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Anuta_ua [19.1K]
3 years ago
14

A parabola has a vertex at the origin. The equation of the directrix of the parabola is y = 3. What are the coordinates of its f

ocus? (0,3) (3,0) (0,–3) (–3,0)
Mathematics
2 answers:
mylen [45]3 years ago
7 0

Answer:

(0, -3)

Step-by-step explanation:

The vertex is halfway between the directrix and the focus.  The vertex is at (0, 0) and the directrix is a (0, 3).  There are 3 units between them, so that means that the focus is 3 units the other way at (0, -3).

Verdich [7]3 years ago
4 0

Answer:0,-3

Step-by-step explanation:

just took test:)

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5. Mississippi and Georgia have a total of 21 electoral votes. Mississippi has 6 electoral votes. Use mental math or the guess,
MrRa [10]

Answer:  g = 15 . Georgia has 15 electoral votes.

Step-by-step explanation:

Mental math:  How many do I need to make up the difference?

counting by 5s:  5, 10 15, 20.  

6 is one more than 5.

From 5, three more 5's gets us close to 20.  It works.

6 + 15 = 21

8 0
3 years ago
Write the expression using a single component x^56/x^24
KiRa [710]

Answer: x^#22

Step-by-step explanation: Cancel the common factor of

x^56 and x^24.

So your answer is x^32 I’m trying my best to explain the answer.

4 0
4 years ago
graph 1 graph 2 graph 3 graph 4 Which graph represents the function f(x) = x2 + 3x + 2? A. graph 1 B. graph 2 C. graph 3 D. grap
stiv31 [10]

Answer:

See attachment

Step-by-step explanation:

To see clearly the graph that represents

f(x) =  {x}^{2}  + 3x + 2

we rewrite in vertex form to get;

f(x) = (x +  \frac{3}{2})^{2}  -  \frac{1}{4}

This is a vertical parabola with vertex at (-1.5,-0.25) and opens upwards.

The required graph is shown in the attachment.

3 0
3 years ago
PLEASE HELP I will give you a brainliest
Fed [463]

Answer:

when x = -1,  y = -3

when x = -1,  y = -1

when x = -1,  y = 1

when x = -1,  y = 3

Step-by-step explanation:

x = -1;  plug in y = 2(-1) - 1 = -2 - 1 = -3

x = 0;  plug in y = 2(0) - 1 = 0 - 1 = -1

x = 1;  plug in y = 2(1) - 1 = 2 - 1 = 1

x = 2;  plug in y = 2(2) - 1 = 4 - 1 = 3

3 0
3 years ago
Lines LaTeX: CEC E and LaTeX: ADA D intersect at LaTeX: BB.
Goshia [24]

Answer:

✔️The measure of angle <CBA is equal to the measure of angle <DBE.

✔️The measure of angle CBD is equal to the measure of angle ABE.

✔️The sum of the measures of angles CBD and CBA is 180 degrees.

Step-by-step explanation:

Vertical angles are formed when two straight lines intersect each other at a certain point. The diagram given is a typical example. This, vertical opposite angles formed are said to be congruent, that is their measures are equal to each other.

The following statements are true of the given diagram:

✔️The measure of angle <CBA is equal to the measure of angle <DBE.

(<CBA and ,<DBE are vertically opposite angles)

✔️The measure of angle CBD is equal to the measure of angle ABE.

(They are both vertically opposite angles)

✔️The sum of the measures of angles CBD and CBA is 180 degrees.

(<CBA and <CBD are supplementary angles)

3 0
3 years ago
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