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PSYCHO15rus [73]
3 years ago
13

Hank estimate the width of the door to his classroom in feet. what is the reasonable estimate

Mathematics
1 answer:
lubasha [3.4K]3 years ago
7 0
A reasonable estimate would be an estimate of 2.5 feet.
 
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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
A recipe calls for 2 cups of flour of flour to make 3 dozen cookies. Is 3 cups of flour enough to make 60 cookies?
Alex787 [66]

Answer:

no it is not

Step-by-step explanation:

it would be 54

8 0
3 years ago
Read 2 more answers
What is the rate of change <br> x y<br> -2 -6<br> -1 -3<br> 0 0
Natalka [10]
So you subtract their integers by starting from the bottom then coming up to the top. And you just put the numbers in your calculator. Once you’ve got your answer for X and Y, you multiply them both. Which will give you -9/3. Next you divide -9 by 3 and 3 divided by 3. Which will give you -3/1 and just rewrite it as -3. I don’t know if this helps but I hope it does :).
5 0
3 years ago
Triangle HAM is translated using the rule (x,y)→(x+6, y) to create triangle H'A'M'.
Andrej [43]

The statement would best describe the line segments drawn would be they are parallel and congruent. The correct answer between all the choices given is the second choice or letter B. I am hoping that this answer has satisfied your query about and it will be able to help you.

4 0
3 years ago
Read 2 more answers
Solve (x + 3)(x - x = 0. (2 points) x = 3, x = -8 O x = -3, x = 8 x = 3, x = 8 O x = -3, X = -8​
astraxan [27]

answer:

the answer is -3 and 8

Step-by-step explanation:

we will place -3 in the equation

(x+3)(x-x)=0

(-3+3)=0 (because -3+3 will cut down together)

we will place two 8(eights) in the equation

(8-8)=0

final answer is

(0)(0)=0

so -3 and 8 fits well in the equation

3 0
3 years ago
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