Hello!
I believe it's like this.. 2x+3=15. That number would be 6.
Hope this helps! ☺♥
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Ola!
Eu acredito que e assim, esse numero seria 6.
Espero que isso ajude! ☺♥
Option C: 90° is the value of x.
Explanation:
The given expression is
for ![0^{\circ} \leq x \leq 180^{\circ}](https://tex.z-dn.net/?f=0%5E%7B%5Ccirc%7D%20%5Cleq%20x%20%5Cleq%20180%5E%7B%5Ccirc%7D)
We need to solve the expression.
Thus, we have,
![4+2 \sin x=14-8 \sin x](https://tex.z-dn.net/?f=4%2B2%20%5Csin%20x%3D14-8%20%5Csin%20x)
Subtracting both sides by 4, we have,
![2 \sin x=10-8 \sin x](https://tex.z-dn.net/?f=2%20%5Csin%20x%3D10-8%20%5Csin%20x)
Adding both sides by 8 sin x, we get,
![10 \sin x=10](https://tex.z-dn.net/?f=10%20%5Csin%20x%3D10)
Dividing both sides by 10, we have,
![sin \ x=1](https://tex.z-dn.net/?f=sin%20%5C%20x%3D1)
Taking
on both sides of the equation, we get,
![x=sin^{-1}(1)](https://tex.z-dn.net/?f=x%3Dsin%5E%7B-1%7D%281%29)
![x=90^{\circ}](https://tex.z-dn.net/?f=x%3D90%5E%7B%5Ccirc%7D)
Thus, the value of x is 90°
Hence, Option C is the correct answer.
Consider a and b are two point on line... Slope of line: Xa-Xb/Ya-Yb
Another way.. Consider line of equation: 2y+3x+5=0
Slope= -u/v
U=3 (number before x)
V=2 (number before y)
Since Krystal and Scott is heading on opposite
directions, therefore the distance between the two would be the sum of their
distances from where they left, so:
total distance (d) = distance covered by Krystal (dK) +
distance covered by Scott (dS)
d = dK + dS
We know that the formula for distance is:
distance = velocity * time
So,
d = vK * t + vS * t
where
vK = velocity of Krystal = 61 mph
vS = velocity of Scott = 65 mph
d = 252 miles
Therefore:
252 = 61 t + 65 t
126 t = 252
t = 2 hours
Therefore Scott needs to travel for 2 hours.
5(3x-7)=20
15x-35=20
15x= 55
x= 55/15
x= 11/3
Plug this x value in.
6(11/3)-8
66/3 -8
22-8
14
Final answer: 14