The graph of a system of linear equations is shown.
What is the solution of the system?
A. (3,-2)
B. (-2.5,3.5)
C. (3.5,-2.5)
D. (4,-2)

Answer:

third option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

y + 4 = 2(x - 3) ← distribute parenthesis

y + 4 = 2x - 6 ( subtract 4 from both sides )

y = 2x - 10 ← in slope- intercept form

The slope- intercept form of  the equation y+4=2(x−3) is y = 2x - 10 .

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given:

The equation is

 y+4=2(x−3)

We have to find the correct slope-intercept form of the equation.

The equation of a line in slope- intercept form is

y = mx + c

According to given question we have,

y + 4 = 2(x - 3)

Distribute parenthesis we get,

y + 4 = 2x - 6

subtract 4 from both sides  we get,

y = 2x - 10

Therefore , the  slope- intercept form of  the equation y+4=2(x−3) is y = 2x - 10 .

Learn more details about slope here:

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Answer:

D 30 square units

Step-by-step explanation:

count all the squares inside the triangle including the non full squares

Answer:

C. 25

Step-by-step explanation:

count the squares inside and the take two half ones and turn it into one

Answer:

1x-2

Step-by-step explanation:

you subtract 4x from 5x and you get 1x-2

Answer:

9x - 2

Step-by-step explanation:

combine like terms

ok I have no Idea just wanted to tell you your killua profile pic is cute

Answer:

Step-by-step explanation:

Amount charged = $5.00

Amount charged for per mile = $3.00

Miles traveled =

Total amount charged = $41.00

Total amount = $3 per mile - $5

41-5 = 35

Miles traveled= $35 ÷ $3

35÷3 = 11.66

Miles traveled = 11/11.66

Answer:

the avacodos cost 12

Step-by-step explanation: if you sutract 23 by 11 you get 12 and if you chek you ansewer by adding 12+11=23

The answer is $3.

Step-by-step explanation:

1.   Let's subtract 11 ($ remaining) from 23 ($ we had originally) to see how much we spent in total. (23 - 11 = 12)

2.  Divide 12 ($ spent) and 4 (Avocados bought) to find out how much each avocado cost. (12 ÷ 4 = 3)

Answer:

adjacent interior angle

Step-by-step explanation:

Answer:

1. Decreasing 2. Constant 3. Increasing 4. Constant

Step-by-step explanation:

:)

Answer:

Option A

Step-by-step explanation:

[tex]25w+200=750\\\\25w+200-200=750-200\\\\25w=550\\\\\frac{25w=550}{25}\\\\\boxed{w=22}[/tex]

Hope this helps.

Answer:

= 3/ 2

Step-by-step explanation:

Answer

5.25

Step-by-step explanation:

hint: anytime you see a - before (  and its not like (for example) -2 then you put a 1 like this -1(

2-1(4x+8)= -12

2-4x+7= -12

(combine like terms [2 and 7 in this case] )

9-4x= -12

(subtract 9)

-4x = -21

(divide by -4)

x=5.25

Hope this helps!

Answer:

The rate of change can be expressed with the formula x = Rise/Run And in this graph it rises 1 and runs 1 meaning you have a slope of 1/1 or 1 :)

Answer:

x = 50 + 40h

Step-by-step explanation:

you're welcimd

Answer:

24 1/4 cups of sugar.

Step-by-step explanation:

Simply take 6 and divide it by 1/4 to find how many 1/4 cups Jennifer has:

6 ÷ 1/4 = 24

Answer:

The answer is

[tex] \huge y = - \frac{1}{4} x - 6[/tex]

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is ( 8 , - 8) and slope -1/4

We have

[tex]y + 8 = - \frac{1}{4} (x - 8) \\ y + 8 = - \frac{1}{4} x + 2 \\ y = - \frac{1}{4} x + 2 - 8[/tex]

We have the final answer as

[tex]y = - \frac{1}{4} x - 6 \\ [/tex]

Hope this helps you

Answer:

[tex]x^2\sqrt{x+5} -2\sqrt{x+5}[/tex]

Step-by-step explanation:

use foil

[tex]x^2\sqrt{x+5} -2\sqrt{x+5}[/tex]

cannot be simplified any further so it's the answer

Answer:

2(c + 7)

Step-by-step explanation:

c is a number

the sum of c and 7 is c + 7

twice the sum of c and 7 is 2(c + 7)

Answer: 2(c + 7)

Answer:

2*7+2*3= 2*(7+3)

Step-by-step explanation:

Answer:

m=2

Step-by-step explanation:

y=mx+b

5y=10x-15   dived all by 5

y=2x-3----------2 is the slope

y=mx+b

We want to see which of the given statements about the number pi are true.

The correct options are: a, d, and e.

First, let's talk a little bit about the number pi.

The irrational number pi is defined as the quotient between a circle's circumference and its diameter.

So if we know that a circle has a diameter D, the circumference of that circle is given by:

C = pi*D

Now let's analyze each option to see which ones are true.

a) "Pi is the area of a circle of radius 1."

The area of a circle of radius R is given by:

A = pi*R^2

So if the radius of this circle is R = 1. we have:

A = pi*1^2 = pi

So the area of this circle is pi, thus the statement is true.

b) "Pi is the area of a circle of diameter 1."

The diameter is twice the radius, so the radius of this circle is 0.5, we know that pi is the area of a circle of radius 1, not a circle of radius 0.5, so this is false.

c) "Pi is the circumference of a circle of radius 1."

The circumference of a circle of radius R is given by:

C = pi*2*R

If the radius is equal to 1 we have R = 1, then:

C = pi*2*1 = 2*pi

The circumference of this circle is 2*pi, not pi, so this is false.

d) "Pi is the circumference of a circle of diameter 1."

We know that the circumference of a circle of diameter D is:

C = pi*D

So if D = 1, we have:

C = pi*1 = pi

So the circumference of this circle is equal to pi, thus, this statement is true.

e) "Pi is the constant of proportionality relating the diameter of a circle to its circumference."

A proportional relation is:

y = k*x

where k is the constant of proportionality.

The relation between the circumference is given by:

C = pi*D

So yes, pi is the constant of proportionality, this is true.

F) "Pi is the constant of proportionality relating the radius of a circle to its area."

The area equation is:

A = pi*R^2

note that the radius is squared, so this is not a proportional relation, then the statement is false.

Finally, we can conclude that the true statements are:

a, d, e.

If you want to learn more, you can read:

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Answer:

140 liters will remain after 10 mins

Step-by-step explanation:

The easy way is just multiply the amount lost per min by the number of mins.

Answer:

y=1.75x

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

If Maggies age is, for example, x, we can say that her brothers age is 4x-6. We know from the problem that Maggies age (x) plus her bothers age, (4x-6) is 69. So,

4x-6+x=69

5x-6=69

5x=75

x=15

So, Maggie is 15.

Answer: Maggie is 15 years old

Step-by-step explanation:

69 = (4m - 6) + m     --- get an equation

69 - m = 4m - 6        --- lets subtract  m from both sides first

75 - m = 4m              --- add 6 on both sides

75 = 5m                    --- add m on both sides

15 = m                       --- divide by 5 on both sides

m = 15, so Maggie is 15 years old

Let's check:

69 = (4(15)-6) +15

69 = (60 - 6) + 15

69 = 54 + 15

69 = 69

The answer is 10 inches.

Answer:

The percent of change is 144.29447% because 2,888 is 44.29447% of 6,520

Step-by-step explanation:

Answer:

the answer is 40 boys

Step-by-step explanation:

Let's say there are x boys who play both cards and carrom.

We setup up an equation that involved all information given and x.

Boys who only play cards = 45-x

Boys who only play carrom = 20-x

Boys who play both = x

Add there together and you should get 60, which is the total number of students in the class.

(45-x)+(20-x)+x=60

65-x=60

x=5

Boys who only play cards=45-x=45–5=40

hope it helps you

Answer:

there are 15 boys who can play both games in the class.

Answer:

x = -8

Step-by-step explanation:

3(x+1)+11=-2(x+13)

3x+3+11=-2x-26

3x+14=-2x-26

5x=-40

x=-8

Answer:

x = -8

Step-by-step explanation:

Step 1: Write equation

3(x + 1) + 11 = -2(x + 13)

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

3(-8 + 1) + 11 = -2(-8 + 13)

3(-7) + 11 = -2(5)

-21 + 11 = -10

-10 = -10

Answer:

$3.20

Step-by-step explanation: