M = (y2 -y1)/(x2-x1)
m = (10 -5 )/(2+3)
m = 5 / 5
m = 1
using y = mx + b passing <span> through (−3, 5)
5 = 1(-3) + b
5 + 3 = b
so b = 8
equation
y = x + 8
answer: </span><span>y = x + 8 (first choice)</span>
Answer: y = (xm)/3 + b
Step-by-step explanation:
1. Multiply m on both sides
x × m = 3(y - b)
2. Divide by 3 on both sides
(xm)/3 = y - b
3. Add b on both sides
y = (xm)/3 + b
Let the unknown angle be x.
That is
sin x = 4/5
cos x = 3/5
By drawing a right triangle in the first quadrant,
hypotenuse = 5
Adjacent side = 3
opposite side = 4
That is tan x = 4/3
From the calculator,
x = arctan(4/3) = 53 deg (nearest integer)
Answer: 53 deg. (nearest integer)
Answer:
The inverse function is f(x) = x^2 - 3
Step-by-step explanation:
To find the inverse of any function, start by switching the x and f(x) values.
f(x) = √(x + 3)
x = √(f(x) + 3)
Now solve for the new f(x). The result will be your inverse function.
x = √(f(x) + 3)
x^2 = f(x) + 3
x^2 - 3 = f(x)
A star is written to show multiplication. It is a replacement for a dot or a x which is what you probably learned to be the "times" sign. In upper level maths, the "x" is replaced with a " * " to make it more legible and to avoid confusion with the variable "x".
