(1+x^2)^8
=(1+8x^2+8*7/(1*2)x^4+8*7*6/(1*2*3)x^6+8*7*6*5/(1*2*3*4)x^8+....)
=1+8x^2+28x^4+56x^6+70x^8+....)
For x<1, higher power terms diminish in value, hence we can approximate powers of numbers.
1.01=(1+0.1^2) => x=0.1 in the above expansion
(1.01)^8
=1+8(0.1^2)+28(0.1^4)+56(0.1^6) [ limited to four terms, as requested]
=1+0.08+0.0028+0.000056 (+0.00000070)
=1.082856 (approximately)
Answer:
y + 4 = -³/₅(x + 5) {the point-slope form of the equation
}
y = -³/₅x - 7 {the slope-intercept form of the equation}
3x + 5y = - 35 {standard form of the equation}
Step-by-step explanation:
The point-slope form of equation is : y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through.
m = -³/₅
(-5, -4) ⇒ x₀ = -5, y₀ = -4
Therefore:
y - (-4) = -³/₅(x - (-5))
y + 4 = -³/₅(x + 5) ← the point-slope form of the equation
y + 4 = -³/₅x - 3 {subtract 4 from both sides}
y = -³/₅x - 7 ← the slope-intercept form of the equation
³/₅x + y = - 7 {multiply both sides by 5}
3x + 5y = - 35 ← standard form of the equation
Answer:
w
Step-by-step explanation:
i think its b
Answer: x≥14/3
Step-by-step explanation: Hope this help :D
A=l*w
A=5*5
=25 square feet