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Annette [7]
2 years ago
11

the diagonals of a quadrilateral is 20 m in length and the perpendiculars to it from the opposite vertices are 8.5 m and 11m . F

ind the area of the quadrilateral
Mathematics
1 answer:
Deffense [45]2 years ago
4 0

Answer:

195

Step-by-step explanation:

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What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? PLs HELP!!
Delicious77 [7]
ANSWER
f(x)= \frac{1}{4} {(x - 1)}^{2}

EXPLANATION

Since the directrix is
y = - 1

the axis of symmetry of the parabola is parallel to the y-axis.

Again, the focus being,

(1,1)

also means that the parabola will open upwards.

The equation of parabola with such properties is given by,

{(x - h)}^{2} = 4p(y - k)
where
(h,k)

is the vertex of the parabola.

The directrix and the axis of symmetry of the parabola will intersect at
(1, - 1)

The vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix.

This implies that,
h = \frac{1 + 1}{2} = 1

and
k = \frac{ - 1 + 1}{2} = 0

The equation of the parabola now becomes,

(x - 1) ^{2} = 4p(y - 0)

|p| = 1

Thus, the distance between the vertex and the directrix.

This means that,

p = - 1 \: or \: 1

Since the parabola opens up, we choose
p = 1
Our equation now becomes,

{(x - 1)}^{2} = 4(1)(y - 0)

This simplifies to
{(x - 1)}^{2} = 4y

or

y = \frac{1}{4} {(x - 1)}^{2}

This is the same as,

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

The correct answer is D .
4 0
3 years ago
I’ll mark you brainliest if you answer
ra1l [238]

Answer:

A=Pier^2

a=pie2.5^2

a=19.63

A=Pier^2

a=pie2^2

a=12.57

19.63 - 12.57

=7.07

B

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2 years ago
What are the x- and y coordinates of point P on the directed
Alex17521 [72]

Answer:

(-4, -5)

Step-by-step explanation:

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3 years ago
1. To the nearest ten and the nearest hundred, a store sold about 300 puzzles.
BartSMP [9]

Answer:

B. 279

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Will give you Brainliest
lora16 [44]

I don't understand it. Explain more.

7 0
3 years ago
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