Answer:
Width=10
Length=18
Step-by-step explanation:
The length is 2 feet less then twice the width
Let the width be x.
Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.
x(2x-2)=180
2x^2 - 2x - 180 = 0
2( x^2 - x - 90) = 0
We now have a factorable quadratic.
2(x+9)(x-10)=0
So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.
So x=10
Then the width is 10 and the length is 18
Hope this helps! Let me know if it is correct!
Answer:
x = 2.5
Step-by-step explanation:
4x-1/2 = x+7
4x-x = 7+0.5
3x = 7.5
x = 2.5
Answer:
Y=8x-4
Step-by-step explanation:
2x -1/4y= 1
2x -1 = 1/4 y
4(2x -1) =y
8x -4 = y
MAYBE 1 AND 0 ISA NATURAL NUMBER
we are given

Firstly, we will simplify left side
and then we can solve for k
Left side is

we can arrange like terms



now, we can use property of exponent



now, we can equate it with right side
and we get

We can see that both sides have 30 , a and b
and they are equal
so, exponent of a must also be equal

now, we can solve for k

................Answer