Answer:By 8(4)P.5, the slope of the line equally inclined to axes is tan(±45
o
)=±1. Hence by P+λQ=0,
5λ+3
2λ+4
=±1
⇒λ=
3
1
,−1. Putting for λ, the two lines are
x−y=0,x+y−2=0.
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Answer:
<h2> 7.3%</h2>
Step-by-step explanation:
Using the formula for calculating the simple interest to get the rate of return;
Simple Interest = Principal * Rate * Time/100
Given Principal = $450,
Time (in years) = 1 year
Simple interest = $32.75
Rate (in %) =?
Substituting the given values in the given formula to get the rate;
32.75 = 450*1*R/100
450R = 3275
R = 3,275/450
R = 7.3%
The rate of return is 7.3%
Answer:
x>3
Step-by-step explanation:
8x-6>12+2x
Subtract 2x from both sides:
6x-6>12
Add 6 to both sides:
6x>18
Divide both sides by 6:
x>3
Hope this helps!
Answer:
80 feet.
Step-by-step explanation:
Given:
The length of a rectangular garden is 10 yards and its width is 10 feet.
To find:
Perimeter of the garden in feet ?
Solution:
Length = 10 yards
1 yard = 3 feet
10 yards = 3
10 = 30 feet
Breadth = 10 feet
Now, as we know:


Hence, the perimeter of the garden is 80 feet.
Answer:
C
Step-by-step explanation:
The correct answer is C, -1. This is because slope formula is y2-y1/x2-x1. When you put that in you get 3-7/2-(-2) which equals -4/4, or -1.