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3 years ago

Find the equation of a line through the coordinate (3, -2) and parallel to the line represented y = 1/2x - 2.

Mathematics

1 answer:

satela [25.4K]3 years ago

4 0

Answer:

y=1/2x-7/2

Step-by-step explanation:

Since the line is parallel, we know that the slope is the same as the equation given: 1/2. So you just plug in the coordinates for x and y. So it would be -2=1/2(3)+b because we don't know what the intercept is for this line. If you simplify the equation you'll get -2=1.5+b. Then, you must isolate B, so you would get -3.5=b or -7/2.

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A triangle has an area of 36 cm². The base and height are scaled by a factor of 5.

ahrayia [7]

Triangle Area = .5 * (base * height)
36 = (base * height) / 2
So let's say base = 9 height 8
If base and height are scaled by a factor if 5 than
base = 45 height 40 and
area = .5 * (45 * 40)
area = 900

Basically, the area increases by a factor of 25.
The base increases by 5 and the height increases by 5 so the area increases by 5*5 = 25

4 0

3 years ago

Is the dilation of -3/4 a contraction or an expansion?

lyudmila [28]

I don't under stand

5 0

3 years ago

Which of the following demonstrates how the 20 is calculated using the combination pattern

UNO [17]

The combination expression that demonstrates how the 20 is calculated using the combination pattern is 6C3

<h3>Permutation and Combination</h3>

While combination has to do with selection, permutation has to do with arrangement.

According to the combination rule

nCr = n!/(n-r)!r!

The expression that gives the result of 20 is expressed below;

6C3 = 6!/(6-3)!3!

6C3 = 6!/3!3!

6C3 = 6!/6*6
6C3 = 720/36
6C3 =20

Hence the combination expression that demonstrates how the 20 is calculated using the combination pattern is 6C3

Learn more on combination here: brainly.com/question/4658834

#SPJ1

5 0

2 years ago

Doug’s family buys 7 postcards while on vacation. Each postcard costs 0.25$ including tax. How can Doug use the number line to f

larisa [96]

Answer: Total cost is $1.75

Explanation:

Since we have given that

Number of postcards bought by Doug's family= 7

Cost of each postcard including tax = $0.25

Total cost is given by

$7\times 0.25=\$1.75$

Now, we want to show this in number line :

On the number line put all the number with a difference of 0.25 and run the number line seven times and we get the answer.

Each step is of length 0.25 and there are 7 jumps to reach required answer.

So, after 7 jumps we reach at 1.75 which is the required answer.

Hence total cost is $1.75

3 0

3 years ago

How can a translation and a reflection be used to map ΔHJK to ΔLMN? Translate K to N and reflect across the line containing HJ.

Svet_ta [14]

Answer:

<u>Translate K to N and reflect across the line containing JK. </u>

Step-by-step explanation:

The rest of the question is the attached figure.

From the figure, we can deduce the following:

∠K = ∠N

JK = MN

HK = LN

So, N will be the image of K

By translating K to N, The segment JK will over-lap the segment MN,

Then, we need to reflect the point H across the the line containing JK to get the point L

So, the translation and a reflection that will be used to map ΔHJK to ΔLMN:

<u>Translate K to N and reflect across the line containing JK. </u>

3 0

3 years ago

Read 2 more answers