Just times everything by something
examples
10/12
20/24
Answer:
The polynomial -gh⁴i + 3g⁵ is a binomial, since it has two terms
Degree of polynomial: degree of a polynomial is the term with highest of exponent.
Degree of binomial -gh⁴i + 3g⁵ = 6
1st term(-gh⁴i ) = (power of g = 1, power of h = 4, power of i = 1)
2nd term(3g⁵) = (power of g = 5)
the polynomial -gh⁴i + 3g⁵ is a 6 degree binomial.
Answer:
8.6 to the nearest tenth.
Step-by-step explanation:
Using the distance formula d = √ [(y2 - y1)^2 + (x2 - x1)^2] where (x1, y1) and (x2, y2) are the two endpoints.
= √ (4 - -3)^2 + (-3-2)^2
= √(49 + 25)
= 8.60
Answer: B) Infinitely many solutions; both equations are equivalent
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Work Shown:
x+y = 4 ... start with the first equation
x + (-x+4) = 4 ... replace y with (-x+4)
x-x+4 = 4
0x+4 = 4
0+4 = 4
4 = 4 ... this is a true statement regardless of what x you pick
So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.
Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.
