The answer
ellipse main equatin is as follow:
X²/ a² + Y²/ b² =1, where a≠0 and b≠0
for the first equation: <span>x = 3 cos t and y = 8 sin t
</span>we can write <span>x² = 3² cos² t and y² = 8² sin² t
and then </span>x² /3²= cos² t and y²/8² = sin² t
therefore, x² /3²+ y²/8² = cos² t + sin² t = 1
equivalent to x² /3²+ y²/8² = 1
for the second equation, <span>x = 3 cos 4t and y = 8 sin 4t we found
</span>x² /3²+ y²/8² = cos² 4t + sin² 4t=1
<h2><u>Graphing</u></h2>
<h3>The graph of this function is shifted 7 units right and shifted 5 units up.</h3>
<h3>f(x) = -2/3(x - 7)² - 5</h3>
<u>Answer:</u>
<u>Explanation:</u>
- Why false? As I noticed, in the equation f(x) = -2/3(x - 7)² - 5, the vertex is (7, -5). The value of a, which is -2/3, is negative. So the graph opens downwards. The graph shifts 7 units to the right, which is correct, but graphing 5 units up is wrong. Why? 5 is negative, so it should be shifted 5 units down.
Wxndy~~
Answer:
One month of gameplay costs $15
Step-by-step explanation:
Angie: 20 + 3x
Kenny: 20 + 2x
(20 + 3x) + (20 + 2x) = 115 --- add their costs together
(20 + 20) + (3x + 2x) = 115 --- collect like terms
40 + 5x = 115 --- simplify
5x = 75 --- subtract 40 from both sides
x = 15 --- divide both sides by 5
Answer:
The correct answer is B
Step-by-step explanation:
2(x-1) + 5x = x-8
Firstly, break all the brackets and you would got:
2x - 2 + 5x = x - 8
Put x into 1 side,
2x + 5x - x = -8 + 2
6x = -6
Divide both side by 6,
6x / 6 = -6/6
x = -1
The correct answer is B
Hope this help you :3
Answer:
They are proportional
Step-by-step explanation:
Y/X represents coordinates Y being rise X being run. So Y/X is equal to rise/run. If there was a coordinate grid, if the two points created a straight line that slant to the right I would be proportional. Since all I see is rise/run= 5 they are proportional. 5 represents the slope.
