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Svetach [21]
3 years ago
9

The length of ​ AB¯¯¯¯¯ ​ is 9 centimeters. A dilation with a scale factor of 2 is applied to ​ AB¯¯¯¯¯ ​ . What is the length o

f the image of ​ AB¯¯¯¯¯ ​ after the dilation is applied? Enter your answer in the box
Mathematics
1 answer:
svetlana [45]3 years ago
6 0
<h3>Answer:  18</h3>

We multiply the length of AB by 2 to get the length of A'B'

9*2 = 18

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Find the slope of each line and then determine if the lines are parallel, perpendicular or neither. If a value is not an integer
Aleonysh [2.5K]

As given by the question

There are given that the point of two-line

\begin{gathered} (1,\text{ 7) and (5, 5)} \\ (-1,\text{ -3) and (1, 1)} \end{gathered}

Now,

From the condition of a parallel and perpendicular line

If the slopes are equal then the lines are parallel

If the slopes are negative reciprocal then the lines are perpendicular

If the slopes are neither of the above are true then lines are neither

Then,

First, find the slope of both of line

So,

For first-line, from the formula of slope

\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ m_1=\frac{5_{}-7_{}}{5_{}-1_{}} \\ m_1=-\frac{2}{4} \\ m_1=-\frac{1}{2} \end{gathered}

Now,

For second-line,

\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ m_1=\frac{1_{}-(-3)_{}}{1-(-1)_{}} \\ m_1=\frac{4}{2} \\ m_1=2 \end{gathered}

The given result of the slope is negative reciprocal because

\begin{gathered} -\frac{1}{2}=-(-\frac{2}{1}) \\ -\frac{1}{2}=2 \end{gathered}

Hence, the slope of line1 is -1/2, and slope of line2 is 2 and the lines are perpendicular.

5 0
1 year ago
Can someone plsss help me
balu736 [363]

Answer:

y = -5/3 x + 40

Step-by-step explanation:

The general form is y = ax + b, where a is the slope and b is the y intercept.

So immediately you can see that b must be 40, since the line crosses the y axis at 40.

The slope can be calculated by finding two "nice" points on the line that are also grid lines.

How about (0,40) and (6, 30).

Then, calculate the slope by dividing the y difference by the x difference:

(30-40)/(6-0) = -10/6 = -5/3

So C must be the answer.

6 0
3 years ago
Whats the square footage of 10 by 10​
maria [59]
Answer: 100 square feet

How many square feet is a 10x10 room? The square footage of a room 10 feet wide by 10 feet long is 100 square feet. Find the square footage by multiplying the width (10 ft) by the length (10 ft).
7 0
3 years ago
A group spends $277.50 to rent a total of 15 tubes. How many of each type of tube does the group rent?
tensa zangetsu [6.8K]

The amount spent on each tube is $18.5

The total amount spent to rent 15 tubes by the group is $277.50.

Since they did not specify in the question the types of tubes they rented, we cannot determine each types of tubes that the group rented but we can determine the amount spent on each tube provided that they are all the same types.

∴

if 15 tubes = $277.50

1 tube = $x

By cross multiplying:

\mathbf {\$(x) = \dfrac{ \$277.50 \times 1 \ tube }{15 \ tube}}

\mathbf {(x) = \$18.5}

Therefore, we can conclude that the amount spent on each tube is $18.5

Learn more about arithmetic operations here:

brainly.com/question/15385899?referrer=searchResults

4 0
3 years ago
Write an expression that represents the product of q and 8, divided by 4.
Sholpan [36]

Answer:

8 q / 4 =2q

Step-by-step explanation

6 0
3 years ago
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