A. slope = 2/3
B. slope =3/2
C. slope = 2
4xy + 8 = 36
A.
(7, 1) and (3, 2)
B.
(1, 7) and (7, 1)
C.
(1, 7) and (4, 9)
D.
(4, 9) and (3, 2)
2)
Which of the ordered pairs in the form (x, y) is a solution of this equation?
5x - y over 3 = 13,
(2, -9) (3, -6)
A.
The first is not a solution, but the second is.
B.
Both are solutions.
C.
The first is a solution, but the second is not.
D.
Neither is a solution.
3)
Which ordered pairs in the form (x, y) are solutions to the equation
7x – 5y = 28?
Choose all answers that are correct.
A.
(−6, −14)
B.
(−1, −7)
C.
(4, 10)
D.
(7, 9)
Answer:
1) 170,000
2) 446,220
3) 50,000
4) 7,800
Step-by-step explanation:
When we round a number to the nearest hundred then we check the digit at tens place,
If the digit is less than 5 then the number is rounded to previous thousand and if it is 5 more than 5 it is rounded to the next thousand,
While, in the case of rounding nearest ten and ten thousand we check the digit at ones place and thousand placerespectively.
1)168,356 to the nearest ten thousand is 170,000 ( ∵ thousand place digit = 8 > 5 )
2) 446,221 to the nearest ten is 446,220 ( ∵ ones place digit = 1 < 5 )
3) 45,122 to the nearest ten thousand is 50,000 ( ∵ thousand place digit = 5 ≥ 5 )
4) 7,782 to the nearest hundred is 7,800 ( ∵ tens place digit = 8 > 5 )
Subtracting the same value from both sides of an inequality changes the solution set.
When dividing both sides of an inequality by the same positive value, it is necessary to reverse the inequality sign.
When multiplying both sides of an inequality by the same negative value, it is not necessary to reverse the inequality sign.
The statement which is true about solving inequalities is; Adding the same value to both sides of an inequality does not change the solution set.
Discussion:
Similar to equations, when solving inequalities; adding or subtracting the same value to both sides of an inequality does not change the solution set of the inequality.
In essence, the statement which is true about solving inequalities is; Adding the same value to bothsides of an inequality does not change the solution set.
Read more on inequalities:
Answer:
Adding the same value to both sides of an inequality does not change the solution set
Answer:
y = 4.4 cm
Step-by-step explanation:
Notice that we are in the presence of a right angle triangle. were we know the angle , the side opposite that angle (12 cm), and we need to find the value of the side adjacent to the angle.
the trigonometric relation between opposite and adjacent sides is given by the tangent of the angle as shown:
so, we can solve for the unknown "y" in this equation as follows:
which rounded to the nearest tenth as requested gives: 4.4 cm
Answer:
y = 4.4
Step-by-step explanation:
Notice that we are in the presence of a right angle triangle. were we know the angle 70, the side opposite that angle (12 cm), and we need to find the value of the side adjacent to the 70 angle.