Answer:
x^ -10 or 1/x^10
Step-by-step explanation:
Divide the miles by the gallons used for each car to find the miles per gallon, then compare them:
Blue car: 18 2/5 miles / 0.8 gallons = 23 miles per gallon.
Red car: 17 2/5 miles / 0.7 gallons = 24.86 miles per gallon.
The red car can travel farther on 1 gallon of gas.
Answer: b=2(square root of 2) and a=4
Step-by-step explanation:
Since this is a 45-45-90 triangle we know that side b is equal to 
.
In a 45-45-90 triangle, the hypotenuse is equal to 
this means in order to find missing side length a, we have to multiply 
this will give us 4
so the missing side lengths are, and 
2 (a): <span>Lena's method is correct
</span> (b) Explanation: - We can explain that she was correct by checking the equation. In order to check that, we have to put the values of x and y.
4y = 3x + 7
Substitute for y = 10, x = 11 [ Lena's answers ]
4(10) = 3(11) + 7
40 = 33 + 7
40 = 40 [ L.H.S. = R.H.S ]
Now, checking with 2nd equation,
9x + 4y -139 = 0
9(11) + 4(10) - 139 = 0
99 + 40 - 139 = 0
139 - 139 = 0
0 = 0 [ L.H.S. = R.H.S ]
As L.H.S. is equal to R.H.S. for both equation, She was correct
3) a) System of equations would be:
x + y = 1
x - y = 11
b) Solving the equation,
Take 2nd equation,
x - y = 11
x = 11 + y
Now, substitute it in 1st equation.,
x + y = 1
11 + y + y = 1
2y = 1 - 11
y = -10 / 2
y = -5
Substitute it in 2nd equation,
x - y = 11
x - (-5) = 11
x + 5 = 11
x = 11 - 5
x = 6
In short, x is equal to 6, and y is equal to -5
Hope this helps!
