculated using the formula A = πr², where A is the area and r is the radius of the circle. In this case, the radius is 9 inches, so the area is given by:

In this case, the radius is 9 inches, so the area of circle is given by,

Area = pi × [tex]9^{2}[/tex]

Area = 3.14 × 81

Area= 254.3

The value of pi is approximately 3.14, so the area of the circle is approximately 254.3. However, the question asks for the area rounded to the nearest tenth, so the answer is 254.3.

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9514 1404 393

Answer:

  Cone Z, cylinder Y

Step-by-step explanation:

Pointy objects such as pyramids and cones have 1/3 the volume of a prism (or cylinder) with the same base area. So, for a cone and cylinder of the same base area to have the same volume, the cone must be 3 times as high.

The figures described as having that relationship are ...

  cone Z, cylinder Y

_____

Additional comment

The perimeter of a prism is not sufficient to define its base area, unless the shape of the base is well-enough defined. However, the perimeter of the base is useful for determining the lateral surface area. Unfortunately, that is not of any interest in this problem.

Answer:

.5 < x < 16.5

Step-by-step explanation:

The smallest x  can be is greater than the difference of the other two sides

8.5 -8 = .5

The largest x can be the less than the sum of the two sides

8.5+8 = 16.5

.5 < x < 16.5

Answer:

C. $2.70

If one pound of apples cost 3 times the amount of a pound of bananas, then a pound of apples costs; $2.70.

The cost per pound of apples will be $2.70, which is the correct answer would be option (C).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let the cost per pound of apples be x, and the cost per pound of banana be y

She spent a total of $9.90 on 3 pounds of apples and 2 pounds of bananas.

So, 3x + 2y = 9.90 ....(i)

And the apple cost 3 times as much per pound as bananas.

So, x = 3y

y = x/3  ....(ii)

Substitute the value of y = x/3 in the equation (i), and solve

3x + 2(x/3) = 9.90

3x + 2x/3 = 9.90

11x/3 = 9.90

11x = 2.97

x = 2.97/11

x = 2.70

Thus, the cost per pound of apples will be $2.70.

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Answer:

Option A.) $162

Alex pays  $162 in finance charges.

An installment plan is a way of buying goods gradually. You make regular payments to the seller until, after some time, you have paid the full price and the goods belong to you.

According to the question

The cost Price of the motor bike is $3,500.

10% down payment = $350

The amount that needs to be financed = $3500-350=$3150

Time Period = 12 months

Each installment = $276

Total amount paid = $276* 12 = $3312

Therefore Alex pays $3312-3150 = $162 in finance charges.

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Answer:

(-2 ; -5)

Step-by-step explanation:

7*x - 2*y = -4

(7/2)*x - (2/2)*y = -4/2

(7/2)*x - y = -2

(7/2)*x + 2 = y

3*x - 5*y = 21 - 2

3*x - 5*y = 19

3*x - 5*[(7/2)*x + 2] = 19

3*x - 35/2*x - 10 = 19

- 29/2*x = 29

- 1/2*x = 1

x = -2

⇒ y = -5

Answer : (-2 ; -5)

Answer:

Well the following inequality [tex]x<-3[/tex] as a graph is in the image below.

Answer:

The quotient is 10x + 16

The remainder is 28x² + 10x + 22

Step-by-step explanation:

x³ - 3x² + x - 2) 10x⁴ - 14x³ - 10x² + 6x - 10 (10x + 16

                       10x⁴ - 30x³+ 10x² - 20x

                                16x³ - 20x² + 26x - 10

                                16x³ - 48x² + 16x - 32

                                          28x² + 10x + 22

Therefore, the quotient is 10x + 16

The remainder is 28x² + 10x + 22

Answer:

8x -12

Step-by-step explanation:

Use the distributive property. 16 outside wishes to go inside and multiply each term; you get 16x/2 which is 8x minus ¾ of 16 which is 12.

Answer:

2x-3y

Step-by-step explanation:

To expand this expression, use the distributive property.

[tex]-\frac{1}{4}(-8x+12y)[/tex]

To distribute, multiply each term inside the parentheses by the number outside the parentheses.

[tex](-\frac{1}{4}*-8x)+(-\frac{1}{4} *12y)[/tex]

Multiply -1/4 and -8x first.

[tex]((-\frac{1}{4}*-8)x)+(-\frac{1}{4} *12y)[/tex]

[tex]2x+(-\frac{1}{4} *12y)[/tex]

Next, multiply -1/4 and 12y.

[tex]2x+ ((-\frac{1}{4} *12)y)[/tex]

[tex]2x+ -3y[/tex]

A +- becomes a -

[tex]2x-3y[/tex]

Answer:

15%

Step-by-step explanation:

25% fail math

60% of the 25% above fail science

thus,

[tex] \frac{25}{100} \times 60\%[/tex]

=15% of total student

Answer:

I think the answer is undefined because the question above is an expression of f of x not a statement of variation which should have a constant of proportionality

Answer:

A number line going from Negative StartFraction 8 over 10 EndFraction to 0 in increments of StartFraction 1 over 10 EndFraction

(2nd option)

Step-by-step explanation:

When you add the 2 fractions together: -7/10 + 4/10 = -3/10

We need to find a number line that has -3/10 in it. The best answer choice is the 2nd option because we can go backwards to find the answer from positive 3/10 to our answer -3/10 (we are going -7 units backwards).

Answer:

First choice

Step-by-step explanation:

Sum of fractions:

the interval required on the line from the left of - 7/10 to the right of -3/10

Which number line would be best to find this sum?

-8/10 to 0  

-3/10 to 3/10

4/10 to 11/10

0 to 15/10

Answer:

B 30% you can divide 160 the total by 10then multiply and you can check B and C

Answer:

1. not possible, 2. a. 65 b. 115  c.115

Step-by-step explanation:

def. sup. <

vertical angles post.

corresponding angles thm.

Answer:

Step-by-step explanation:

(a)  27 degrees:  complementary angle is (90 - 27) degrees, or 63 degrees; recall that complementary angles add up to 90 degrees.  

(b)  Since supplementary angles add up to 180 degrees, we subtract 105 degrees from 180 degrees, obtaining the supplementary angle 75 degrees.  There's no complementary angle here, because 105 degrees is greater than 90 degrees.

(c) complementary angle is (90 - 18) degrees, or 72 degrees; supplementary angle is (180 - 18) degrees, or 162 degrees.

Answer:

Surface area = 80.4 cm²

Step-by-step explanation:

The diagram of both cylinders is attached below for a better understanding.

Surface area = 2πrh + 2πr²

236 = 2(3.14)(5)r + 2(3.14)r²

236 = 31.4r + 6.28r²

236 = 6.28(r² + 5r)

35.58 = r² + 5r

r = 3.97 cm

Two cylinders are in proportion if their heights and radius are in proportion:

Ratio of height of small cylinder to big cylinder = 3/5 = 0.6

So ratio of radius of both is also 0.6

Let R be the radius of small cylinder

ratio of radius of small cylinder to big cylinder = R / 3.97

R = (0.6)(3.97)

R = 2.38

R = 2.38cm and h = 3 cm

Surface area = 2πrh + 2πr²

Surface area = 2(3.14)(2.38)(3) + 2(3.14)(2.38)²

Surface area = 80.4115cm²

Round of to nearest tenth

Surface area = 80.4 cm²

Answer:

C = (2,2)

Step-by-step explanation:

B = (10 ; 2)

M = (6 ; 2)

C = (x ; y )

|___________|___________|

B (10;2)            M (6;2)             C ( x; y)

So:

dBM = dMC

√[(2-2)^2 + (6-10)^2] = √[(y-2)^2 + (x - 6)^2]

(2-2)^2 - (6-10)^2 = (y-2)^2 + (x - 6)^2

0 + (-4)^2 = (y-2)^2 + (x - 6)^2

16 = (y-2)^2 + (x - 6)^2

16 - (x - 6)^2 = (y-2)^2

Also:

2*dBM = dBC

2*√[(2-2)^2 + (6-10)^2] = √[(y-2)^2 + (x - 10)^2]

4*[(0)^2 + (-4)^2] = (y-2)^2 + (x - 10)^2

4*(16) = (y-2)^2 + (x - 10)^2

64 = (y-2)^2 + (x - 10)^2

64 = 16 - (x - 6)^2 + (x - 10)^2

48 = (x - 10)^2 - (x - 6)^2

48 = x^2 - 20*x + 100 - x^2 + 12*x - 36

48 = - 20*x + 100 + 12*x - 36

8*x = 16

x = 2

Thus:

16 - (x - 6)^2 = (y-2)^2

16 - (2 - 6)^2 = (y-2)^2

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

16 - 16 = (y-2)^2

0 =  (y-2)^2

0 = y - 2

2 = y

⇒ C = (2,2)

Answer:

A square

Step-by-step explanation:

Since the base is a square, any plane of the pyramid parallel to the base is shaped like a square (except the very top one which is a point).

Square shape will you get if you take a cross section of a square pyramid parallel to its base

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

'A square pyramid is a  three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called vertex) is called a square pyramid.'

According to the given problem,

If a square pyramid is cut along the plane, then the cross-section of the solid is square. Because it is a square pyramid.

Hence, we concluded that square could be formed by slicing the square pyramid by a plane.

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Answer:

zero or undefined

Answer:

it's d zero.

Step-by-step explanation:

just took the test

Answer:

Yes, it passes the vertical line test

Step-by-step explanation:

This graph has a one to one correspondence and will pass the vertical line test, there fore it is a function

Answer:

Let the fourth angle be x

Angles in a quadrilateral add up to 360°

To find the fourth angle add all the known angles and subtract them from 360°

That's

x + 120+37+48=360

x + 205 = 360

x = 360-205

x = 155°

Therefore the fourth angle is 155°

Hope this helps

Answer: 5 hours and 15 mins

Step-by-step explanation: 45 mins x 7 = 5 hours and 15 mins. I checked so it should be correct. [tex]45x2= 1[/tex]hour and 30 mins.So I multiplied 1 hr 30 x 3 which gave me 4 hr 30 then added 45 mins, then I got 5 hr 15 min.

So in conclusion the answer is 5 hours and 15 mins.

                                                                                                 Thank You                                                                      

Answer:

True

Step-by-step explanation:

24^2 = 576

10^2 =100

576+100=676

26^2=676

Answer:

True

Step-by-step explanation:

Use the pathagorean theorum:

a squared +b squared=c squared

(the numbers squared)

676, 576, 100

a=576 b=100 c=676

because 676=576+100