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2 years ago

Describe how the graph of y= x2 can be transformed to the graph of the given equation.

1 answer:

6 0

Assume you mean the transformation from x^2 to (x-10)^2 + 8

Then, you first shift x^2 10 units right, you will get (x-10)^2

And, shift (x-10)^2 8 units upward, you will get (x-10)^2 + 8

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What multiplies to give you 15, and adds to give you -10?

Klio2033 [76]

The answer to this question is: 15

8 0

2 years ago

Read 2 more answers

Write an equation for the orbit of Saturn in the form x^2/a^2 + y^2/b^2 = 1

frozen [14]

Answer:

x²/2166784 +y²/2159989 = 1

Step-by-step explanation:

The relationship between the semi-axes and the eccentricity of an ellipse is ...

e = √(1 -b²/a²)

In order to write the desired equation we need to find 'b' from 'e' and 'a'.

<h3>semi-minor axis</h3>

Squaring the equation for eccentricity gives ...

e² = 1 -b²/a²

Solving for b², we have ...

b²/a² = 1 -e²

b² = a²(1 -e²)

<h3>ellipse equation</h3>

Using the given values, we find ...

b² = 1472²(1 -0.056²) = 2166784(0.996864) ≈ 2159989

The desired equation is ...

x²/2166784 +y²/2159989 = 1

7 0

1 year ago

Reina surveyed her friends, asking each of them, "How many times have you been to the amusement park?" The resulting data set ha

Anna [14]

Answer:

1. right, 2. median, 3. range or the IQR

Step-by-step explanation:

5 0

2 years ago

Help please?

Alla [95]

$\bf \begin{array}{clclll}
3^{1001}&\qquad &4^{1002}\\
\uparrow &&\uparrow \\
a&&b
\end{array}\\\\
-----------------------------\\\\
(a+b)^2-(a-b)^2\implies (a^2+2ab+b^2)-(a^2-2ab+b^2)
\\\\\\
a^2+2ab+b^2-a^2+2ab-b^2\implies 2ab+2ab\implies 4ab
\\\\\\
now\qquad 4(3^{1001})(4^{1002})=k12^{1001}\qquad 
\begin{cases}
12^{1001}\\
(4\cdot 3)^{1001}\\
4^{1001}\cdot 3^{1001}
\end{cases}$

$\bf \\\\\\
4(3^{1001})(4^{1002})=k(4^{1001}\cdot 3^{1001})\implies \cfrac{4(3^{1001})(4^{1002})}{4^{1001}\cdot 3^{1001}}=k
\\\\\\
4\cdot \cfrac{3^{1001}}{3^{1001}}\cdot \cfrac{4^{1002}}{4^{1001}}=k\implies 4\cdot 4^{1002}4^{-1001}=k\impliedby 
\begin{array}{llll}
\textit{same base}\\
\textit{add the}\\
exponents
\end{array}
\\\\\\
4\cdot 4^{1002-1001}=k\implies 4\cdot 4^1=k\implies 16=k$

6 0

3 years ago

Help!!!! Asap!<br> I’m not understanding this I really need help !!! Please

jenyasd209 [6]

Answer:

Opposite Angles Theorem

Step-by-step explanation:

All opposite angles are congruent, meaning that two angles created by intersecting lines that oppose eachother are equal in size. The theorem goes by different names, so I don't know exactly what your teacher is asking for, but I hope I could help.

5 0

2 years ago