Answer: x=18
Step-by-step explanation:
2=x-16
18=x
you solve this by adding -16 to -16 and 2, and then there's nothing else to do.
M = -2 is da answer to da equation
Answer
The value of x is 6.2 units .
Step-by-step explanation:
Now by using the pythagorean theorem
Hypotenuse² = Perpendicular² + Base²
Now in the Δ ABD
As given
DB² = DA² + AB²
As given
DB = 13 units
AB = 9 units
Putting values in the above
13² = 9²+ DA²
169 - 81 = DA²
88 = DA²

In ΔABC
AB² = AC² + CB²
(As given AB = 9 units , CB = x)
9² = AC² + x²
AC ² = 81 - x²
Now in ΔADC.
AD² = AC² + DC ²
As
AC ² = 81 - x²
DC = 13 - x


(By using the formula (a + b)² = a² + b² + 2ab )


88-81 - 169 = -26x
88-250 =-26x
-162 = - 26x

x = 6.2 (Approx)
Therefore the value of x is 6.2 units .
The rate of interest for the amount borrowed by Samantha is 11.75 %
<u>Solution:</u>
Given, Samantha borrowed money to buy lawn equipment to start her new lawn service business.
She borrowed $800 for 9 months and paid $70.50 in interest.
We have to find what was the rate of interest?
Now, amount = $800, simple interest = $70.5, time period = 9 months = 
<em><u>Simple Interest is given as:</u></em>



Hence, the interest rate is 11.75%.
2cos²x+cos x-1=0
cos x=t
2t²+t-1=0
t=[-1⁺₋√(-1+8)]/2=(-1⁺₋3)/4
We have two possible set solutions:
First set solutions.
t₁=(-1-3)/2=-4/4=-1
cos x=-1 ⇒x=cos⁻¹ (-1)=π +2kπ or 180º+360ºk (k=(...-2,-1,0,1,2...)
Second set solutions:
t₂=(-1+3)/4=2/4=1/2
cos x=1/2 ⇒ x=cos⁻¹ 1/2=π/3+2kπ U 5π/3+ 2kπ or
60º+360ºK U 300º+360ºK (k=...-2,-1,0,1,2,...)
solutions: first set solutions U second set solutions:
Answer in radians : π +2kπ U π/3+2kπ U 5π/3+ 2kπ (k=...-1,0,1,...)
Answer is degrees: 180º+360ºk U 60º+360ºK U 300º+360ºK (k=...-2,-1,0,1,2,...)