Answer: hypotenuse = 
Step-by-step explanation: Pythagorean theorem states that square of hypotenuse (h) equals the sum of squares of each side (
) of the right triangle, .i.e.:
In this question:
= 
2bc
Substituing and taking square root to find hypotenuse:
Calculating:
= 
, then:
Hypotenuse for the right-angled triangle is units
There is a line and a parabola in the graph.
So, we will get the solution set from the point of intersection of both line and parabola.
Notice that the parabola and the line intersecting at two points E(1, 5) and C(-0.5,2).
So, the solution set is E(1, 5) and C(-0.5,2).
Answer:
7
Step-by-step explanation:
When you match the form
... ax² + bx + c = 0
to the equation
... 3x² + 5x + 7 = 0
it is reasonable to conclude that ...
... a = 3, b = 5, c = 7.
_____
The question presumes you are familiar with the form
... ax² +bx +c = 0
which is often used as the representation of a general quadratic equation. This lets us use a, b, and c instead of specific numbers, to talk about ways of factoring, graphing, or solving equations like this.
Answer:
Step-by-step explanation:
A) neither since the angles add to 179 deg.
B) neither since 63 + 47 = 110.
C) complementary since 61 + 29 = 90
Answer: A. 117,600 people.
