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 = ![\frac{1}{2}[x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1})+x_{3}(y_{1}-y_{2})]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Bx_%7B1%7D%28y_%7B2%7D-y_%7B3%7D%29%2Bx_%7B2%7D%28y_%7B3%7D-y_%7B1%7D%29%2Bx_%7B3%7D%28y_%7B1%7D-y_%7B2%7D%29%5D)
(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
Answer:
Thus, 3/2 in, or 1.5 in, represents 1 mile.
Step-by-step explanation:
"3 quarter inches to the half mile" can be expressed as "3/4 inch to 1/2 mile."
Write and solve an equation of ratios to obtain the unit rate in inches/mi:
3/4 in x
---------- = ---------
1/2 mi 1 mi
Cross multiplying, we get 3/4 in-mi = (1/2) mi*x.
Solve this for x by mult. both sides by 2:
6/4 in-mi = x mi
and then dividing both sides by mi:
(6/4) in-mi
--------------- = 3/2 in
mi
Thus, 3/2 in, or 1.5 in, represents 1 mile.
Answer:
11
Step-by-step explanation:
If you notice the x values 5, 7, 9, x you'll see thy are going up by adding 2.
do 9 + 2 = 11
Answer:
January through
March
Step-by-step explanation:
I don’t understand what are u saying pls translate
