Answer: 14.967
Step-by-step explanation:
Use Pythagorean Theorem to find the missing length.
a² + b² = c²
x² + 10² = 18²
x² + 100 = 324 [Subtract 100 from both side]
x²= 224
√x² = √224 [solve the square root from both sides]
x ≈ 14.967
Step-by-step explanation:
p
2
−2p−100=(−10)
2
−2(−10)−100 [Putting p=−10]
=100+20−100=20.
ᴍᴀʀᴋ ᴀꜱ ʙʀᴀɪɴʟɪᴇᴀꜱᴛ
Answer: 45b^4/32
Step-by-step explanation: First multiply the two fractions
15b^3y(3b)/8y x 4
Multiply 3 by 15
45b^3yb/8y x 4
Raise b to power of 1
45(b^1b^3)y/8y x 4
Use power rule to combine exponents
45b^1+3 y/8y x 4
Simplify
45b^4y/32y
Cancel common factor of y
45b^4/32
So to solve for y, subtract 108 from each side.
The equation becomes -y=126
Since you don't want y to be negative then divide each side by -1 this will flip all of the signs (positives become negative and vice versa) without changing the number.
So the equation is now y= -126
Answer:
Let x and y be the two numbers. Then
yx=57 and x−y=20
Cross multiplying the proportion
5x=7y or y=75x
So, x−y=20
x−75x=20⇒77x−5x=72x=20
⇒x=2140=70
y=75x=75×70=50
So smaller number is 50.
Check :yx=5070=57 and 70−50=20
