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klio [65]
3 years ago
11

Pls help asap Its due in 10 min pls help

Mathematics
1 answer:
solong [7]3 years ago
6 0
The answer is B, Decrease of 72.
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What could be the coordinates of the third vertex, z, of triangle xyz so that it would have a hypotenuse with a length of square
ICE Princess25 [194]

Answer:

z = (6,-1)

Step-by-step explanation:

The missing parameters are:

x = (3,-1)

y = (3,5)

yz= \sqrt{45 --- Hypotenuse

Required

The coordinate of Z

First, calculate the distance xy

xy = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

xy = \sqrt{(3 - 3)^2 + (-1 - 5)^2}

xy = \sqrt{0 + 36}

xy = \sqrt{36}

xy = 6

By Pythagoras theorem, distance xz is:

yz^2 = xz^2 + xy^2

(\sqrt 45)^2 = xz^2 + 6^2

45 = xz^2 + 36

Collect like terms

xz^2 =45-36

xz^2 =9

xz = \sqrt{9}

xz = 3

This means that z is 3 units to the right of x

We have:

x = (3,-1)

The rule to determine z is:

(x,y) \to (x + 3, y)

So, we have:

z = (3 + 3,-1)

z = (6,-1)

8 0
3 years ago
Find the area of the composite figure 12 yd height 10 yd base​
Cloud [144]

Answer:

120 yd^2

Step-by-step explanation:

1. 12x10= 120

2. 120 yd ^2

3 0
2 years ago
Write an equation of the line
aleksandrvk [35]
Y=1/2x+1.5
hope that helps!
7 0
3 years ago
If f(x)=-x+12 find f(2) & give the ordered pair
mestny [16]


Plug in 2 for x

-2+12=f(2)

10=F(2)

F(2)=y

(x,y)

(2,10)

5 0
3 years ago
Suppose A and B represent mutually exclusive events.
mart [117]

Answer:

14/15

Step-by-step explanation:

simple

3/5 + 1/3= 14/15

4 0
2 years ago
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