To find the inverse of a function, replace x and y in the equation and solve for y. In our case...
x=2y-10
x+10=2y
y=x/2+5
To understand problems like these, we must understand how Slope Intercept Form (SIF) works, and how to solve an equation.
<span>A
</span>SIF is "y=mx+b" where "m" is the slope and "b" is the y-intercept.
y='m'x+''b''
y='3'x-''4''
We can see that in this equation, the slope is 3/1 or 3, and the y-intercept is -4.
<u>B
</u>For this one, we must solve for "y," and then proceed with the same thing we did in Part A.
4x-5y=15
-4x -4x
-5y=-4x+15
/-5 /-5
y='4/5'x-"3"
Using the math above, we can see that the slope is 4/5, and the y-intercept is -3.
Answer:
Basic Of Algebra. Basics of Algebra cover the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0. This introduces an important algebraic concept known as equations. Step-by-step explanation:
Answer:
BC = 8 and EF = 8.
Step-by-step explanation:
Since triangle ABC and DEF are congruent to each other, BC corresponds with EF (as determined by the triangle names).
Set BC and EF equal to each other.
x + 6 = 3x + 2
Subtract x from both sides.
6 = 2x + 2
Subtract 2 from both sides.
4 = 2x.
Divide 2 on both sides.
x = 2.
Substitute 2 for x.
BC = 2 + 6
BC = 8
Since we already know that EF is congruent to BC, EF is also 8.
EC = 3(2) + 2
EC = 6 + 2
EC = 8
