Answer:
,
Step-by-step explanation:
The function of the graph can be written in the vertex form as
, where V(h,k)=V(2,4) is the vertex of the quadratic function.
We substitute the value to obtain;
,
The point (5,1) lies on the graph so we use it to determine the value of a.
,
,
,

The required equation is
,
Based on the calculations, the measures of angles 1 and 2 are 50° and 135° respectively.
<h3>What is the theorem of intersecting chord?</h3>
The theorem of intersecting chord states that when two (2) chords intersect inside a circle, the measure of the angle formed by these chords is equal to one-half (½) of the sum of the two (2) arcs it intercepts.
By applying the theorem of intersecting chord to circle U shown in the image attached below, we can infer and logically deduce that angle 1 will be given by this formula:
m∠1 = ½(53 + 47)
m∠1 = ½(100)
m∠1 = 50°.
Since angles 1 and 2 are linear pair, they are supplementary angles. Thus, we have:
m∠1 + m∠2 = 180°
m∠2 = 180 - m∠1
m∠2 = 180 - 50
m∠2 = 130°.
Read more on intersecting chords here: brainly.com/question/27251228
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Answer:
65
Step-by-step explanation:
Answer:
14 3/4 years
Step-by-step explanation:
Let's assume compound inflation. The appropriate formula for that is:
A = P(1 + r)^t.
If we represent current prices by P, then double that would be 2P:
2P = P(1 + 0.048)^t Find t, the time required for prices to double.
Then:
2 = 1.048^t
Taking the natural log of both sides, we get:
ln 2 = t·ln 1.048, so that:
t = (ln 2) / (ln 1.048) = 14.78
At 4.8 inflation, with annual compounding, prices will double in approx. 14 3/4 years.
Answer:
yque ha haceqr ailluey
Step-by-step explanation: