Slope intercept form:
Y = mx + b
m = slope, b = y intercept
Given the slope of 4
Y = 4x + b
Plug in the point (3,8)
8 = 4(3) + b
8 = 12 + b, b = -4
Y intercept = -4
Solution: y = 4x - 4
Answer:
0.2425373
Step-by-step explanation:
78 divided by 321.6 equals to 0.2425373
(w³+7)/w=(9w²+7)/9
(w³+7)9=(9w²+7)x
9w³+63=9w³+7x
63=7x
x=9
Answer:
9975
Step-by-step explanation:
See attachment.
( 105 ) * ( 95 )
(100+5) * (100-5)
100*100 * (1 + 5/100) * ( 1 - 5/100)
10000 * ( 1 - 5/100 + 5/100 - {25/10000} )
- 5/100 + 5/100, they cancel each other out to 0
10000 * ( 1 + 0 - {25/10000} )
10000 * ( 1 - {25/10000} )
10000 - {25*10000/10000}
10000 - {25}
9975
The Pythagorean theorem tells you ...
... c² = a² + b²
... 13² = 12² + b² . . . . . fill in the given numbers
... 169 - 144 = b² . . . . .subtract 12²
... √25 = b . . . . . . . . . take the square root
... b = 5 . . . . . . The value of b you're looking for.
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The numbers {5, 12, 13} make what is called a "Pythagorean triple" a set of integers that satisfies the relation of the Pythagorean theorem. These, and the triple {3, 4, 5} are often seen in algebra problems. It can be worthwhile to remember these numbers.
