Answer:
y = 5x - 7
Step-by-step explanation:
Using the equation of a line with two points
y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1
Giving two points
( -4 , 10)(16 , -2)
x_1 = -4
y_1 = 10
x_2 = 16
y_2 = -2
Using the above formula
y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1
-12 - 3 / -1 - 2 = y - 3 / x - 2
-15/-3 = y - 3 /x - 2
Cross multiply
-15(x - 2) = -3(y - 3)
-15x + 30 = -3y + 9
-15x + 30 + 3y - 9 = 0
-15x +30 - 9 + 3y = 0
-15x + 21 + 3y = 0
3y = 15x - 21 ( following y = mx + C
Dividing through by 3 to find y
3y/3 = 15x -21 / 3
y = 15x - 21 / 3
We can still separate
y = 15x / 3 - 21/3
y = 5x - 7
Therefore, the equation of the line is
y = 5x - 7
Answer:
a=25
Step-by-step explanation:
Solve by subtracting 3 from both sides.
a/5=5
Multiply both sides by 5.
a=25
Answer:
1.25% monthly interest
Step-by-step explanation:
15% yearly interest
1.25% monthly interest
(15/100)/12=0.0125=1.25%
Answer:
15
Step-by-step explanation:
Simplify the following:
5 + 5×2
5×2 = 10:
5 + 10
5 + 10 = 15:
Answer: 15
Answer:
Step-by-step explanation:
cot(x)=cos(x)/sin(x)
sin(x) + cos(x) * cos(x)/sin(x) = 1/f(x)
(sin^2 + cos^(x))/sin(x) = 1 / f(x)
1 / sin(x) = 1 / f(x)
Taking the reciprocal of both sides, we get
sin(x) = f(x)