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Mila [183]
3 years ago
5

Convert the cartesian equation x2 +y2=16 to a polar equation

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
3 0
X^2+y^2 = 16
can be written as
(x-0)^2+(y-0)^2 = 4^2

We see that the second equation is in the form
(x-h)^2 + (y-k)^2 = r^2

where
(h,k) = (0,0) is the center
r = 4 is the radius

The polar form of the equation is simply r = 4. Why is this? Because the radius is fixed to be 4 no matter what happens with theta. As theta goes from 0 to 360, the points generated all form a circle centered at (0,0) with radius 4. 

Answer: r = 4
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2(x-3)-8< -4 I need a explanation and the answer please.
tresset_1 [31]

Answer:

The solution to the inequality is:

x

The number line solution graph is also attached below.

Step-by-step explanation:

Given the inequality

2(x-3)-8< -4

Add 8 to both sides

2\left(x-3\right)-8+8

2\left(x-3\right)

Divide both sides by 2

\frac{2\left(x-3\right)}{2}

x-3

Add 3 to both sides

x-3+3

x

Thus, the solution to the inequality is:

x

The number line solution graph is also attached below.

6 0
2 years ago
Write an equation to determine Sarah’s age
Ksivusya [100]
The equation would be a-44=64÷4
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5 0
3 years ago
Solve the following proportion for the unknown variable: 15/d = 24/40
Pavel [41]
<span><u><em>Answer:</em></u>
d = 25

<u><em>Explanation:</em></u>
To get the value of d, we will need to isolate the d on one side of the equation.

<u>This can be done as follows:</u>
</span>\frac{15}{d} =  \frac{24}{40}<span>

<u>First, we will do cross multiplication as follows:</u>
40*15 = 24*d
600 = 24d

<u>Then, we will isolate the d as follows:</u>
24d = 600
</span>\frac{24d}{24} =  \frac{600}{24}
<span>
d = 25

Hope this helps :)</span>
4 0
3 years ago
Read 2 more answers
Team A scores 13 more points then team B. The tital of their scores was 47. How many points did each team score?
KATRIN_1 [288]

Answer:

Team B scored 17 points and team A scored 30 points.

Step-by-step explanation:

17 + 13 = 30

30 + 17 = 47

47 total points

4 0
3 years ago
How many groups of 3 can go in to 57
Bad White [126]

Answer:

19

Step-by-step explanation:

If you divide 57 by 3, the answer you will get is 19.  Hope this helped!

4 0
3 years ago
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