The easiest way to do this is to realize this is a <em>weighted average</em> of the two points. (A weighted average is a linear combination where the coefficients add to one.)
(x,y) = (1-t)C + tD
where t is a real parameter. When t=0 we're at point C, when t=1 we're at point D. We're interested in t=1/4,
(x,y)= (3/4) C + (1/4) D
We're only asked for the x coordinate:
x = (3/4) (1) + (1/4) (-4) = 3/4 - 1 = - 1/4
Answer: 
The solution to the equation √11x + 5 = 7 is x = 4 and the solution is not an extraneous solution
<h3>How to solve for x?</h3>
The equation is given as:
The square root of the quantity 11 x plus 5 end quantity equals 7.
Rewrite as:
√11x + 5 = 7
Square both sides
11x + 5 = 49
Subtract 5 from both sides
11x = 44
Divide by 11
x = 4
Hence, the solution to the equation √11x + 5 = 7 is x = 4 and the solution is not an extraneous solution
Read more about equations at:
brainly.com/question/2972832
#SPJ1
It’s a very simple relation 12x 3 = 36 so 9 x ? = 36, so the answer is 4
The word mono in Latin means one. Since a monarchy has only one leader, it is logical to say that a monomial has only one term.
Vertical angles are equal
5x - 40 = 3x + 8
5x - 3x = 8 + 40
2x = 48
x = 48/2
x = 24
m∠ABC = 3x + 8 = 3 * 24 + 8 = 80°
(or m∠ABC = 5x - 40 = 5 * 24 - 40 = 80°)