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ki77a [65]
3 years ago
8

Which equation represents a parabola with the focus at (0, -1) and

Mathematics
1 answer:
kow [346]3 years ago
5 0

Answer:

Step-by-step explanation:

The vertex is halfway between focus and directrix, at (0,0).

The equation has the form y = ax².

Focal length p = distance between focus and vertex = 1

p = 1/|4a|

1 = 1/|4a|

|a| = ¼

The focus lies below the vertex, so the parabola opens downwards and a<0.

y = -¼x²

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Samuel's sister is 39. She is 6 years older than Samuel's age tripled. How old is Samuel?​
Thepotemich [5.8K]

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Read 2 more answers
System A
Sonbull [250]

1.  System B from System A by replacing one equation with itself where the same quantity is added to both sides

2. Yes, both system A and system B are equivalent and therefore has the same solution

<h3>How to prove the statements</h3>

System A

x − 4y= 1

5x + 6y= −5

System B

x = 1+4y

5x + 6y= −5

1. System B can be gotten from system A by

from the first equation of A

x − 4y= 1

Make 'x' subject of formula

x = 1 + 4y

This makes it equal to tat of system B

Thus, replacing one equation with itself where the same quantity is added to both sides

2. System A

x = 1 + 4y

5x + 6y= −5

System B

x = 1 + 4y

5x + 6y= −5

From the above equations, we can see that both system A and system B are equivalent and therefore has the same solution.

Learn more about linear equations here:

brainly.com/question/4074386

#SPJ1

4 0
2 years ago
Find the 4th term in the sequence of a(n)=-6-4(n-1)
marishachu [46]

Answer:

a(4) = -18

Step-by-step explanation:

The fourth term in the sequence is when n = 4. Substitute n = 4 into the rule a(n)=-6-4(n-1).

a(4) = -6 - 4(4-1)

a(4) = -6 - 4(3)

a(4) = -6 - 12

a(4) = -18

3 0
3 years ago
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