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den301095 [7]
3 years ago
6

Write an equation for the line passing through the points (0,3) and (-9,0) using Y=mx+b format.

Mathematics
1 answer:
Valentin [98]3 years ago
7 0

Answer:

y = \frac{1}{3}x + 3

Step-by-step explanation:

y = mx + b

y = mx + 3 (the y-intercept was given (0,3))

\frac{3 - 0}{0 + 9} = \frac{3}{9} = \frac{1}{3}

y = \frac{1}{3}x + 3

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Perpendicular to y=4x-7; contains the point (4,3)
san4es73 [151]
Okay, so a general rule for finding perpendicular lines in the form of y = mx + b is y = (-1/m) + b.
First, let's ignore b (-7) because we're going to find that later.
A perpendicular line to y = 4x + b is y = -1/4x + b.
Alright, so now let's plug in the values. They are in the form of (x,y), so let's plug them in accordingly.

3 = -1/4(4) + b
3 = -1 + b
b = 4
y = -1/4x + 4
So a line perpendicular to y = 4x - 7 is y = -1/4x + 4.
5 0
3 years ago
Which of the following expressions represents the least common multiple of 15, 18, and 25?
Virty [35]

Answer:

(2)(3^2)(5^2)

Step-by-step explanation:

we know that

The <u>Least Common Multiple</u> (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.

we have

15,18 and 25

Decompose the numbers in prime factors

15=(3)(5)

18=(2)(3^2)

25=(5^2)

Multiply common and uncommon numbers with their greatest exponent

so

The LCM is equal to

LCM=(2)(3^2)(5^2)

LCM=450

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3 years ago
The residual plot for a data set is shown.
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zaharov [31]
\frac{18}{24} = \frac{6\times 3}{6\times 4} = \boxed{\frac{3}{4}}
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