Answer:
So just as a fraction of 3/30 can be simplified to 1/10, a ratio of 3:30 (or 4:40, 5:50, 6:60 and so on) can be simplified to 1:10.
Step-by-step explanation:
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)
I believe it is going to be 60
The answer is D)You Can draw straws 12 times with 12 long straws an 4 short straws.
- Natural numbers will Always be whole numbers.
Natural numbers are positive integers (whole numbers), so, they are always whole numbers.
- Integers will Sometimes be natural numbers.
Not all integers are natural numbers. Negative integers are not natural numbers while positive integers are natural numbers.
- Irrational numbers will Always be real numbers.
Real numbers consist of both irrational and rational numbers. So, all irrational numbers are real numbers.
- Rational numbers will Never be irrational numbers.
Rational numbers and irrational numbers are two different types of real numbers.
- Rational numbers will Sometimes be integers.
Not all rational numbers are integers. there are some rational numbers that are not integers while some rational numbers are integers.
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