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3 years ago

Draw the image of the figure after a rotation of 180° around 0. Can anyone help?

Mathematics

1 answer:

DanielleElmas [232]3 years ago

6 0

Https://us-static.z-dn.net/files/d32/38c3ab868a9002a8c0889292f96a8840.jpeg

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Please solve this by solving systems by elimination 6x+3y=-18 7x+7y=0

gavmur [86]

Answer:

Step-by-step explanation:

6x + 3y = -18

Taking 3 common from left side

so, 3(2x+y) = -18

2x+y = -18/3

2x+y = -6 (equation 1)

and, 7x + 7y = 0

Taking 7 as commom from left side

7(x + y) = 0

x + y = 0/7

x + y = 0 (equation 2)

now , by using elimination method

subtracting equation2 from equation1

2x + y - (x + y)= -6 - 0

2x + y - x - y = -6

x = -6

so, x = -6

substituting value of x in equation 1

2(-6) + y = -6

-12 + y = -6

y = -6 +12

y = 6

hence, the value of x = -6

and value of y = 6

7 0

3 years ago

The scale from a garden to this drawing is 8 ft to 1 cm. the scale from the same garden to another drawing is 2 ft to 1 cm. what

garik1379 [7]

The lengths of the base and height of the garden in the other scale drawing are 0.6 cm and 0.9 cm. So, option A is correct.

What is the scale factor?

The scale factor is calculated by Scale factor = Length of the new drawing ÷ length of the original drawing

Calculation:

It is given that,

For the given triangle drawing, the scale from a garden to this drawing is 8 ft to 1 cm. The scale from the same garden to another drawing is 2 ft to 1 cm.

So, we can compute the scale factors as

8 ft to 1 cm = 1/8 cm

2 ft to 1 cm = 1/2 cm

Then the scale factor for the required lengths is 1/8 ÷ 1/2 = 1/4 cm

Thus, the required lengths are:

The base of the garden on the other scale drawing is

= 2.4 cm × 1/4

= 0.6 cm

The height of the garden on the other scale drawing is

= 3.6 cm × 1/4

= 0.9 cm

Therefore, the lengths of the base and the garden on the other scale drawing are 0.6 cm and 0.9 cm. So, option A is correct.

The given question in the portal was incomplete. Here is the complete question.

Question: The scale from a garden to this drawing is 8 ft to 1 cm. The scale from the same garden to another drawing is 2 ft to 1 cm. What are the lengths of the base and height of the garden in the other scale drawing?

A) 0.6 cm and 0.9 cm

B) 1.2 cm and 1.8 cm

C) 4.8 cm and 7.2 cm

D) 9.6 cm and 14.4 cm

Learn more about scale factors here brainly.com/question/28307342

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5 0

2 years ago

trufant is yoleni's older brother. the sum of their ages is 47. the difference of their ages is 9. how old are trufant and yosle

JulsSmile [24]

Answer:

Trufant is 28 while his younger brother(Yolensi) is 19

5 0

3 years ago

What are the coordinates of the vertex for f(x) = x2 + 4x + 10?

MAVERICK [17]

You have to complete the square to get it into vertex form. Do this by setting the function equal to zero and at the same time moving the constant over to the other side of the equals sign so you have this: $x^{2} +4x=-10$ . Now we can complete the square on the polynomial by taking half the linear term, squaring it, and adding it to both sides. Our linear term is 4. Half of 4 is 2, and 2 squared is 4, so we add 4 to both sides: $( x^{2} +4x+4)=-10+4$ and simplify to get $( x^{2} +4x+4)=-6$ . In this process we have created a perfect square binomial on the left, which happens to be $(x+2) ^{2}=-6$ . Now move the -6 back over by addition to get $(x+2) ^{2} +6=y$ . The vertex is found at (-2, 6), the third choice down.

7 0

3 years ago

Read 2 more answers

3(x+4)=2x+6 can you help me solve this

Vladimir [108]

Answer:

x=-6

Step-by-step explanation:

3(x+4)=2x+6

3x+12=2x+6

x+12=6

x=-6

5 0

3 years ago