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3 years ago

Thirty-one thousand, eight hundred eighty-nine

Mathematics

1 answer:

tangare [24]3 years ago

7 0

Answer:

where is the question?

Step-by-step explanation:

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Prove that lines 3x-4y=12 and 3y=12-4x are perpendicular.

Svetllana [295]

Answer:

see explanation

Step-by-step explanation:

If 2 lines are perpendicular then the product of their slopes equals - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Consider the given equations

3x - 4y = 12 ( subtract 3x from both sides )

- 4y = - 3x + 12 ( divide terms by - 4 )

y = $\frac{3}{4}$ x - 3 ← in slope- intercept form

with slope m = $\frac{3}{4}$

3y = 12 - 4x = - 4x + 12 ( divide terms by 3 )

y = - $\frac{4}{3}$ x + 4 ← in slope- intercept form

with slope m = - $\frac{4}{3}$

Then

$\frac{3}{4}$ × - $\frac{4}{3}$ = - 1

Since the product of their slopes = - 1 then the lines are perpendicular

3 0

3 years ago

1 The ages of three cats are a, a + 4 and 2a - 3.<br> Their total age is 21. Determine a.<br> ?

Nimfa-mama [501]

Answer:

a = 5

Step-by-step explanation:

a +a+4 + 2a-3 = 21

4a +1 =21

4a = 20

a = 5

8 0

3 years ago

If a cylinder has a height of 21 cm and a volume of 11,144 cm^3.

nataly862011 [7]

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad 
\begin{cases}
h=height\\
r=radius\\
----------\\
h=21\\
V=11,144
\end{cases}\implies 11,144=\pi \cdot r^2\cdot 21$

solve for "r"

7 0

3 years ago

What is the 30 60 90 rule and the 45 45 90 rule (to do with triangles)

Sphinxa [80]

The 30,60,90 - the hypotenuse is equal to twice the length of the shorter leg , the hypotenuse side =2x , the shortest side =x and the straight side is x square root 3

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3 years ago

Jon ran around a track that was 1\8 of a mile long.He ran around the track 24 times.How many miles did Jon run?

balandron [24]

Answer:

3 miles

Step-by-step explanation:

5 0

3 years ago