Remember (a²-b²)=(a-b)(a+b)
solve for a single variable
solve for y in 2nd
add y to both sides
x²-7=y
sub (x²-7) for y in other equaiton
4x²+(x²-7)²-4(x²-7)-32=0
expand
4x²+x⁴-14x²+49-4x²+28-32=0
x⁴-14x²+45=0
factor
(x²-9)(x²-5)=0
(x-3)(x+3)(x-√5)(x+√5)=0
set each to zero
x-3=0
x=3
x+3=0
x=-3
x-√5=0
x=√5
x+√5=0
x=-√5
sub back to find y
(x²-7)=y
for x=3
9-7=2
(3,2)
for x=-3
9-7=2
(-3,2)
for √5
5-7=-2
(√5,-2)
for -√5
5-7=-2
(-√5,-2)
the intersection points are
(3,2)
(-3,2)
(√5,-2)
(-√5,-2)
Write the number like 234,567
The triangles are similar, they aren't congruent (identical) though as we don't know if they share a common side
Considering that each input is related to only one output, the correct option regarding whether the relation is a function is:
A. yes.
<h3>When does a relation represent a function?</h3>
A relation represents a function when each value of the input is mapped to only one value of the output.
For this problem, we have that:
- The output is an activity.
There are no repeated inputs, hence the relation is a function and option A is correct.
More can be learned about relations and functions at brainly.com/question/12463448
#SPJ1
Answer:
x = 1
Step-by-step explanation:
We will represent the unknown number as x
10 - x = 8 + x
Add x to both sides
10 - x + x = 8 + x + x
10 = 8 + 2x
Subtract 8 from both sides
10 - 8 = 2x
2 = 2x
Divide both sides by 2
1 = x
x = 1
