Answer:
a). Area = 54 square units
b). Perimeter = 33.7 units
Step-by-step explanation:
Vertices of the triangle ABC are A(-4, -2), B(1, 7) and C(8, -2).
(a). Area of the triangle ABC =
(Absolute value)
By substituting the values from the given vertices,
Area = ![\frac{1}{2}[(-4)(7+2)+(1)(-2+2)+8(-2-7)]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%28-4%29%287%2B2%29%2B%281%29%28-2%2B2%29%2B8%28-2-7%29%5D)
= ![\frac{1}{2}[-36+0-72]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B-36%2B0-72%5D)
= 
= (-54) unit²
Therefore, absolute value of the area = 54 square units
(b). Distance between two vertices (a, b) and (c, d)
d = 
AB = 
= 
= 10.295 units
BC = 
= 
= 11.402 units
AC = 
= 12 units
Perimeter of the triangle = AB + BC + AC = 10.295 + 11.402 + 12
= 33.697
≈ 33.7 units
He messed up step 2 he added instead of multiplying
Answer:
The slope is .075 and the y intercept is -.125
Step-by-step explanation:
8y = .2(3x -5)
Distribute the .2
8y = .6x - 1
Divide by 8
8y/8 = .6x/8 -1/8
y = .075x -.125
This is in slope intercept form y= mx+b where m is the slope and b is the y intercept.
The slope is .075 and the y intercept is -.125
Answer:
0.3 or 3/10
Step-by-step explanation:
a/b = -1/4 / -5/6
=> -1/4 * -6/5
=> 6/20
=> 3/10 in simplest form.
Hope this helps, Please put me as brainliest!!