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madreJ [45]
4 years ago
12

WILL GIVE BRAINLYLIST IF AWNSERD IN LESS THAN 5 MIN The map shows the location of four places in a city:

Mathematics
1 answer:
Kamila [148]4 years ago
4 0

Answer:

The correct answer is (-2,-5).

Step-by-step explanation:

Ordered pairs in the first quadrant: x>0 and y>0.

Ordered pairs in the second quadrant: x<0 and y>0.

Ordered pairs in the third quadrant: x<0 and y<0.

Ordered pairs in the fourth quadrant: x>0 and y<0.

If City Park is shown on (-3,-4), then in the third quadrant.

Jade's house is in the same quadrant as the city park. Which of the following could be the coordinates of Jade's house?

(2, 5)

(−2, 5)

(2, −5)

(−2, −5)

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Convert the Cartesian equation x^2 + y^2 = 16 to a polar equation.
RideAnS [48]

Answer:

Problem 1: r=4

Problem 2: r=-2\sin(\theta)

Problem 3: r\sin(\theta)=3

Step-by-step explanation:

Problem 1:

So we are going to use the following to help us:

x=r \cos(\theta)

y=r \sin(\theta)

\frac{y}{x}=\tan(\theta)

So if we make those substitution into the first equation we get:

x^2+y^2=16

(r\cos(\theta))^2+r\sin(\theta))^2=16

r^2\cos^2(\theta)+r^2\sin^2(\theta)=16

Factor the r^2 out:

r^2(\cos^2(\theta)+\sin^2(\theta))=16

The following is a Pythagorean Identity: \cos^2(\theta)+\sin^2(\theta)=1.

We will apply this identity now:

r^2=16

This implies:

r=4 \text{ or } r=-4

We don't need both because both of include points with radius 4.

Problem 2:

x^2+y^2+2y=0

(r\cos(\theta))^2+(r\sin(\theta))^2+2(r\sin(\theta))=0

r^2\cos^2(\theta)+r^2\sin^2(\theta)+2r\sin(theta)=0

Factoring out r^2 from first two terms:

r^2(\cos^2(\theta)+\sin^2(\theta))+2r\sin(\theta)=0

Apply the Pythagorean Identity I mentioned above from problem 1:

r^2(1)+2r\sin(\theta)=0

r^2+2r\sin(\theta)=0

or if we factor out r:

r(r+2\sin(\theta))=0

r=0 \text{ or } r=-2\sin(\theta)

r=0 is actually included in the other equation since when theta=0, r=0.

Problem 3:

y=3

r\sin(\theta)=3

8 0
4 years ago
A cookie recipe calls for 1/3 of a cup of sugar and 1 1/2 cups of flour. What is the unit rate of flour to sugar for the cookie
Serggg [28]

Answer:

Rate = 4.5

Step-by-step explanation:

It is given that,

A cookie recipe calls for 1/3 of a cup of sugar and 1 1/2 cups of flour.

We need to find the unit rate of flour to sugar for the cookie recipe. It can be calculated as follows :

U=\dfrac{\text{No of cups of flour}}{\text{No of cups of sugar}}\\\\=\dfrac{1\dfrac{1}{2}}{\dfrac{1}{3}}\\\\=\dfrac{\dfrac{3}{2}}{\dfrac{1}{3}}\\\\=\dfrac{3}{2}\times 3\\\\=4.5

So, the unit rate of flour to sugar for the cookie recipe is 4.5

6 0
3 years ago
Find the length of the segment indicated.
Goryan [66]

Answer:

I think the answer is 12.5

4 0
4 years ago
I need help with 5***.
anygoal [31]

This statement may not be true because if 3 more people voted for pop, then that's 3 less votes for the other choices, and 1 or maybe 2 of those votes may have come from water, meaning pop would then be the most popular.

8 0
4 years ago
Describe and correct the error in the solving equation
tester [92]

Answer:

the error is that you have passed the negative sign alongside with the 0.8 but you have corrected by putting the -0.8 in the parentheses. if you used a computer check your answer something that could have messed up was the negative sign on the right side of the r in the part where It says r=12.6+(-0.8)

8 0
3 years ago
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