The answer is actually choice A
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If we add up the equations straight down we will have 0a+2b = 6
Note how adding the 'a' terms gives us 3a + (-3a) = 3a-3a = 0a. The 0a term is really 0 since 0 times anything is 0. So the 'a' terms will go away
The equation 0a+2b = 6 turns into 0+2b = 6 and that simplifies to 2b = 6
To isolate b, we divide both sides by 2
2b = 6
2b/2 = 6/2
b = 3
We can stop here since only one answer choice has b = 3, which is choice A. However, let's keep going to find the value of 'a'
Plug b = 3 into any equation with 'a' and 'b', then solve for 'a'
3a+4b = 9
3a+4*3 = 9
3a+12 = 9
3a+12-12 = 9-12
3a = -3
3a/3 = -3/3
a = -1
So a = -1 and b = 3 pair up to form (a,b) = (-1,3)
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To check, plug this ordered pair back into both equations
Equation 1:
3a+4b = 9
3*(-1)+4*3 = 9
-3+12 = 9
9 = 9
Equation 1 has been checked out
Equation 2:
-3a-2b = -3
-3(-1)-2(3) = -3
3 - 6 = -3
-3 = -3
this is true as well
So this confirms that the final answer is choice A
Step-by-step explanation:
x = 90- 55 = 35
y = 180- x
y= 180 - 35 = 145
z =180- (y +10)
z = 180 - (145 +10)
z = 180-155
z = 25
Please gimme brainliest
Answer:
256
Step-by-step explanation:
For the limit to exist, the limits from either side must also exist and be identical. We have


Since the limits do not match, the overall limit does not exist.
Answer:
Part 7) Option C. The approximate perimeter of the patio is 
Part 8) Option G. 
Part 9) 
Step-by-step explanation:
Part 7) we know that
The perimeter of the figure is equal to the circumference of the larger half circle plus the circumference of the smaller half circle plus two times the length of 8 ft
step 1
Find the circumference of the larger half circle
The circumference of the larger half circle is

we have

substitute


step 2
Find the circumference of the smaller half circle
The circumference of the smaller half circle is

we have

substitute


step 3
Find the perimeter of the figure

assume 
so

Part 8) we know tat
The area of a circle is equal to

we have

assume 
substitute the values and solve for r




Find the diameter D

Divide the width of the pool by the diameter of the floats
so

Part 9)
<em>step 1</em>
Find the circumference of one coaster
The circumference of circle is

we have

assume 
substitute

<em>step 2</em>
Find the circumference of 48 coasters
so

<em>step 3</em>
we know that
The laser cut woods at the rate of 3 inches per minute
By proportion find how many minutes will it take to cut out 48 coasters
