Answer:
h = -2
Step-by-step explanation:
Just plug it into a calculator
You can make an equation for each situation where x is the number of bags and y is equal to the total number of oranges.
5x + 1 = y
4x + 3 = y
With substitution: 5x + 1 = 4x + 3
Solve for x.
5x - 2 = 4x
x - 2 = 0
x = 2
There is 2 bags, so plug that into either equation:
4x + 3 = y
y = 4*2 + 3
y = 11 oranges
Do you mean the hypotenuse of the triangle?
If so, you can use pythagorean theorem:
a^2 + b^2 = c^2
11^2 + 8^2 = c^2
121 + 64 = 185 = c^2
c = sqrt(185) = 13.6
AC = √(40²-12²) = √(1600-144) = √1456 = 4√91
tanA = 12/4√91 = 3/√91 = 3√91/91
option а.
Answer:
All real numbers; the simplification is described below.
Step-by-step explanation:
5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13
Let's keep in mind PEMDAS (the order of operations) to simplify and solve this. First, we'll distribute inside each set of parenthesis!
5(-3x) + 5(-2) -1(x) -1(-3) = -4(4x) -4(5) + 13
See how we've taken the outer term on the outside of the parenthesis and multiplied it to each term inside the parenthesis. Simplify further.
-15x - 10 - x + 3 = -16x - 20 + 13
Now we can combine like terms! I will bold the terms I am combining.
-15x - 10 - x + 3 = -16x - 20 + 13 (combining the x terms on the left)
-16x - 10 + 3 = -16x - 20 + 13 (combining the constants on both sides)
-16x - 7 = -16x - 7
Aha! It looks like we have an equation that's literally equal to itself. If we were to simplify this, or put in any number, we'd get that number equals itself. For example:
-16(1) - 7 = -16(1) - 7
-16 - 7 = -16 - 7
-21 = -21
Any number you put in here will make the equation true, so these lines must be the same line. That means the solution is all real numbers.