Step-by-step explanation:
the area of a trapezoid is
(b1 + b2)/2 × h = (10 + 5)/2 × 4 = 15 × 2 = 30 in²
Answer:
x = 14 units
Step-by-step explanation:
- Distance of both the chords from the center of the circle is 9 units.
- -> Both the chords are equal. (Chords equidistant from the center of the circle are equal)
- Perpendicular drawn from the center of the circle bisects the chord.
- -> Measure of one chord = 7 + 7 = 14 unit
- -> Measure of the other chord = 14 units
Answer:
20%
Step-by-step explanation:
Write the problem as a mathematical expression.
63/315
Convert to decimal
0.2
Times by 100
0.2 times 100
20%
Answer:
(x + 4)(2x - 3)
Step-by-step explanation:
Given
f(x) = 2x² + 5x - 12
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × -12 = - 24 and sum = + 5
The factors are + 8 and - 3
Use these factors to split the x- term
2x² + 8x - 3x - 12 ( factor the first/second and third/fourth terms )
2x(x + 4) - 3(x + 4) ← factor out (x + 4) from each term
(x + 4)(2x - 3)
Thus
f(x) = 2x² + 5x - 12 = (x + 4)(2x - 3) ← in factored form
Answer:
The recursive formula to model Kendyl's progress is:
Fourth option: an=an-1 + 2, a1=8
Step-by-step explanation:
She currently has the first eight bars memorized: The first value is 8:
a1=8
She plans to memorize two more bars everyday until she has the whole piece memorized:
The number of bars memorized is two more than the last day:
an=an-1 + 2
Then, the recursive formula is:
an=an-1 + 2, a1=8