Decimal form: 5.656854249
Exact form: 4√2
11/4 would be the improper version.
Answer:
x = 36 , y = 64 , z = 80
Step-by-step explanation:
Exterior angle equals the sum of opposite interior angle.
3x + 8 = x + z
3x - x - z = -8
2x - z = -8 ------------ (I)
z + 3x - 8 = 180 {linear pair}
3x + z = 180 + 8
3x + z = 188 --------------(II)
Add (I) and (II) and z will be eliminated and we can find the value of 'x'
(I) 2x - z = -8
(II) <u> 3x + z = 188</u> {Now add}
5x = 180
x = 180/5
x = 36
Plugin x = 36 in equation (II)
3*36 +z = 188
108 + z = 188
z = 188- 108
z = 80
x + y + z = 180 ----------------(III) {angle sum property of triangle}
36 + 80 +y = 180
116 + y = 180
y = 180 - 116
y = 64
Step-by-step explanation:
1) the required equation in common form is:
(x-x₀)²+(y-y₀)²=r², where (x₀;y₀) - coordinates, where Michael is standing; r - the social distance;
According to the common form and given coordinates (x₀=-5; y₀=2; r=6) it is possible to make up the required equation:
<u>(x+5)²+(y-2)²=6².</u>
2) if the distance between two friends is:
this distance is longer than social (6 ft). For more info see the attachment.
First equation: 3x+4y-12=0. Solving for 4y, we get 4y = -3x + 12, from which
y = (-3/4)x - 3. The slope is -3/4 and the y-int. is -3.
Second equation: 2x + y = 1. y = -2x + 1. The slope is -2 and the y-int. is 1.