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TEA [102]
3 years ago
15

Find the focus of the parabola whose vertex is at the origin and whose directrix is x = 3.

Mathematics
1 answer:
defon3 years ago
6 0

Answer:

Step-by-step explanation:

Vertex is halfway between focus and directrix, so focus is (-3,0).

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Kevin wants to buy an area rug for his living room. He would like the area rug to be no smaller that 48 square feet and no bigge
mariarad [96]

Answer:

8-10 feet

Step-by-step explanation:

If the length of the carpet is two more than the width, the width can be expressed as x and the length can be expressed as x+2. This means that the area(x^2+2x) must be greater than 48 but no less than 80.

Now we can solve for both the maximum and minimum cases:

x^2+2x=48, x^2+2x-48=0, now we can factor, (x+8)(x-6)=0, and now we can use the Zero Product Property to find x=-8;x=6. Since we cant have negative width, x at least has to be equal to 6.

x^2+2x=80,x^2+2x-80=0, now we can factor, (x+10)(x-8), and now using the Zero Product Property to find x=-10;x=8, and since it must be positive, at most x can equal 8.

Now since the length is two more than the width, x, you add two to both of these values and get a range of 8-10 feet.

3 0
3 years ago
Work out<br> 5^-2 x 3 sq root 8<br> Give your answer as a decimal.
Naddik [55]

quanti of decimal is math

3 0
3 years ago
Which value of x makes 7+5(×-3)=22
Arlecino [84]

Answer:

x=6

Step-by-step explanation:

7+5(×-3)=22

expand the brackets:

7 + 5x - 15 = 22

simplify:

5x - 8 = 22

add 8 to both sides:

5x = 30

divide both sides by 5

x = 6

hope this helps

brainliest plz?

x

8 0
3 years ago
Read 2 more answers
UPDATE: NEED HELP! DUE TONIGHT! THANK YOU!
Arte-miy333 [17]

Answer:

Step-by-step explanation:

Ok so I think this is what you are looking for

y ≈ -6x + 30for the first one and

y ≈ -6x + -22

If this is not what you're looking for I'm sorry.

I try my best.

4 0
3 years ago
If you choose two blocks at the same time, what is the probability that both blocks will
Murljashka [212]

Step-by-step explanation:

Numer of events divided by total number of events.

number of events = two ( since T is only 2)

total number of events = 12 ( count all of them)

so the probability is = 2/12 which is = 1/6.

Hope this helps.

Good luck ✅.

6 0
2 years ago
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