Answer:
17
Step-by-step explanation:
3×3+8
i applied BODMASS RULE
Answer:
x=8
Step-by-step explanation:
The two angles are alternate interior angles. This means that they are equal to each other.
8x-12=3x+28
5x=40
x=8
Answer:
Missing co-ordinate for the ordered pair is 
Y-intercept is 
X-intercept is 
Step-by-step explanation:
The number of a certain company's video stores can be approximated by the linear equation
where 
is the number of stores and 
represents the number of years after 1990.
To find the missing co-ordinate for the ordered pair solution 
For the ordered pair, we are given the value which is =7 i.e 7 years after 1990. Thus we will plugin 
in the linear equation to get the value which is number of stores after 7 years from 1990.
Thus the ordered pair is
To find y-intercept which is the point where the line touches the y-axis, we would plugin 
in the equation as the x-coordinate is 0 at y-axis.
Thus y-intercept is at point
To find x-intercept which is the point where the line touches the x-axis, we would plugin 
in the equation as the y-coordinate is 0 at x-axis and thus for
Subtracting both sides by 4682.
Dividing both sides by -264
∴ 
Thus x-intercept is at point
Answer:
x=7 y=3
Step-by-step explanation:
-x+6y=11
2x-3y=5
-2x+12y=22
2x-3y=5
Add both equations
-2x+2x-3y+12=22+5
9y=27
y=3
plug y back in
-x+18=11
-x=-7
x=7
When roots of polynomials occur in radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.
The first factor is x - (a + √b).
The second factor is x - (a - √b).
The polynomial is
f(x) = [x - (a + √b)]*[x - (a - √b)]
= x² - x(a - √b) - x(a + √b) + (a + √b)(a - √b)
= x² - 2ax + x√b - x√b + a² - b
= x² - 2ax + a² - b
This is a quadratic polynomial, as expected.
If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.
x = (1/2) [ 2a +/- √(4a² - 4(a² - b)]
= a +/- (1/2)*√(4b)
= a +/- √b
x = a + √b, or x = a - √b, as expected.
