Find the slope of the line in the image below.

Answer:

[tex]( x + 15)(x-15)[/tex]

Step-by-step explanation:

[tex]x^2-225[/tex]

[tex]\mathrm{Rewrite\:}225\mathrm{\:as\:}15^2[/tex]

[tex]=x^2-15^2[/tex]

[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]

[tex]x^2-15^2=\left(x+15\right)\left(x-15\right)[/tex]

[tex]\mathrm{\left(x+15\right)\left(x-15\right)}[/tex]

~Learn with Lenvy~

Answer:

x ≤ 24

Step-by-step explanation:

Note: we can treat this as a normal equation

First, we can subtract 10 from both sides to get x/4 ≤ 6

Next, multiply both sides by 4 to get x ≤ 24

Answer: x ≤ 24

Hope this helps!

b, i think is b and im to crazy to right the solution :))

Check the picture below.

The perimeter of the given triangle is 73.8 inches.

The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.

The length of the altitude is 25 inches, and the length of the base is 20 inches.

Using the Pythagoras theorem, to find the hypotenuse of the triangle :

Hypotenus = √(25² + (20/2)²)

Hypotenus = √(625+ 100) = √725= 26.9  inches

The perimeter of a triangle :

(base + side 1 + side 2) = (20 + 26.9 + 26.9 ) = 73.8 inches

Therefore, the perimeter of the triangle is 73.8 inches.

Learn more about the perimeter of a triangle here:

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#SPJ2

Answer:

(-3, -6)

explanation:

When reflected across x axis, the x value will be same and y value will become negative.

original coordinates of D: (-3, 6)

Answer:

The no. of boys = 20

The no. of girls = 12

Step-by-step explanation:

Ratio of no. of boys to girls = 5 : 3

[5 multiplied with something, and 3 multiplied with something, added together makes 32.Thus, that something = x]

5x + 3x = 32

= 8x = 32

=x = 32÷8 = 4

5x = 5 x 4 = 20

3x = 3 x 4 = 12

boys : girls = 5 : 3 (total ratio = 8)

boys = 5/8 x 32 = 20

girls = 3/8 x 32 = 12

Answer:

(5, 4)

Step-by-step explanation:

Use the formula at the top of the page:

(x, y)⇒(y, -x)

So, in this case, x = -4 and y = 5.

Use the formula, and you get:

(-4, 5)⇒(5, 4) ------ A negative number with a minus in front of it becomes a positive number.

answer 33

because i had abd and ur mum jk but yea

Answer:

17792.3792

Step-by-step explanation:

:))))))

Answer:

Area= [tex]\frac{1}{2}[/tex]bh

Step-by-step explanation:

so, A=  [tex]\frac{1}{2}[/tex](21)(3)= 31.5 [tex]m^{2}[/tex]

Answer:

Area = 31.5

Step-by-step explanation:

[tex]A=\frac{H_bb}{2}=\frac{3*21}{2}=31.5[/tex]

~Learn with Lenvy~

Answer:

2:00 PM

Step-by-step explanation:

time per student = 60 mins = 1 hr

number of student = 4

time of break = 10 mins

hr : mins

start: 9:30 AM

student 1: 1

break: 10

student 2: 1

break: 10

student 3: 1

break: 10

student 4: 1

[tex] - - - - - - [/tex]

13:60 --> 1 hr

= 14:00

2:00 PM (ANS)

Answer:

Let's understand the solution in detail.

Explanation:

Given: 5x = 3y

We can rearrange it as y = 5x / 3

Hence, we see that y ∝ x, and the equation is of the form y = kx, where k is the proportionality constant. This denotes that y varies directly with x.

Here k = 5 / 3.

Hence, the equation represents a direct variation, and the constant of variation is k = 5 / 3.

JK=LM (line from any point of circumference to another pointer of circumference)

Answer:

Carla: 65 * 0.20 = $13 Joe: 80 * 0.18 = $14.40 Joe received higher tips :) hope this helps

Answer:

  40.4

Step-by-step explanation:

We don't have access to your drawing tools, so we have used our own. The attachment shows the triangle and the angle.

  ∠ABC ≈ 40.4°

Answer:

I think its 4 2 because I did thetheath for miles and it was 42 times and no dont say im copying the person that commented the answer no im.im.not and if u still think it is then no im not just saying im not copying the person answer

Step-by-step explanation:

Answer:

[tex] A = \dfrac{512 \pi}{3}~ft^2 [/tex]

Step-by-step explanation:

area of sector, A:

[tex]A = \dfrac{n}{360^\circ}\pi r^2[/tex]

n = measure of the central angle of the sector in degrees

r = radius of circle

Here we have n = 240°, and r = 16 ft.

[tex]A = \dfrac{240^\circ}{360^\circ}\pi \times (16~ft)^2[/tex]

[tex] A = \dfrac{2}{3}\pi \times 256~ft^2 [/tex]

[tex] A = \dfrac{512 \pi}{3}~ft^2 [/tex]

The value of PM is the circle is about 11.66 cm

Pythagoras theorem is used to show the relationship between the sides of a right angled triangle.

From the diagram:

PM = PQ/2 = 20 / 2 = 10 cm

Hence, using Pythagoras:

PL² = LM² + MP²

PL² = 6² + 10²

PL = 11.66 cm

The value of PM is the circle is about 11.66 cm

Find out more on Pythagoras theorem at: https://brainly.com/question/343682

Answer:

3(5-y)

Step-by-step explanation:

Answer:

$2455.2

Step-by-step explanation:

40 rows * 22 seats per row = 880 seats total
880 * $2.79 = $2,455.20

The probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As, the probability of an event can not be more than the number 1.

Thus, the probability of failure of a event is equal to the difference of the 1 to the success of the event. As,

The data in the theoretical probability table for the fair spinner having 4 different color is listed below.

Yellow         Frequency

   0                 9

   1                 6

   2                 1

For the 4 different color (red, green, blue, yellow) and rotating the spinner two times, there is total 16 outcomes as,

{RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}

Total number of Y appear probability at one time in the table is 6. Thus the probability of the fair spinner landing only once on yellow in two spins is,

[tex]P=\dfrac{6}{16}\\P=0.375[/tex]

Hence, the probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

Learn more about the probability here;

https://brainly.com/question/24756209

Answer:

[tex]y = \frac{1}{5}x + 5[/tex]

Step-by-step explanation:

20y - 4x = 100

20y= 4x + 100

Divide everything by 20

20y/20 = y

4x/20 = 1/5x

100/20 = 5

y = 1/5x + 5 (that's the answer)

[tex]20y - 4x = 100\\20y = 4x + 100\\\frac{20y}{20} = \frac{4x}{20} +\frac{100}{20} \\y= \frac{1}{5}x +5[/tex]

Answer:

b. 43.96 yds

Step-by-step explanation:

Circumference of a circle =  π × 2 × radius

Take π as 3.14

3.14 × 2 × 7 = 43.96

Answer:

4

Step-by-step explanation:

area of circle= pi*r^2

50.24=3.14*x^2

50.24/3.14=16

50.24/3.14= x^2

16=x^2

4=x

Answer:

OPTION B

Step-by-step explanation:

so to fine the slope of the line of company R

You have to choose any two points from the table. example: (1,100) (2,125)

Slope=Y-Y/X-X=125-100/21-1=25/1=25

y=b+25x

you can see that company R charges 5$ less than Company P for each x.

Answer:

C

Step-by-step explanation:

150/5 would equate to 30, which would mean that the proportional relationship between the hours (x) and the amount of money per hour (y,30) would be represented as 30x