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Vinvika [58]
2 years ago
8

Write the equation of a line that is perpendicular to the given line and that passes through the given point.

Mathematics
1 answer:
Zigmanuir [339]2 years ago
4 0
-3x-6y=17

-6y=3x+17

y=-x/2-17/6 so the slope of the line is -1/2

For another line to be perpendicular to this one the product of their slopes must equal -1

(-1/2)m=-1, m=2  so the perpendicular line will have a slope of 2...

y=2x+b, using point (6,3) we can solve for b...

3=2(6)+b

3=12+b

b=-9 so

y=2x-9
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PLEASE HELP precal!
sergij07 [2.7K]
Check the picture below

so.. .hmmm the vertex is at the origin... and we know the parabola passes through those two points... let's use either.. say hmmm 100,-50, to get the coefficient "a"

keep in mind that, the parabolic dome is vertical, thus we use the y = a(x-h)²+k  version for parabolas, which is a vertical parabola

as opposed to x = (y-k)²+h, anyway, let's find "a"

\bf y=a(x-0)^2+0\implies y=ax^2\qquad 
\begin{cases}
x=100\\
y=-50
\end{cases}\implies -50=a100^2
\\\\\\
\cfrac{-50}{100^2}=a\implies -\cfrac{1}{200}=a
\\\\\\
thus\qquad \qquad y=-\cfrac{1}{200}x^2\implies \boxed{y=-\cfrac{x^2}{200}}

now.. .your choices, show.... a constant on the end.... a constant at the end, is just a vertical shift from the parent equation, the equation we've got above.. is just the parent equation, since we used the origin as the vertex, it has a vertical shift of 0, and thus no constant, but is basically, the same parabola, the one in the choices is just a shifted version, is all.


5 0
3 years ago
When h has the value 12 calculate 5h - 2
yarga [219]

Answer:

5h - 2

<em>(</em><em>5</em><em>×</em><em>1</em><em>2</em><em>)</em><em>-</em><em>2</em>

<em>6</em><em>0</em><em>-</em><em>2</em>

<em>=</em><em><u>5</u></em><em><u>8</u></em>

7 0
2 years ago
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Try photo math it is very helpful
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2 years ago
Marcus estimates that 230 people will attend Detroit concert there was an actual total of 300 people who attended at your concer
ivolga24 [154]
The answer is 70 people will attend
7 0
3 years ago
The coordinates of the vertices if JKL are J(0,2),K(3,1),And K(1,-5)
Anika [276]

Answer:

K(3,1),And K(1,-5),j(0,2) t

Step-by-step explanation:


7 0
3 years ago
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