Answer:
No, the expression are not equivalent.
Step-by-step explanation:
No way to simplify 3 + y so we leave it as is. Let's look at 
If we expand using distributive property we get:
3 + y does not equal to 2 + y/3.
Answer:
(x,y) = (6/5, 38)
Step-by-step explanation:
y = y right?
so, you just substitute both of those equations
26+10x = 44-5x
26 -44 = -5x -10x
x = 6/5
then substitute x into ANY of these two equations
let's say we want the second one
y = 44 - 5 × 6/5
y = 38
I'm not sure but I think that first number there might be a 20 and not a 26. If that's true then, solving the same way you'd have
(x,y) = (8/5, 36)
The segment inside the large triangle is B: Altitude.
How to solve your problem
x^{2}-21=100
Quadratic formula
Factor
1
Move terms to the left side
x^{2}-21=100
x^{2}-21-100=0
2
Subtract the numbers
x^{2}\textcolor{#C58AF9}{-21}\textcolor{#C58AF9}{-100}=0
x^{2}\textcolor{#C58AF9}{-121}=0
3
Use the quadratic formula
x=\frac{-\textcolor{#F28B82}{b}\pm \sqrt{\textcolor{#F28B82}{b}^{2}-4\textcolor{#C58AF9}{a}\textcolor{#8AB4F8}{c}}}{2\textcolor{#C58AF9}{a}}
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
x^{2}-121=0
a=\textcolor{#C58AF9}{1}
b=\textcolor{#F28B82}{0}
c=\textcolor{#8AB4F8}{-121}
x=\frac{-\textcolor{#F28B82}{0}\pm \sqrt{\textcolor{#F28B82}{0}^{2}-4\cdot \textcolor{#C58AF9}{1}(\textcolor{#8AB4F8}{-121})}}{2\cdot \textcolor{#C58AF9}{1}}
4
Simplify
Evaluate the exponent
Multiply the numbers
Add the numbers
Evaluate the square root
Add zero
Multiply the numbers
x=\frac{\pm 22}{2}
5
Separate the equations
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
x=\frac{22}{2}
x=\frac{-22}{2}
6
Solve
Rearrange and isolate the variable to find each solution
x=11
x=-11
Answer:
Step-by-step explanation:
We want to find the sum of all even numbers from 0 to 175.
The series will be:
The explicit formula for this is 
, where 
.
We need to find how many terms are there.
The sum of terms is given by:
Substitute n=88, 
and l=174 to get:
