Answer:
no i dont think so becuse they can still be angeled in all diffrent directions
Step-by-step explanation:
<u>Question 8</u>
a^2 + 7a + 12
= (a+3)(a+4)
When factorising a quadratic, the product of the two factors should equal the constant term (12), and the sum of the two factors should equal the linear term (7). To find the two factors, list out the factors of 12 (1x12, 2x6, 3x4) and identify the pair that adds up to 7 (3+4).
An alternative method if you get stuck during your exam would be to solve it algebraically using the quadratic formula and then write it in the factorised form.
a = (-7 +or- sqrt(7^2 - 4(1)(12)) / 2(1)
= (-7 +or- sqrt(1))/2
= -3 or -4
These factors are the negative of the values that would go in the brackets when written in factorised form, as when a = -3 the factor (a+3) would equal 0. (If it were positive 3 instead, then in the factorised form it would be a-3).
<u>Question 10</u>
-3(x - y)/9 + (4x - 7y)/2 - (x + y)/18
Rewrite each fraction with a common denominator so you can combine the fractions into one.
= -6(x - y)/18 + 9(4x - 7y)/18 - (x + y)/18
= (-6(x - y) + 9(4x - 7y) - (x + y)) /18
Expand the brackets and collect like terms.
= (-6x + 6y + 36x - 63y - x - y)/18
= (29x - 58y)/18
= 29/18 x - 29/9 y
Answer:
149.30ft
Step-by-step explanation:
Since the vertical distance between the two tower = 40ft
The angle of elevation from the lower tower to te higher tower = 15°
The horizontal distance between the two towers = x
Assuming the angle of elevation and the distance between the two towers makes a right angle triangle, we can use SOHCAHTOA and determine which one would be suitable to find x.
Check attached document for better illustration of the triangle.
Tanθ = opposite / adjacent
Opposite = 40
θ = 15°
Adjacent = x
Tan15 = 40 / x
0.2679 = 40 / x
X = 40 / 0.2679
X = 149.30ft
The horizontal distance between the two towers is 149.30ft
ANSWER
1. k=13
2. x=-10
EXPLANATION
The given function is

To find f(x+5), plug in (x+5) wherever you see x.
This implies that:

Expand:

Simplify to obtain

We now compare with,

This implies that:

To find the smallest zero of f(x+5), we equate the function to zero and solve for x.





The smallest zero is -10.