Answer:
<u>The solution of this system of equation is ( 3, - 8)</u>
Step-by-step explanation:
1. Let's solve the system of equations:
First equation:
x + 2y = - 13
x = - 13 - 2y
Second equation:
12x + 5y = -4
12 * (- 13 - 2y) + 5y = - 4 (Replacing x with - 13 - 2y)
-156 -24y + 5y = - 4
-24y + 5y = - 4 + 156 (Like terms)
-19y = 152
y = - 152/19
<u>y = -8</u> (Dividing by 19)
Solving x
x + 2y = -13
x + 2 (- 8 ) = - 13
x - 16 = - 13
x = - 13 + 16
<u>x = 3</u>
2. Proving that x = 3 and y = - 8 are correct:
12x + 5y = -4
12 * 3 + 5 * -8 = -4
36 - 40 = - 4
- 4 = - 4
<u>We proved that x = 3 and y = - 8 are correct</u>
Answer:
What you are looking at is a scalene triangle!
Step-by-step explanation:
By definition scalene triangles are triangles where each side is a different length... hope this one helps you!
Answer:
Step-by-step explanation:
We can form a right triangle and use basic trig for a right triangle to solve this problem:
, where 
is the height of the tree.
Solving, we get:
.
Answer:
12/13
Step-by-step explanation:
The cosine of an angle in a triangle can be calculated as a relation between the adjacent side and the hypothenuse. So, in this case the adjacent side of θ is 24 and the hypothenuse is 26.
Then:
cos(θ) = 24/26 = 12/13
Simple, 7/12 is greater than 1/3 because 7/12=0.58333 and 1/3=0.333, 0.58333 is greater than 0.333. That is how I know that 7/12 is greater than 1/3. I know that 1/3 is less than 2/3 because 1/3=0.333 and 2/3=0.666, 0.333 is less than 0.666
