Answer:
k=20
Step-by-step explanation:
when x approaches 4, the denominator x-4 approaches 0
if the denominator is 0, it means that this is invalid
if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit
so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4
so x^2 + x - k = 0 when x = 4
4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20
Answer:
5 feet
Step-by-step explanation:
P = 2(w + l)
P = 34
l = w + 7
34 = 2 (w + w + 7)
34 = 2w + 2w + 14
34 - 14 = 4w
20 = 4w
w = 5 feet
Since l = w + 7
l = 5 + 7
l = 12 feet
Answer:
-7 , -5
Step-by-step explanation:
use the AC method, find two numbers that multiply to 35 and add to 12. those numbers are 7 and 5. then u have (m+7)(m+5), so m = -7,-5
Answer:
960cm³
Step-by-step explanation:
Find the base of the triangle (use phytagoras theorem)
c²= a²+b²
20²= 16²+b²
400=256+b²
b²=400-256
b²= 144
b=
base= 12
Volume: (1/2×b×h)×l
= (1/2×12×16)×10
=(6×16)×10
=96×10
=960cm³
Answer:
56.549 cm (choice 1)
Step-by-step explanation:
If the area of the square if 36 cm, then each side is 6 cm.
That means the diameter for each semi circle is also 6 cm.
Formula for a semi circle is 1/2(πr²)
We need the radius, which is half the diameter. So the radius is 6÷2= 3
Now plug in to the formula.
A= 1/2(π3²)
A= 14.137 (nearest hundredths)
Now multiply that by 4, because there are 4 semi circles
4(14.137)= 56.549 cm (nearest hundredths)
