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Answer:

180-78=102

Step-by-step explanation:

Answer:

706.86, or [tex]\pi[/tex]15^2 if you just need that part and not the decimal.

Step-by-step explanation:

The radius is half of the diameter.

30/2 = 15

r = 15.

To find the area, use the formula [tex]\pi[/tex]r^2

[tex]\pi[/tex]15^2 = 706.86

Answer:

x = 5.5

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

31 = x + 25.5

Step 2: Solve for x

Answer:

X = 11/2

Step-by-step explanation:

hope this helps and have a safe and joyful holiday

Answer:

Slope = 0.1 or 1/10

Y-int. = 15

Step-by-step explanation:

We have points (0,15), (3,45), (6,75), and (9,105).

slope is rise over run, or rise/run.

So, 9-3/105-45=6/60

now, simplify 6/60.

6/60=1/10 or 0.1

We already have the y-intercept, (0,15), because that's what intercepts the y-axis.

The slope of the line is 10.

The y-intercept of the line is 15.

Locate two points on the graph, choosing points whose coordinates are integers. We will use (3, 45) and (9, 105).

Starting with the point on the left, (3, 45) going from the first point to the second point, (9, 105).

The rise on the vertical leg of the triangle = (105 - 45) = 60

The run on the horizontal leg of the triangle = (9-3) = 6

Use the slope formula.

[tex]m = \frac{rise}{run}[/tex]

[tex]m=\frac{60}{6} =10[/tex]

The slope of the line is 10.

The y-intercept of a graph is the point where the graph crosses the y-axis. (Because a function must pass the vertical line test, a function can have at most one y-intercept.

the y-intercept of the line is 15.

Therefore, The slope of the line is 10 and the y-intercept is 15.

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Answer:

Machine 1: 165

Machine 2: 210

Step-by-step explanation:

Machine 1: 11 bottle per minute

11 * 15 = 165 labeled bottles per minute

Machine 2: 14 bottles per minute

14*15 = 210 labeled bottles per minute

Answer:

1.) slope = 2

2.) slope = [tex]-2\frac{2}{3}[/tex]

3.) slope = [tex]\frac{2}{3}[/tex]

4.) slope = [tex]\frac{1}{4}[/tex]

5.) slope = [tex]1\frac{8}{9}[/tex]

6.) slope = -2

7.) slope = -3

Step-by-step explanation:

In order to find the slope we have to divide they "y" value (the number of units by which the piece of antler goes up) by the "x" value the number of units by which the piece of antler goes to the side). Notice the if the antler moves to the left as it foes up then the "x" value is negative.

Now as I said before we know this......

Let "m" be the slope, then....

[tex]m = \frac{y}{x}[/tex]

So now we just have to plug in the y and x values for each antler and we will get the slopes for each one of them.

1.)

[tex]m = \frac{y}{x}[/tex]

[tex]m= \frac{4}{2}[/tex]

[tex]m = 2[/tex]

2.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{4}{-1.5}[/tex]

[tex]m = -2\frac{2}{3}[/tex]

3.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{2}{3}[/tex]

4.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{1}{4}[/tex]

5.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{8.5}{4.5}[/tex]

[tex]m = 1\frac{8}{9}[/tex]

6.)

[tex]m = \frac{y}{x}[/tex]

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

[tex]m= -2[/tex]

7.)

[tex]m = \frac{y}{x}[/tex]

[tex]m = \frac{3}{-1}[/tex]

[tex]m = -3[/tex]

Answer:

domain = { 4, -2, 6, 9 }

range = { -3, 6, 0, 9 }

Step-by-step explanation:

(x, y)

x = domain

y = range

Answer:

The notation g(10) means g(x=10).  So just set the x-value in g(x) equal to 10:

g(x) = -3x + 1

g(10) = -3*10 + 1

Can you finish it from here?

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Answer:

4n+2 (B)

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

because the value of terms are going up by 4 every time, so if you subtract 4 you get 2 and the position would be 0 making 2 the y-intercept and then slope is= rise/run and the equation is rising 4 units for every 1 unit moved, so the slope is 4/1 or 4. plug all of that into the equation and you get 4n + 2

Answer:

b. 14 + (112 ÷ n)

Step-by-step explanation:

En esta pregunta la opcion que deberiamos elegir seria 14 + (112 ÷ n). En esta expresion primero se divide 112 por algun numero que es representado por el variable n. Luego de obtener el cociente de esta division, se le agrega 14 al cociente. Esto nos daria un valor nuevo y representa perfectamente la frase en esta pregunta... catorce más que el cociente de ciento doce y algún número

Answer:

b

Step-by-step explanation:

b

Answer:

sameeeeeeeeeeeeee

Step-by-step explanation:

Answer:

haha same here good luck though.

Answer:

L = V/wh

Step-by-step explanation:

you have to get L by its self so on the original move the letters around to get it by its self. Imagen it’s like soliving for X

[tex] distance = | \frac{(- 4 \times 1) + (- 1 \times 1)-7}{ \sqrt{ {( - 4)}^{2} + {( - 1)}^{2} } } | \\= \frac{ - 12}{ \sqrt{17 } } \\ = \frac{ - 12 \sqrt{17} }{17} \\ = - 2.91[/tex]

Answer:

The coordinates of point P are (-1, -1)

Step-by-step explanation:

The coordinates of the partition point (x, y) of a line segment whose endpoints are (x1, y1) and (x2, y2) at ratio m: n are

∵ P partitions segment HS in a ratio 2: 3

∴ P = (x, y)

∴ m = 2 and n = 3

∵ H = (5, -9) and S = (-10, 11)

∴ x1 = 5 and x2 = -10

∴ y1 = -9 and y2 = 11

→ Substitute them in the rule above to find x and y

∵ x = [tex]\frac{2(-10)+3(5)}{2+3}[/tex] = [tex]\frac{-20+15}{5}[/tex] = [tex]\frac{-5}{5}[/tex]

∴ x = -1

∵ y = [tex]\frac{2(11)+3(-9)}{2+3}[/tex] = [tex]\frac{22-27}{5}[/tex] = [tex]\frac{-5}{5}[/tex]

∴ y = -1

∴ The coordinates of point P are (-1, -1).

Answer:

$84

Step-by-step explanation:

21x4=84

25x4=100

Answer:

36m+ 25

Step-by-step explanation:

Answer:

Step-by-step explanation:

As per the diagram we got:

As FH = 7x + 4 and EH = 9x - 2, we solve the following equation for x:

So each segment is:

Therefore:

So the variables are:

Answer:

5²x²- 49

Factoring: 25x2-49

A difference of two perfect squares, A²- B²can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A²- AB + BA - B²=

A² - AB + AB - B² =

A²- B²

25 is the square of 5

49 is the square of 7

x²is the square of x¹

(5x + 7) • (5x - 7)

Answer:

The answer is A.

Step-by-step explanation:

This is because the Triangle is being rotated counter clockwise 90 degrees, then reflected over the Y axis.

So, point (-6, 8) would become (-8, -6), and so forth.

Answer:

2d

Step-by-step explanation:

Answer:

The final answer is correct.

Answer:

387

Step-by-step explanation:

129x3=387

Answer:

129 x 3 = 387ft

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

-Reflection only

-rotation, then translation

Reflection  and rotation, then translation is the transformation(s) can be used to map one triangle onto the other.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The triangles are congruent by SSS

JKL and MKL are the two triangles which sharing same segment KL.

A reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points this set is called the axis or plane of reflection.

Rotation, then translation is also used in the given triangle.

Hence, reflection  and rotation, then translation is the transformation(s) can be used to map one triangle onto the other.

To learn more on Triangles click:

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Answer: X = - 5

Step-by-step explanation:

21 / - 4.2 = -5

Answer:

[tex]\huge\boxed{\sf x = -5}[/tex]

Step-by-step explanation:

-4.2x = 21

Divide both sides by -4.2

-4.2 x / -4.2 = 21 / - 4.2

x = -5

We gotta divide -4.2 instead of 4.2.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

[tex]3a - 21[/tex]

Step-by-step explanation:

Given

[tex]3(a - 7)[/tex]

Required

Simplify

To do this, we apply distributive property;

[tex]3(a - 7)= 3 * a - 3 * 7[/tex]

[tex]3(a - 7)= 3a - 21[/tex]

Hence, the simplified form is [tex]3a - 21[/tex]

Answer:

correct

Step-by-step explanation:

3(4)-2(4)+8=12

12-8+8=12

12=12

Answer:

254.762

Step-by-step explanation:

Answer:

256.25 miles.

Step-by-step explanation: