Answer:
see explanation
Step-by-step explanation:
Given
x² - 9x + 4 = 0 ( subtract 4 from both sides )
x² - 9x = - 4
Using the method of completing the square
Add ( half the coefficient of the x- term )² to both sides
x² +2 (- 
)x + 
= - 4 +
(x - )² = 
Take the square root of both sides
x - = ± 
= ± 
Add to both sides
x = ± ← exact solutions
Answer:
2x - 3y = -1
Step-by-step explanation:
Standard form: Ax + By = C
Given: slope = 2/3 and passes through the point (1,1)
Point slope form: y - y1 = m(x - x1)
Plug in
y - 1 = 2/3(x - 1)
Multiply both sides by 3
3(y - 1) = 2(x -1)
Distributive property
3y - 3 = 2x - 2
Since standard form: Ax + By = C so you can re-write the equation:
2x - 2 = 3y - 3
Subtract 3y from both sides
2x - 3y = -3
Add 2 to both sides
2x - 3y = -1
Answer in standard form: 2x - 3y = -1
Let 's' be the allowed speed.
If the maximum speed is 70 and the minimum is 40, we know 's' is between these two values inclusively, i.e. 40 ≤ s ≤ 70
*Remember for inequality symbols, whether strict or inclusive, the term on narrow side is "less than" the term on the broad side
Answer:
The flag pole is 38.96 feet tall.
Step-by-step explanation:
The angle of depression from the top of the flagpole to an object on the ground is 33°.
The object is 60 feet from the base of the cliff.
We need to find the height of the flag pole.
Here, base, B = 60 feet
We know that,
Put all the values to find P.
So, the flag pole is 38.96 feet tall.
I'm not entirely sure about these, and the last one was tricky but i hope this helped.
