Answer:
y = 0.25x - 5
Step-by-step explanation:
Given line is 4x + y = 3
or y = -4x + 3
Comparing this with slope-intercept form y = mx + c :
slope of this line is -4
Product of slopes of perpendicular lines = -1
⇒ slope of a line perpendicular to this is = = 0.25
This line also passes through the point (-4,-6)
The equation of a line having slope m and passing through a point (h,k) is
y - k = m(x - h)
⇒ equation of line perpendicular to given line is y - (-6) = 0.25×{x - (-4)}
⇒ y + 6 = 0.25×(x + 4)
⇒ y + 6 = 0.25x + 1
⇒ <u>y = 0.25x - 5</u>
This is in the slope-intercept form y = mx + c with slope m = 0.25 and y-intercept (0,-5)
Answer:
M(6,5) and G(2,9)
Step-by-step explanation:
B(3,6)
C(9,4)
m = [(3+9)/2 , (6+4)/2]
= (6,5)
M(5,9)
H(8,9)
G(x,y)
[(x+8)/2 , (y+9)/2]=(5,9)
(x+8)/2 = 5
x+8 = 10
x = 2
(y+9)/2 = 9
y+9 = 18
y = 9
G(2,9)
(Correct me if i am wrong)
Answer:
15.1
Step-by-step explanation:
14.8=n-.3
you'd add .3 to other side so it'd be 15.1
a) You are given the rate as 7.4m/min,
The equation would become d = 7.4t where d is the total distance and t would be the total number of minutes.
b) d would be a positive number because the diver is ascending, which means he is moving up towards the surface.
c) To find how long it took the diver, replace d with 41.36 ( how deep the diver was) and solve for t:
41.36 = 7.4t
To solve for t, divide both sides by 7.4:
t = 41.36 / 7.4
t = 5.59 minutes ( 5 minutes and 35 seconds)