Two times the sum of a number 3 is -14

The larger of two numbers is 12 less than 5 times the smaller. If the smaller number is equal to one-third of the larger number,

klemol [59]

Answer:

one=12 sencond=1

Step-by-step explanation:

x=12

then,y=3

after that

first NUM,=12

second NUM=1

7 0

3 years ago

What is the value of hin the figure below? In this diagram, ABAD ~ ACBD.

VashaNatasha [74]

Answer:

F. 8

Step-by-step explanation:

The ratio of the long side to the short side is the same in similar triangles. The long side of triangle BAD is AD, which has length 20-4 = 16.

BD/DE = AD/BD

h/4 = 16/h

h^2 = 64 . . . . . . . multiply by 4h

h = 8 . . . . . . . . . . take the square root (matches selection F)

_____

<em>Comment on this geometry</em>

BD = √(AD·DC) is called the "geometric mean" of the segments AD and DC. This geometry has some other geometric mean relationships as well:

BC = √(AC·DC)

BA = √(AC·AD)

8 0

3 years ago

Rewrite in Polar Form....<br> x^(2)+y^(2)-6y-8=0

skad [1K]

$\bf x^2+y^2-6y-8=0\qquad 
\begin{cases}
x^2+y^2=r^2\\\\
y=rsin(\theta)
\end{cases}\implies r^2-6rsin(\theta)=8
\\\\\\
\textit{now, we do some grouping}\implies [r^2-6rsin(\theta)]=8
\\\\\\\
[r^2-6rsin(\theta)+\boxed{?}^2]=8\impliedby 
\begin{array}{llll}
\textit{so we need a value there to make}\\
\textit{a perfect square trinomial}
\end{array}$

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

$\bf [r^2-6rsin(\theta)\underline{+[3sin(\theta)]^2}]\quad \underline{-[3sin(\theta)]^2}=8\\\\
\left. \qquad \right.\uparrow \\
\textit{so-called "completing the square"}
\\\\\\\
[r-3sin(\theta)]^2=8+[3sin(\theta)]^2\implies [r-3sin(\theta)]^2=8+9sin^2(\theta)
\\\\\\
r-3sin(\theta)=\sqrt{8+9sin^2(\theta)}\implies r=\sqrt{8+9sin^2(\theta)}+3sin(\theta)$

3 0

3 years ago

A plumber is fitting A water pipe that is 3/4 foot long on to a water pipe that is 2/12 foot long.How long will the finish pipe

viktelen [127]

Add 3/4 foot to 2/12 foot. The LCD here is 12.

Thus, add 9/12 foot to 2/12 foot. Answer: 11/12 foot.

Are you sure you copied down that "2/12" correctly? Note that 2/12 = 1/6

3 0

3 years ago

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Mrs. Greensmith works a PC Richards and earns $35 per week plus a 12% commission o sales. How much would she earn for the week i

n200080 [17]

Answer: $245

she makes $35 every week (her wage, i’m assuming) regardless of how many sales she makes.

in order to find out how much money she makes out of her sales, you have to multiply the percentage commission by how much her sales was: so .12x1750 = $210 from sales.

you then add up her wage and her sales money, so $35 from wage + $210 from sales = $245 total for the week

answer: $245

8 0

3 years ago

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