Enter the slope-intercept equation for the image of line ℓ after a clockwise rotation of 90°. (Hint: To find the image of line ℓ, choose two or more points on the line and find the images of the points.)​

The solution of the equation 3g + 5 = 7g + 4 will be 1/4.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

3g + 5 = 7g + 4

Simplify the equation, then we have

3g + 5 = 7g + 4

- 7g + 3g = 4 - 5

- 4g = - 1

g = (-1) / (-4)

g = 1 / 4

The solution of the equation 3g + 5 = 7g + 4 will be 1/4.

More about the solution of the equation link is given below.

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Answer:

Controlled experiment

The method of data collection used by the federal government agency is controlled experiment.

A controlled experiment can be defined as an experiment under which an independent variable is constantly manipulated in order to evaluate its effects on other dependent variables.

The experiment conducted on 750 vehicles by federal government agency to determine the relationship between weight of the vehicle and its fuel economy  is a controlled experiment since the effects of weight of vehicles is observed on their fuel economy, other things remaining constant.

The fuel economy changes with the change in weight of the vehicle. The vehicle weight therefore affects the fuel economy or average MPG of the vehicle.

Therefore the method of data collection used is controlled experiment.

Learn more about controlled experiment here:

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Answer:

A possible answer is that Naron is 6 yrs old and his sister is 2 yrs old.

Step-by-step explanation:

6 is 3 times as much as 2

(6+2)/2=2+2

8/2=4

Answer:

Naron is 6 years old and his sister is 2 years old

Step-by-step explanation:

Answer:

F(C)<250

Step-by-step explanation:

To solve the problem we need to remember that a function is a relationship between an input usually called "x" (domain) and an output, usually called "y" and it's also the range of the function.

F(X)=y

We are given a relationship (a function) between the ferryboat trips "c" and the number of cars transported per day.

f(C)=C/20

Hence, the range of the function knowing that there are not more than 5000 cars transported by the ferryboat (daily) the range is all the numbers that are less or equal to 250.

F(C)<250

:)!

Step-by-step explanation:

Change each number to an improper fraction.

Simplify if possible.

Multiply the numerators and then the denominators.

Put answer in lowest terms.

Check to be sure the answer makes sense.

Answer: Yes; 63 • 73 is equal to (6 • 7)3 or 423.

Step-by-step explanation:This is the answer because if you multiply the 6 and 7 you get 42 and you leave the exponent which in this case is 3 leaving you with 42^3

Answer:

C : 67°

Step-by-step explanation:

The angles are equal to each other therefore they would all be the same measurement which is 67°

Hope this helps

Answer:

The answer is C.

Hope this helps

Answer:

d. n = 12

Step-by-step explanation:

n/33 = 4/11

cross-multiply:

11n = 132

divide both sides by 11:

n = 12

Answer:

f(2) = -5

Step-by-step explanation:

f(2) means that x = 2.

We are trying to find the y-value when x = 2.

When x = 2, we see from the graph that our y-values is equal to -5.

Therefore, f(2) = -5

Answer:

The cost of two folder is $ 1.94

Solution:

Given that 3 folders cost $ 2.91

We have to determine the cost of 2 folder

From given,

Cost of 3 folder = $ 2.91

To find the cost of 1 folder, divide 2.91 by 3

Thus cost of 1 folder is $ 0.97

We are asked to find cost of two folders.

Therefore, multiply cost of 1 folder by 2

Thus cost of two folder is $ 1.94

Answer:

10/21 or 0.476 miles per hour

Step-by-step explanation:

If you divide 2/3 by 1.4 (or 14/10), you will get miles per hour.  

2/3 ÷ 14/10 = 2/3 x 10/14 = 20/42 = 10/21 = 0.476

Answer:

f(-7) = 21

Step-by-step explanation:

f(-7)= - (-7)^2 - 10 (-7) = 21

Answer:

60mph

Step-by-step explanation:

Answer:

2,2

-10

that's the answer to both of them

Answer:

5

Step-by-step explanation:

|8| - |14 - 11|

8 - 3

5

Answer:vertical

Step-by-step explanation:

Answer:

$3.00 is the constant

Step-by-step explanation:

let x be the mile driven then

total charge=$3.00+[x($0.30)]

Answer:

C. -3

Step-by-step explanation:

First, you would subtract 2m on both sides in the first equation, to get 6m = -6. Since you wan to find 3m, just divide -6 by 2 to get -3.

Given parameters:

   Coordinates of the points =  (3,4) and (19, 16)

Unknown:

The distance between the points = ?

The midpoint  = ?

Solution:

  The distance between two points can be mathematically solved using;

    D  = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]

 where  x₁  = 3, x₂  = 19  and y₁  = 4, y₂  = 16

Input the parameters and solve;

   D  = [tex]\sqrt{(19 - 3)^{2} + (16 - 4)^{2} }[/tex]   = 20

Midpoint;

    The expression is given as;

     x[tex]_{m}[/tex] , y[tex]_{m}[/tex]  = [tex]\frac{x_{1} + x_{2} }{2}[/tex]  , [tex]\frac{y_{1} + y_{2} }{2}[/tex]

         input the parameters and solve;

                   = [tex]\frac{3 + 19}{2}[/tex]  , [tex]\frac{4 + 16}{2}[/tex]

                   = 11 , 10

The midpoint is (11, 10)

Answer:

X+y=180, Y=Z, X+Z=180

Step-by-step explanation:

Hope this helps. i remember doing this.

Answer:

trapezium maybe

Step-by-step explanation:

plzz mark me brainliest, need it to level up

Answer: x = 13

Step-by-step explanation:

They are equal so set them equal and solve for x.

(4x+1) = 53

4x = 52

x = 13

Answer:

Since the lines l and m are parallel,

angle (4x + 1) and angle 53 are both corresponding angles

We know that corresponding angles are equal, so:

4x + 1 = 53

4x = 52

x = 13

Answer:

[tex]the \: students \: calculation \: was \\ based \:on\: addition \: of \: the \: numbers \\ without \: cosidering \: thier \: nagative \: signs.[/tex]

Answer:

12

Step-by-step explanation:

3(9-h) is the equation used for this problem h=5

9-5=4    3x4=12

hope this helps!

Answer:

Unnnnnnnnnnnnnnnnnnnnnnnnbnbnnnn

Answer:

Let x represent the amount of $ in the 4% account and y in the 2% account.

Then x + y = $4000 (total savings).

Interest at 4% would be  x*0.04*1 = 0.04x, and

Interest at 2% would be  y*0.02*1 = 0.02y.

Then 0.04x + 0.02y = $140 interest, total.  

We must solve this system of linear equations.

Mult. 0.04x + 0.02y = $140 by 100 to remove the fractions:

4x + 2y = $14000       We already know that x + y = $4000, so y = $4000-x.

Then  4x + 2y = $14000 becomes  4x + 2($4000-X) = $56000.

Simplifying,                                     4x + $8000 - 2x = 14000.

                                                       2x                      = $6000

                                                         x     =     $3000 at 4%

                                                         y     =      $1000 at 2%

i hope it helps :)

Step-by-step explanation:

Answer:

9^8

43046721

Step-by-step explanation:

You would round this number by rounding each number (until the whole number) from right to left. So it would change from 86.415>86.42>86.4>87.

Hope this helps, if not, comment below please!!!

Answer:

86

Step-by-step explanation:

I'm not completely sure what this question is asking for. But if you want to round 86.415 to the nearest whole number, it would be 86, since any number less than 5 you would round down, and the 4 in the tenths place is less than 5.