Help ASAP. Find the value of x.

Describe the graph represented by the equation r=5/(3+2 sin theta).

Yuki888 [10]

We have the following equation:

$r= \frac{5}{3+2sin(\theta)}$

If we graph this equation we realize that in fact this is an ellipse with major axis matching the y-axis. So we can recognize these characteristics:

1. Center of the ellipse:

The midpoint C of the line segment joining the foci is called the center of the ellipse. So in this exercise this point is as follows:

$C(0, -2)$

2. Length of major axis:

The line through the foci is called the major axis, so in the figure if you go from -5, at the y-coordinate, and walk through this major axis to the coordinate 1, the distance you run is the length of the major axis, that is:

$6 \ units$

3. Length of minor axis:

The line perpendicular to the foci through the center is called the minor axis. So in the figure if you go from -2, at the x-coordinate, and walk through this minor axis to the coordinate 2, the distance you run is the length of the minor axis, that is:

$4 \ units$

4. Foci:

Let's find c as follows:

$c=\sqrt{a^{2}-b^{2}}=\sqrt{3^{2}-2^{2}}=\sqrt{5}$

Then the foci are:

$f_{1}=(0, \sqrt{5}-2)$

$f_{2}=(0, -\sqrt{5}-2)$

8 0

3 years ago

Use the figure above for exercises 1 and 2 1) what does = ? 2) m

Kitty [74]

A straight line is 180°. The angles of QRT (2x + 33) and TRS (5x - 21) make up the 180° angle. So you can do:

∠QRT + ∠TRS = 180°

(2x + 33) + (5x - 21) = 180°

2x + 33 + 5x - 21 = 180 Combine like terms

7x + 12 = 180 Subtract 12 on both sides

7x = 168 Divide 7 on both sides

x = 24

Now that you found x, you can find the angles of QRT and TRS.

m∠QRT = 2x + 33

= 2(24) + 33

= 48 + 33

∠QRT = 81°

m∠TRS = 5x - 21

= 5(24) - 21

= 120 - 21

∠TRS = 99°

7 0

4 years ago

Scott fills a container with sugar using a bowl. The bowl hold 1/4 cup of sugar. Scott uses 8 full bowls to fill the container.

liraira [26]

Answer:

Container holds 2 cups of Sugar.

Step-by-step explanation:

Given:

Amount of Sugar bowl contains = $\frac{1}{4} \ cup$

Number of bowls container is filled with = 8

We need find the number of cups of sugar container holds.

Solution:

Now number of cups of sugar container holds can be calculated by Multiplying Amount of Sugar bowl contains with Number of bowls container is filled with.

framing in equation form we get;

number of cups of sugar container holds = $\frac{1}{4}\times8 = 2 \ cups$

Hence Container holds 2 cups of Sugar.

7 0

4 years ago

Simplify -5-√-44 i have no idea

Tatiana [17]

Answer:

Undefined

Step-by-step explanation:

The square root of a negative number does not exist in the set of real numbers so it would be Undefined

6 0

3 years ago

Find the sum 7/10+ 2/100

Sholpan [36]

7 2 18
--- + ----- = ------ or as a decimal: 0.72
10 100 25

:))

4 0

3 years ago