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Yanka [14]
3 years ago
8

A line passes through the point (-6,7) and has a slope of -2 write an equation in point slope form for this line

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
3 0

Answer:

Step-by-step explanation:

(-6,7) & m = -2

point slope form of line :  y - y₁   = m (x-x₁)

y - 7 = (-2) (x - [-6] )

y - 7 = (-2) (x + 6)

y - 7 = -2x - 2 * 6

y - 7 = -2x - 12

2x  + y = -12 +7

 2x + y = -5   0r  y = -2x - 5

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(question 4 only plz)
Hatshy [7]
#4
White block(s) = 2
Red block(s) = 1
Purple block(s) = 3
Total = 2 +1 + 3 = 6 blocks

a) P(white) = \frac{2}{6} = \frac{1}{3}
    P(red) = \frac{1}{6}
    P(purple) = \frac{3}{6} =  \frac{1}{2}

b)Not white block:
   1 - \frac{1}{3}   OR   \frac{1}{2} + \frac{1}{6}
    \frac{2}{3}                 \frac{2}{3}
Because, when they say no white blocks, we simply do not count them and add the rest to find that probability without white blocks.

c) The probability stays the same: lets say now we have
4 white blocks, 2 red, and 6 purple, total will be 12

P(white)=\frac{4}{12} which is still \frac{1}{3}

d) We get two more blocks in the numerator: lets say we have 4 white blocks, 3 red, 5 purple (after adding 2 of each color), total will be 12

P(purple)=\frac{5}{12}
(im not quite sure if my explanation here helps you though)

e) 1 more of white and purple, 5 more of red
  white = 3, purple = 4, red = 6, total = 12
(you can either add 2 to white or purple but make sure you add 5 of red)

P(red)=\frac{6}{12} = \frac{1}{2}
  


5 0
3 years ago
The radius of a cylindrical water tank is 4.5 ft, and its height is 10 ft. What is the volume of the tank?
choli [55]

Answer:

636.3 cubic meters

Step-by-step explanation:

Volume of cylinder= pi × radius² × height

3.142 × 20.25 × 10 = 636.255 rounded to the nearest one decimal place is 636.3

Have a nice day.

5 0
3 years ago
John opens a savings account with $1,000 that compounds interest daily. The APR at the time John deposits the account is 3.5%. H
3241004551 [841]
\bf \qquad  \qquad  \textit{Annual Yield Formula}
\\\\
\qquad \qquad \left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 3.5\%\to \frac{3.5}{100}\to &0.035\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{daily, so in a year is 365}
\end{array}\to &365
\end{cases}
\\\\\\
\left(1+\frac{0.035}{365}\right)^{365}-1

you'll get a decimal format, just multiply it times 100, to get the % format
6 0
3 years ago
Read 2 more answers
Square root of -19 in terms of i​
yulyashka [42]

Answer:

i√19

Step-by-step explanation:

Because √(-19) = √(-1)√19, and because √(-1) = i, we get i√19

7 0
3 years ago
Which choice is equivalent to expresision below?
DIA [1.3K]

We can simplfiy to be -\sqrt{100}

\sqrt{-1} * \sqrt{100}.

We know that \sqrt{100} is 10 and -1 is i, so the answer is 10i, or D.


5 0
3 years ago
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