Answer:
(1/2, 0), (0, -2)
Step-by-step explanation:
We can determine the slope from ...
slope = (change in y)/(change in x) = (10 -2)/(3 -1) = 8/2 = 4
Then an equation for the line can be written for slope m and point (h, k) as ...
m(x -h) -(y -k) = 0
Using the slope we calculated and the first point, we have the equation ...
4(x -1) -(y -2) = 0
4x -4 -y +2 = 0 . . . . . eliminate parentheses
4x -y = 2 . . . . . . . . . . put in standard form
Now, we can divide by the constant on the right to put this into intercept form:
x/(x-intercept) + y/(y-intercept) = 1
x/(1/2) + y/(-2) = 1
The x-intercept is 1/2; the y-intercept is -2.
When reflecting across the y-axis, the y coordinate stays the same.
(x, y) —> (-x, y)
Since the x-coordinate is already a negative we change it to a positive
(-8, -6) —> (8, -6)
Step-by-step explanation:
x² + 2x - 5 = 0
that is the same as
x² + 2x + 1 = 6
(x + 1)² = 6
x + 1 = ±sqrt(6)
x = -1 ± sqrt(6)
x1 = -1 + sqrt(6)
x2 = -1 - sqrt(6)
n² - 20n + 2 = 4
this is the same as
(n - 10)² = 102
n - 10 = ±sqrt(102)
n = 10 ± sqrt(102)
n1 = 10 + sqrt(102)
n2 = 10 - sqrt(102)
Answer:
The leading coefficient of the polynomial is 5 .
Step-by-step explanation:
f(x) = 6x^5 + 9x^4 + 2x^3 + 3x^2 - 4x -6
In this polynomial , the highest exponential is the leading coefficient .
So there are 5 coefficients ,
5 , 4 , 3 , 2 , and x
so above , the highest one is 5 .