Answer:
x = 7 ± 
Step-by-step explanation:
Given
4(x - 7)² - 48 = 12 ( add 48 to both sides )
4(x - 7)² = 60 ( divide both sides by 4 )
(x - 7)² = 15 ( take the square root of both sides )
x - 7 = ± ( add 7 to both sides )
x = 7 ±
Answer: x > 20
Step-by-step explanation:
first, i removed the parentheses.
2x - 6 + 5 > 39
then i calculated it.
2x - 1 > 39
then, i moved the constant to the right.
2x > 39 + 1
then, i added the two.
2x > 40
finally, i divided both sides.
solution: x > 20
Step-by-step explanation:
it's a right angled triangle
it's also a scalene triangle because not all sides are equal
Answer:
or, x= 22 - 4
Step-by-step explanation:
or, x = 18
therefore x = 18
For this case you can find the module of the sum of the two vectors by means of the following equation
a + b = root (a^2 + b^2 + 2*a*b*cos (x)) --- Eq1
On the other hand the vector a + b is
a + b = 7.5*3 ĵ = 22.5 j
The module of a + b is
a + b = Root (22.5^2) = 22.5
Substituting values in Eq1
22.5 = root ((7.5)^2 + (7.5)^2 + 2*(7.5)*(7.5)*cos (x))
Clearing
x = arccos [((22.5^2) - (7.5)^2 - (7.5)^2)/(2*(7.5)*(7.5))]
x = ARCOS (3.5)
the angle between a and b in degrees is
x = ARCOS (3.5*(180/pi))
