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Elan Coil [88]
3 years ago
13

Please help me answer

Mathematics
1 answer:
marshall27 [118]3 years ago
3 0

Answer:

x=20

Step-by-step explanation:

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In the standard (x,y) coordinate plane a right triangle has vertices at (-3,4)(3,4)(3,-4) what is the length in coordinates unit
MAXImum [283]

Given:

The vertices of a right triangle are:

(-3,4),(3,4),(3,-4)

To find:

The length of the hypotenuse of the given right triangle.

Solution:

Let the vertices of the right triangle are A(-3,4),B(3,4),C(3,-4).

The distance formula is:

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

Using distance formula, we get

AB=\sqrt{(3-(-3))^2+(4-4)^2}

AB=\sqrt{(3+3)^2+(0)^2}

AB=\sqrt{(6)^2+0}

AB=\sqrt{36}

AB=6

Similarly,

BC=\sqrt{(3-3)^2+(-4-4)^2}

BC=\sqrt{(0)^2+(-8)^2}

BC=\sqrt{64}

BC=8

And,

AC=\sqrt{(3-(-3))^2+(-4-4)^2}

AC=\sqrt{(6)^2+(-8)^2}

AC=\sqrt{36+64}

AC=\sqrt{100}

AC=10

Now, taking sum of squares of two smaller sides, we get

AB^2+BC^2=6^2+8^2

AB^2+BC^2=36+64

AB^2+BC^2=100

AB^2+BC^2=AC^2

By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.

Therefore, the length of the hypotenuse is 10 units.

6 0
3 years ago
1. The graph of f(x) = |x| is shown below. Write the equation for the stretched graph, g(x).
baherus [9]

Answer:

Step-by-step explanation:

If the input is 2 and the output is 6, then f(x) = 3IxI

5 0
3 years ago
What is the area of this polygon?
STatiana [176]
You can divide the polygon into a triangle (VMR) and rectangle(VEDR)
VE=5
VR=6
The area for VEDR would be:
area= VE*VR= 5*6= 30

triangle height=3
VR=6
The area for VMR
area= 1/2 * 3 * 6= 9

Total area= 30 + 9 = 39
5 0
3 years ago
Hello can you guys please help me with this thank you soooo muchhh<3
Free_Kalibri [48]

Answer:

i like ya cut g

Step-by-step explanation:

1.b

2.d

3.a

4.c

5.a

6.d

7.b

8.c

4 0
3 years ago
The question is in the pic please be specific
vichka [17]
Box 1) (LxW) 20x6=120
box 2) (LxW) 15x4=60
box 1 cost) (size of box x price of box) 120x1.25=150
box 2 cost) (size of box x price of box) 60x1.25=75
subtract 150 and 75 to get 75

answer: the company is saving $75 by choosing to make 50 of box 2 instead of 50 of box 1

hope this makes sense comment if you need more explanation
8 0
3 years ago
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