Answer:
x²- √3 x +1/2
Step-by-step explanation:
To write a quadratic equation with roots only:
x² -(sum of the roots)x+(product of roots)
x²-((√3-1/2)+(√3+1/2)x + ((√3-1/2)(√3+1/2)
x² -(2√3)/2 + ( 9-1)/4
x²- √3 x +1/2
We know that pupils are students
Students = S
boys = B
Teachers = T
So....
S = 8T
Boys = 3G
T = B - 70
Since there is 8x students than teachers, I did Boys = 6x and girls = 2x
I'm going to use this next: S = 8T
8x = 8(B -70)
8x = 8(6x - 70)
8x = 4x - 560
x = 14
We know there is 8x students, so there are 112 students and we know that there is 1/8 of teachers, so there are 14 teachers.
Answer = 126.
Answer:
113.1 inches squared
Step-by-step explanation:
Answer:

Step-by-step explanation:
Since we are in quadrant 2, sine is positive. Since sine is positive and cosine is negative, then tangent is negative.
Now I'm going to find the sine value of this angle given using one of the Pythagorean Identities, namely
.
If given
, then we have
by substitution of
.
Let's solve:
for
.

Subtract 4/9 on both sides:

Simplify:

Square root both sides:



===========

Multiplying top and bottom by 3 gives:

I'm going to move the factor of -1 to the top:

Answer:
The number line goes from negative two to two.
The numbers shown by the number line (-2, -1, 0, 1 and 2) are all integers.
Between each pair of numbers, there are 4 equal segments, each one of 1/4 = 0.25 units length. Therefore we can locate, for example, 1.25, 0.5 and -0.75 at the number line.