Answer:
<h2>7 square units</h2>
Step-by-step explanation:
As you can observe in the image attached, we know the coordinates of each vertex of the triangle.
To find the area using only its vertex coordinates, we need to use the following formula
Where the coordinates are
Replacing coordinates, we have
![A=\frac{1}{2}[1(0 -5)+4(5 -1 )+3(1-0 ) ]\\A=\frac{1}{2} [-5+16+3]=\frac{1}{2}(14)\\ A=7](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B1%280%20-5%29%2B4%285%20-1%20%29%2B3%281-0%20%20%29%20%20%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%20%5B-5%2B16%2B3%5D%3D%5Cfrac%7B1%7D%7B2%7D%2814%29%5C%5C%20A%3D7)
Therefore, the area of the triangle is 7 square units. So, the right answer is the second choice.
Answer:
there is no attachmengt
Step-by-step explanation:
24-11+8
He BOUGHT 24 stickers, so you'd write 24. Then because he GAVE AWAY 11 stickers, you would subtract 11 from 24, which is 24-11. Then because Al BOUGHT 8 stickers you'd add the 8 to the 24-11 to get 24-11+8.
(Bought means to add and Gave away is subtracting)
<span>Simplifying
x2 + 8x + y2 + -2y = 64
Reorder the terms:
8x + x2 + -2y + y2 = 64
Solving
8x + x2 + -2y + y2 = 64
Solving for variable 'x'.
Reorder the terms:
-64 + 8x + x2 + -2y + y2 = 64 + -64
Combine like terms: 64 + -64 = 0
-64 + 8x + x2 + -2y + y2 = 0
The solution to this equation could not be determined.</span>
Answer:
663
Step-by-step explanation:
the total number of students can be determined using this equation :
(total ratio of Chinese and Indian students / total ratio of students) x n = 468
total ratio of Chinese and Indian students = 4 + 8 = 12
total ratio of students 4 + 8 + 5 = 17
N = TOTAL NUMBER OF STUDENTS
12/17) x n = 468
multiply both sides of the equation by 17/12
n = 663
