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VikaD [51]
2 years ago
7

Find the vertex focus and directrix of (x-2)^2=-8(y+3)

Mathematics
1 answer:
tatuchka [14]2 years ago
6 0

Answer:

Step-by-step explanation:

the directrix is y=-1

I don't know what the vertex focus is.

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Write -41.27 as a mixed number.
Salsk061 [2.6K]

Answer:

-41 27/100

Step-by-step explanation:

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2 years ago
Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots StartRoo
anastassius [24]

Answer:

a) f(x)=3x^{3}-6x^{2}-15x+30

Step-by-step explanation:

1) In this question we've been given "a", the leading coefficient. and two roots:

x_{1}=\sqrt{5}\:x_{2}=2

2) There's a theorem, called the Irrational Theorem Root that states:

If one root is in this form x'=\sqrt{a}+b  then its conjugate x''=\sqrt{a}-b. is also a root of this polynomial.

Therefore

x_3=-\sqrt{5}

3) So, applying this Theorem we can rewrite the equation, by factoring. Remembering that x is the root. Since the question wants it in this expanded form then:

f(x)=3(x-\sqrt{5})(x+\sqrt{5})(x-2)\Rightarrow 3x^{3}-6x^{2}-15x+30

4 0
2 years ago
Read 2 more answers
Consider the following scenario:
shusha [124]

C. The number of times a dessert was offered at a special price.

8 0
2 years ago
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What is an equation of the line that passes through the points (6, -3)and (−6,−5)?
Lady_Fox [76]

Answer:

y = 1/6x -4

Step-by-step explanation:

First find the slope

m= ( y2-y1)/(x2-x1)

m=(-5 - -3)/( -6 -6)

   = (-5+3)/ (-6-6)

       = -2/-12

       = 1/6

The slope intercept form is

y= mx+b where m is the slope and b is the y intercept

y = 1/6 x +b

Substitute a point into the equation

-5 = 1/6(-6) +b

-5 = -1+b

Add 1 to each side

-4 = b

y = 1/6x -4

4 0
3 years ago
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Identify the area of a regular hexagon with side length 14 in. rounded to the nearest tenth.
kakasveta [241]
\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{4}ns^2\ cot\left( \frac{180}{n} \right)\qquad 
\begin{cases}
s=\textit{length of a side}\\
n=\textit{number of sides}\\
\frac{180}{n}=\textit{angle in degrees}\\
----------\\
s=14\\
n=6\leftarrow hexagon
\end{cases}
\\\\\\
A=\cfrac{1}{4}\cdot 6\cdot 14^2\cdot cot\left( \frac{180}{6} \right)

make sure your calculator is in Degree mode
4 0
3 years ago
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