Answer:
9 centimeters
Step-by-step explanation:
Let the width be represented by l - 5, where l is the length.
Use the area formula, A = lw, and plug in l - 5 as w, and 36 as the area. Then, simplify and factor
A = lw
36 = l(l - 5)
36 = l² - 5l
0 = l² - 5l - 36
Factor:
(l - 9)(l + 4)
Set equal to zero and solve for both solutions:
(l - 9)(l + 4) = 0
l - 9 = 0
l = 9
l + 4 = 0
l = -4
The length cannot be negative, so the answer has to be 9.
The length is 9 centimeters
Answer:
5/12
Step-by-step explanation:
Total ear buds in Mrs. Jackson’s class = 5/8
Number of black ear buds in Mrs. Jackson’s class = 2/3
What fraction of
the scholars have black ear buds?
2/3 of the scholars have black ear buds in Mrs. Jackson’s class
2/3 of 5/8
= 2/3 × 5/8
= 10/24
= 5/12
Fraction of the scholars that have black ear buds = 5/12
The next term in the sequence is -13.75.
Answer:
The answer is (d) ⇒ eccentricity = 6 , hyperbola , directrix x = 3/2
Step-by-step explanation:
∵ r = ek/(1 ± ecosФ)
∵ r = 9/(1 + 6cosФ)
∴ e = 6 ⇒ eccentricity = 6
∵ e > 1
∴ The conic is hyperbola
∵ ek = 9
∴ k = 9/6 = 3/2
∴ The directrix x = 3/2