What is the equation of the line that passes through the point (-6, -3) and has a
slope of 0

Answer:

960 cm²

Step-by-step explanation:

Area of trapezoid: (a + b)(h)/2

A = (20 + 40)(32)/2

A = 60(32)/2

A = 1920/2

A = 960 cm²

The quotient of the expression in form of a + bi is 9/13 - 20/13i

Given the following expressions

1+6i/-3+2i

Rationalizing the given rational complex number, we will have;

= 1+6i/-3+2i * -3-2i/-3-2i

= (1+6i)(-3-2i)/9+4
= -3-2i-18i-12i²/13

Simplify the result to have:

= -3+12-20i/13
= 9-20i/13

Express in the form a + bi

9/13 - 20/13i

Hence the quotient of the expression in form of a + bi is 9/13 - 20/13i

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Answer:

157 if youre going by 3.14

157.08 if youre going by π

Step-by-step explanation:

you want to find the circumference

circumference is 2πr

the radius id 50/2=25, because radius is half of the diameter (the diameter is the length across a circle

2 * 3.141 * 25 = 157

The length of the path that goes around the outside of the circle stands at 157.08 meters.

A circle stands as a curve traced out by a point moving in a plane so that its distance from a given point exists constant; alternatively, it stands for the shape created by all points in a plane that exists at a set distance from a given point, the center.

Given that the boardwalk divides the circle area into two halves, and exists straight with a length of 50 meters. Thus, the straight Boardwalk exists within the length of the diameter of the circle.

Now, the perimeter of the circle exists the length of the path that goes around the outside.

Thus, the perimeter of the circle stands,

Perimeter = π × Diameter

        = π × 50 meters

        = 157.07963 meters ≈ 157.08 meters

Thus, the length of the path that goes around the outside of the circle exists 157.08 meters.

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Answer:

-5f

Step-by-step explanation:

Answer:

f(- 5) = 57

Step-by-step explanation:

substitute x = - 5 into f(x) , that is

f(- 5) = 3(- 5)² + 3(- 5) - 3

        = 3(25) - 15 - 3

       = 75 - 18

       = 57

Answer:

30

[tex]b = \sqrt{ {c}^{2} - {a}^{ {2} } }[/tex]

[tex]b = \sqrt{ {34}^{2} - {16}^{2} } [/tex]

[tex]b = \sqrt{1156 - 256} [/tex]

[tex]b = \sqrt{900} [/tex]

[tex]b = 30[/tex]

The answer to this question is in the picture which is 0.56% to 2dp

Answer:

5.60%

Step-by-step explanation:

We can use the formula for simple interest to solve this problem. The formula is:

[tex]\boxed{\bold{SI =\frac{ P * T* R}{100}}}[/tex]

Where:

If $4204 is invested at 4% per year simple interest for 7 years, the interest earned will be:

[tex]SI = \frac{4204 *4* 7}{100} = 1177.12[/tex]

In order to earn the same amount of interest of $1177.12, the investment of $4204 must be invested for 5 years at a simple interest rate of:

[tex]1177.12=\frac{4204*5*r}{100}[/tex]

Doing Criss cross multiplication

[tex]r=\frac{1177.12*100}{4204*5}[/tex]

r=5.60 %

To two decimal places, the interest rate r is 5.60 %.

Answer:

IK = 13.5

Step-by-step explanation:

A^2 + B^2 = C^2

(8.4)^2 + B^2 = (15.9)^2

70.56 + B^2 = 252.81

B^2 = 182.25

B =13.49925... ≈ 13.5 = IK

Scale factor is 5

So

Answer:

Points of kite JKLM:

J = (1, -2)

K = (2, -1)

L = (1, 2)

M = (0, -1)

To dilate a figure about a point, draw a line from the point to each point of the figure, then extend (or reduce) the line so that it is the length of the original line multiplied by the scale factor.

So to dialate JKLM about the origin by scale factor of 5, draw a line from (0, 0) to each point of the kite.  Extend the lines so that they are each 5 times the original lengths.  These are the dilated points

Points of kite dilated by sf 5 (shown in blue on the attached diagram):

J' = (5, -10)

K' = (10, -5)

L' = (5, 10)

M' = (0, -5)

Answer:

Circumference=18.84 m

Area = 28.26 [tex]m^{2}[/tex]

Step-by-step explanation:

Circumference = 2πr

                         = 2 x 3.14 x 3 (radius = 6/2 = 3)

                         = 18.84 m

Area = π[tex]r^{2}[/tex]

        = 3.14 x [tex]3^{2}[/tex]

        = 28.26 [tex]m^{2}[/tex]

Answer:

Circumference=18.84 m

Area = 28.26

Step-by-step explanation:

Step-by-step explanation:

Area of one side of the shed

5*4=20

she painted 4 sides so 20*4 =80

Triangle that is part of the pyramid as the roof of the shed has a side of 5. Using the Pythagorean theorem,

[tex]{5}^{2} - {2.5}^{2} =18.75[/tex]

we need to find the square root of 18.75 to find the height of the triangle which is

[tex] \sqrt{18.75} = 4.330127019[/tex]

that is the height

(base x height) /2 is the formula for a right triangle. there are 2 of these right triangles per side of the roof. so we need to multiply the numbers by 8

[tex]\frac{2.5 \times 4.330127019}{2} \times 8[/tex]

this number gives us 43.30127019

we can finally add that number to 80 to get the total surface area Zoe painted which is 123.3012702

Answer:

418 cm2

Step-by-step explanation:

Divide the figure into a square and a triangle. Find the area of each and add. Make sure you do not combine them, and do one at a time.

s2 = area of square

192 = 361 cm

BH= area of triangle

(6)(19) = 57 cm2

361 + 57 = 418 cm

Answer:

c= 418cm2

Step-by-step explanation:

good bye now human

Answer:

 B, or 4

Step-by-step explanation:

Since the line in the middle of the box plot shows the median it tells us that the median is 4

Answer:

4

Step-by-step explanation:

because it is the middle number

Answer:

I'm not 100% sure but it might be b

Step-by-step explanation:

16m2 – 24mn + 9n2

((16 • (m2)) - 24mn) + 32n2

(24m2 - 24mn) + 32n2

= (4m - 3n)2

Step-by-step explanation:

oh that is again something you can nicely envision :

the inner circle has a radius of 59 ft.

so, because of the 2 ft wide track the outer circle has a radius of 59+2 = 61 ft.

the circumference of a circle is

2×pi×r

the answer to the question is simply the difference bergen the 2 circumference values.

inner circle :

2×pi×59 = 118pi

outer circle :

2×pi×61 = 122pi

the difference is

122pi - 118pi = 4pi = 12.56637061... ft ≈ 12.6 ft

the wheel on the outer track travels about 12.6 ft farther than a wheel on the inner track in one full turn.

Answer:

Step-by-step explanation:

The amount of an investment P compounded n times per year at annual rate r for t years is ...

  A = P(1 +r/n)^(nt)

This formula is conveniently evaluated by a calculator or spreadsheet. In the attached, we made a version of it that only depends on the value of n, the number of compoundings per year. That is used to compute the numbers shown in the attachment, and copied to the Answer block above.

__

Continuously compounded interest results in an account balance computed using the formula ...

  A = Pe^(rt) . . . . where the variables have the same definitions as above.

For P=7000, r=0.08, t=13 years, the continuously-compounded account will have a balance of ...

  A = 7000e^(0.08·13) = 7000e^1.04 ≈ 19,804.52 . . . . dollars

Answer: 7

Step-by-step explanation: there are 4 full circles so that equals 4. 1+1=2, 1/8+7/8=1. 4+2+1=7

See the diagram below.

The 7/8 and 1/8 combine to 8/8 = 1. So we add an extra pie to the original two full pies to get 3 total.

Answer:

This is my notes

Step-by-step explanation:

The value of angles are,

⇒ ∠ACB = 48°

⇒ ∠CBA = 48°

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

A, B, and C lie on the circumference of the circle.

And, X, A and Y lie on a tangent to the circle.

Now, We get;

⇒ ∠XAC + ∠CAB + ∠BAY = 180°

⇒ 63° + ∠CAB + 69° = 180°

⇒ ∠CAB = 180 - 132

⇒ ∠CAB = 48°

Hence, We get;

⇒ ∠ACB = 48°

⇒ ∠CBA = 48°

Thus, The value of angles are,

⇒ ∠ACB = 48°

⇒ ∠CBA = 48°

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Here is the constructed frequency distribution table:

Number of visits   Number of students

0 - 1                            5

2 - 3                             9

4 - 5                           11

6 - 7                            5

8 - 9                            8

10 - 11                         2

A frequency table is used to arrange a large amount of data using their frequency. The class width is the difference between the upper boundary and the lower boundary.

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The radius of the silo is the distance from its center to the outside wall

The radius of the silo is 7 3/8" or 7 3/8 inches

From the question, we have the following parameters:

The radius is then calculated as:

Radius = 0.5 * Diameter

This gives

Radius = 0.5 * 14 3/4"

Evaluate the product

Radius = 7 3/8"

Hence, the radius of the silo is 7 3/8" or 7 3/8 inches

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[tex]\text{Area of rectangle} = \text{length} \times \text{width}\\\\~~~~~~~~~~~~~~~~~~~~~~~=4 ~\text{ft}~\times ~2 ~\text{ft}\\\\~~~~~~~~~~~~~~~~~~~~~~~=8~ \text{ft}^2\\\\~~~~~~~~~~~~~~~~~~~~~~~=1152~\text{in}^2[/tex]

A, B and C working together will finish same piece of work in 10 days

A can do a piece of work in 20 days. That is A is doing the work at a rate of  1 / 20. Therefore

B = 1 / 30

C = 1 / 60

A, B and C working togehter their rate will be added together =

A + B + C =  1 / 20 + 1 / 30 + 1 / 60 = 1 / 10

so they can work together to finish same piece of work in 10 days

Step-by-step explanation:

1. 8:05

2. 12:45

3. 10:54

4. 1:20

5. 8:35

6. 2:50

7. 5:18

8. 7:44

9. 1:30

10. .12:12

Answer:

5x10x9 Is the correct answer meaning that the answer is 450

Brainliest would be very appriciated

Step-by-step explanation:

EDIT: my bad i read the question wrong, the answer is D:450

sorry for any confusion ;^;

The slope is m = 3.5; and the y-intercept is b = -6

From the question, we are to determine the slope and the y-intercept of the line.

The slope of a line can be determine by picking any two points on the line.

Then applying the formula,

[tex]m =\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]

Where m is the slope

Picking the points (2,1) and (0,-6).

∴[tex]x_{1} = 2[/tex]

[tex]x_{2} = 0[/tex]

[tex]y_{1}=1[/tex]

[tex]y_{2}=-6[/tex]

Then, the slope of the line in the graph is

[tex]m = \frac{-6-1}{0-2}[/tex]

[tex]m =\frac{-7}{-2}[/tex]

m = 3.5

For the y-intercept

The y-intercept is the point where the graph intersects the y-axis

From the graph,

The point where the line intersects the y-axis is -6.

∴ y-intercept, b = -6

Hence, the slope is m = 3.5; and the y-intercept is b = -6

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