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vaieri [72.5K]
3 years ago
11

Y – 4 = –Two-thirds(x – 6) and passes through the point (−2, −2)?

Mathematics
1 answer:
melomori [17]3 years ago
4 0
What are you asking exactly?
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Given: PSTK is a trapezoid, m∠P=90° SK =13, PK = 12, ST=8 Find: The area of PSTK.
guajiro [1.7K]
<h3>Given</h3>

trapezoid PSTK with ∠P=90°, KS = 13, KP = 12, ST = 8

<h3>Find</h3>

the area of PSTK

<h3>Solution</h3>

It helps to draw a diagram.

∆ KPS is a right triangle with hypotenuse 13 and leg 12. Then the other leg (PS) is given by the Pythagorean theorem as

... KS² = PS² + KP²

... 13² = PS² + 12²

... PS = √(169 -144) = 5

This is the height of the trapezoid, which has bases 12 and 8. Then the area of the trapezoid is

... A = (1/2)(b1 +b2)h

... A = (1/2)(12 +8)·5

... A = 50

The area of trapezoid PSTK is 50 square units.

5 0
3 years ago
A box contains 4 red markers and 2 blue markers a marker is selected at random and it's color is noted. If it is red it is repla
Mrrafil [7]

Answer:

<h2>The probability of first one to be  blue is \frac{1}{3}.</h2>

Step-by-step explanation:

In the given box, there are 4 red markers and 2 blue markers.

The given scenario will not affect the required probability as the selection of the second one is a case of future.

We need to find the probability of the first marker is blue.

The probability is \frac{blue markers}{total markers} = \frac{2}{6} = \frac{1}{3}.

4 0
4 years ago
The midpoint of TU is M (3,4). One endpoint is U (7,5). Find the coordinates of the other endpoint
xz_007 [3.2K]

Yo sup??

M(3,4)

one end is U(7,5)

let the other point be T(x,y)

we know that

x+7/2=3 and y+5/2=4

x=6-7 and y=8-5

x=-1 and y=3

therefore T has coordinates (-1,3)

Hope this helps

3 0
3 years ago
What is the slope of this line?
Llana [10]

Answer:

-3/2

Step-by-step explanation:

you can use the rise over run method to find the slope of this line

7 0
3 years ago
Given the endpoint x(11,-2) and the midpoint (4,3) find the missing endpoint y. Write answer as order pair.
Valentin [98]

9514 1404 393

Answer:

  (-3, 8)

Step-by-step explanation:

For m the midpoint of xy, we have ...

  m = (x+y)/2   ⇒   y = 2m-x

  y = 2(4, 3) -(11, -2) = (2·4 -11, 2·3 +2)

  y = (-3, 8)

3 0
3 years ago
Read 2 more answers
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