Answer:
The length of the ladder is 14.5 ft
Step-by-step explanation:
For a right triangle
sinx = opposite / hypotenuse
Since we know the angle and the opposite side, we can calculate the hypotenuse
sin 64 = 13/ hypotenuse
Multiply each side by the hypotenuse
hypotenuse * sin 64 = 13
Divide by sin 64
hypotenuse = 13/sin 64
hypotenuse=14.4638
Rounding to the nearest tenth
14.5
Apples are $0.68 and peaches are $0.42.
To find these values, we need to write and solve the following system of equations.
6x + 9y = 7.86
4x + 5y = 4.82
Multiply the first equation by 2 and the second by -3.
12x + 18y = 15.72
-12x - 15y = 14.46
Add the equations together.
3y = 1.26
y = 0.42
Sub in 0.72 and solve for x in either equation and you will get x = 0.68.
Yes you are correct! It doesn't have a solution which means no solution, hope this helps! :D
Answer:
X=9 and X=5
Step-by-step explanation:
So you want to get one side to equal zero so you can factor and find x. I recommend subtracting 14x and adding 45 to both sides so you don't have to deal with a negative quadratic.
X^2 - 14X +45 = 0
Now you can factor. Your looking for two factors that equal 45 and add to -14
All factors of 45:
1 and 45, 3 and 15, 5 and 9, -1 and -45,
-3 and -15, -5 and -9
So out of those combinations -5 and -9 both multiply to 45 and add up to -14 so these are our common factors
(X-5)(X-9)=0
X-5=0 add 5 to both sides X=5
X-9=0 add 9 to both sides X=9
Step-by-step explanation:
x + y = 3 ---------------- eqn 1
y = -6x + 3 ------------- eqn 2
Substitute y for -6x + 3 in equation 1
x + -6x + 3 = 3
x - 6x + 3 = 3
-5x + 3 = 3
Collect like terms
-5x = 3 - 3
-5x = 0
Divide both sides by -5
x = 0
Hope this helped!
