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Liula [17]
3 years ago
12

Solve 8z + 12 = 5z − 21

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0
z = -11

Steps:
8z+12 = 5z-21
Subtract 12 from both sides
8z+12-12 = 5z-21-12
Simplify
8z = 5z-33
Subtract 5z from both sides
8z-5z = 5z-33-5z
Simplify
3z = -33
Divide both sides by 3
3z/3 = -33/3
Simplify
z = -11

Hope this helps you! (:
-Hamilton1757
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Evaluate f^3+11g-4h when f= 3, g=2 and h=7
vladimir2022 [97]

Step-by-step explanation:

=f³+11×g-4×h

=3³+11×2-4×7

=27+22-28

=21

is yr answer.

3 0
3 years ago
Find the slope of the line passing through the points (2,-9) and )1,-3)
nignag [31]

Hi there!

\large\boxed{\text{slope =} 6}

We can calculate slope using the following formula:

slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Plug in the corresponding points:

slope = \frac{-9-(-3)}{2-1}

Simplify:

slope = \frac{-6}{1} = -6

3 0
3 years ago
Read 2 more answers
Gary learned that the value of his car depreciates by 15% percent per year. Which of the following functions best describes the
Sever21 [200]
For this case we have that the original value of the car is:
 m dollars
 For the following year we have the value is:
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 Rewriting we have:
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 0.85m
 Answer:
 
the value of his car the year after the car is worth m dollars is:
 
B.f (m) = 0.85m
5 0
3 years ago
lots of toys were in the swimming pool. the pool had 15 hoops in it. what is the value of each line in the graph?
Volgvan

Each line indicates the amount of a certain object.

We already know that the value of the green line is 15, all that is left to do is find the rest . . .

<u>Values</u>

Red Line: 20

Orange Line: 60

Green Line: 15

turquoise Line: 45

Blue Line: 65

Your welcome :3

3 0
3 years ago
A flagpole has a height of 10 yards. It will be supported by 3 cables, each of which is attached to the flagpole at a point 4 ya
Contact [7]
Pytagorean theorem

height10
attached at 10-4=6 yards from bottom
8 yards from base to away


a^2+b^2=c^2
a and b are side legnths and c=hypotonuse
so therfore we are given a and b and we must solve for c


so
6=height
8=base

6^2+8^2=c^2
36+64=c^2
100=c^2
square root
10=c

so therfor the legnth of each cable is 10 yards
3 cables so 3 times 10=30

30 yards needed

7 0
3 years ago
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