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3 years ago

12

Simplify the Expression

1 answer:

nlexa [21]3 years ago

6 0

Answer:

$125a^{3}b^{2}$

Step-by-step explanation:

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

VARVARA [1.3K]

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

3 0

4 years ago

What is the probability of

Mama L [17]

Answer:

50% Red, 50% Black

Hope this helps:)

Step-by-step explanation:

5 0

3 years ago

Equation of the line contains the points (-3,2) and (5,-5)

makkiz [27]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

$(x_ {1}, y_ {1}): (- 3,2)\\(x_ {2}, y_ {2}) :( 5, -5)$

So the slope is:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-5-2} {5 - (- 3)} = \frac {-7} {5 + 3} = - \frac {7} {8}$

Thus, the equation of the line is of the form:

$y = - \frac {7} {8} x + b$

We substitute one of the points and find "b":

$2 = - \frac {7} {8} (- 3) + b\\2 = \frac {21} {8} + b\\b = 2- \frac {21} {8}\\b = \frac {16-21} {8}\\b = - \frac {5} {8}$

Finally, the equation is:

$y = - \frac {7} {8} x- \frac {5} {8}$

Answer:

$y = - \frac {7} {8} x- \frac {5} {8}$

6 0

3 years ago

A bag contains 3 red, 6 blue, 5 purple, and 2 orange marbles. One marble is selected at random. What is the probability that the

mamaluj [8]

Answer:

$P(blue)=37.5\%$

Step-by-step explanation:

-Probability is the likelihood of an event occurring.

-The total number of events is:

$Total=3+6+5+2\\\\=16$

-The total number of blue events is:

$Blue=6$

#Probability of a blue is thus calculated as:

$P(Blue)=\frac{Blue}{Total}\\\\=\frac{6}{16}\\\\=0.375\\\\=37.5\%$

Hence, the probability of choosing a blue marble at random is 37.5%

6 0

3 years ago

Read 2 more answers

Yakvenalex [24]

Answer:-80

Step-by-step explanation:f(x)=2*2+4*-10

8 0

3 years ago