Answer:
Step-by-step explanation:
step 1
Find the slope of the given line
we have
(-3,2) and (0,1)
The slope m is

step 2
Find the slope of the line perpendicular to the given line
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of its slopes is -1)
so
The slope is

step 3
Find the equation of the line in point slope form
we have


----> equation in point slope form
Convert to slope intercept form
Answer:
vertex = (1, - 9 )
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
f(x) = x² - 2x - 8
To complete the square
add/ subtract ( half the coefficient of the x- term )² to x² - 2x
f(x) = x² + 2(- 1)x + 1 - 1 - 8
= (x - 1)² - 9 ← in vertex form
with vertex = (1, - 9 )
Given:
1st letter : 2.9 ounces
2nd letter: 4.1 ounces
f(1) = 0.42 + 0.20(x-1)
f(1) = 0.42 + 0.20(2.9-1)
f(1) = 0.42 + 0.20(1.9)
f(1) = 0.42 + 0.38
f(1) = 0.80
f(2) = 0.42 + 0.20(4.1-1)
f(2) = 0.42 + 0.20(3.1)
f(2) = 0.42 + 0.62
f(2) = 1.04
0.80 + 1.04 = 1.84 last choice
Answer:
Please provide the picture of the question, as most people don't open the links
Step-by-step explanation:
Answer:
A = 32
Step-by-step explanation:
A = ½ (a + b) h
A = ½ (3 + 10) 4
A = (3+5)4
A = (8)4
A = 32