The median is 52, so the answer would be B.
Answer: x=0.6435011
Step-by-step explanation:
Take the inverse tangent of both sides of the equation to extract
x
from inside the tangent.
x
=
arctan
(
3
4
)
Evaluate
arctan
(
3
4
)
.
x
=
0.6435011
The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from
π
to find the solution in the fourth quadrant.
x
=
(
3.14159265
)
+
0.6435011
Simplify the expression to find the second solution.
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x
=
3.78509376
Find the period.
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π
The period of the
tan
(
x
)
function is
π
so values will repeat every
π
radians in both directions.
x
=
0.6435011
+
π
n
,
3.78509376
+
π
n
, for any integer
n
Consolidate the answers.
x
=
0.6435011
+
π
n
, for any integer
n
Solutions
Factor <span>3x</span>²<span><span>−2x−8</span><span>
</span></span>1. Multiply 3 by -8, which is -24.
2. Ask: Which two numbers add up to -2 and multiply to -24?
3. Answer: 4 and -6
4. Rewrite <span>−2x </span>as the sum of <span>4x </span>and <span>−6x</span>:

<span>
</span><span>Factor out common terms in the first two terms, then in the last two terms
</span>
Factor out the common term <span>3x+4
</span>
Solve for <span>x
</span>1. Ask: When will <span>(3x+4)(x−2) </span>equal zero?
2. Answer: When <span>3x+4=0 </span>or <span>x−2=0.</span>
3. Solve each of the 2 equations above:
x = −<span>4 / 3</span>,<span>2</span>
Answer:
12 m
Step-by-step explanation:
Given that the design, ABCD, was dilated to get a photocopy, EFGH, a scale factor or ratio was multiplied by the original lengths of the design to get the new measurement of the photocopy.
Thus, we are given the ratio, CD:GH = 2:3.
This means, any of the corresponding lengths of both figures would be in that same ratio.
Using the ratio of the design to the photocopy, 2:3, we can find the length of side EH of the photocopy.
The corresponding side of EH in the design is AD = 8m. Thus, AD to EH = ⅔


Cross multiply


Divide both sides by 2 to make EH the subject of formula


The length of side EH = 12 m