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charle [14.2K]
1 year ago
10

If p=5x and q=3x-1, show that 2pq=30x²-10x

Mathematics
1 answer:
Georgia [21]1 year ago
5 0

Answer:

<em>Solution in the attachment above..</em>

<h3><em><u>Hope it helps uh. !!!</u></em></h3><h2 /><h2><em><u>Stay</u></em><em><u> </u></em><em><u>Safe</u></em><em><u>!</u></em></h2>

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Simplify <br> −5x^4(−3x^2+4x−2)
malfutka [58]
112 me dió a eso mira haber si es si no trate.
6 0
3 years ago
Write a equation of a hyperbola given the foci and the asymptotes
professor190 [17]

Solution:

The standard equation of a hyperbola is expressed as

\begin{gathered} \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\text{ \lparen parallel to the x-axis\rparen} \\ \frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ \lparen parallel to the y-axis\rparen} \end{gathered}

Given that the hyperbola has its foci at (0,-15) and (0, 15), this implies that the hyperbola is parallel to the y-axis.

Thus, the equation will be expressed in the form:

\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ ----equation 1}

The asymptote of n hyperbola is expressed as

y=\pm\frac{a}{b}(x-h)+k

Given that the asymptotes are

y=\frac{3}{4}x\text{ and y=-}\frac{3}{4}x

This implies that

a=3,\text{ and b=4}

To evaluate the value of h and k,

undefined

3 0
1 year ago
I need help pleasssss
Yakvenalex [24]

Answer:

  3)  16.2

Step-by-step explanation:

The supplement to the 115° angle on the right is 65°, the same as the angle at upper left. The vertical angles at C are the same measure, so this tells you that the two triangles FCB and ACD are similar by the AA similarity postulate. That being the case, corresponding sides are proportional:

  CB/CD = CF/CA

  CB = CD·CF/CA = 7.2·21.6/9.6

  CB = 16.2

_____

When given two "point-to-point" triangles like this, quite often there is some sort of similarity relationship involved. First, you need to figure out what it is; then you need to make use of it as needed to answer the question being asked.

4 0
3 years ago
Points Possible: 1, Points Correct: 0 Given the equation y = x + 9, what is the y -intercept?
-Dominant- [34]

Answer:

9

Step-by-step explanation:

The equation says y = x + 9

Therefore, y = 9 since x = 0 on the y axis.

Picture of graph also attached :)


8 0
3 years ago
Can someone help me with this problem please ​
salantis [7]
Domain: f (x) is the set of all values for which the function is defined
range: the set of all values that f takes
hope this helps
4 0
3 years ago
Read 2 more answers
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