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maw [93]
2 years ago
14

Find the coordinates of the vertices of the triangle if it’s rotated 270° counterclockwise.

Mathematics
1 answer:
Scilla [17]2 years ago
4 0

If these coordinates are rotated 270° counterclockwise, the resulting coordinates will be;

<em>X' = (3, -1)</em>

<em>Y' = (2, -2)</em>

<em>Z' = (-1, -3)</em>

<h3>Rotation of coordinates</h3>

If the coordinates (x, y) is rotated 270° counterclockwise, the resulting coordinate point will be;

(x, y) - > (y, -x)

From the given triangles, the coordinate points are expressed as

<em>X = (1, 3)</em>

<em>Y = (2, 2)</em>

<em>Z = (3, -1)</em>

If these coordinates are rotated 270° counterclockwise, the resulting coordinates will be;

<em>X' = (3, -1)</em>

<em>Y' = (2, -2)</em>

<em>Z' = (-1, -3)</em>

Learn more on rotation here: brainly.com/question/26249005

#SPJ1

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Olenka [21]

Answer:

The length of the total 8 pieces in 0.8 meters = 6.4 meters

How many pieces there are in the remaining 0.4 meter = 6.5

Step-by-step explanation:

0.8 x 8 = 6.4

9 meters - 6.4 meters = the remaining 2.6 meters

2.6 x 0.4 = 6 1/2 pieces of ribbon in 0.4 meters.

5 0
3 years ago
Find the equation of the sphere passing through pleft parenthesis negative 4 comma 7 comma 6 right parenthesis(−4, 7, 6) and qle
Oksi-84 [34.3K]

The equation of a sphere is:

(x – h)^2 + (y – k)^2 + (z – l)^2 = r^2

where h, k and l are the coordinates of the center of the sphere

 

Using the midpoint formula, the coordinate of the center is:

h = (-4 + 6) / 2 = 1

k = (7 + -5) / 2 = 1

l = (6 + 7) / 2 = 6.5

 

so the equation becomes:

(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = r^2

 

we plug in any point, in this case point P to solve for r:

(-4 -1)^2 + (7 – 1)^2 + (6 - 6.5)^2 = r^2

r^2 = 61.25

 

So the full equation is:

<span>(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = 61.25</span>

8 0
3 years ago
​Which situation matches the inequality below?
mars1129 [50]

Answer:

C is the correct answer

8 0
3 years ago
John wants to buy a DVD player. The price is $100, and the sales tax is 5 percent. Store A is offering a 10 percent discount and
exis [7]

Answer:

Price of DVD at Store A = $ 94.5

Price of DVD at Store B = $ 95

Step-by-step explanation:

Given that

Price of DVD player = $ 100

Sales Tax = 5%

Now, lets calculate price of of DVD player at store A

The price of DVD player at store A after 10% discount = 100 - 10% of 100

The price of DVD player at store A after 10% discount= 100 - 0.1x100

The price of DVD player at store A after 10% discount= 100 - 10 = $90

Price of DVD player at store A after sales tax = 90 + 5% of 90

Price of DVD player at store A after sales tax = 90 + 0.05x90

Price of DVD player at store A after sales tax = 90 + 4.5

Price of DVD player at store A after sales tax = $94.5

Now, lets calculate price of of DVD player at store B.

The price of DVD player at store B= 100

Price of DVD player at store B after sales tax = 100 + 5% of 100

Price of DVD player at store B after sales tax = 100 + 0.05x100

Price of DVD player at store B after sales tax = 100 + 5

Price of DVD player at store B after sales tax = $ 105

Price of DVD player at store B $10 rebate = 105 - 10

Price of DVD player at store B $10 rebate = $95

4 0
2 years ago
Read 2 more answers
Please help! I'm really confused and this is due in 30 minutes!
dimaraw [331]

Answer:

1. 6x + 25

2. 60 + 28k

3. 5 + 19y

4. 3d + 1

5. 5v

6. w - 14.04

Step-by-step explanation:

These are what I got. I'm very sorry if I'm wrong.

6 0
2 years ago
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