Answer:
b/(b+a)
Step-by-step explanation:
(1/a)-(1/b) :[ (b²-a²)/ab²]
first solve :
common denominator ab
(1/a)-(1/b) = (b-a)/ab
[b-a/ab] : [(b²-a²)/ab²]
when divide fraction ( division sign turn to (×) and flip the second fraction(reciprocal):
[b-a/ab] × [ab²/ (b²-a²)]
then simplify : ab²/ab = b
(b-a)×(b/b²-a²)
factorize : b²-a² = (b-a)(b+a)
(b-a)×(b/(b-a)(b+a)) simplify : (b-a)/b-a = 1
[(b-a)(b)]/[(b-a)(b+a)
b/b+a
Subtract the distances.
Subtract the times.
Divide he difference in distance by the difference in time.
Hey there!
We can solve inequalities just like equations. There is only one difference though. If you ever multiply or divide both sides by a negative number, you "flip" the inequality sign.
First, let's undo the parentheses.
2x-24+24<4x+20
We simplify.
2x<4x+20
We subtract 4x from both sides.
-2x<20
We divide both sides by -2 (we will need to flip the inequality sign).
x>-10
I hope this helps!
<h3>
Answer: 35</h3>
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Explanation:
A full circle is 360 degrees. The pie slices shown represent the various angles of each slice. Each angle expression in that diagram will add up to 360.
Doing this will help us solve for x.
(angleVQR)+(angleRQS)+(angleSQT)+(angleTQU)+(angleUQV) = 360
(21x+4) + (14x-4) + (5x+5) + (5x+5) + (80) = 360
45x+90 = 360
45x = 360-90 ... subtract 90 from both sides
45x = 270
x = 270/45 ..... divide both sides by 45
x = 6
We'll then plug this x value into the angle expression for angle TQU
angle TQU = 5x+5
angle TQU = 5*6+5
angle TQU = 35 degrees
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Extra info:
- angle VQR = 130 degrees
- angle RQS = 80 degrees (same as angle UQV)
- angle SQT = 35 degrees (same as angle TQU)
- Starting at angle VQR, and working clockwise, the five angles are: 130, 80, 35, 35, 80. Note that 130+80+35+35+80 = 360.
