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Let’s check out your problem:
Which of these points are
5
5
5
units away from
(
−
6
,
−
3
)
(-6,-3)
(
−
6
,
−
3
)
? Select all that apply.
\newline
Multi-select Choices:
\newline
(A)
(
−
2
,
−
7
)
(-2,-7)
(
−
2
,
−
7
)
\newline
(B)
(
−
2
,
0
)
(-2,0)
(
−
2
,
0
)
\newline
(C)
(
−
3
,
−
7
)
(-3,-7)
(
−
3
,
−
7
)
\newline
(D)
(
−
9
,
−
1
)
(-9,-1)
(
−
9
,
−
1
)
View step-by-step help
Home
Math Problems
Precalculus
Operations with rational exponents
Full solution
Q.
Which of these points are
5
5
5
units away from
(
−
6
,
−
3
)
(-6,-3)
(
−
6
,
−
3
)
? Select all that apply.
\newline
Multi-select Choices:
\newline
(A)
(
−
2
,
−
7
)
(-2,-7)
(
−
2
,
−
7
)
\newline
(B)
(
−
2
,
0
)
(-2,0)
(
−
2
,
0
)
\newline
(C)
(
−
3
,
−
7
)
(-3,-7)
(
−
3
,
−
7
)
\newline
(D)
(
−
9
,
−
1
)
(-9,-1)
(
−
9
,
−
1
)
Calculate Distance:
Calculate the distance from
(
−
6
,
−
3
)
(-6,-3)
(
−
6
,
−
3
)
to each point using the
distance formula
: Distance
=
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
=
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
.
Compare Distances:
Compare each calculated distance to
5
5
5
units.
More problems from Operations with rational exponents
Question
f
(
x
)
=
6
x
+
5
2
−
14
+
5
x
f(x)=\frac{6 x+5}{2-\sqrt{14+5 x}}
f
(
x
)
=
2
−
14
+
5
x
6
x
+
5
\newline
We want to find
lim
x
→
−
2
f
(
x
)
\lim _{x \rightarrow-2} f(x)
lim
x
→
−
2
f
(
x
)
.
\newline
What happens when we use direct substitution?
\newline
Choose
1
1
1
answer:
\newline
(A) The limit exists, and we found it!
\newline
(B) The limit doesn't exist (probably an asymptote).
\newline
(C) The result is indeterminate.
Get tutor help
Posted 1 year ago
Question
Let
x
4
+
y
2
=
17
x^{4}+y^{2}=17
x
4
+
y
2
=
17
.
\newline
What is the value of
d
2
y
d
x
2
\frac{d^{2} y}{d x^{2}}
d
x
2
d
2
y
at the point
(
−
2
,
1
)
(-2,1)
(
−
2
,
1
)
?
\newline
Give an exact number.
Get tutor help
Posted 1 year ago
Question
What is the area of the region bound by the graphs of
f
(
x
)
=
x
−
2
,
g
(
x
)
=
14
−
x
f(x)=\sqrt{x-2}, g(x)=14-x
f
(
x
)
=
x
−
2
,
g
(
x
)
=
14
−
x
, and
x
=
2
x=2
x
=
2
?
\newline
Choose
1
1
1
answer:
\newline
(A)
19
6
\frac{19}{6}
6
19
\newline
(B)
99
2
\frac{99}{2}
2
99
\newline
(C)
151
2
\frac{151}{2}
2
151
\newline
(D)
45
2
\frac{45}{2}
2
45
Get tutor help
Posted 11 months ago
Question
Let
g
(
x
)
=
x
4
3
g(x)=x^{\frac{4}{3}}
g
(
x
)
=
x
3
4
.
\newline
g
′
(
27
)
=
g^{\prime}(27)=
g
′
(
27
)
=
Get tutor help
Posted 1 year ago
Question
Simplify
ln
(
1
e
)
\ln \left(\frac{1}{\sqrt{e}}\right)
ln
(
e
1
)
\newline
Answer:
Get tutor help
Posted 1 year ago
Question
Simplify
ln
(
1
e
)
\ln \left(\frac{1}{e}\right)
ln
(
e
1
)
\newline
Answer:
Get tutor help
Posted 1 year ago
Question
y
=
(
sin
−
1
(
5
x
2
)
)
3
y=(\sin^{-1}(5x^{2}))^{3}
y
=
(
sin
−
1
(
5
x
2
)
)
3
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Posted 1 year ago
Question
(
10
x
3
−
5
x
2
−
6
x
)
÷
(
2
x
2
)
\left(10x^{3}-5x^{2}-6x\right)\div\left(2x^{2}\right)
(
10
x
3
−
5
x
2
−
6
x
)
÷
(
2
x
2
)
Get tutor help
Posted 1 year ago
Question
y
=
cos
4
x
sin
4
x
y=\cos^{4}x\sin^{4}x
y
=
cos
4
x
sin
4
x
Get tutor help
Posted 1 year ago
Question
3
5
−
3
10
\frac{3}{5}-\frac{3}{10}
5
3
−
10
3
Get tutor help
Posted 1 year ago
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