ON = MN =x
ON² + MN² = OM²
x² + x² = 8²
2x² = 64
x² = 32
x = √32 = 4√2
Answer:
The relationship between the lengths of the sides of the triangle is that they all follow the Pythagorean Theorem (at least I'm pretty sure that's the answer.
Step-by-step explanation:
If you plug in the smaller sides like 9^2+40^2 which equals to 1681. Then you square 1681, you'll get 41 as your hypotenuse. The sides of triangle provided above your question, should follow the formula given to you which is c^2=a^2+b^2. Just to be safe, you can check if all of the triangle sides actually are true for the Pythagorean theorem.
Answer:
Step-by-step explanation:
This limit can be written as follows
Direct substitution means that we substitute in the value for x to get our limit
Answer:
y = x² + 6x + 8
Step-by-step explanation:
The zeros ( x- intercepts ) of the graph are x = - 4 and x = - 2, thus
the factors are (x + 4) and (x + 2) and the function is the product of the factors.
y = a(x + 4)(x + 2) ← a is a multiplier
To find a substitute (0, 8 ) the y- intercept into the equation
8 = a(0 + 4)(0 + 2) = a(4)(2) = 8a ( divide both sides by 8 )
a = 1, thus
y = (x + 4)(x + 2) ← expand using FOIL
= x² + 6x + 8
