Answer:
25 and 20
Step-by-step explanation:
p²=24²+7² ⇒ p²= 625 ⇒ p=25
q²=p²-15² ⇒ q²=625 - 225 ⇒ q²=400 ⇒ q= 20
The angle formed by two tangles results in half of the difference of the two arcs.
That is to say
70 = .5(Major arc - minor arc)
Think of the major arc as the larger and the minor the smaller.
So therefore the difference in the two arcs = 140 (multiplying both sides of the above equation by 2.
140 = major arc - minor arc.
Another necessary idea is that the arc of a whole circle = 360 degrees, that is to say the major arc + minor arc = 360, giving us a second equation to solve.
Assuming x is the minor arc.
140 = major arc - x
360 = major arc + x
Use linear combination and add these equations to get
500 = 2*major arc
major arc = 250
minor arc or x = 110.
The answer is 110 degrees.
Answer:
<em>P</em>arentheses/brackets
<em>E</em>xponents
<em>M</em>ultiply
<em>D</em>ivide
<em>A</em>dd
<em>S</em>ubtract
The quadratic equation is in factored form, which is f(x) = (x - a)(x - b), where a and b are the x-values for the x-intercepts.
The x-values for the x-intercepts are 4 and -2. We know that the y-value at any x-intercept must be 0 (otherwise it isn't an x-intercept).
Thus, either the points (4,0) or (-2,0) must be your answer (the question is only asking for one x-intercept).
