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svet-max [94.6K]
3 years ago
15

Graph the circle: x2 + y2 + 10x +6y +18 = 0

Mathematics
1 answer:
Karolina [17]3 years ago
4 0

Answer:

Circle with centre, (-5, -3) and radius 4

Step-by-step explanation:

(x+5)^2-25+(y+3)^2-9+18 = 0\\(x+5)^2 + (y+3)^2 = 16

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In a four year period, about 80,000 acres of coastal wetlands in the United States are lost each year. What integer represents t
klemol [59]

Answer:

-320000

Step-by-step explanation:

Given

Lost Land = 80,000 acres yearly

Duration 4 years

Required

The total change

Represent the total change with y;

y is calculated as thus;

y = Lost\ Land * Duration

y = -80,000 acres * 4

y = -320000\ acres

<em>Hence, a total of 320000 acres were lost during the period</em>

7 0
3 years ago
How would I solve this?
lutik1710 [3]

Answer:

It is rotated by 72 degrees.

Step-by-step explanation:

  • Since it is a regular polygon,

        when u connect all the corners of it to the middle of the polygon, they       will meet at a point i.e, CENTER.

  • The sum of the angles subtended by all the sided at the center will be 360 degrees.
  • As there are 60 sides, the angle subtended by each side at the center will be 6 degrees.

Because,

\frac{360}{60} = 6

  • As the polygon rotates every minute and it is rotated for 12 minutes,

12*6 = 72

( For every minute, it will be rotated by 6 degrees.

so, for 12 minutes it should be rotated by 12 times 6 ( 12*6) = 72 degrees)

  • So, after 12 minutes it will be rotated by 72 degrees.
5 0
3 years ago
What is the answer to 16x+9=9y−2x for y.
dezoksy [38]

I got 18x+9=y
         --------- (divide)
            9
if you want I can show you how I got that and if its wrong im sorry but that's the best simplified answer I got for y.
7 0
3 years ago
Read 2 more answers
A half-filled cylindrical water tank has a water level of 20 feet high. The tank can hold 6000 cubic feet of water. Find the dia
OleMash [197]

Answer:

Diameter of tank = 19.5 ft

Step-by-step explanation:

Volume of cylinder = Base area x Height.

Base area = Area of circle

\texttt{ Area of circle}=\frac{\pi d^2}{4}

Height = 20 ft.

Volume of tank = 6000 cubic feet .

\texttt{ Volume of cylinder = Base area x Height.}\\\\6000=\frac{\pi d^2}{4}\times 20\\\\d^2=381.97\\\\d=19.5ft

Diameter of tank = 19.5 ft

4 0
3 years ago
Please give me the correct answer ​
Ganezh [65]

Answer:

PQ = 5 units

QR = 8 units

Step-by-step explanation:

Given

P(-3, 3)

Q(2, 3)

R(2, -5)

To determine

The length of the segment PQ

The length of the segment QR

Determining the length of the segment PQ

From the figure, it is clear that P(-3, 3) and Q(2, 3) lies on a horizontal line. So, all we need is to count the horizontal units between them to determine the length of the segments P and Q.

so

P(-3, 3), Q(2, 3)

PQ = 2 - (-3)

PQ = 2+3

PQ = 5 units

Therefore, the length of the segment PQ = 5 units

Determining the length of the segment QR

Q(2, 3), R(2, -5)

(x₁, y₁) = (2, 3)

(x₂, y₂) = (2, -5)

The length between the segment QR is:

l=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

  =\sqrt{\left(2-2\right)^2+\left(-5-3\right)^2}

  =\sqrt{0+8^2}

  =\sqrt{8^2}

Apply radical rule: \sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0

  =8

Therefore, the length between the segment QR is: 8 units

Summary:

PQ = 5 units

QR = 8 units

8 0
2 years ago
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