What is the midpoint of the line segment graphed below?(-12-3)(5-10)
2 answers:
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9514 1404 393
Answer:
5.2 in
Step-by-step explanation:
An equiangular triangle is also equilateral. All sides will be 6 inches, and the height line will be a perpendicular bisector of the side.
Using trig, the height is ...
(3 in)tan(60°) = 3√3 in ≈ 5.2 in
Using the Pythagorean theorem, ...
h² = 6² -3² = 27
h = √27 ≈ 5.2 . . . inches
Answer:
Step-by-step explanation:
So the first step is to add like terms since you can simplify the numerator by adding the two values sine they have the same variable and degree.
Add like terms:
Divide by 2x (divide coefficient by 2, subtract coefficient degrees)
Multiply exponents and raise 4 to the power of 5
The reason you multiply exponents is because you can think about it like this:
(4 * x * x * x * x * x * x * x * x) (this has one 4 and 8 x's because x is raised to the power of 8. Now if you do that 5 times which is what the exponent is doing you're going to have 40 x's and 8 4's. So it's essentially
(4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x). If you group like terms you'll get (4 * 4 * 4 * 4 * 4) * (x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x). Which simplifies to 4^5 * x ^ (8 * 5) which further simplifies to the answer 1024x^40