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3 years ago

How many distinct ways can all the letters on "Geometry" be arranged to form a new "Word"?

Mathematics

1 answer:

ZanzabumX [31]3 years ago

7 0

Geo stands for science it’s a greek prefix and the suffix means nothing

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Determine if line KM and line ST are ॥, ⊥, or neither: K(-5,1) , M(-2,-8), and S(12,14), T(20,-10) Parallel Perpendicular or nei

Black_prince [1.1K]

Answer:

The lines are parallel i.e. KM || ST

Step-by-step explanation:

Given

K(-5,1) , M(-2,-8), and S(12,14), T(20,-10)

In order to find if the lines are parallel, perpendicular or neither slope will be used.

The slope of any line which passes from two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula

$m = \frac{y_2-y_1}{x_2-x_1}$

If two lines are parallel their slope is equal. If two lines are perpendicular the product of their slope is equal to -1

So, first slopes of both lines will be calculated.

Let m1 be the slope of KM

and

m2 be the slope of ST

$(x_1,y_1) = (-5,1)\\(x_2,y_2) = (-2,-8)$

Putting the values in the formula for slope

$m_1 = \frac{-8-1}{-2-(-5)}\\m_1 = \frac{-9}{-2+5}\\= \frac{-9}{3}\\= -3$

Putting the values in the formula for slope

$m_2 = \frac{-10-14}{20-12}\\= \frac{-24}{8}\\= -3$

As we can see that slope of both lines KM and ST are equal

i.e. m1 = m2 = -3

Hence,

The lines are parallel i.e. KM || ST

6 0

3 years ago

What number is 6% of 60

7nadin3 [17]

I say 10 because if the 6 was a demical i would been 10.

4 0

3 years ago

Read 2 more answers

Geometry

schepotkina [342]

Area=1/2xbxh

15-5=l0

17-10=7

A=1/2 x 7x10

A= 1/2 X70

A= 35 yd.

4 0

4 years ago

The conversion of square feet to square yards can be represented by direct variation. Three square yards are

grandymaker [24]

<h3>The constant of variation is $\frac{1}{9}$ </h3><h3>The equation is $y=\frac{1}{9}x$ </h3>

<em><u>Solution:</u></em>

Given that,

The conversion of square feet to square yards can be represented by direct variation

Let y represent the number of square yards

Let x be the number of square feet

$y \propto x$

y = kx ------ eqn 1

Where, "k" is the constant of variation

Three square yards are equivalent to 27 square feet

Substitute, y = 3 and x = 27 in eqn 1

$3 = k \times 27\\\\k = \frac{3}{27}\\\\k = \frac{1}{9}$

Thus the constant of variation is $\frac{1}{9}$

<em><u>What is the equation representing the direct variation?</u></em>

Substitute k = 1/9 in eqn 1

$y = \frac{1}{9}x$

Thus the equation is found

4 0

4 years ago

WILL MARK BRAINLIEST IF RIGHT PLS DONT GET IT WRONG

Usimov [2.4K]

Answer:

A triangle's total is 180 degrees. 90 is a right angle. 20 is the angle for A. That would mean the value of 90+20=110. 180-110=70 B is 70

3 0

3 years ago

How many distinct ways can all the letters on "Geometry" be arranged to form a new "Word"?​

How many distinct ways can all the letters on "Geometry" be arranged to form a new "Word"?