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Marina86 [1]
3 years ago
7

What is the lcm next f 3,8

Mathematics
1 answer:
jarptica [38.1K]3 years ago
7 0

Answer:

24

Step-by-step explanation:

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A N S W E R Q U I C K P L E A S E
chubhunter [2.5K]

Answer:

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.

5 0
3 years ago
4 quarts equals how many cups?
boyakko [2]
4 cups equals to 16 cups becuase 1 quart equals 4 cups
3 0
3 years ago
What is the solution to the linear equation? = -12 + 3b - 1 =-5 - b​
zalisa [80]

Answer:

b =  2

Step-by-step explanation:

hope it works

4 0
3 years ago
Read 2 more answers
please help!!! ive been trying this question for the pass 20 minutes and cant seem to understand it!!
Lesechka [4]

Answer:

D

Step-by-step explanation:

Beacuse ‍♀️

5 0
3 years ago
Read 2 more answers
the volume of a pyramid whose base is aright triangle is 234 units. If the two legs of the right triangle measures 9 units and 1
Kobotan [32]

If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.

<h3>How to calculate the volume of a pyramid.</h3>

Mathematically, the volume of a pyramid is given by the formula:

Volume = \frac{1}{3} \times base\;area \times height

<u>For the </u><u>base area</u><u>:</u>

The area of a right triangle is given by:

A=\frac{ab}{2} \\\\A=\frac{9 \times 12}{2} \\\\A=\frac{108}{2}

A = 54 square units.

<u>Given the following data:</u>

Volume of a pyramid = 234 units.

Side lengths of right triangle = 9 and 12 units.

Now, we can calculate the height of the pyramid:

234 = \frac{1}{3} \times 54 \times height\\\\234=18h\\\\h=\frac{234}{18}

h = 13 units.

Read more on pyramid here: brainly.com/question/16315790

7 0
2 years ago
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