All categories

2 years ago

Find a Cartesian equation for the curve.

Mathematics

1 answer:

Galina-37 [17]2 years ago

6 0

$r = 3sec( \alpha ) \\ r = \frac{3}{cos( \alpha )}$

$x = rcos( \alpha ) \: \: \: \: \: \: \: cos( \alpha ) = \frac{x}{r}$

$r = \frac{3}{ \frac{x}{r} } \\ r = \frac{3r}{x} \: \: \: \: \: \: x = 3 \\ line$

You might be interested in

In the formula C = 2 r, C stands for

saveliy_v [14]

Answer:

Circumference

Step-by-step explanation:

4 0

3 years ago

The sum of four times a number and 18 is the same as the difference of fourteen and twice a number

Citrus2011 [14]

$4x+18=14-2x \\ 4x=-4-2x \\ 6x=-4 \\ x= \frac{2}{3}$

4 0

3 years ago

Kelsey is going to graph the ordered pairs that are represented by this table on a coordinate plane

gayaneshka [121]

Answer:

Step-by-step explanation:

Since there are 4 columns of x and y values the answer is 4.

3 0

3 years ago

9(5x + 1) ÷ 3y

Ivan

Some definitions:

Sum - the result of adding values together

Term - a single number or variable (includes variables multiplied by numbers)

Factor - a number or variable that divides another number or expression evenly

Quotient - the result of dividing values by one another

Coefficient - a numerical or constant value often in front of a variable

In your equation:

Sum - (5x + 1)

5x and 1 are being added together, although we do not know the sum exactly, we know that the sum is equal to the value of 5 times x plus 1.

Term - (5x, 1, 3y)

All terms given above are applicable.

Factor - (9)

9 has been taken out of the expression that it is now being multiplied, which shows that it was factored out of that expression

Quotient - (9(5x + 1) / 3y)

The value of 9(5x + 1) is being divided by 3y. Though we do not know the quotient exactly, we know that the quotient is equal to the values given.

Coefficient - (5, 3)

Both 5 and 3 are numbers in front of variables.

Hope this helps!! :)

3 0

3 years ago

A math teacher keeps her wall-sized graph paper in a box shaped like a triangular prism. The triangular face of the prism has a

yaroslaw [1]

(24 × 17 × 130\2)

24 × 17 = 408 x 130 = 53,040 / 2 = 26,520
So the volume of this box is

C= 26,520 cm^3

6 0

2 years ago