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
I can help if I see the problem
If you can label your graph then I could a lot more, but
f(x) = 5x
Ordered pairs : (1,5) (0,0) (2,10)
Domain [0,infinity)
Range [0, infinity)
Mapping
0 0
1. 5
2. 10
3. 15
4. 20
5. 25
Answer:
OPTION 1
Step-by-step explanation:
You just basically plug in x and y values in all the equations and check if you get the same answer each time.
Option 1 is correct because when you plug in let's say the first coordinates,10 and 4 it does give you 6 which is right.
Or you can test it the other way, just plugging in x values and see if you get the right y value for it shown above in the table.
Hope this helps!
It is given that Joe was being exposed to an electromagnet shrinking machine. Because of this his height started decreasing .
Given,
The decrease was at a constant rate per second.
In 1.5sec, the height is decreased by 120cm.
So,
Variation per second =
Change in each second would be with negative sign indicate's decrease .
Hence, Answer is “-80” .
Hope it's helpful to you.
Please mark as Brainliest answer.
