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makkiz [27]
3 years ago
13

The radius of the circle whose equation is (x-3)^2 + (y+1)^2 = 16 is

Mathematics
1 answer:
Firdavs [7]3 years ago
4 0

Answer:

4

Step-by-step explanation:

The general equation of a circle with center (a, b) and radius r is given by the equation;

(x-a)^{2}+(y-b)^{2}=r^{2}

The constant in the right hand side of the equation is simply the square of the radius;

We have been given the following equation;

(x-3)^2 + (y+1)^2 = 16

Comparing this with the general equation above;

r^{2}=16\\\\r=\sqrt{16}=4

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Is the triangle an acute, isosceles, obtuse, or right?
Trava [24]

Step-by-step explanation:

k =70 because all triangles angles add up to 180° and it's an acute angle cause all the angles are lower than 90° hope this helps

5 0
3 years ago
Brett paid $229 for 8 tickets to a baseball game, which includes the $13 service fee applied to every order. How much will Brett
nataly862011 [7]

Answer:

$418

Step-by-step explanation:

So first we need to find how much a single ticket will cost.

Subtract the service fee to get how much it cost for 8 tickets.

229-13=216

Then divide that number by 8 to find how much a single ticket costs.

216÷8=27

1 ticket costs $27.

Multiply that by 15 to get how much 15 tickets cost.

27×15=405

Then add back the service fee.

405+13=418

5 0
2 years ago
Read 2 more answers
Help me with this please
IrinaVladis [17]

Answer:

x = 138

Step-by-step explanation:

Exterior angle thm:

68 + 70 = x

x = 138

8 0
3 years ago
Find the standard form of the equation of the parabola with a focus at (-2, 0) and a directrix at x = 2.
Leokris [45]
Standard form is, hold a sec

x=2 is directix
that means it opens left or right
so we must use
(y-k)²=4p(x-h)
where vertex is (h,k) and p is distance from focus to vertex
also shortest distance from vertex to directix
the shortest distance from focus to directix is 2p
if p>0 then the parabola opens right
if p<0 then pareabola opens left

so
(-2,0) and x=2
the distance is 4
4/2=2
p=2
wait, positive or negative
focus is to the left of the directix so p is negative
p=-2

vertex is 2 to the right of the focus and 2 to the left of directix
vertex is (0,0)

so
(y-0)²=4(-2)(x-0) or
y²=-8x is da equation
not sure what form is standard tho
4 0
3 years ago
The manager of a 100-unit apartment complex knows from experience that all units will be occupied if the rent is $800 per month.
Ede4ka [16]
800 * 100 = 80000
810 * 99 = 80190
900 * 90 = 81000
1000 * 80 = 80000
(800 + 10n) (100-1n)
=(800 +10(11)) (100 - 11)<span> (910)(89) = 80990</span>
6 0
3 years ago
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