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3 years ago

Find the Coordinates of the center and the measure of the radius.

Mathematics

1 answer:

iris [78.8K]3 years ago

3 0

Circles have the equation (x-h)²+(y-k)²=r² with the center at (h,k) and radius r
so if you bring the equation into this form you can read everything off

x²+y²-4=0
x²+y²=4
(x-0)²+(y-0)²=2²

so the radius r=2
h=0,k=0 which means the center is at (0,0)

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The area of this rectangle is given by the quadratic function

Sonja [21]

<em>The function uses W as the variable but the options show only x's as the variable, so I'm asumming W in the answer</em>

Answer:

0 < W < 50

Correct option: A

Step-by-step explanation:

<u>Domain of functions</u>

Some functions have restricted values of the independent variable x. It can be due to mathematical restrictions, like dividing by 0 or taking the square root of a negative number, of it can be due to practical conditions of the situation being modeled.

In this case, the area of a rectangle is given by the quadratic function.

$A=50W - W^2$

Since the area of a rectangle cannot be negative (and should be positive, though it could be zero), the practical domain of A is determined when

$50W - W^2\geq 0$

Taking common factor W

$W(50 - W)\geq 0$

Since W must be positive W>0

$50 - W\geq 0$

Or equivalently

$50 \geq W$

$W \leq 50$

The total interval is

$0 < W$

Correct option: A

Please note: The real restriction should be

$0 < W\leq 50$

if we allowed the area to be positive, but I'm providing the most possible correct available option

6 0

3 years ago

5 fractions that are near but not equivalent to 2/3

Montano1993 [528]

Five fractions that are near to the fraction two-thirds but not equivalent or 1/2 1/4 3/6 5/9 15/21.

Hope this helps!!!!

5 0

3 years ago

Please help due in 5 minutes !

amm1812

The answer would be:

X = -1

8 0

3 years ago

Read 2 more answers

Bob and James are finishing the roof of a house. Working alone, Bob can shingle the roof in 14 hours. James can shingle the same

Snowcat [4.5K]

we know that Bob can do the whole job in 14 hours, how much of the work has he done in 1 hour only? well since he can do the whole lot in 14 hours in 1 hour he has only done 1/14 th of the job.

we know that James can do it in 18 hours, a bit slower, so in 1 hour he has done only 1/18 th of the job.

let's say it takes both of them working together say "t" hours, so in 1 hour Bob has done (1/14) of the work whilst James has done (1/18) of the work, the whole work being t/t or 1 whole, so for just one hour that'd 1/t done by both Bob and James.

$\bf \stackrel{Bob}{\cfrac{1}{14}}~~+~~\stackrel{James}{\cfrac{1}{18}}~~=~~\stackrel{total~for~1~hour}{\cfrac{1}{t}} \\\\\\ \stackrel{\textit{using an LCD of 126}}{\cfrac{9+7}{126}=\cfrac{1}{t}}\implies \cfrac{16}{126}=\cfrac{1}{t}\implies 16t=126\implies t=\cfrac{126}{16} \\\\\\ \stackrel{\textit{7 hrs, 52 minutes and 30 seconds}}{t=\cfrac{63}{8}\implies t=7\frac{7}{8}}\implies \stackrel{\textit{rounded up}}{t=7.88}$

7 0

3 years ago

I need help with this question! thank u :)

cestrela7 [59]

Presumably d meanst distance and t means time.

When t = 1, d = 2.5
When t = 3, d = 4

d = mt + b
2.5 = m + b [t = 1]
4.0 = 3m + b [t = 2]
1.5 = 2m [subtract]
m = .75 = slope
b = 1.75 = d-intercept
d = .75t + 1.75
d = 15/4 + 7/4 [t = 5]
d = 22/4 = 5.5 m from sensor

6 0

3 years ago