The least common multiple of x² – 8x + 12 and x² – x – 2.

by factoring:
∴ x² – 8x + 12 = (x-2)(x-6)

x² – x – 2 = (x-2)(x+1)

note: the factor (x-2) is common between them take it one time

∴ LCM = (x-2)(x-6)(x+1)

6 0

2 years ago

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EASY MATH QUESTION PLEASE HELP

Ksju [112]

Answer:

-27

Step-by-step explanation:

substitute x for 5

$f(5)=-5(5)-2$

multiply -5 and 5

$-25-2$

subtract 2 from -25

$-27$

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2 years ago

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The incline of a roller coaster is 2 times as long as its elevation, and the horizontal length of the roller coaster is 11 m mor

Gelneren [198K]

Let
x-------> the horizontal length of the roller coaster
y------> the elevation of the roller coaster
c------> the incline of a roller coaster

we know that
applying the Pythagoras theorem
c²=x²+y²-----> equation 1
c=2y-----> equation 2
x=11+y----> equation 3

substitute equation 2 and equation 3 in equation 1
[2y]²=(11+y)²+y²
4y²=11²+22y+y²+y²
2y²-22y-121=0

using a graph tool-----> to resolve the second order equation
see the attached figure

the solution is
y=15.026 m

c=2*y-----> c=2*15.026----> c=30.052 m

the answer is
30.05 m

7 0

2 years ago