Answer:
1/3
Step-by-step explanation:
The formula for computing the sum of an infinite geometric series is
where r is between -1 and 1 and is the common ratio, and is the first term of the series.
So let's plug in:
I multiplied bottom and top by 10.
I divided top and bottom by 3.
The sum is 1/3.
Answer:
ABD is 60⁰. DBC is 30⁰.
Step-by-step explanation:
..
Answer:
x = 58 and y = 15
Step-by-step explanation:
(c)
The sum of the 3 angles in a triangle = 180°
In Δ ADE
∠ DAE = 180° - (50 + 72)° = 180° - 122° = 58°
∠ DAE and ∠ CAB are vertical and congruent, thus
x = 58
(d)
Δ ACD is equilateral thus all 3 angles = 60°
∠ CAB and ∠ CAD are adjacent and supplementary, thus
∠ CAB = 180° - 60° = 120°
Since CA = BA then Δ ABC is isosceles with base angles congruent, thus
2y + 2y = 60
4y = 60 ( divide both sides by 4 )
y = 15
What do u mean a reasonable value of the range range is used when there are 2 numbers not in a sentence
9514 1404 393
Answer:
22
Step-by-step explanation:
Put -3 where x is and do the arithmetic.
f(-3) = 3(-3)² -2(-3) -11 = 27 +6 -11
f(-3) = 22
_____
<em>Additional comment</em>
Sometimes evaluation is easier if you rewrite the polynomial in Horner form:
f(x) = (3x -2)x -11
f(-3) = (3(-3) -2)(-3) -11 = -11(-3) -11 = 33 -11 = 22