What is the sum of the measures of the interior angles of an octagon? Enter your answer in the box.

The distance between the given points is 13 units.

We have two coordinate points  A(8, -4) and B(3, 8).​

We have to determine the distance between these two points.

The distance between two points -

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

According to the question, we have -

Coordinates of 1st point -  A(8, -4)

Coordinates of 2nd point -  B(3, 8)

Using the distance formula given -

d = [tex]\sqrt{(3-8)^{2} + (8-(-4)^{2} }[/tex]

d = [tex]\sqrt{(-5)\times (-5) + (12)\times (12)}[/tex]

d = [tex]\sqrt{25 + 144}[/tex]

d = [tex]\sqrt{169}[/tex]

d = 13 units

Therefore, the distance between the given points is 13 units.

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Answer:

there is a button on the side of your keyboard that turns off all caps

ACTUAL ANSWER: 1 dollar a pound

Step-by-step explanation:

Answer:

The two parallel sides a and b are 17 cm and 23 cm respectively

Step-by-step explanation:

Area of a trapezium = {(a+b)/2} h

Where

h = height = 18 cm

a = parallel side 1 = x

b = parallel side 2 = x + 6

Area of a trapezium = {(a+b)/2} h

360 = {(x + x + 6) / 2} 18

360 = { (2x + 6) / 2} 18

360 = (2x + 6) 9

360 = 18x + 54

Subtract 54 from both sides

360 - 54 = 18x

306 = 18x

Divide both sides by 18

x = 306 / 18

= 17

x = 17 cm

a = parallel side 1 = x

x = 17 cm

b = parallel side 2 = x + 6

x + 6

= 17 + 6

= 23 cm

Step-by-step explanation:Step 1: Simplify both sides of the equation.

4−(2y−1)=2(5y+9)+y

4+−1(2y−1)=2(5y+9)+y(Distribute the Negative Sign)

4+−1(2y)+(−1)(−1)=2(5y+9)+y

4+−2y+1=2(5y+9)+y

4+−2y+1=(2)(5y)+(2)(9)+y(Distribute)

4+−2y+1=10y+18+y

(−2y)+(4+1)=(10y+y)+(18)(Combine Like Terms)

−2y+5=11y+18

−2y+5=11y+18

Step 2: Subtract 11y from both sides.

−2y+5−11y=11y+18−11y

−13y+5=18

Step 3: Subtract 5 from both sides.

−13y+5−5=18−5

−13y=13

Step 4: Divide both sides by -13.

−13y

−13

=

13

−13

y=−1

 Answer: y =-1

Here, this is a linear equation in one variable because only one variable is there, y. We need to find the solution i.e the value of y.

Given, equation:

[tex]4 - (2y - 1) = 2(5y + 9) + y[/tex]

We need to find y, So let's isolate y in any one side of the equation. Before that, let's open the parentheses.

[tex]4 - 2y + 1 = 10y + 18 + y[/tex]

[tex]5 - 2y = 11y + 18[/tex]

Now, let's add 2y to both sides, So that -2y on the left hand side gets cancel.

[tex]5 - 2y + 2y = 11y + 18 + 2y[/tex]

[tex]5 = 13y + 18[/tex]

Flipping the equation for easy calculation,

[tex]13y + 18 = 5[/tex]

Solving further,

[tex]13y = - 13[/tex]

[tex]y = \frac{ - 13}{13} [/tex]

[tex] \boxed{y = - 1}[/tex]

Hence, we are done !!

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Answer:

(5,7)

Step-by-step explanation:

Answer:

M= 7/3 hope that helps ya out

12^2 - s^2 is area of the large square minus area of the smaller square. It's the only correct option.

An expression is defined as a set of numbers, variables, and mathematical operations. The expression represents the area of the frame in square inches is 12² - s².

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The area of the two squares can be written as,

Area of the larger square = 12²

Area of the smaller square = s²

Now, The area of the frame

= Area of the larger square - Area of the smaller square

= 12² - s²

Hence, the expression represents the area of the frame in square inches is 12² - s².

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Answer:

RP is the correct amswer.

Step-by-step explanation:

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Greetings from Brasil...

First degree equation. The variables are in the 1st member and the numbers in the 2nd member.

X + 6 - 2X = X - 24

X - 2X - X = - 24 - 6

- 2X = - 30

Answer:

2.5(x-1)+4.5(-x-2)

2.5x-2.5-4.5x-9

-2x-11.5

Step-by-step explanation:

Answer:

2x-11.5

Step-by-step explanation:

[tex]2.5(x-1)+4.5(-x-2)\\2.5x-2.5+4.5x-9\\2.5+2x-9\\2x-11.5[/tex]

hope this helps

Answer:

-13

Step-by-step explanation:

Subsitude -2 to where x is and you get -1o then subtract by -3 and the total is -13

Answer:

R'(4, -1)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and reflection.

If a point A(x, y) is  rotated 90° counterclockwise about the origin, the new point is A'(-y, x)

From the image attached, below are the location of the points:

P(-3, -1), Q(-1, -1), R(-1, -4) and S(-3, -4)

If point R(-4, -1) is rotated 90° counterclockwise about the origin, its new location would be at R'(4, -1)

Step-by-step explanation:

[tex]y = 2x - 4[/tex]

[tex]3x + y = 1[/tex]

[tex]y = 1 - 3x[/tex]

Equating,

[tex]2x - 4 = 1 - 3x[/tex]

[tex]2x + 3x = 1 + 4[/tex]

[tex]5x = 5[/tex]

[tex]x = 1[/tex]

Placing it,

[tex]y = 1 - 3( 1)[/tex]

[tex]y = 1 - 3[/tex]

[tex]y = - 2[/tex]

Answer:

Yes, because of the fact that (+)(+)=+, but (-)(+)=-

Step-by-step explanation:

the remainder is - 1

when (x ³ - 7x + 5) is divided by (x + 3) the remindeer is f( -3 )

x + 3 = 0 => x = - 3

f(-3) = (-3)³ - 7(-3) + 5

= - 27 + 21 + 5

= - 1

Answer:

The measure of angle A is 53 degrees

The measure of angle B is 37 degrees

Step-by-step explanation:

Here in this question, we are interested in calculating the measure of the two angle.

When how angles are complementary, it means the sum of both equals 90 degrees

mathematically ;

(7x + 4) + (4x + 9) = 90

7x + 4x + 4 + 9 = 90

11x + 13 = 90

11x = 90-13

11x = 77

x = 77/11 = 7

The measure of angle A = 7x + 4 = 7(7) + 4 = 49 + 4 = 53 degrees

The measure of B = 4x + 9 = 4(7) + 9 = 28 + 9 = 37 degrees

Answer:

5y-35

Step-by-step explanation:

since we don't know what y is you have to multiply y and 7 by 5 and you'd get 5y and 35 and then just add the subtraction and bam there's your answer

Answer:

The y-intercept of the line would be (C) 8

Step-by-step explanation:

The slope of the line with the equation y = -3x - 5 is -3. When figuring out a slope perpendicular to another line you would use the negative reciprocal of the slope which would lead to the slope of the line to be 1/3.

We know it passes through the point (-3,7), substituting x and y, we would then get our new equation, [tex](7) = \frac{1}{3}( -3) + b[/tex].

Solve the equation by multiplying -3 with 1/3 and the product would be -1. Add negative one on both sides and you would get 8 = b.

Answer:

2w-2=16

Step-by-step explanation:

w=9

2w-2

2(9)-2

18-2

16

Answer:

16

Step-by-step explanation:

When we have an expression and we are given the value of the variable, we can substitute inside the expression and find it’s value.

[tex]2w-2[/tex], we know [tex]w=9[/tex] so:

[tex](2\cdot 9) - 2[/tex]

[tex]2\cdot9=18[/tex]

[tex]18-2\\\\16[/tex]

Hope this helped!

Answer:

48 items

Step-by-step explanation:

6 packs of cupcakes with 4 in them, is 24 items. and 3 packs of candy with 8 pieces in them is also 24. 24+24=48. so (6×4)+(8×3)=48

Answer:

48

Step-by-step explanation:

Answer:

answer is b

Step-by-step explanation:

Answer: B

Step-by-step explanation:

-6.53, -6 1/4, 6.57, 6 3/4.

Answer:

24 buses

Step-by-step explanation:

In order to find the answer, we need to divide the number of students by the capacity of each bus. There are 800 students and each bus carries 34.

800/34=23.5

Since we can't have half of a bus, we round up to 24.

24 buses

Answer:

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Step-by-step explanation:

i googled it

Answer: The answer is A

Answer:

its A!!!! i just did it!

Step-by-step explanation:

Answer:

x = 3 , y = 1

Step-by-step explanation:

Solve the following system:

{y = x - 2 | (equation 1)

y = 7 - 2 x | (equation 2)

Express the system in standard form:

{-x + y = -2 | (equation 1)

2 x + y = 7 | (equation 2)

Swap equation 1 with equation 2:

{2 x + y = 7 | (equation 1)

-x + y = -2 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{2 x + y = 7 | (equation 1)

0 x+(3 y)/2 = 3/2 | (equation 2)

Multiply equation 2 by 2/3:

{2 x + y = 7 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 6 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 3 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = 3 , y = 1

[tex]\huge\boxed{\boxed{\bold{(3, 1)}}}[/tex]

[tex]\hrulefill[/tex]

I'm assuming you need to find the solution to this system of equations (where the lines intersect).

We can use the substitution method to solve this system. Take the value of [tex]y[/tex] from the second equation and substitute it into the first:

[tex]-2x+7=x-2[/tex]

Add [tex]2x[/tex] to both sides of the new equation:

[tex]7=3x-2[/tex]

Now add [tex]2[/tex] to both sides of the equation:

[tex]9=3x[/tex]

Divide both sides by [tex]3[/tex]:

[tex]\boxed{3}=x[/tex]

Now let's solve for [tex]y[/tex] by substituting the known value of [tex]x[/tex] into the first equation:

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

Simplify using subtraction:

[tex]y=\boxed{1}[/tex]

This means our solution is:

[tex]\large\boxed{(3, 1)}[/tex]

Answer:

I think the answer would be the fourth answer or the second answer.

sorry if its not the correct answer.

Step-by-step explanation:

D; 10.5x + 45 < 12.5x + 35

We are told that;

C_a = 10.5x + 45

Similarly, we are told that;

C_b = 12.5x + 35

Since we want to make C_a < c_b

Then, we will have;

10.5x + 45 < 12.5x + 35

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