Answer:
Use law of Cosines or Tangent
Step-by-step explanation:
This is a SAS triangle, where you have have an angle adjacent to two side lengths. But given that it is a right triangle, you can find the hypotenuse by just using the tangent formula. You can find the quantity of any angle by applying tan= opposite side/adjacent side length.
However, lets say you want to find the opposite side, side XZ, you can use the law of cosine which basically states:
c=a^2+b^2﹣2abcos(angle number). But since it is a right triangle, just use the hypotenuse theorem which states: C^2 = A^2 + B^2
The answer for XZ would thus be: squareroot of 136 or 2(34)^1/2.
Hope this helps :)
The correct answer is <span>y = -x(x - 1)(x + 2).</span>
Answer:
x = 75 and y = -72
Step-by-step explanation:
It is given that,
1/5 x + 1/8 y = 1 ------(1)
1/2 x − 1/3 y = 1 -------(2)
<u>To find the solutions of the system of equations</u>
Step 1: eq(1) * 5 ⇒
x + 5/8y = 5 ----(3)
Step 2: eq(2) * 2 ⇒
x - 2/3y = 2 -----(4)
Step 3: eq(3) - eq(4) ⇒
x + 5/8y = 5 ----(3)
<u>x - 2/3y = 2 -</u>----(4)
0 +(5/8 - 2/3)y = 3
-1/24 y = 3
y = -24*3 = -72
Step 4: Substitute the value of y in eq(1)
1/5 x + 1/8 y = 1 ------(1)
1/5 x + 1/8 (-72) = 1 ------(1)
1/5 x - 24 = 1
1/5 x = 25
x = 5*25 = 75
Therefor x = 75 and y = -72
Answer:
Step-by-step explanation:
f(n)=64+6n
f(n-1)=64+6(n-1)=64+6n-6=f(n)-6
f(n-1)+6=f(n)
or f(n)-f(n-1)=6
Answer:
32
Step-by-step explanation: It is 32