Answer:
<h3>n = -8</h3>
Step-by-step explanation:
For two lines to be parallel, they must have the same slope
Get the slope of each line
For L1;
m1 = -2-4/1-n
m1 = -6/1-n
For L2;
m2 = 5-3/1-4
m2 = 2/-3
m2 = -2/3
Since they have the same slope, m1 = m2
-6/1-n = -2/3
6/1-n = 2/3
Cross multiply
2(1-n) = 6(3)
2-2n = 18
-2n = 18 - 2
-2n = 16
n = -16/2
n = -8
Hence the value of n is -8
If you want to solve that put it in the formula to find the slope
M=
Y1-y2
---------
X1-x2
And plug that into slope int form with one of the points to find the y int/ b value and then your have ur equ
Answer:
9) 6.3 units
11) n=6√2 and m=12,
10) m=6√3, n=6
12) 330.6 ft
Step-by-step explanation:
1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.
Let the missing side, which is the hypotenuse be x.
Then
The missing side is 6.3 units to the nearest tenth.
2) This is an isosceles right triangle.
This implies that, the two legs are equal.
The hypotenuse can be found using Pythagoras Theorem.
3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x
From the diagram, the hypotenuse is 12, therefore the other two legs are
and
4) The height of the monument is 115 feet, the hypotenuse is 350.
By Pythagoras Theorem,
A = P (1 + r/n)^nt
A = 4000(1 + 0.05/1)^(13)(1)
A = $7542.59