MATHEMATICS HIGH SCHOOL

A parabola and its focus are shown on the graph. the vertex of the parabola is at (0,0). what is the equation of the directrix of the parabola?A) Y=3
B) Y= -3
C) X= 3
D) X= -3
a parabola and its focus are shown on the graph. - 1

Answers

Answer 1
Answer:

Answer:

\boxed{\boxed{x=-3}}

Step-by-step explanation:

Relation between focus, vertex and directrix-

The vertex of the parabola is at equal distance between focus and the directrix. As any point on the parabola is equidistant from both focus and directrix.

And the directrix is always perpendicular to axis of symmetry and does not touch the parabola.

From the graph, the focus is at (3, 0) and axis of symmetry is x axis or y=0 line.

So the directrix will be horizontal and on the left of the parabola.

Hence, the equation of directrix of the given parabola will be x= -3
Answer 2
Answer: The correct answer is D X=-3, since the directrix is always the opposite distance from the vertex as the focus is.

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140% of what number is 14?

Answers

140% of  19.6 is  14  and  you are very welcome
140% of what number is 14
140%  ×     number      = 14
(140% = (140)/(100) = 1.4)
1.4      ×           n           = 14
Divide by 1.4 to isolate n
(1.4n)/(1.4) = (14)/(1.4)
1.4 and 1.4 cancels out
n = 10

140% of 10 is 14

Check:
(140)/(100) × 10 = 14
1.4 × 10 = 14
14 = 14

What is the end behavior of the graph of the polynomial function f(x) = 2x3 – 26x – 24?

Answers

The degree of the function is 3, so it's odd. The leading coefficient is 2, so it's positive. Therefore, the end behavior of the graph of the functions is:
as x approaches negative infinity, f(x) approaches negative infinity
as x approaches positive infinity, f(x) approaches positive infinity

The end behavior of a polynomial function is the behavior of the graph of as approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.

Degree - 3 (odd);

Leading coefficient - 2 (positive).

Then

  • when x\rightarrow -\infty, then f(x)\rightarrow -\infty;
  • when x\rightarrow \infty, then f(x)\rightarrow \infty.

See attached graph of the function for graphical illustration.

A. Linear PairB. Reflexive Property
C Vertical Angles are congruent
D. Alternate Interior Angles are Congruent
E. Given

Answers

C. Vertical angles are congruent

C. Vertical angles are congruent

Write a fraction for 2 copies of 1/6

Answers

1/6 = 2/12 = 3/18

multiply or divide the top bottom numbers by the same number

Please help me to answer this question thank you otherwise I my teacher will be so mad .

Answers

Answer:

2/3 ≈ 0.666667

5/11 ≈ 0.454545

5/6 ≈ 0.833333

6/7 ≈ 0.857143

Step-by-step explanation:

Easiest and fastest way to do this is to use a calculator to find your decimals and then approximate.

Answer:

2/3 = 2 divided by 3 so 2 divided by 3 = 0.666667. We round up because it is a repeating decimal which goes on forever

5/11= 5 divided by 11 = 0.454545

5/6 = 5 divided by 6 =0.833333

6/7 = 6 divided by 7 = 0.857143

rounded up because it is an infinite decimal

Hope this helps

Step-by-step explanation:

Which of the following scenarios exhibits a function relation? Take the first set listed to be the domain of the relation.the set of tree heights and the set of trees in a forest
the set of car make and models and the set of people in a certain town
the set of birthdays and the set of students in a class
the set of people with Social Security cards and the set of Social Security numbers

Answers

Answer:

The scenario that exhibits a function relation is:

    The set of people with Social Security cards and the set of Social Security numbers.

Step-by-step explanation:

We know that a function is a relation in which each element of first set has one image i.e. an element can't be mapped to two distinct elements of the other set.

a)

The set of tree heights and the set of trees in a forest.

This relation is not a function.

Since, two trees may have a same height.

b)

The set of car make and models and the set of people in a certain town.

This relation is also not a function.

Since, two people may have a car of same model.

c)

The set of birthdays and the set of students in a class

This relation is not a function since two students may share same birthday.

d)

The set of people with Social Security cards and the set of Social Security numbers.

This relation is a function.

Since, the security card number has a unique number on each car.

This means that each person has a unique card number.
The set of people with social security cards and the set of social cecurity numbers
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