Answer:
y = 3x - 2
Step-by-step explanation:
The number beside the x is the slope. The number at the end of the equation is the y-intercept.
All the answers are in this form:
y = mx + b
m is the slope.
b is the y-intercept.
With a 3 filled in for slope and -2 filled in for the y-intercept, you get:
y = 3x + -2
is the same as,
y = 3x - 2
Answer:
(- 3, 1 )
Step-by-step explanation:
Given the 2 equations
2x - 2y = - 8 → (1)
x + 2y = - 1 → (2)
Adding the 2 equations will eliminate the y- term, that is
3x = - 9 ( divide both sides by 3 )
x = - 3
Substitute x = - 3 into either of the 2 equations and evaluate for y
Substituting into (2)
- 3 + 2y = - 1 ( add 3 to both sides )
2y = 2 ( divide both sides by 2 )
y = 1
Solution is (- 3, 1 )
Answer: D,(11,61,62)
Step-by-step explanation:28,45,53
53²=28²+45²
2,809= 784+2,025
= 2,809
53²=2,809
(28,45,53) is a Pythagorean triple
16,63,65
65²=16²+63²
4225=256+3969
= 4225
65²=4225
(16,63,65) is a Pythagorean triple
13,84,85
85²=13²+84²
7225=169+7056
=7225
85²=7225
(13,84,85) is a Pythagorean triple
11,61,62
62²=11²+61²
3,844=121+3,721
=3,842
62²=3,844
(11,61,62) is not a Pythagorean triple
1. Gold has a higher density than silver. This is shown by the equation D = M/V, where D is density, M is mass, and V is volume. This means that when the jeweler put an equal amount of mass in, he had
to put a greater volume of silver to equal the same mass of gold. The total volume of the crown increased.
2. Archimedes discovered that the amount of volume he put in (whether his body, or the crown) would be equal to the rise in volume of the water level (that is, the new water level versus the old one before anything had been put in). Archimedes would have then gotten a block of gold that weighed the same as the crown and checked the volume rise. Then once he tested the crown, he would have seen that the volume rise was higher than expected, and he would know that the jeweler had included some silver.
