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gtnhenbr [62]
2 years ago
13

Which equation represents the rectangular form of r= 8?

Mathematics
2 answers:
fiasKO [112]2 years ago
8 0

\underline{r^2=x^2+y^2} \\\\\\ x^2+y^2=64\implies r^2=64\implies r=\sqrt{64}\implies r=8

docker41 [41]2 years ago
3 0

Answer:

B

Step-by-step explanation:

put both sides under square root.

x^2 + y^2 = 64

sqrt ( x^2 + y^2 ) = sqrt(64)

x + y = 8

r = 8.

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Point J is located at (2,5)(2,5) and point K is located at (4,19)(4,19).
Anni [7]
We have the coordinates
J (2,5)
K (4,19)

Since we are to find the point that partitions the line segment into 3:2 ratio, we have 5 equal parts of the line segment. So,

Get the horizontal distance:
4 - 2 = 2
Divide by 5
2/5
Multiply by 3
2/5 x 3 = 1.2
Add this to the x coordinate of J
2 + 1.2 = 2.2

Get the vertical distance:
19 - 5 = 14
Divide by 5
14/5
Multiply by 3
14/5 x 3 = 8.4
Add this to the y coordinate of J
5 + 8.4 = 13.4

The coordinates of the point is
(2.2,13.4)
5 0
3 years ago
What is the image of the point (-1,-2)after a rotation of 180∘
igor_vitrenko [27]

Answer:

The image of the point is (1, 2)

Step-by-step explanation:

  • If the point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)
  • If the point (x, y) rotated about the origin by angle 180° counterclockwise, then its image is (-x, -y)
  • If the point (x, y) rotated about the origin by angle 270° counterclockwise, then its image is (y, -x)

Let us use the rules above to solve the question

∵ The point (-1, -2) is rotated 180° counterclockwise about the origin

→ By using the 2nd rule above change the signs of x and y coordinates

∴ Its image is (1, 2)

∴ The image of the point is (1, 2)

4 0
3 years ago
Read 2 more answers
Jerome works as a waiter. He earns $80 each weekend plus 15% in tips on meals served. Jerome served $725 worth of meals last wee
gulaghasi [49]

Answer:

well you would need to look at how much he gets a weekend, and then worry anout the tips.

Step-by-step explanation:

He gets paid $80 each weekend, and a 15% with tips.

you would need to figure out the tips, by taking the $725 and timesing it by .15 for the percent.

which would be 108.75

you would now take 108.75 and add 80 to get what he made that weekend.

108.75+80 = 188.75 dollars

5 0
3 years ago
.The sum of the angles of a polygon is 900⁰ .How many sides does it have​
DanielleElmas [232]

Answer:

heptagon

Step-by-step explanation:

5 0
3 years ago
A car travels 45km in an hour. In each of the next two hours, it travels 78km. What is the average speed of the car.
romanna [79]

Answer:

The average speed of car is 67 kilometers per hour.

Step-by-step explanation:

Given that:

Distance travelled in one hour = 45 km

Distance travelled in next 2 hours = 78*2 = 156 km

Total distance = 45+156 = 201

Total time = 1+2 =  3 hours

Average speed of the car = \frac{Total\ distance}{Total\ time}

Average speed of the car = \frac{201}{3}

Average speed of the car = 67 km/hr

Hence,

The average speed of car is 67 kilometers per hour.

7 0
3 years ago
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