Answer:
An equation that is satisfied for every value of the variable for which both sides of the equation are defined is called an identity. Conditional equations are true for some values of the variable and false for others. Contradictions are false for all values of the variable.
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
the number in front of the variable is the coefficient
area of rectangle = L x w
area = 8 sq ft
w= L-2
so 8 = L *L-2
8 = l^2-2l
l^2 -2l-8 = 0
(l-4) (l+2)=0
Length = 4 feet
Width = 2 feet
The trick here is that both times, part of the weight is soup
and part of the weight is the empty metal can.
1/2 soup + MTcan = 5
1/3 soup + MTcan = 4
Before going any further, it will make it a lot easier later if we change
the fractions in both equations to a common denominator:
1/2 = 3/6
1/3 = 2/6
3/6 soup + 1 MTcan = 5
2/6 soup + 1 MTcan = 4
Subtract the 2nd equation from the 1st one:
1/6 soup = 1
Multiply each side by 6 : <u>1 soup = 6</u>
Substitute this in the first equation:
1/2 soup + 1 MTcan = 5
1/2 ( 6 ) + 1 MTcan = 5
3 + 1 MTcan = 5
Subtract 3 from each side: <u>1 MTcan = 2</u>
The empty can weighs 2.
All the soup it can hold weighs 6.
A full can of soup weighs (2 + 6) = <em><u>8</u></em>
Let the length of the altitude be x, then
x / 13 = 11 / x [taking account the similarity of the two formed triangles]
x^2 = 13 x 11 = 143
x = sqrt(143)