Answer: 10
Step-by-step explanation:
16 x 5/8
reduce the numbers to 2 x 5
cross out 16 and 8 and you have 5 left, 16 divided by 8 = 2
2 x 5 = 10
hope this makes sense and helps you :)
a) x=4 is 5 units to the right of x=-1.
y=12 is 4 units up from y=8.
Your point (-1, 8) is translated to (4, 12).
___
b) If the parent function f(x) = x is translated so it goes through (4, 12), the translated function can be written ...
... g(x) = f(x-4) +12 = (x -4) +12
... g(x) = x +8
Answer:
<em>b., each time you multiply by 4 so you are increasing by 4, exponentially, you can also literally eliminate all the other choices </em>
<em />
Step-by-step explanation:
ITS B I GOT IT RIGHT IF YOU NEED A LONGER EXPLAINING I WELL DO THAT
Step-by-step explanation:
Use the standard form to write two equations using points A and B:
(
−
2
−
h
)
2
+
(
0
−
k
)
2
=
r
2
(
5
−
h
)
2
+
(
1
−
k
)
2
=
r
2
Because
r
2
=
r
2
, we can set the left sides equal:
(
−
2
−
h
)
2
+
(
0
−
k
)
2
=
(
5
−
h
)
2
+
(
1
−
k
)
2
Expand the squares using the pattern
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
4
+
4
h
+
h
2
+
k
2
=
25
−
10
h
+
h
2
+
1
−
2
k
+
k
2
Combine like terms (noting that the squares cancel):
4
+
4
h
=
25
−
10
h
+
1
−
2
k
Move the k term the left and all other terms to the right:
2
k
=
−
14
h
+
22
Divide by 2
k
=
−
7
h
+
11
[1]
Evaluate the given line at the center point:
2
h
+
k
−
1
=
0
Write in slope-intercept form
k
=
−
2
h
+
1
[2]
Subtract equation [2] from equation [1]:
k
−
k
=
−
7
h
+
2
h
+
11
−
1
0
=
−
5
h
+
10
h
=
2
Substitute 2 for h in equation [2]
k
=
−
2
(
2
)
+
1
k
=
−
3
Substitute the center
(
2
,
−
3
)
into the equation of a circle using point A and solve for the value of r:
(
−
2
−
2
)
2
+
(
0
−
−
3
)
2
=
r
2
(
−
4
)
2
+
3
2
=
r
2
r
2
=
25
r
=
5
Substitute the center
(
2
,
−
3
)
and #r = 5 into the general equation of a circle, to obtain the specific equation for this circle:
(
x
−
2
)
2
+
(
y
−
−
3
)
2
=
5
2
<h3><u>Fraction to Decimal:</u></h3>
Divide the numerator (upper number) by the denominator (bottom number) on your calculator. Whatever number you get would be your decimal.
<h3><u>Decimal to Percent:</u></h3>
Take your decimal and use your calculator to multiply it by 100. Whatever number you get would be your percent. However, since it is a percent, you need to include the percentage unit.
<h3><u>Demonstration:</u></h3>
1/4 = 0.25
0.25 * 100(%) = 25%
