If you're looking for the solution to the system of equations, here's how we solve using substitution
We know that y = x - 1, so we can plug that into the first equation giving
2x - 3(x-1) = -1
Now distribute the 3 giving 2x - 3x + 3 = -1. After combining like terms we get -x + 3 = -1. Now subtract 3 from both sides, -x = -4, and multiply both sides by -1 to make x positive. x = 4
Now we can plug that into the second equation to get y
y = x - 1, and we know that x = 4, so y = 4 - 1, y = 3. The solution is (4, 3)
Does 2 is included in the square root?
sq.rt (44/2) ? or (sq.rt 44)/2
Area of the base = 1/2 * 10 * 5sqrt3 = 25 sqrt3
Total surface area = 25 sqrt3 + 3 * 1/2 * 10 * slant height = 214.5
25 sqrt3 + 15h = 214.5
15h = 214.5 - 25 sqrt3
h = (214.5 - 25sqrt3() / 15
= 11.41 cm to nearest hundredth
Answer:
D. (14x-4)/(8x^2) and (x^2-x)/(8x^2)
Step-by-step explanation:
The least common denominator will be 8x^2, the product of 2 and x to the highest of their powers in either of the denominators.
Answer: Area is 20
Step-by-step explanation:
Perimeter of a rectangle is 24
Let the length be x
Let the breadth be Y
Length is 5times the breadth
I.e
X=5y
Formula for perimeter of a rectangle is
2(length + breadth)
= 2(x+y)
Substitute for x=5y
2(5y+y)=24
2(6y)=24
6y=24/2
6y=12
Y=12/6
Y=2
Breadth = 2
Since length =5y
Length=5(2)
Length = 10
Area of a rectangle = length × breadth
Area= 10×2
Area = 20
Area of the rectangle is 20
