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olga_2 [115]
3 years ago
9

What is the equation of the directrix of the parabola given by the equation (y − 3)2 = 8(x − 5)?

Mathematics
1 answer:
Licemer1 [7]3 years ago
8 0
The vertex of the parabola is at (5,3) and its focal length is 8/4 = 2.
Since it opens to the right, the directrix will be a vertical line 2 units to the left of the vertex, so its equation will be x=(5-2), or x=3
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A retail clothing store offers customers an opportunity to open up a credit card during checkout. One location of the retail clo
svetoff [14.1K]

A function assigns the value of each element of one set to the other specific element of another set. The total amount of credit cards opened at the two locations is given as 45+3t.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given that the number of credit cards, A, that is opened t months since January can be modeled by the function A(t) = 20 + 4t, while the number of credit cards opened at another location, B, is defined by the function B(t)=25−t.

Now, the total number of credit cards that are opened at both the location together will be,

Total number of credit cards = A(t) + B(t)

                                                = 20 + 4t + 25 - t

                                                = 20 + 25 + 4t - t

                                                = 45 + 3t

Hence, the total amount of credit cards opened at the two locations is given as 45+3t.

Learn more about Function here:

brainly.com/question/5245372

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3 0
2 years ago
What is the Greatest common factor for -8X²+ 24​
monitta

Answer:

8

Step-by-step explanation:

- 8 {x}^{2}  + 24 \\  = 8( -  {x}^{2}  + 3) \\

5 0
3 years ago
Read 2 more answers
Can someone help me with the areas?
9966 [12]

Answer:

for 1. it is 99 and for 3. it is 343.75

Step-by-step explanation:

for 1. you have to just multiply the length with width

for 3. you have to add both bases (35+20) and multiply the height (55 x 12.5) to it and then divide it by 2 (687.5 / 2)

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2 years ago
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Misha Larkins [42]

Answer:

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Step-by-step explanation:

If we plug in x=10 to the equation, we get y=47

Since y is positive, A is not an counterexample

Since y is a function of x, C is not an counterexample

Since the graph of y is a parabola, D is not an counterexample

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6 0
3 years ago
What is the distance between the points (−7, 7) and (−7, 8) ?
Vesnalui [34]

Answer:1

Step-by-step explanation:

5 0
4 years ago
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