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3 years ago

A parabola can be drawn given a focus of (4,-8) and a directrix of x = -4. What can be said about the parabola?

Mathematics

1 answer:

Pani-rosa [81]3 years ago

6 0

Answer:

It opens to the right and the vertex is at (0, -8).

The axis of symmetry is y = -8.

Step-by-step explanation:

The vertex is halfway between the directrix and the focus.

The focus is to the right of the directrix so the curve will open towards the right. The axis of symmetry is the line y = -8.

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Simplify the trigonometric expression sin(4x)+2 sin(2x) using Double-Angle

drek231 [11]

Answer:

${ \bf{ = \sin(4x) + 2 \sin(2x) }} \\ = { \bf{2 \sin(2x) \cos(2x) + 4 \sin(x) \cos(x) }} \\ { \bf{ = 4 \sin(x) \cos(x) . ({ \cos }^{2} x - { \sin}^{2} }x) + 4 \sin(x) \cos(x) } \\ = { \bf{4 \sin(x) \cos(x) ( { \cos }^{2}x - { \sin }^{2}x + 1) }} \\ = { \bf{4 \sin(x) \cos(x) }(2 { \cos }^{2} x)} \\ = { \bf{8 \sin(x) { \cos}^{3}x }}$

8 0

2 years ago

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 4 to 7. If there were 5

Kipish [7]

4/7 = y/5019....with y being yes votes
cross multiply
(7)(y) = (4)(5019)
7y = 20076
y = 20076/7
y = 2868 <=== yes votes

total of yes and no votes : 5019 + 2868 = 7887

8 0

3 years ago

Step by step how to get 22.04 times 2.8 with work

Bumek [7]

Answer:

61.712

Step-by-step explanation:

Multiply .8x.04

Multiply .8x.0

Multiply .8x2

Than add a zero under the answer of .8x.04

Multiply 2x.04

Multiply 2x.0

Multiply 2x2

Multiply 2x 2

4 0

2 years ago

10 points plz help thanks

ryzh [129]

Answer:

Step-by-step explanation:

3 0

3 years ago

What is the answer to this math problem

pishuonlain [190]

Answer:

Domain: c)

Range: d)

Step-by-step explanation:

The domain means all of the possible x-values. To find the domain, find the leftmost and rightmost value of x. They are 0 and 8.5.

The range means all of the possible y-values. To find the range, find the lowest and higher values for y. They are 0 and 12.5.

"All numbers" means x or y can be any number, decimal decimal numbers. "Whole numbers" mean x or y can only be numbers that don't have decimals.

Both x and y can be decimal numbers because the graph is not broken up. If it could only be whole numbers, the graph would be dots.

4 0

3 years ago