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3 years ago

15

In mathematics, a formula is a

2 answers:

jekas [21]3 years ago

4 0

A way to help solve an equation or a series of equations

Arisa [49]3 years ago

3 0

An answer to a question

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The slope of any line perpendicular to , where A(0, -3) and B(4, 9) are two points on the line, is m =

enyata [817]

Answer:

m = -1/3

Step-by-step explanation:

The slope of the line can be calculated using the slope formula.

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{9--3}{4-0} = \frac{12}{4} = 3$

Since this is the line with points AB, the slope of any line perpendicular to it will be -1/3. All perpendicular lines cross at a 90 degree angle and as such their slopes are the negative reciprocals of each other. This means 3 becomes -1/3.

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2 years ago

A composite figure is formed by combining a square and a triangle. Its total area is 57.5 ft2. The area of the triangle is 32.5

ozzi

Answer:

Area of square = Composite Area - Area of Triangle

= 32.5 - 7.5 = 25

Area of square = 25 square feet.

Formula for area of square = s²

s² = 25

s = √25

s = 5

Length of each side of square = 5 feet.

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3 years ago

Read 2 more answers

L. Extend Your Thinking Dave is packin

zlopas [31]

Dave can put 5 of each fruit into each box without exceeding 5 kilograms.

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3 years ago

Factorise fully 9x squared - 6xy

prisoha [69]

3x(3x-2y)

you have to find a common factor between the two numbers. in this case it's three, so you just divide each number by three.

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2 years ago

Use the equation and type the ordered-pairs. y = log 3 x {(1/3, a0), (1, a1), (3, a2), (9, a3), (27, a4), (81, a5)

vagabundo [1.1K]

Answer:

Considering the given equation $y = log_{3}x\\$

And the ordered pairs in the format $(x, y)$

I don't know if it is log of base 3 or 10, but I will assume it is 3.

For $(\frac{1}{3}, a_{0} )$

$x=\frac{1}{3}$

$y=a_{0}$

$y = log_{3}x\\y = log_{3}(\frac{1}{3} )\\y=-\log _3\left(3\right)\\y=-1$

So the ordered pair will be $(\frac{1}{3}, -1 )$

For $(1, a_{1} )$

$x=1$

$y=a_{1}$

$y = log_{3}x\\y = log_{3}1\\y = log_{3}(1)\\Note: \log _a(1)=0\\y = 0$

So the ordered pair will be $(1, 0 )$

For $(3, a_{2} )$

$x=3$

$y=a_{2}$

$y = log_{3}x\\y = log_{3}3\\y = 1$

So the ordered pair will be $(3, 1 )$

For $(9, a_{3} )$

$x=9$

$y=a_{3}$

$y = log_{3}x\\y = log_{3}9\\y=2\log _3\left(3\right)\\y=2$

So the ordered pair will be $(9, 2 )$

For $(27, a_{4} )$

$x=27$

$y=a_{4}$

$y = log_{3}x\\y = log_{3}27\\y=3\log _3\left(3\right)\\y=3$

So the ordered pair will be $(27, 3 )$

For $(81, a_{5} )$

$x=81$

$y=a_{5}$

$y = log_{3}x\\y = log_{3}81\\y=4\log _3\left(3\right)\\y=4$

So the ordered pair will be $(81, 4 )$

4 0

3 years ago