1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
anygoal [31]
2 years ago
7

Find the center and radius of the circle represented by the equation below.

Mathematics
1 answer:
pantera1 [17]2 years ago
8 0

Answer:

Center= (-6,-8)

Radius= 6

Step-by-step explanation:

We use the formula (x-h)^2+(y-k)^2 then plug in our numbers:

(x - h)^2 + (y - k)^2 = r^2\\(x+6)^2 +(y-k)^2=36

In the equation -h is 6 so our h (x-coordinate) is -6

In the equation -k is 8 so our k (y-coordinate) is -8

In the equation r^2 is 36 so we take the square root of 36 to get r which is 6.

You might be interested in
The temperature of the pool water started at 82 degrees, and it is cooling down 0.4 degrees each hour. If the water temperature
Sidana [21]

Answer:

We have the same homework!!!!

hours that passed= 10

Step-by-step explanation:

(1st step)We start with the expression:

(1st)82-0.4x=78

"STARTED at 82 degrees" 82

"Cooling DOWN 0.4 degrees" -0.4

"EACH hour" x

"NOW 78 degrees" =78

(2nd step) We want to get the variable x alone, so we have to do the opposite sign they have, to cancel the number out for it to be 0.

(1st) 82 -0.4x =78

(2nd) -82 ÷-0.4 =78

(3rd)Now, you work out the problem (transfer the numbers from the left to the right). First, you have to do the subtraction sign, not sure why.

(1st) 82 -0.4x =78

(2nd) -82 ÷-0.4 =78

(3rd) 78 -82= -4

-4÷-0.4= 10

X= 10

there you have it!

To make sure this is correct, you do the following.

82 -0.4 x 10

Solve using PEMDAS

-0.4 x 10 = -4

its time to add 82.

82 - 4 = 78

78 is the exact temperature that was said in the problem

3 0
2 years ago
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP
Nataliya [291]

Answer:

please help me my friend

5 0
2 years ago
A rectangle has a height 3z and a width of 2x-3<br><br> Express the area of the entire rectangle.
viktelen [127]

Answer:

3z(2x - 3)

Step-by-step explanation:

Area of a rectangle, a = height * width

height, h = 3z

width, w = 2x - 3

a = 3z * (2x -3)

expand

a = 6xz - 9z

a = 3z(2x - 3)

5 0
3 years ago
A travel agent currently has 80 people signed up for a tour. The price of a ticket is $5000 per person. The agency has chartered
Nikolay [14]
So hmm let's take a peek at the cost first

so, they chartered the plane for 150 folks with a fixed cost of 250,000
now, incidental fees are 300 per person, if we use the quantity "x", for how many folks, then if "x" persons are booked, then incidental fees are 300x

so, more than likely an insurance agency is charging them 300x for coverage

anyway, thus the cost C(x) = 250,000 + 300x

now, the Revenue R(x), is simple is jut price * quantity

well, the price, thus far we know is 5000 for 80 folks, but it can be lowered by 30 to get one more person, thus increasing profits

so... let's see what the price say y(x) is  \bf \begin{array}{ccllll}&#10;quantity(x)&price(y)\\&#10;-----&-----\\&#10;80&5000\\&#10;81&4970\\&#10;82&4940\\&#10;83&4910&#10;\end{array}\\\\&#10;-----------------------------\\\\

\bf \begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%   (a,b)&#10;&({{ 80}}\quad ,&{{ 5000}})\quad &#10;%   (c,d)&#10;&({{ 83}}\quad ,&{{ 4910}})&#10;\end{array}&#10;\\\quad \\\\&#10;% slope  = m&#10;slope = {{ m}}= \cfrac{rise}{run} \implies &#10;\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-90}{3}\implies -30&#10;\\ \quad \\\\&#10;% point-slope intercept&#10;y-{{ 5000}}={{ -30}}(x-{{ 80}})\implies y=-30x+2400+5000\\&#10;\left.\qquad   \right. \uparrow\\&#10;\textit{point-slope form}&#10;\\\\\\&#10;y=-30x+7400

so.. now we know y(x) = -30x+7400

now, Revenue is just price * quantity
the price y(x) is -30x+7400, the quantity is "x"

that simply means R(x) = -30x²+7400x


now, for the profit P(x)

the profit is simple, that is just incoming revenue minus costs, whatever is left, is profit
so P(x) = R(x) - C(x)

P(x) = (7400x - 30x²) - (250,000+300x)

P(x) = -30x² + 7100x - 250,000

now, where does it get maximized? namely, where's the maximum for P(x)?

well \bf \cfrac{dp}{dx}=-60x+7100

and as you can see, if you zero out the derivative, there's only 1 critical point, run a first-derivative test on it, to see if its a maximum
7 0
3 years ago
What is 485 times 34
Svet_ta [14]
The answer is sixteen thousand four hundred ninety
4 0
3 years ago
Read 2 more answers
Other questions:
  • Please help need answer quick
    15·2 answers
  • 4.7% of the 6540000 indiana residents were listen foreign born in 2012, how many people in indiana were foreign born?
    6·2 answers
  • Complete pattern with 3400000
    5·2 answers
  • -9+100 divided by 4•3
    13·1 answer
  • Help me asap!!!!!!! please!!!
    6·1 answer
  • Can someone help me answer these?
    14·1 answer
  • How do I factor 25n^2 - 16?
    7·1 answer
  • Crash testing is a highly expensive procedure to evaluate the ability of an automobile to withstand a serious accident. A simple
    11·1 answer
  • &lt;br /&gt;
    5·1 answer
  • PLEASE PLEASE HELP IM BEGGING
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!