Answer:
Answer in explanation.
Step-by-step explanation:
Lets take
as L1.
Take L2 the line perpendicular to L1.
Standard form of equation of line:
y=mx+c, where m = slope and c = y-intercept.
Since L1 and L2 are perpendicular,
mL1 x mL2 = -1
Substitute mL1 into the equation,
3/4 x mL2 = -1
mL2 = -1 ÷ 3/4
mL2 = -4/3
L2 : y = mx+ c
Substitute y = 6, x = 8 and m = -4/3 into the equation,
therefore L2:
Lets take L3 as the line parallel to L1.
Since L3 and L1 are parallel,
mL3 = mL1 = 3/4
equation of line: y = mx+c
substitute y = 6, x = 8 and m = 3/4 into equation.
therefore L3:
Answer:
A. 5s+2
B. 8s+8
C. 75
D. 27
Step-by-step explanation:
Is difficult to read the exact expressions. If a mistake is present then fix the number and use the same method.
A. The perimeter of the square is all 4 equal sides added together. The length of a side is 
. Since there are four sides then:
Adding 1/4+1/4+1/4+1/4=1. This applies here leaving 5s+2 as the answer.
B. The perimeter of the rectangle is all four sides added together. A rectangle has two pairs of equal side so P = 2l+2w.
C. If s=5 then the sum of the two perimeters is:
5s+2+8s+8
5(5)+2+8(5)+8
25+2+40+8
75
D. Subtract the two perimeters by computing s=7:
8s+8 -(5s+2)
8s+8-5s-2
8(7)+8-5(7)-2
56+8-35-2
64-35-2
29-2
27
Answer:
5
Step-by-step explanation:
6 - 3 = 3
√4 = 2
3 + 2 = 5
Answer:
137.5 Miles
Step-by-step explanation:
2 = 50 Right? So if you were to divide 50 by 2, you would get 1 = 25. All you would have to do from there would be to multiply 25 times 5.5 to get 137.5.
Answer:
-499,485.
Step-by-step explanation:
We can transform this to an arithmetic series by working it out in pairs:
6^2 - 7^2 = (6-7)(6+7) = -13
8^2 - 9^2 = (8-9)*8+9) = -17
10^2 - 11^2 = -1 * 21 = -21 and so on
The common difference is -4.
The number of terms in this series is (998 - 6) / 2 + 1
= 992/2 + 1 = 497.
Sum of n terms of an A.S:
= n/2 [2a1 + (n - 1)d
Here a1 = -13, n = 497, d = -4:
Sum = (497/2)[-26 - 4(497-1)]
= 497/2 * -2010
= -499,485.
