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CaHeK987 [17]
3 years ago
15

What is the image of (4, -12) after a dilation by a scale factor of 1/4 centered at the origin?​

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
5 0

The answer is (-1,-3)

All you have to do is divide your point by 4, since it is a fraction. if its not then multiply.

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The lines y1 = 2x - 6, y2 = -3x + 4, y3 = -1/2x + 4 intersect to form the sides of a right triangle. Find the perimeter and area
tino4ka555 [31]

The area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units

<h3>Determining the perimeter and area of the triangle giving line equation</h3>

In order to determine the area and perimeter of the lines, we will plot the giving lines, determine the point of intersection and then use the Pythagoras theorem to determine the dimension of the right triangle.

The points of intersection of the line are;

(x₁, y₁) = (- 0.4, 5.2),

(x₂, y₂) = (-0.8, 4.4),

(x₃, y₃) = (0, 4)

Determine the base

b² = c² -a²

b = √(-0.8)² + (4 - 4.4)²

b = 2√5 / 5

Determine the height

h = √((- 0.4) - (- 0.8))² + (5.2 - 4.4)²

height = 2√5 / 5

For the hypotenuse

r = √2 · b

r = 2√10 / 5

<h3>Determine the Perimeter and area</h3>

Perimeter = s1+s2+s3

Perimeter = 2√5 / 5 + 2√5 / 5 + 2√10 / 5

Perimeter = (2√10 + 4√5) / 5 units

<u>For the area</u>

area = 1/2* base * height

A = 0.5 · (2√5 / 5) · (2√5 / 5)

A = 2/5 square units

Hence the area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units

Learn more on area and perimeter of triangles here: brainly.com/question/12010318

#SPJ1

3 0
1 year ago
I’m so confused please help , this is 100 points
sesenic [268]

Answer:

m`1 = 43` 2,3

   m<2 1/12*  

 and m <3 = 1,3/2

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
99 POINTS
Marina CMI [18]

both (0,350) and (250,700) fall in the shaded are

 and check:

350 *3 = 1050, which is more than 1000 and more than double the amount of hotdogs ( 0)


700 *3 = 2100, so over 1000 and more than double the amount of hotdogs(250*2=500)

 so those 2 are correct

5 0
2 years ago
Read 2 more answers
Write and solve an equation to answer the question. after earning interest, the balance of a checking account is $560. the new b
nikitadnepr [17]
2.33 is the aprox number we start off with. if we got to find the original, we divide 560 by (7/3).
after we estimate the divisior we get 240. 560 - 240 gives us 320.
the answer could be 320.
7 0
3 years ago
What is the square root of 30 rounded to the 2 decimal places.
umka21 [38]

Answer:

5.48 or 5.477225575 hope this helps

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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