Answer:
D
Step-by-step explanation:
Slope is (1/8) and y intercept can be found by setting x=0.
You use a system of equations to solve this.
x will be one integer and y will be the other.
2y - 7 = x
x^2 + y^2 = 433
You can plug (2y - 7) in for x in the second equation.
(2y - 7)^2 + y^2 = 433
4y^2 - 28y + 49 + y^2 = 433
5y^2 - 28y -384 = 0
y = 12 or -32/5
It has to be 12 since -32/5 is not an integer.
Plug 12 in for y to get x.
2(12) - 7 = x
x = 17
The integers are 12 and 17.
Answer:
hi :P
Step-by-step explanation:
Statement: If p, then q
Inverse: If q, then p
Converse: If not p, then not q
Contrapositive: If not q, then not p.
We can see from the statement that p = brush teeth twice a day and q = not get cavities.
Thus:
Inverse: If I don't get cavities, then I brush my teeth twice a day. FALSE (for example, I might floss extra well instead. Brushing my teeth twice a day is not the only way to avoid cavities)
Converse: If I don't brush my teeth twice a day, then I get cavities. FALSE (for example, I might not eat a lot of sugar and thus I don't get cavities)
Contrapositive: If I get cavities, then I did not brush my teeth twice a day. TRUE
If this confuses you, try the example of p = cat and q = four legs. (i.e. the statement is If this is a cat, it has four legs). Try making the inverse, converse, and contrapositive, and see the truth of those statements.
Answer:
c = 74
d = 122
a = 58
b = 48
Step-by-step explanation:
C: a triangle always equals to 180, so 48 + 58 - 180 = 74
D: Angels next to each other on a line always equal to 180, so 180 - 58 = 122
A: Alternating interior angles of a parallel line equal to each other, so it would also be 58
B: A line is 180, so C + A - 180 = B, 74 + 58 - 180 = 48
