Answer: y = -2x + 16
Explanation:
Use point slope form:
(y1 - y) = m(x1 - x)
y1 = 6 and x1 = 5 and m = -2
6 - y = -2(5 - x)
6 - y = -10 + 2x
-y = 2x - 10 - 6
-y = 2x - 16
y = -2x + 16
Answer:
- a) 11, d) 25, e) 14, b) 25, c) 28, f) 33
Step-by-step explanation:
<h3>Given</h3>
- ΔBDF, with H is the centroid of BDF, DF = 50, CF = 42, and BH = 22
<h3>To find</h3>
<h3>Solution</h3>
As per definition of the centroid, the points C, E and G are midpoints of respective sides and the length of short and long distances from the centroid have ratio of 1/3 and 2/3 of median
- a) HE = 1/2BH = 1/2(22) = 11
- d) DE = 1/2DF = 1/2(50) = 25
- e) CH = 1/3CF = 1/3(42) = 14
- b) EF = DE = 25
- c) HF = 2/3CF = 2/3(42) = 28
- f) BE =BH + HE = 22 + 11 = 33
It would be 6 in. Because if you separate 60 into two parts such that one part will exceed the other part by 36
Answer:
min at (3, 0 )
Step-by-step explanation:
given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
then the x- coordinate of the vertex is
= - 
y = (x - 3)² = x² - 6x + 9 ← in standard form
with a = 1 and b = - 6 , then
= -
= 3
substitute x = 3 into the equation for corresponding value of y
y = (3 - 3)² = 0² = 0
vertex = (3, 0 )
• if a > 0 then vertex is minimum
• if a < 0 then vertex is maximum
here a = 1 > 0 then (3, 0 ) is a minimum