Please help me I’m not sure how to answer this problem

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

Convert point Q to polar coordinates (accounting for correct direction):

[tex]\displaystyle r=\sqrt{x^2+y^2}=\sqrt{(-5)^2+(-5\sqrt{3})^2}=\sqrt{25+75}=\sqrt{100}=10\\\\\theta=\tan^{-1}\biggr(\frac{-5\sqrt{3}}{-5}\biggr)=\tan^{-1}\bigr(\sqrt{3}\bigr)=\frac{4\pi}{3}[/tex]

Thus, the answer is [tex]\displaystyle \biggr(10,\frac{4\pi}{3}\biggr)[/tex], or A

Problem 2

Make polar substitutions:

[tex]x^2+y^2-2x+8y=0\\\\r^2-2r\cos\theta+8r\sin\theta=0\\\\r^2=2r\cos\theta-8r\sin\theta\\\\r=2\cos\theta-8\sin\theta\\\\r=-8\sin\theta+2\cos\theta[/tex]

Hence, the answer is C

Problem 3

Eliminate the parameter:

[tex]x=t+3\\x-3=t\\\\y=t^2+2t\\y=(x-3)^2+2(x-3)\\y=x^2-6x+9+2x-6\\y=x^2-4x+3[/tex]

Hence, the answer is C

Problem 4

Identify [tex]z_1[/tex] and [tex]z_2[/tex] and add the complex numbers:

[tex]z_1+z_2=(-3+5i)+(-5-2i)=-3+5i-5-2i=-8+3i[/tex]

Thus, the correct answer is S

Problem 5

Use the formula for multiplying complex numbers in polar form:

[tex]z_1z_2=r_1r_2(\cos(\theta_1+\theta_2)+i\sin(\theta_1+\theta_2))\\z_1z_2=(5)(15)(\cos(240^\circ+135^\circ)+i\sin(240^\circ+135^\circ))\\z_1z_2=75(\cos375^\circ+i\sin375^\circ)\\z_1z_2=75(\cos15^\circ+i\sin15^\circ)[/tex]

Hence, the answer is A

Problem 6

Determine when the ball first hits the ground:

[tex]y=-\frac{1}{2}gt^2+(v\sin\theta)t+y_0\\0=-\frac{1}{2}(32)t^2+(58\sin19^\circ)t+1.9\\0=-16t^2+(58\sin19^\circ)t+1.9\\t\approx1.273[/tex]

Determine the horizontal distance covered by the ball:

[tex]x=(v\cos\theta)t\\x=(58\cos19^\circ)(1.273)\\x\approx69.811[/tex]

Hence, the best answer is C

Problem 7

The equation is in the form of [tex]r=a\cos(n\theta)[/tex] where [tex]a[/tex] is the length of each petal and the curve has a horizontal pole. If [tex]n[/tex] is odd, then there are [tex]n[/tex] petals, but if [tex]n[/tex] is even, then there are [tex]2n[/tex] petals.

From our given equation, there are clearly 4 petals since [tex]n[/tex] is even, and each petal length is 4 units. Hence, the first graph is correct.

Answer:

False

Step-by-step explanation:

I'm assuming its because x isn't negative infinity because the leading coefficient is positive

Answer:

-19/-24 ?

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between −19 and 0 is 19 .

-24 has an absolute value of 24

Answer:

0.791666667 I hope this helped

Step-by-step explanation:

Answer:

4:7

Step-by-step explanation:

4:7 is the same as 4/7

Answer:

We need the picture of the line plot in order to answer the question

Step-by-step explanation:

Answer:

[tex]y = -7[/tex]

[tex]y = 3[/tex]

[tex]y = 13[/tex]

[tex]y = 53[/tex]

Answer:

Complemenraty angles are two angles with sum of 90°. In the given triangle ∠A and ∠B are complementary.

Now, the sine and cosine

Find the sine of ∠A and cosine of ∠B

Since right sides are equal, left sides are equal too

Similarly, we can show that

Proved

Answer:

Step-by-step explanation:

Hello:

an equation   for the line is : y =mx +b    (m: is a slope )

given : m = -1

the equation is : y = -x+b

through the point (-2,-3) :-3 =-(-2)+b....... b=-5

the equation is : y = -x-5

Answer: 8h(2gh - i + 3)

Step-by-step explanation:

factorise 8 out as 8 is a comon factor of 16, 8 and 24

factorise h out together with 8 because all of them have h

Answer:

I believe the answer should be 90:90:180. I may be wrong.

Answer:

2

Step-by-step explanation:

These two are similar triangles. 3 corresponds to 9, and x corresponds to 6. Since 3 is being multiplied by 3 to get 9, x*3 should equal 6. Therefore, x is 2.

Answer:

G. Between 6 and 7

Step-by-step explanation:

As 41 lies between the square of 6 and 7

Here we would be using distance formula to calculate the distance between those two points.

Points are,

★ Distance Formula :

We have :

Substituting the values in the formula :

The distance between the pair of points (-8,3) and (-2,-5) in radical form is √100.

The distance formula can be expressed as:

[tex]d = \sqrt{( x_2 - x_ 1 )^2 + ( y_2 - y_1 )^2}[/tex]

Given the coordinates of the pair of points:
Point 1( -8,3 )

x₁ = -8

y₁ = 3

Point 2( -2,-5 )

x₂ = -2

y₂ = -5

Plug the coordinates into the distance formula and simplify.

[tex]d = \sqrt{( x_2 - x_ 1 )^2 + ( y_2 - y_1 )^2}\\\\d = \sqrt{( -2 - (-8) )^2 + ( -5 - 3 )^2}\\\\d = \sqrt{( -2 + 8 )^2 + ( -5 - 3 )^2}\\\\d = \sqrt{( 6 )^2 + ( -8 )^2}\\\\d = \sqrt{36 + 64}\\\\d = \sqrt{100}[/tex]

Therefore, the distance is √100 units.

Learn more about the distance formula here: brainly.com/question/24509115

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Using it's concepts, it is found that the sample space and the desired probability are given by:

C. {1,2,3,4,5,6,skip}; P(1)=0.125

The sample space is the set that contains all possible outcomes for an experiment.

If an outcome happens more than once, as is the case for the "skip" in this problem, it is shown only once on the sample space, hence for this problem it is given by:

{1,2,3,4,5,6, skip}

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, one out of eight outcomes result in a one, hence:

P(1) = 1/8 = 0.125.

Which means that option C is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

-3

Step-by-step explanation:

Simplified polynomial: 4x^2 + 2x - 5

Plug in -1: 4(-1)^2 + 2(-1) - 5

= -3

Answer:

D 1/2

Step-by-step explanation:

Probability is  the ratio of the number of favorable outcomes to the total number of outcomes

number of favorable outcomes = 11+8 = 19

total number of outcomes = 38

                    The probability that a randomly selected balloon would be green or orange is

  19/38 = 1/2

Answer:

Step-by-step explanation:

According to the given box plot, the 25% point matches the number 2.

It means the rest of the scores are 2 or more runs:

Answer:

first and last option

Step-by-step explanation:

the first and the last are increasing from left to right since the slope is positive.

Answer:

i think the answer might be E.

the answer is A option that is Angle M

The number of the pints of soda were drank during the party will be 14 pints.

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

Bob is throwing a party. He has 22 pints of soda.

At the end of the party, there are 8 pints of soda.

Then the number of the pints of soda were drank during the party will be

⇒ 22 – 8

⇒ 14

The number of the pints of soda were drank during the party will be 14 pints.

More about the subtraction link is given below.

https://brainly.com/question/4319655

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Step-by-step explanation:

cos 0=5/13. B/H

p=√h2 - b2

= √13 square -5 square

=√169 -25

=√144

=12 Ans

Tan0=p/b =12/5. , sin0=p/h =12/13,. sec0= h/b =13/5 ,. Co sec0 =h/p =13/12 , cot0 =b/p=5/12

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Answer:

8+pi/2

Step-by-step explanation:

The area of the rectangle on the bottom is 8, or 2*4. The area of the top is half (because it's a semi circle) of pi*r^2, or just 1/2 pi

Answer:

its A becauss i tryed b and th en i tried A so its a

Answer:

1/5

Step-by-step explanation:

the number of all slices is 10.. and you got 2 blue ones

so you get 2/10 and if you simplify it you get 1/5

Answer:

The answer is 0.0026

Step-by-step explanation:

0.00032 x 5200000 = 1664

1664 divided by 640000 is 0.0026

Answer:

  7.2 meters

Step-by-step explanation:

Similar triangles have linear dimensions that are proportional. The ratio of heights will be the same as the ratio of permeters:

  h/(12 m) = 3/5 . . . . . . . small/large

  h = (3/5)(12 m) = 7.2 m . . . . . . multiply by 12 m

The height of the smaller triangle is 7.2 meters.

Answer: q < 81

Step-by-step explanation:

isolate q

15 < 96 - q

-81 < -q

divide by negative 1 but flip inequality because you are dividing by a negative

81 > q so

q < 81