Answer:
Second choice, 3
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + b^2 = 5^2
16 + b^2 = 25
b^2 = 9 (square root both sides)
b = 3
Answer:
(8, 5) (Answer C)
Step-by-step explanation:
Write this system of linear equations in a (vertical) column:
4x - 3y = 17
5x + 4y = 60
Let's eliminate y through addition/subtraction:
Multiply 4x - 3y = 17 by 4, obtaining 16x - 12y = 68, and
multiply 5x + 4y = 60 by 3, obtaining 15x + 12y = 180. Then we have:
16x - 12y = 68
15x + 12y = 180
----------------------
31x = 248, and so x = 248/31 = 8.
Now find y. Substitute 8 for x in 5x + 4y = 60: 5(8) + 4y = 60, or
4y = 60 - 40 = 20.
Thus, y = 20/4, or y = 5.
The solution is (8, 5) (Answer C)
Have two ways: 1. Reflects with respect x-axis and later with respect y-axis.
2. The opposite: first with respect y-axis and later with respect x-axis.
B and D are correct.
Answer:
CASH = 7284
Step-by-step explanation:
MATHEMATICS = 12345123678
CASH = ?
Find what number the letters represent:
M = 1
A = 2
T = 3
H = 4
E = 5
I = 6
C = 7
S = 8
Then, replace the numbers in the word CASH:
C = 7
A = 2
S = 8
H = 4
Therefore, the number is 7284.
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