Please help! #20] math problem is with photo. (Math) (10 points)

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:that answer to the test is 70

Step-by-step explanation:

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.

Answer:

the answer is 12 i did the test

Step-by-step explanation:

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.

In the number 8,888.888, the 8 in the hundredths place is one-tenth of the value of the 8 in the tenths place, reflecting the structure of the decimal system where each place to the right of the decimal point is a tenth of the value of the position to its left.

When comparing the 8 in the hundredths place to the 8 in the tenths place (the place to its left), we need to remember that in our decimal numbering system, each place to the left is ten times greater than the place to its right. This is a fundamental property of the powers-of-ten notation, which our counting system is based on.

Therefore, the 8 in the hundredths place is one-tenth the value of the 8 in the tenths place. In other words, each 8 in the decimal part of the number 8,888.888 represents ten times less the value of the 8 to its immediate left. This reflects the structure of the decimal system, where each place to the right of the decimal point represents a fraction of 10 of the position to its left.

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Answer:

C,D,F

promise

Answer:

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

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.

16m^2 - 32m + 16

if this is what you are looking for

Brainliest?

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]