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wel
3 years ago
6

WILL GIVE BRAINLIEST

Mathematics
1 answer:
Nonamiya [84]3 years ago
4 0

9514 1404 393

Answer:

  a)  M(2,2), B(4, -2), D(0, 6)

  b)  40

Step-by-step explanation:

a) The midpoint of AC is the average of the endpoint coordinates.

  M = (A +C)/2

  M = ((-2, 0) +(6, 4))/2 = (4, 4)/2

  M = (2, 2)

There are several ways to find points B and D. One of them is to rotate points A and C 90° about M. The 90° CCW rotation transformation about the origin is ...

  (x, y) ⇒ (-y, x)

About the point (2, 2), the transformation would be ...

  (x, y) ⇒ (-(y -2)+2, (x -2)+2) = (4 -y, x)

Rotating point A 90° to get point B, we have ...

  B = (4 -0, -2)

  B = (4, -2)

And rotating C to get point D, we have ...

  D = (4 -4, 6)

  D = (0, 6)

__

b) The area of the square is half the square of the diagonal. The square of the diagonal can be found using the distance formula ...

  d² = AC² = (6-(-2))² +(4 -0)² = 64 +16 = 80

Then the area is ...

  area = AC²/2 = 80/2

  area = 40 . . . . square units

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Elan Coil [88]
20 units





Perimeter =add up all sides.




Perimeter = 5+1+5+9

=20 units
5 0
3 years ago
Solve 2c/15 =8.8. the solution to c is
ArbitrLikvidat [17]
The solution to c is 66
4 0
3 years ago
Paolo is using his grandmother's breakfast bar recipe. He always doubles
Papessa [141]

Answer:

6\frac{1}{3} = 2\frac{1}{2} * 2 + \frac{x}{2}

Step-by-step explanation:

lets start with what we know.

the recipe calls for 2 \frac{1}{2} cups of yogurt. and Paolo doubles the recipe. so multiply the recipe for yogurt by 2

2 \frac{1}{2} * 2 = 5 cups of yogurt.

the total of yogurt and oats is 6\frac{1}{3} and we know how much yogurt we have so we subtract that from the total of both.

6\frac{1}{3} - 5 = 1\frac{1}{3}

the oats after doubling were 1\frac{1}{3} cups so u divide it by 2

1\frac{1}{3} / 2 = \frac{2}{3} before doubling

7 0
2 years ago
Help me answer this please:)
Dmitrij [34]

Answer:

A and B

Step-by-step explanation:

\frac{7x+6}{2}\leq 3x+2 < ==multiply\ both\ sides\ by\ 2\\2(\frac{7x+6}{2}\leq 3x+2)\\\\7x+6\leq6x+4 < ==subtract\ -6x\ from\ both\ sides\ \\-6x \ \ -6x\\\\x+6\leq4 < ==subtract\ 6\ from\ both\ sides\\-6 \ \ \ -6\\\\x\leq-2 < ==answer\ should\ be\ anything\ less\ than\ or\ equal\ to\ -2

Now, look at your answer choices, which options are less than or equal to -2?

x ≤ -2, Check your answers:

A. -3 ≤ -2?

This statement is correct (-3 is < -2)

B. -2 ≤ -2 <== our original answer

This statement is correct (-2 is = to -2)

C. -1 ≤ -2

This statement is incorrect (-1 is > -2, not ≤ -2)

D. 0 ≤ -2

This statement is incorrect (0 is > -2, not ≤ -2)

E. 1 < -2

This statement is incorrect (1 is > -2, not ≤ -2)

Therefore, the correct options are A and B

Hope this helps!

6 0
2 years ago
If f (x) = x² - 7, evaluate the following: f(12) f(-7)
Julli [10]

Answer: f(12) = 137, f(-7) = 42

Step-by-step explanation: In a function, what you want to do is plug in the value they give you for x. This means you substitute x with the value they are looking for.

In this case, they are looking at 12 and -7. Let's do 12 first.

The equation becomes (12^2) - 7. 12^2 is 144, and 144-7 is 137.

Now we do -7. The equation becomes (-7)^2 - 7. -7^2 is 49, and 49 - 7 is 42.

Hope this helped!

7 0
1 year ago
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