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3 years ago

A circle has center (5, –4) and radius 8. Which gives the equation for the circle

Mathematics

1 answer:

andrew-mc [135]3 years ago

5 0

Answer:

(x-5)^2 + (y+4)^2 =64

Step-by-step explanation:

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The function f(x) = –x2 + 20x – 75 models the profit from one customer, in dollars, a shop makes for printing photos, where x is

trasher [3.6K]

The function is graphed as shown below

Part A:

We use the formula $- \frac{b}{2a}$ to find the vertex of the function. A quadratic function of the form of $a x^{2} +bx+c$ and equating this form to the given function $- x^{2} +20x-75$ , we have
$b=20$ and $a=-1$ .

Substituting $a$ and $b$ into the vertex formula, we have
$x=- \frac{20}{2(-1)}=10$ , as shown in the graph

This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos

Part B:

We can find solution to this equation by factorising

$- x^{2} +20x-75=0$
$-( x^{2} -20x+75)=0$
$x^{2} -20x+75=0$
$(x-5)(x-15)=0$
$x=5$ and $x=15$ , as shown in the graph

The two values means that the company makes no profit when they either produce 5 or 15 photos

8 0

4 years ago

An airplane is at an elevation of 4,280 ft. It ascends 600 ft. and later descends 1,500 ft. What is its final elevation?

Iteru [2.4K]

3380 Feet is the final elavation

4 0

3 years ago

Read 2 more answers

Ganezh [65]

Answer:

168 meters squared

Step-by-step explanation:

So we know that Jake walked from b to c and d meaning he didn't go from a to b, but we also know that scarlet walked a to b so to find the length we can subtract scarlet's walk by jake's walk or 38-31 which is 7.

So we know the length of one side is 7 so this means we have side a to b and c to d, but we still need to know b to c. So what we can do is get the length of a b c and d and isolate it so that we only have b to c. To do this we get the length of 7 and double it which is 14 and take it away from the 38m

38-14=24

so now we know that the side is 24 and we can solve for the area

24*7=168

so the answer is 168 meters squared

6 0

3 years ago

600% of what number is 5,580

tiny-mole [99]

Answer:

930

Step-by-step explanation:

600% of x = 5580

6x = 5580

x = 5580/6

x = 930

7 0

3 years ago

Can someone please help me out thankss

Tamiku [17]

Answer:

3x +5x =90 +30

8x =120

x =15

6 0

3 years ago