(9x - 5y)(2x + 3y)
9x(2x + 3y) - 5y(2x+ 3y)
9x(2x) + 9x(3y) - 5y(2x) - 5y(3y)
18x² + 27xy - 10xy - 15y²
18x² + 17xy - 15y²
Answer:
applying trigonometry
base= 30inches
height= 50inches
angle between ladder and ground = 59.04°
for the length of the ladder...
sin59.04 = opposite side ÷ hypotenuse
sin59. 04 = 50inches ÷ hypotenuse
0.8575 = 50 inches ÷ hypotenuse
cross multiply;
hypotenuse = 50inches ÷ 0.8575
the length of the ladder = 58.309inches
Answer:
d = -60
Step-by-step explanation:
Given:
-1/4d - 2/5d = 39
-5d-8d/20 = 39
-13/20d = 39
Divide both sides by -13/20
d = 39 ÷ -13/20
= 39 × -20/13
= -60
d = -60
Answer:
21, You have to subtract 67 by 18, then multiply 7 by 3 then divide together both of their answers.
There are two ways to solve system of equations.
1) substitution method
2) elimination method
4x - y = -6
x - 2y = -5
For thus problem, i'll be using the substitute method.
So, using the equation x - 2y = -5:
Solve for "x" by adding 2y to both sides of the equation.
x = 2y - 5
Now we know what "x" is, we can substitute it in the other equation.
4x - y = -6
4(2y - 5) - y = -6
8y - 20 - y = -6
7y - 20 = -6
7y = 14
y = 2
We now know the numerical value of y. So, all we have to do is plug in y into either system of equation to solve for the numerical value of x.
4x - 2 = -6 x - 2y = -5
4x = -4 x - 2(2) = -5
x = -1 x - 4 = -5
x = -1
The solution is (-1, 2) where x equals -1 and y equals 2.