Write the equation of a line parallel to f(x)=1/2x+1 and passing through the point (-5, -2).

Answer:

d

Step-by-step explanation:

Answer: 52.5cm²

Step-by-step explanation:

Firs, you have to split this composite shape into two separate shapes; a rectangle and triangle.

To work out the area of the rectangle you would have to do 8x5=40.

To work out the area you would have to find out the height of it first. So, to do this you would have to do 1+2=3 then do 8-3=5. Now we know the height is 5.

Then you have to use the formula base times height divided by 2 (b×h/2). So 5×5=25 then 25÷2=12.5

To then find the total area of this composite shape you would have to add the two areas together. So 40+12.5=52.5cm²

Hope this helps :)

Answer:

3/4

Step-by-step explanation:

1/2 : 2/3

X : 3/3

3/4 : 3/3

Answer: 3/4

Step-by-step explanation:

9514 1404 393

Answer:

  (i)  5/12

  (ii)  720

  (iii)  420

Step-by-step explanation:

(i) The fraction representing all votes is 12/12. If 7/12 were received by the winner, then the loser received 12/12 -7/12 = 5/12 of the total votes.

  The person who lost received 5/12 of the total votes.

__

(ii) The winner won by 7/12 -5/12 = 2/12 = 1/6 of all votes. So, the total number of votes is ...

  120 votes = 1/6(total votes)

  total votes = 6×120 votes = 720 votes

There were 720 registered voters.

__

(iii) The winner received ...

  (7/12)(720 votes) = 420 votes . . . received by the winner

Answer:

3x-x+2=4

Step-by-step explanation:

Answer:

4/12

Step-by-step explanation:

hope this helps and have a great day

can u mark me as brainliest plz and thx

Answer:

Step-by-step explanation:

Answer: 43.75%

Step-by-step explanation:

The percentage change is given by:

= [Final value - initial value / Initial value] x 100

The percentage increase in the average number of people from 2005 to 2012 is 56.25%.

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

The average number of people in 2005 = 8000.

The average number of people in 2012 = 12500.

The change in the average number of people from 2005 to 2012.

= 12500 - 8000

= 4500

The percentage change in the average number of people at the games from 2005 to 2012.

= [Change in the average number of people / Average number of people in 2005] x 100

= (4500 / 8000) x 100

= 450/8

= 56.25%

Thus,

The percentage increase in the average number of people from 2005 to 2012 is 56.25%.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ6

Answer:

one

Step-by-step explanation:

Answer:

is is letter a since a ray has only 1 end point

Answer:

26 units^2

Step-by-step explanation:

You have all the information to find the area of each of the triangles that make up the kite so all you need to do is find the area of each of them and add them all together.

Triangle 1 = 1/2(2 x 7) = 7

Triangle 2 = 1/2(2 x 7) = 7

Triangle 3 = 1/2(2 x 6) = 6

Triangle 4 = 1/2(2 x 6) = 6

Total Area                   = 26

The area of the kite is 26 units^2

Answer:

Ultraviolent radient energy

Answer:

210in^3

Step-by-step explanation:

Given data

Dimension

Length= 5in

Width= 6in

Height= 7in

The expression for the volume of a rectangle is given as

Volume= L*W*H

Substitute

Volume= 5*6*7

Volume= 210in^3

Answer:

1.209in²

2.125mi²

3.c=4mm

hope I helped you

Answer:

This is not a right triangle because the hypotenuse is less than the two sides and aren't equal when following the Pythagorean thm

Step-by-step explanation:

To confirm if a triangle is a right triangle, we must use the Pythagorean thm

a^2 + b^2 = c^2

23^2 + 11.4^2 = 21.2^2

529 + 129.96 = 449.44

658.96 ≠ 449.44

Answer:

x=39 y=51

Step-by-step explanation:

Step-by-step explanation:

2x = 78 ( they're vertical angles)

divide both sides by 2

x = 39 degrees( I don't if that's correct as I did it in my head so double check) hope this helps!!! MARK BRAINLIEST IF YOU GET IT RIGHT PLEASE!!

Answer:

24

Step-by-step explanation:

14 + 10 = 24.

The Question has given hints.

Answer:

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...

Step-by-step explanation:

Multiple of any number is a number which can be divided exactly by that number. The Multiples of a number are formed by multiplyng it with other numbers like 1,2,3,etc.

Answer:

3 student tickets and 5 adult tickets

Step-by-step explanation:

Given:

The phrase is "Wally mowed two more lawns than he mowed last week".

To find:

The expression that models the given phrase.

Solution:

Let the number of lawns mowed by Wally last week be n.

We know that, we use plus sign "+" for "more".

If Wally mowed two more lawns than he mowed last week, then the lawns mowed by the Wally this week is the sum of n and 2.

Lawns mowed this week = [tex]n+2[/tex]

The required expression for the phrase "Wally mowed two more lawns than he mowed last week" is n+2.

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

Answer:

y=x+4

Step-by-step explanation:

...

Answer:

10-35-45 and 5-17.5-22.5

Step-by-step explanation:

Answer:

$450.40

Step-by-step explanation:

I=(PRT)/100

I=(5630*4*2)/100=$450.40

Answer:

[tex]56\ \text{km/h}[/tex]

Step-by-step explanation:

[tex]t[/tex] = Time taken = [tex]6\ \text{hours}[/tex]

[tex]d[/tex] = Distance = [tex]336\ \text{km}[/tex]

Average speed is given by

[tex]s=\dfrac{\text{Distance}}{\text{Time}}=\dfrac{d}{t}[/tex]

[tex]\Rightarrow s=\dfrac{336}{6}[/tex]

[tex]\Rightarrow s=56\ \text{km/h}[/tex]

The average speed of the driver is [tex]56\ \text{km/h}[/tex].

Answer:

A linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

We know that line f(x) passes through points (5, 0) and (10, 10)

Then the slope of f(x) is:

a = (10 - 0)/(10 - 5) = 10/5 = 2

then:

f(x) = 2*x + b

again, knowing that f(10) = 10   (because this line passes through point (10, 10) )

10 = 2*10 + b

10 = 20 + b

10 - 20 = b = -10

Then the equation of this line is:

f(x) = 2*x - 10

Now for g(x) we know that it passes through (-3, 0) and (2, 10)

then the slope is:

a = (10 - 0)/(2 - (-3)) = 10/5 = 2

g(x) = 2*x + b

And knowing that g(2) = 10   (because this line passes through point (2, 10) )

10 = 2*2 + b

10 = 4 + b

10 - 4 = b

6 = b

then:

g(x) = 2*x + 6

Then the equations are:

f(x) = 2*x  - 10

g(x) = 2*x + 6

A) One transformation may be a vertical translation, and the other can be a horizontal translation.

This is a vertical translation, which is defined as:

For a function f(x), a vertical translation of k units is written as:

g(x) = f(x) + k

If k is positive, the translation is upwards

if k is negative, the translation is downwards.

And an horizontal translation of k units is written as:

g(x) = f(x - k)

if k is positive, the translation is to the right

if k is negative, the translation is to the left.

B)

For the vertical translation we have:

g(x) = f(x) + k

2*x + 6 = 2*x  - 10 + k

6 = -10 + k

6 + 10 = k

16 = k

For the horizontal translation we have:

g(x) = f(x - k)

2*x + 6 = 2*(x - k) - 10

2*x + 6 = 2*x - 2*k - 10

6 = -2*k - 10

6 + 10 = -2*k

16 = -2*k

16/-2 = k

-8 = k

C)

The transformations are:

g(x) = f(x) + 16

or

g(x) = f(x - (-8))

Answer:

linear

Step-by-step explanation: