We have the equation

Let's complete the square, to do it let's add and subtract 25 on the right side

Now we can have y in function of x

Now we can already identify the vertex because it's in the vertex form:

Where the vertex is

As we can see, h = 5 and k = -2, then the vertex is

Now we can continue and find the focus, the focus is

We have a = 1/20, therefore

The focus is

And the last one, the directrix, it's

Then

Hence the correct answer is: vertex (5, -2); focus (5, 3); directrix y = -7
Answer:
= n.
Step-by-step explanation:
Given :
, b is any positive number not equal to 1 and n is any number.
To find : Evaluate the expression
.
Formula used :
. = y ∙
(x) and
.
By logarithm rule :
. = y ∙
(x).
Then
= n∙
(b).
By logarithm rule :
(b) = n.
Therefore,
= n.
<u>Part 1)</u> Use the fact that there are 12 inches in a foot
a) How many inches tall is a 7 foot basketball player?
we know that
1 foot=12 inches
so by proportion

therefore
<u>the answer Part 1a) is</u>

Part b) If a yard is a 3 feet long, how many inches are in a yard?
we know that
1 yard=3 feet
1 foot=12 inches
so
Convert 3 feet to inches
by proportion
therefore
<u>the answer Part 1b) is</u>

<u>Part 2) </u>At the farmer's market two pounds of peaches cost $4.20 How much will five pounds cost?
by proportion
therefore
<u>the answer Part 2) is</u>

<u>Part 3) </u>Janice mother gave her a ten dollars bill to buy five pounds each of bananas and apples at the grocery store. When she got there she found that bananas were 80 c per pound and apples were $1.40 per pound.
Did Janice's mother give her enough money? If so, should she receive any change? If not, how much more money does she need?
we know that
<u>Find the cost of the bananas</u>

<u>Find the cost of the apples</u>

Sum the cost of the bananas and the cost of the apples

------> Janice's mother didn't give her enough money
She needs more money
She needs-------> 
therefore
<u>the answer part 3) is</u>
She needs
more
Answer:5
Step-by-step explanation:
Add 4 and 1