Answer:
98
Step-by-step explanation:
Integers are whole numbers or opposite of whole numbers.
The slope is 1.
How?
Change of y is 100-1=99.
Change of x is 100-1=99.
The slope is 99/99=1 or 1/1.
So if we start at (1,1) and we rise 1 and run 1 right, we get (2,2).
If we do that again from (2,2) we get (3,3).
Following the pattern of going up 1 and right from each new location discovered we get all the of these points:
Start (1,1)
(2,2)
(3,3)
(4,4)
(5,5)
(6,6)
....
(96,96)
(97,97)
(98,98)
(99,99)
end (100,100)
So we just need to count all the numbers from 2 to 99.
99-2+1
97+1
98
Answer:
a = 1, b = 1
Step-by-step explanation:
Expand the right side and compare the coefficients of like terms on both sides, that is
right side
(x - a)² + b ← expand factor using FOIL
= x² - 2ax + a² + b
Compare to left side x² - 2x + 2
Compare the coefficients of the x- term
- 2a = - 2 ( divide both sides by - 2 )
a = 1
Compare the constant terms
a² + b = 2 ( substitute a = 1 )
1² + b = 2
1 + b = 2 ( subtract 1 from both sides )
b = 1
Thus a = 1, b = 1
Form equation
y = mx + c
y = (rise/run).x + c
y = (11-1 / 3--2)x + c
y = 2x + c
11 = 2(3) + c
Find c (y-intercept)
11 - 6 = c
c = 5
Final equation of line
y = 2x + 5
Substitute given possible x-values in to find y-values
y = 2(1) + 5 = 7 (1,7)
y = 2(2) + 5 = 9 (2,9)
Therefore d is correct
Answer:
4
Step-by-step explanation:
