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nordsb [41]
3 years ago
12

Find the​ vertex, focus, and directrix of the parabola whose equation is given below. y-7=1/8(x-2)^2

Mathematics
1 answer:
VLD [36.1K]3 years ago
7 0

Answer:

Step-by-step explanation:

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Which angle is in standard position? On a coordinate plane, 2 rays form an angle and both rays are not on the y- or x-axis. On a
DerKrebs [107]

Answer:

(C)On a coordinate plane, 2 rays form an angle. One ray sits on the x-axis.

Step-by-step explanation:

In the coordinate plane, an angle is said to be in standard position when its value is stated with respect to the x-axis.

Therefore, for an angle to be in a standard position, one of its rays must be on the x-axis.

From the given options, only Option C has a ray that sits on the x-axis. Therefore, it is the only angle in standard position.

3 0
3 years ago
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If Michelle walked walked 5 meters, how many inches did she walk?
LenaWriter [7]
There are ~39 inch in 1 meter

39 x 5 = 195

Michelle walked ~195 inch.

hope this helps
6 0
4 years ago
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Can you help me!
MariettaO [177]

Hi,

4a - 11 = 2a + 3

4a - 11 + 11 = 2a + 3 + 11

4a = 2a +14

4a - 2a = 2a - 2a + 14

2a = 14

2a / 2 = 14 / 2

a = 7

3z + 12 = 15

3z + 12 - 12 = 15 - 12

3z = 3

3z / 3 = 3 / 3

z = 1

2 - 6b = 20

2 - 2 - 6b = 20 - 2

- 6b = 18

6b = - 18

6b / 6 = -18 / 6

b = -3

3y - 5 = 27 - y

3y - 5 + 5 = 27 - y + 5

3y = - y +32

3y + y = - y + y +32

4y = 32

4y / 4 = 32 / 4

y = 8

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8 0
3 years ago
A store sells black ink pens for $5 and red ink pens for $4. John wishes to buy 20 pens but doesn’t wish to spend more than $92.
Zina [86]

Answer:  4r + 5(20-r) \le 92

=======================================

Explanation:

r = number of red pens

4r = cost of buying r red pens

example: if r = 10, then 4r = 4*10 = 40 is the total cost of buying 10 red pens

If John buys r red pens, then he must buy 20-r black pens so that r and 20-r add to 20.

John buys 20-r black pens, and at $5 each, so it will cost 5(20-r) dollars for just the black pens alone.

In total, John spends 4r + 5(20-r) dollars for all the pens (red & black)

We want $92 be the most he spends. This is the ceiling or highest value possible.

Therefore,

4r + 5(20-r) \le 92

--------------------

Extra info:

If you want to solve for r, then

4r + 5(20-r) \le 92

4r + 5(20)+5(-r) \le 92 distribute

4r + 100 - 5r \le 92  

100 - r \le 92

100-r+r \le 92+r add r to both sides

100 \le 92+r

100-92 \le 92+r-92 subtract 92 from both sides

8 \le r

r \ge 8

So John must buy at least 8 red pens. The most he can buy is 20 red pens since he wants 20 pens total.

8 0
3 years ago
Jessica has 24 marbles and Jenny has 33 how many more marbles does jessica have than Jenny
Len [333]
Jessica has 9 more marbles than Jenny.
7 0
3 years ago
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