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romanna [79]
3 years ago
11

What is x in the equation28=8+5x?

Mathematics
1 answer:
mote1985 [20]3 years ago
5 0

Answer:


Step-by-step explanation:

28=8+5x

20=5x

=4

four is your answer

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Which of the following inequalities is correct?
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Is the answer -5 > 0?

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Write the equation of a parabola whose focus is at (-7, 3) and whose directrix is the line x = -3.
Sav [38]

Check the picture below.

now, let's keep in mind that, the vertex is half-way between the focus point and the directrix, it's a "p" distance from each other.

since this horizontal parabola is opening to the left-hand-side, "p" is negative, notice in the picture, "p" is 2 units, and since it's negative, p = -2.

its vertex is half-way between those two guys, so that puts the vertex at (-5, 3)

\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ 4p(y- k)=(x- h)^2 \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-5\\ k=7\\ p=-2 \end{cases}\implies 4(-2)[x-(-5)]=[y-7]^2 \\\\\\ -8(x+5)=(y-7)^2\implies x+5=\cfrac{(y-7)^2}{-8}\implies \boxed{x=-\cfrac{1}{8}(y-7)^2-5}

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2. What is 75% of 300?
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Answer:

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Step-by-step explanation:

-5x+3y= -93x+7y=23

we cannot do anything to numbers with unlike signs so we will do this

23=-5x+3y=-93x+7y

now we will take the numbers with like signs to one place like this

23=-5x+93x+3y+7y

now we can solve this

- x + = -

+ x+=+

-x-=-

23= 88x+10y ANSWER

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3 years ago
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