Answer:
Step-by-step explanation:
y = -2x+5
slope of line is -2.
slope of parallel to line is also -2
point-slope equation for line of slope -2 that passes through (-5,3):
y-3 = -2(x+5)
Answer:
The angle (7x-14) and (4x+19) are corresponding angles. Both angles are 63 degrees.
Step-by-step explanation:
Since the two angles are corresponding, they are equal.
7x-14 = 4x + 19
Subtract the 4x on right side to get 19 alone. Do the same on the left side since, whatever you do on one side, you have to do to the other.
3x-14 = 19
Add the -14 on the left side to get 3x alone. Do the same on the right side since, whatever you do on one side, you have to do to the other.
3x = 33
Divide by 3.
x = 11
Acute angle is a 50 degree angle
Your basically building a new equation with the two functions given to you.
(sqrt(3x + 7)) + (sqrt(3x - 7)) = 0
Then just open up the brackets and simplify further.
sqrt(3x + 7) + sqrt(3x - 7)= 0
Nothing to special really happened there, just removed the brackets. Now you move one of the radicals to the other side so you can square the whole equation.
sqrt(3x + 7) = - sqrt(3x - 7)
Then go ahead and square both sides to remove the radical.
3x + 7 = 3x - 7
Now if you kept trying to isolate x, you find that both sides will just cancel each other out and you are left with,
7 = -7
Since that statement isn't true your answer will be that there is no solution to this equation.
x ∈ Ø
