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Savatey [412]
3 years ago
12

Which statement describes the graph?

Mathematics
1 answer:
Leya [2.2K]3 years ago
5 0

Answer:

A

Step-by-step explanation:

The answer is A, the graph raises, crosses at (0, 5) and then remains constant.

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Write the equation of a parabola with focus at (1,-4) and a directrix at X=2
konstantin123 [22]

Answer:

The equation of a parabola is

x =  \frac{1}{4(f - h)} (y - k) ^{2}  + h

Step-by-step explanation:

(h,k) is the vertex and (f,k) is the focus.

Thus, f = 1, k = −4.

The distance from the focus to the vertex is equal to the distance from the vertex to the directrix: f - h = h - 2.

Solving the system, we get h = 3/2, k = -4, f = 1.

The standard form is:

x =  -  \frac{y ^{2} }{2}  - 4y -  \frac{13}{2}

The general form is:

2x +  {y}^{2}  + 8y + 13 = 0

The vertex form is:

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

The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = -4.

The focal length is the distance between the focus and the vertex: 1/2.

The focal parameter is the distance between the focus and the directrix: 1.

The latus rectum is parallel to the directrix and passes through the focus: x = 1.

The length of the latus rectum is four times the distance between the vertex and the focus: 2.

The eccentricity of a parabola is always 1.

The x-intercepts can be found by setting y = 0 in the equation and solving for x.

x-intercept:

( -  \frac{13}{2}  \: ,0)

The y-intercepts can be found by setting x = 0 in the equation and solving for y.

y-intercepts:

(0, - 4 -  \sqrt{3)}

(0, - 4 +  \sqrt{3)}

3 0
3 years ago
What is the missing term? (10x-4x^2)-(7x+?)=3x-6x^2
mafiozo [28]
The answer is 2x<span>^2
Because everything on the right of the minus sign will turn negative

</span>
6 0
4 years ago
Read 2 more answers
Please answer this correctly
kotykmax [81]

Answer:

Option C

20 +40g

Step-by-step explanation:

5(4 +8g)

20 +40g

4 0
3 years ago
Bubble map vocabulary<br><br> decimal
alisha [4.7K]
Decimal is the dot used after the ones to show parts of one you normally see it in money. 1.50. The . between 1 and 50 is the decimal. Whats in front of the decimal is ones, tens, hundreds, etc and after the decimal is tenths, hundredths, etc.

Hope I helped<span />
6 0
3 years ago
What is the value of h in the equation 8h = 60
irga5000 [103]

Answer:

h= 7.5

Step-by-step explanation:

8h=60

One solution was found :

                  h = 15/2 = 7.500

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    8*h-(60)=0

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  8h - 60  =   4 • (2h - 15)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    2h-15 = 0

Add  15  to both sides of the equation :

                     2h = 15

Divide both sides of the equation by 2:

                    h = 15/2 = 7.500

One solution was found :

                  h = 15/2 = 7.500

Processing ends successfully

7 0
3 years ago
Read 2 more answers
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