Answer:
The number is 5.
Step-by-step explanation:
The product of 5 and 4 more than a number = 9 times the number
Let the number be x;
5(4 + x) = 9x
20 + 5x = 9x
4x = 20
x = 20/5
x = 5.
Answer:
The property of polynomial addition that says that the sum of two polynomial is always a polynomial is called closure property of addition or under addition.
Polynomials are closed under addition because when you add polynomials the letters and their exponents do no change, you just add the coefficients of the like terms (those with same letters raised to the same exponents), so the result will be other polynomial of the same kind, except for the terms that cancel (positive with negative) which does not change the fact that the result is still a polynomial.
In mathematics the closure property means that the result of an operation over a kind of "number" will result in a "number" of the same kind.
Answer:
PR = 5 because LP + PR = LR according to the Segment Addition Postulate, and 7 + 5 = 12 using substitution
Step-by-step explanation:
The naming of the segments suggests that point P is between L and R, so that ...
LP + PR = LR
This corresponds to the last choice.
_____
<em>Comments on the alternate interpretation</em>
On the other hand, if point L is between P and R, then the segments are PL and LR. The Segment Addition Postulate would tell you that ...
PL + LR = PR
The Reflexive Property of Congruence would tell you that PL = LP. The Substitution Property would tell you LP can be substituted into this equation, making it ...
LP + LR = PR
and by the commutative property, ...
LR + LP = PR.
Multiple properties of addition and congruence are involved with this interpretation, which more or less matches the third choice. That is, the simple explanation of answer choice 3, by itself, is insufficient to explain why the length of PR should be considered to be 19, not 5.
Answer:
(-4,-3)
Step-by-step explanation:
The x value is -4 and the y value is -3
Answer:
$24.04
Step-by-step explanation:
3 x $16.99 = $50.97
1 x $24.99 = $24.99
$24.99 + $50.97 = $75.96
$100 - $75.96 = $24.04
