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frutty [35]
3 years ago
9

Last one still need major help

Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0

Since it is 12 dollars per hour, she would multiply the number of hours they were conoeing with the cost... $12. The answer is B... 12h

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Rewrite in Polar Form....<br> x^(2)+y^(2)-6y-8=0
skad [1K]
\bf x^2+y^2-6y-8=0\qquad &#10;\begin{cases}&#10;x^2+y^2=r^2\\\\&#10;y=rsin(\theta)&#10;\end{cases}\implies r^2-6rsin(\theta)=8&#10;\\\\\\&#10;\textit{now, we do some grouping}\implies [r^2-6rsin(\theta)]=8&#10;\\\\\\\&#10;[r^2-6rsin(\theta)+\boxed{?}^2]=8\impliedby &#10;\begin{array}{llll}&#10;\textit{so we need a value there to make}\\&#10;\textit{a perfect square trinomial}&#10;\end{array}

\bf 6rsin(\theta)\iff 2\cdot r\cdot  \boxed{3\cdot sin(\theta)}\impliedby \textit{so there}&#10;\\\\\\&#10;\textit{now, bear in mind we're just borrowing from zero, 0}&#10;\\\\&#10;\textit{so if we add, \underline{whatever}, we also have to subtract \underline{whatever}}

\bf [r^2-6rsin(\theta)\underline{+[3sin(\theta)]^2}]\quad \underline{-[3sin(\theta)]^2}=8\\\\&#10;\left. \qquad  \right.\uparrow \\&#10;\textit{so-called "completing the square"}&#10;\\\\\\\&#10;[r-3sin(\theta)]^2=8+[3sin(\theta)]^2\implies [r-3sin(\theta)]^2=8+9sin^2(\theta)&#10;\\\\\\&#10;r-3sin(\theta)=\sqrt{8+9sin^2(\theta)}\implies r=\sqrt{8+9sin^2(\theta)}+3sin(\theta)
3 0
3 years ago
A quantity b varies jointly with c and d and inversely with eWhen b is 18, c is 4, d is 9, and e is 6What is the constant of var
777dan777 [17]

Answer:

constant of variation = 3

Step-by-step explanation:

we know that b varies jointly with c and d

so:

b∝c∝d

and b varies inversely with e, so

b∝\frac{1}{e}

and i will call the constant of variation k, this way we can make an equation for b in the following form:

b=k\frac{cd}{e}

this satisfy that b varies jointly with c and d (if b increases, c and d also increase) and inversely with e (if b increases, e decreases)

we know that when b is 18, c is 4, d is 9, and e is 6:

b=18\\c=4\\d=9\\e=6

substituting this in our equation for b:

b=k\frac{cd}{e}\\ 18=k\frac{(4)(9)}{6}

and we solve operations and clear for the constant of variation k:

18=k\frac{36}{6}\\ 18=6k\\\frac{18}{6}=k\\ 3=k

the constant of variation is 3.

4 0
3 years ago
Read 2 more answers
Consider the following system of two linear equations:
harkovskaia [24]

Hello,

Answer:

The last graph (2;3)

Step-by-step explanation:

2x + 3y = 12

2x – 3y = 0

2x + 3y = 12

2x = 3y

3y + 3y = 12 ⇔ 6y = 12 ⇔ y = 12/6 = 2

2x + 3 × 2 = 12 ⇔ 2x + 6 = 12 ⇔ 2x = 6 ⇔ x = 6/2 = 3

4 0
1 year ago
PLS HELP The positions of two divers from the water's surface after a dive are shown: Justine: −10 feet Mina: −13 feet Which ine
malfutka [58]

Answer:

Because -13 < 10, so -13 is farther from 0 than 10


8 0
3 years ago
Read 2 more answers
Find the value of x.<br> 110°<br> X + 116
LenKa [72]
Xterm correct answer is =11
7 0
3 years ago
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