How many different ways can six runners line up in a race?

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

3 0

Six runners can line up 36 different ways

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Which equation is equivalent to 2x+4a=10 A. X= 5/4a B.5+2a C. X=10-4a D. X=5-2a

kifflom [539]

Alright, so we start off my subtracting 4a from both sides, separating the x and getting 10-4a=2x. Next, we divide both sides by 2, getting that 5-2a=X

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3 years ago

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What is the image of the point (3,4) after a rotation of 90 degree counterclockwise about the origin

jeka57 [31]

Answer:

(- 4, 3 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

(3, 4 ) → (- 4, 3 )

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2 years ago

Find the inverse function for f(x)=square root 2x-6

ehidna [41]

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7 0

3 years ago

Given the geometric sequence where a_1 = 3 and r = √2 find a_9

sesenic [268]

To find n-therm of a geometric sequence, we are going to use the formula $a_{n} =a _{1} r^{n-1}$
where:
$a_{n}$ is the term we are looking for
$a _{1}$ is the first term
$r$ is the ratio
$n$ is the position of the number in the sequence

From the question we now that $a _{1} =3$ , $r= \sqrt{2}$ , and $n=9$ . Lets replace those values into our formula to get:
$a _{9} =3( \sqrt{2} )^{9-1}$
$a_{9} =3 \sqrt{2} ^{8}$
$a_{9} =48$

We can conclude that in our geometric sequence $a_{9} =48$ ; therefore, the answer is A.

4 0

3 years ago

Help!!! pls it say its not right can you correct it

True [87]

It looks right to me. Maybe try to switch the S and R but keep the ray symbol over the letters.

5 0

2 years ago