3 years ago

10x2 + 99x – 5) ÷ (x + 10) = ?

Mathematics

1 answer:

artcher [175]3 years ago

8 0

15+99x
------------
X+10
10x – 1 remainder 5

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Which of the following is equivalent to 34? A) 7 B) 12 C) 64 D) 81

Mamont248 [21]

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3 years ago

Which is the standard form of the equation of the parabola that has a vertex of (3, 1) and a directric of x = -2?

vagabundo [1.1K]

Check the picture below. So,the parabola looks like so, notice the distance "p". since the parabola is opening to the right, then "p" is positive, thus is 5.

$\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
\boxed{(y-{{ k}})^2=4{{ p}}(x-{{ h}})} \\\\
(x-{{ h}})^2=4{{ p}}(y-{{ k}}) \\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\$

$\bf -------------------------------\\\\
\begin{cases}
h=3\\
k=1\\
p=5
\end{cases}\implies (y-1)^2=4(5)(x-3)\implies (y-1)^2=20(x-3)
\\\\\\
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3 years ago

Read 2 more answers

What is the principal which would amount to $6900 in 3 years at 5% simple interest per annum?

balu736 [363]

Answer:

$6000

Step-by-step explanation:

accumulated amount = A = PI

A = $6900

Let P = x

6900 - I = x

I = (x)(0.05)(3yrs) = 0.15x

6900 - 0.15x = x

Add

6900 = 1.15x

Divide, solve for x

x = 6000

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3 years ago