Answer:
Step-by-step explanation:
area= lxw multiply all sides
Answer:
4 miles
Step-by-step explanation:
15 min. / 1 mile = 60 min. / x miles
Cross multiply.
15x = 60
Divide by 15
x = 4 miles
Answer:
B
Step-by-step explanation:
Given the 2 equations
x³ + y = 0 → (1)
11x² - y = 0 → (2)
Add (1) and (2) term by term to eliminate the term in y
x³ + 11x² = 0 ← factor out x² from each term
x²(x + 11) = 0
Equate each factor to zero and solve for x
x² = 0 ⇒ x = 0
x + 11 = 0 ⇒ x = - 11
Substitute these values into (1) for corresponding values of y
(1) y = - x³
x = 0 ⇒ y = 0 ⇒ (0, 0) is a solution
x = - 11 ⇒ y = - (- 11)³ = 1331 ⇒ (- 11, 1331) is a solution
Step-by-step explanation:
We must take our equation and put it in vertex form,
f
(
x
)
=
a
(
x
−
h
)
2
+
k
where
h
,
k
is our vertex.
This equation will not factor into two squares
(
x
−
h
)
2
so we must use the completing the square method.
First we'll get rid of the
3
by subtracting it giving
x
2
−
4
x
=
−
3
Next we take half of the -4 the square it and add it to our equation to give us
x
2
−
4
x
+
4
. Since we added
4
to the left, we must also add it to the right giving
x
2
−
4
x
+
4
=
+
4
−
3
.
Now we can factor the left into two perfect squares,
(
x
−
2
)
2
=
1
.
Finally, we subtract
1
from both sides giving
(
x
−
2
)
2
−
1
. Our vertex is
h
,
k
giving
2
,
−
1
Answer: 4
Step-by-step explanation:
Formula:
logb(x) = y, if by = x
Input:
x = 256
b = 4
Solution:
y = log4 256
= log4 44
= 4 log4 4 = 4 x 1
log4 256 = 4
