The best way to solve this one would be simple cross multiplying. Multiply the top of one side with the bottom of the other side. In this problem you need to multiply X with 8 and multiply 3 with 5. You'll get an equation of 8X=15, then divide both sides by 8 so that you get X by itself. Your answer will them be X=1.875
Answer:
38
Step-by-step explanation:
Let SUV be a triangle
Perimeter of SUV = SU+SV + UV
102 = 38 + 26 + UV
102 = 64 + UV
UV = 102 - 64
UV = 38
Hence the length of UV is 38
You can find the value of the hypotenuse if you apply the Pythagorean Theorem, which is show below:
h²=a²+ b² ⇒ h=√(a² + b²)
h: hypotenuse (the opposite side of the right angle and the longest side of the triangle).
a and b: legs (the sides that form the right angle).
Then, you have:
h²=a² + b²
h²=12²+12²
h=√ ((12)² + (12)²)
h=12√2
What is the lenght of the hypotenuse?
The answer is: The length of the hypotenuse is 12√2
Answer:
The roots of the polynomial are;
3 + 2i
and 3-2i
Step-by-step explanation:
Here, we want to solve the given polynomial using the completing the square method
We start by dividing through by 8
This will give;
x^2 - 6x = -13
To complete the square, we simply divide the coefficient of x by 2 and square it
We have this as -6/2 = -3
square it;; = (-3)^2 = 9
Add it to both sides
x^2 - 6x + 9 = -13 + 9
x^2 - 6x + 9 = -4
(x-3)^2 = -4
Find the square root of both sides
x-3 = ±2i
x = 3 + 2i
or x = 3-2i
Theorems are proven with geometric proof
