Assuming you know the quadratic formula:
You can fill in a, b and c in this and get:
Now, let's create a shorthand 
to make the writing easier:
But since one root is three times the other root (but we don't know which one), we also know that:
or 
If you solve this, you get:
or 
However, since q is a square root, it must be postive.
So we know that:
From this you find that
So p = 3/2
The roots are x=1/2 and x=3/2.
Answer:
r = 46
Step-by-step explanation:
To solve the equation, solve for r by isolating the variable. Whatever you do to one side, do to the other.
1) First, simplify the right side by combining like terms. Subtract the coefficients of the terms with the same variables. Subtract 5r by 4r.
2) Now, finally isolate r by subtracting both sides by 14.
So, r = 46.
6x-1/5=3
add 1/5 to both sides
6x=1/5+3
convert 3 to fraction with 5 as denomenatory
3/1 times 5/5=15/5
6x=15/5+1/5
6x=16/5
divide both sides by 6
x=16/5 times 1/6
x=16/30
x=8/15
The value of y is 11 if the measure of the angle (x + 6y) is 90 degree and x = 24 option first is correct.
<h3>What is a perpendicular line?</h3>
Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other known as parallel lines.
We have a perpendicular line shown in the picture.
The measure of the angle (4x - 6) is equal to 90 degree.
4x - 6 = 90
4x = 96
x = 24
Similarly, the measure of the angle (x + 6y) is equal to 90 degree:
x + 6y = 90
Plug x = 24
24 + 6y = 90
y = 11
Thus, the value of y is 11 if the measure of the angle (x + 6y) is 90 degree and x = 24 option first is correct.
Learn more about the perpendicular line here:
brainly.com/question/18271653
#SPJ1
Answer:
40 cm
Step-by-step explanation:
This is because the angle opposite the x is equal to the angle opposite the 40 cm making the sides equal as well.
