Answer:
14
Step-by-step explanation:
To calculate the greatest common factor (GCF) of 28 and 42, we need to factor each number (factors of 28 = 1, 2, 4, 7, 14, 28; factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42) and choose the greatest factor that exactly divides both 28 and 42, i.e., 14.
B.increase; increase
C.decrease; increase
D.increase; decrease
Answer:
increase; increase
Step-by-step explanation:
write and solve an equation to find the value of x (show work)
What is the length of RS
What is the length of UV
Answer:
The length of RS is 22
The length of UV is 22
Step-by-step explanation:
6x-8. ---------- equation (i)
4x+2 ------------ equation (ii)
Now,
equating equation i and ii, we get
6x-8 = 4x+2
or, 6x-4x = 2+8
or, 2x = 10
or, x = 10/2
.°. x = 5
Then,
length of RS = 6x-8
= 6×5-8
= 30-8
= 22
Again
length of UV = 4x+2
= 4×5+2
= 20+2
= 22
The value of x is 5. The length of both RS and UV is 22.
In mathematics, when two lines or segments are said to be equal, it means you can set your two given equations equal to each other. In this case, you can equate RS to UV, which would give you the equation 6x - 8 = 4x + 2. To solve for x, you would start by moving the 4x from the right side of the equation over to the left by subtraction to get 2x - 8 = 2. Next, to isolate x, you would move the 8 over to the right side of the equation using addition, so the equation becomes 2x = 10. Finally, divide each side by 2 to get x = 5. To find the lengths of RS and UV, substitute x = 5 into the original equations, yielding RS = 6*5 - 8 = 22 and UV = 4*5 + 2 = 22.
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