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4 years ago

If you simplify 4(3x + 8) - 3 . What will your answer be ?

2 answers:

8 0

1.) Distribute 4 to (3x) & (8): $4*3x=12x$ , $4*8=32$
2.) Rewrite the expression: $12x+32-3$
3.) Combine like terms: $32-3=29$
4.) Rewrite the final expression: $12x+29$
Final Answer: $12x+29$
Hope this helps!!

sladkih [1.3K]4 years ago

3 0

12x+29 I think is your answer

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Given,

HK is the perpendicular bisector of GJ. So, GK = KJ.
GK = 2x + 10
KJ = 3x - 15

_______________

Find KJ .

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First find the value of x

$\sf \: GK \: = KJ \\\sf 2x + 10 = 3x - 15 \\\sf 2x - 3x = - 15 - 10 \\ \sf - x = - 25 \\ \sf \: - > \boxed{\bf \: x = 25}$

Now, find the value of KJ.

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-> The value of KJ is 60.

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3 years ago

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Solve the system of equations using the elimination method x+3y= -15 -3x+2y=23

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Step-by-step explanation:

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3 years ago

Given: 1; -5; -13 ; -23 ; ... Derive a formula for the nth term in the pattern.

mylen [45]

Answer:

f(n) = -n^2 -3n +5

Step-by-step explanation:

Suppose the formula is ...

f(n) = an^2 +bn +c

Then we have ...

f(1) = 1 = a(1^2) +b(1) +c

f(2) = -5 = a(2^2) +b(2) +c

f(3) = -13 = a(3^2) +b(3) +c

Here's a way to solve these equations.

Subtract the first equation from the second:

-6 = 3a +b . . . . . 4th equation

Subtract the second equation from the third:

-8 = 5a +b . . . . . 5th equation

Subtract the fourth equation from the fifth:

-2 = 2a

a = -1

Then substituting into the 4th equation to find b, we have ...

-6 = 3(-1) +b

-3 = b

and ...

1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation

5 = c

The formula is ...

f(n) = -n^2 -3n +5

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4 years ago