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2 years ago

Please please i need help i did not understand it

Mathematics

2 answers:

Ymorist [56]2 years ago

5 0

Answer:

Step-by-step explanation:

Given, 

Volume = 5600 sq.ft

Length = 35 ft

Width = 8 ft

Therefore, 

By the problem, 

$height = \frac{volume}{length \times width}$

$= > h = \frac{5600}{35 \times 8} ft$

=> h = 20 ft (Ans)

Keith_Richards [23]2 years ago

4 0

V=l*w*h
5600=35*8h
Multiply 35 times 8, which you’ll get 280
5600=280h
Divide both sides
5600/280=280h/280
20=h
Therefore h=20ft is your answer <3

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1. A

2. D

3. D

Step-by-step explanation:

The standard form of a parabola is

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

Where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.

1. The directrix of a parabola is y=−8 . The focus of the parabola is (−2,−6) .

$k-p=-8$ ...(a)

$(h,k+p)=(-2,-6)$

$k+p=-6$ .... (b)

$h=-2$

On solving (a) and (b), we get k=-7 and p=1.

Put h=-2, k=-7 and p=1 in equation (1).

$y=\frac{1}{4(1)}(x-(-2))^2+(-7)$

$y=\frac{1}{4}(x+2)^2-7$

Therefore option A is correct.

2 The directrix of a parabola is the line y=5 . The focus of the parabola is (2,1) .

$k-p=5$ ...(c)

$(h,k+p)=(2,1)$

$k+p=1$ .... (d)

$h=2$

On solving (c) and (d), we get k=3 and p=-2.

Put h=2, k=3 and p=-2 in equation (1).

$y=\frac{1}{4(-2)}(x-(2))^2+(3)$

$y=-\frac{1}{8}(x-2)^2+3$

Therefore option D is correct.

3. The focus of a parabola is (0,−2) . The directrix of the parabola is the line y=−3 .

$k-p=-3$ ...(e)

$(h,k+p)=(0,-2)$

$k+p=-2$ .... (f)

$h=0$

On solving (e) and (f), we get k=-2.5 and p=0.5.

Put h=0, k=-2.5 and p=0.5 in equation (1).

$y=\frac{1}{4(0.5)}(x-(0))^2+(-2.5)$

$y=\frac{1}{2}(x)^2-2.5$

$y=\frac{1}{2}(x)^2-\frac{5}{2}$

Therefore option D is correct.

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