The line y = mx + c passes through the points (-2, 1) and (4,4).
Write down a pair of simultaneous equations involving m and c.
Solve the simultaneous equations.

this is my answer but you need to check with your teacher

Answer:

Angle:

Find x

Angle

Find y

Angle:

Find n:

Angle addition postulate

Angle

Find x:

Angle

Find n:

Answer:

Total=600+70(x)

The average cost of the phone is C(x) = (600 + 70x)/x.

In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.

Given that,

The fixed price of the cellphone is $600.

And, the monthly plan is $70.

Now, the cost of the phone increases with the number of months and the average cost is the total cost divided by the number of months.

As per the question the average cost can be written as,

C(x) = (600 + 70x)/x

Where x is the number of months.

Hence, the average cost of the given phone can be written in terms of the function of month as C(x) = (600 + 70x)/x.

To know more about average click on,

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Answer:

Step-by-step explanation:

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Answer:

2x+22=42

Step-by-step explanation:

2x+22-22=42-22. which is 2x=20 divide both sides with 2,therefore the answer is 10

Answer:

The penguin will walk 75.15 feet in 45 seconds. It will take the penguin 26.95 seconds to walk 45 feet

Step-by-step explanation:

hope it helps !

Answer: 75 feet

Step-by-step explanation:

Answer:

let the no. of students in art class be x

then

9+4x=101

now u can solve it! u will get x = 23

Step-by-step explanation:

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Answer:

step 2

Step-by-step explanation:

BODMAS they multiplied first instead of dividing

Answer:

its either a or b not entirely sure on which

Step-by-step explanation:

the area of the rectangle is 180 (15x12) so it cant be 180 and the semicircle is smaller then the rectangle so it cant be more than 360 hope this helps

Answer:

236.5

Step-by-step explanation:

Sorry if it looks messy, I messed up in the middle!

Answer:

[tex] \sqrt{193} [/tex]

Step-by-step explanation:

Given,

Height of the triangle = 7

Base of the triangle = 12

Hypotenuse of the triangle = x

Therefore, According to Pythagoras Theorem,

[tex] {(hypotenuse)}^{2} = {(base)}^{2} + {(height)}^{2} [/tex]

[tex] {x}^{2} = {12}^{2} + {7}^{2} [/tex]

[tex] = > {x}^{2} = 144 + 49[/tex]

[tex] = > {x}^{2} = 193[/tex]

[tex] = > x = \sqrt{193} (ans)[/tex]

Answer:

25%

Step-by-step explanation:

Paso 1

Calcula la cantidad del contenedor que no estaba ocupado.

Esto se calcula como

Tamaño del recipiente: cantidad de líquido en el recipiente

= 120 lt - 90lt

= 30 litros

Paso 2

El porcentaje de la capacidad del tanque que está desocupado se calcula como:

= Capacidad del tanque que estaba desocupado / Capacidad del tanque × 100

= 30lt / 120lt × 100

= 25%

Answer: To find the area of a trapezoid, start by adding together the length of the bases, which are the 2 sides of the trapezoid that are parallel with each other. Then, multiply that number by the height of the trapezoid. Finish by dividing the product by 2 to find the area. Or check this image it can help u

Step-by-step explanation:

Answer:

9x² - 6x - 63

Step-by-step explanation:

Use the FOIL method. FOIL stands for First, Outside, Inside, Last.

Multiply following the FOIL:

3x * 3x = 9x²

3x * -9 = -27x

7 * 3x = 21x

7 * -9 = -63

9x² - 27x + 21x - 63

Combine like terms.

9x² (-27x + 21x) - 63

9x² - 6x - 63

9x² - 6x - 63 is your answer.

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Answer:

A' = (-2,0)

Step-by-step explanation:

imagine a mirror being along the line y=2.

Then A's mirror image would appear at -2,0.

Answer:

√6 × √6 × √6 = 6√6

Step-by-step explanation:

[tex] \rm \sqrt{6} \times \sqrt{6} \times \sqrt{6} [/tex]

[tex] \rm = \sqrt{36} \times \sqrt{6} [/tex]

[tex] \blue{\boxed{\rm = 6 \sqrt{6} }}[/tex]

the sale price is $18.75

Step-by-step explanation:

here's your solution

=> total money received by them = $1600

=> the given ratio are 7:5:4

=> let the ratio be X ,now

=> Maria = 7X

=> Carolina = 5X

=> Pedro = 4X

=> we know whole money = $1600

=> so, adding all

=>. 7x + 5x + 4x = $1600

=> 16x = $1600

=> x= $1600/16

=>. x = $100

now Maria = 7*100 = $700

Carolina = 5*100 = $500

Pedro = 4*100 = $400

hope it helps

Answer:

459

Step-by-step explanation:

Hope this helped!

Answer:

x ≤ - 2

Step-by-step explanation:

Given the inequality :

3x+5≤−1

Subtract 5 from both sides

3x + 5 - 5 ≤ - 1 - 5

3x ≤ - 6

Divide both sides by 3

3x/3 ≤ - 6/3

x ≤ - 2

Mr.Choe's error was that he changed the inequality sign. The inequality sign in this case does not need to be changed.

[tex]5\frac{1}{3} =\frac{16}{3}[/tex]

[tex]\frac{16}{3} -\frac{2}{3} \\=\frac{14}{3}[/tex]

Hope this helped!!!!!!!

Answer: 14



Step-by-step explanation: To get this answer you would first of all 6 more means we're adding.

Quotient means division. What we're dividing is an unknown quantity -- x -- and 3.

The final total says 14. That gives us the following:

6 + x/3 = 14

Answer: False, Step-by-step explanation: Genuine mechanical benefit and ideal mechanical benefit are not equivalent. Valid. Work yield can never be more prominent than work input.

Answer:

This is your answer ☺️☺️

Answer:

0.0083628

Step-by-step explanation:

Here is the answer

Answer:

Step-by-step explanation:

base = 784 sq in²  28 in tall pyramid

each side of the square base = √784   also equals 28

using the Pythagorean theorem the length of each side of the pyramid from the base to the point is

(side/2)² + height² =( length of the pyramid face)²

(28/2)² + 28²  = 196 + 784  = 980 =  (face length)²

face length = √980    =  31.3

area of the pyramid = 4 sides × area of each face + the area of the base

    =   4×[(1/2)(base)(face length)] + side²

    =   4(1/2)(28)(31.3) + 784

    =   2537 sq in²     Not in the solution set

Answer:

12

Step-by-step explanation:

the range is the difference between the highest and lowest data value

the lowest data value is zero and the highest is twelve