Which of the following represents two lines that are coplanar and do not intersect?

A. Perpendicular
B. Skew
C. Parallel
D. Intersecting

Answer:  The required y-intercept of the given line is [tex]\dfrac{14}{3}.[/tex]  

Step-by-step explanation:  We are given to find the y-intercept of the following equation of a line :

[tex]x+3y=14~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

The slope-intercept form of the equation of a line is given by

[tex]y=mx+c,[/tex] where m is the slope and c is the y-intercept of the line.

From equation (i), we have

[tex]x+3y=14\\\\\Rightarrow 3y=-x+14\\\\\Rightarrow y=-\dfrac{1}{3}x+\dfrac{14}{3}.[/tex]

Comparing the above equation with the slope-intercept form, we get

[tex]\textup{y-intercept, c}=\dfrac{14}{3}.[/tex]

Thus, the required y-intercept of the given line is [tex]\dfrac{14}{3}.[/tex]  

The ratio of the height of the model to the height of the actual statue, once converted to the same units, is 1:30. The actual statue at 3 3/4 feet tall is equivalent to 45 inches, and the model is 1 1/2 inches tall.

To find the ratio of the height of the model to the actual statue, we must first make sure both measurements are in the same units. Since the model is given in inches, we will convert the actual statue's height from feet to inches. There are 12 inches in a foot, so:

3 3/4 feet = 3.75 feet x 12 inches/foot = 45 inches.

Now we can set up the ratio of the model to the actual statue:

1 1/2 inches / 45 inches.

First, convert 1 1/2 inches to an improper fraction, which is (1 x 2 + 1)/2 = 3/2 inches. Our ratio is thus:

(3/2) inches / 45 inches = 3/90 = 1/30.

The ratio in simplest form is 1:30.

Answer:

Triangle ABC translate 1 unit left and 1 units down to get the triangle A'B'C'. The rule of translation is

[tex](x,y)\rightarrow (x-1,y-1)[/tex]

Step-by-step explanation:

Given information: In triangle ABC, A(-5,1), B(-2,7), C(0,1). In triangle A'B'C', A'(-6,0), B'(-3,6), C'(-1,0).

Let the rule of translation be

[tex](x,y)\rightarrow (x-a,y-b)[/tex]

where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b<0, then the graph shifts b units up and if b>0, then the graph shifts b units down.

It is given that A(-5,1) and A'(-6,0).

[tex]A(-5,1)\rightarrow A'(-5-a,1-b)[/tex]

[tex]A'(-6,0)=A'(-5-a,1-b)[/tex]

On comparing both sides, we get

[tex]-6=-5-a\Rightarrow a=1[/tex]

[tex]0=1-b\Rightarrow b=1[/tex]

The value of a is 1 and value of b is 1. So, the rule of translation is

[tex](x,y)\rightarrow (x-1,y-1)[/tex]

Therefore the triangle ABC translate 1 unit left and 1 units down to get the triangle A'B'C'.

Answer:

53 gallons of fuel

Step-by-step explanation:

Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)

[tex]\frac{10}{250} = \frac{x}{1325}[/tex]

Step 2: Divide the given values (The given values are 10 over 250. We are doing this because we need to know the difference between those two figures.) (Trick: For this case, all you need to do is cancel both zeros and the answer is 25)

[tex]\frac{10}{250}\\\\10 \div 250\\\\= 0.04[/tex]

Step 3: Multiply the result to the last value (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)

[tex]1325 \times 0.04\\\\= 53[/tex]

Therefore, 53 is the amount of gallons of fuel needed.

To get an output of 7 in the equation y = -x+4, the input value needed is -3.

To obtain an output of 7 for the linear equation y = -x + 4, we need to find the appropriate input value (x). The equation represents a straight line in the Cartesian plane, where 'y' is the dependent variable, and 'x' is the independent variable.

To solve for 'x' when y = 7, we simply substitute 7 for 'y' in the equation:

7 = -x + 4

Now, we need to isolate 'x' on one side of the equation. To do this, we can move the constant term (4) to the other side of the equation by subtracting it from both sides:

7 - 4 = -x

This simplifies to:

3 = -x

To solve for 'x', we multiply both sides by -1 to get:

x = -3

So, if you input x = -3 into the equation y = -x + 4, you will indeed get an output of 7:

y = -(-3) + 4

y = 3 + 4

y = 7

Therefore, an input of x = -3 will yield an output of 7 for the given equation.

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16m^2 - 32m + 16

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Brainliest?

# of slices   Price

1                   1.50

2                  3.00

3                   4.50

4                  6.00

5                   7.50

6                  9.00

Answer:

C,D,F

promise

Answer:

It is C, D, and F. I got it right.

Step-by-step explanation:

Answer:

the answer is 12 i did the test

Step-by-step explanation:

Answer:

1999 moves are required.

Step-by-step explanation:

Given is - In solving a jigsaw puzzle, a move consists of joining two clusters, including clusters of just one piece.

This means exactly [tex]n-1[/tex] moves are required to solve a jigsaw puzzle with n pieces.

Here, n = 2000

So, moves will be = [tex]2000-1=1999[/tex]

Hence. 1999 moves are needed to solve the puzzle.