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LUCKY_DIMON [66]
3 years ago
9

Plz plz answer this i'll give 11 points

Mathematics
1 answer:
shutvik [7]3 years ago
4 0

Answer:

A =bh

Step-by-step explanation:

2 1/2 times 5 1/4 = 13.125

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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
2 years ago
Practice using graphs of equivalent ratios. On a coordinate plane, point (2, 3) is plotted.A 2-column table with 3 rows. Column
koban [17]

Answer:

2

Step-by-step explanation:

if you multiply 2 by 3=6

  1. 2×2=4
  2. 3×3=9

8 0
2 years ago
Read 2 more answers
A ball is thrown in the air from a ledge. Its height in feet is represented by 
Genrish500 [490]

check the picture below.

\bf \stackrel{f(x)}{0}=-16(x^2-6x-7)\implies 0=x^2-6x-7 \\\\\\ 0=(x-7)(x+1)\implies x= \begin{cases} \boxed{7}\\ -1 \end{cases}

it cannot be -1, because is a seconds amount after moving.

8 0
3 years ago
Liliana solved the equation below. When she tried to verify her answer, she realized she made an error.
katrin2010 [14]
It should be :
1/3(x + 18) = 7
1/3x + 6 = 7
1/3x + 6 - 6 = 7 - 6
1/3x = 1
x = 3
6 0
3 years ago
Read 2 more answers
A speeding car passes a cop going 55 miles per hour. Ten seconds later, the
Deffense [45]

Answer:

-2.5

Step-by-step explanation:

Acceleration; v1-v0/t

v1=55

vo=35

t=10

25/10=2.5

6 0
3 years ago
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