Answer:
Step-by-step explanation:
y = 4x+2
slope of the line is 4
slope of any parallel to the line is also 4
point-slope equation for line of slope 4 that passes through (8,4):
y-4 = 4(x-8)
rearrange to slope-intercept form:
y = 4x - 28
Answer:
A) Dimensions;
Length = 20 m and width = 10 m
B) A_max = 200 m²
Step-by-step explanation:
Let x and y represent width and length respectively.
He has 40 metres to use and he wants to enclose 3 sides.
Thus;
2x + y = 40 - - - - (eq 1)
Area of a rectangle = length x width
Thus;
A = xy - - - (eq 2)
From equation 1;
Y = 40 - 2x
Plugging this for y in eq 2;
A = x(40 - 2x)
A = 40x - 2x²
The parabola opens downwards and so the x-value of the maximum point is;
x = -b/2a
Thus;
x = -40/2(-2)
x = 10 m
Put 10 for x in eq 1 to get;
2(10) + y = 40
20 + y = 40
y = 40 - 20
y = 20m
Thus, maximum area is;
A_max = 10 × 20
A_max = 200 m²
There are 82 boats in the navy. 48 of them are battleships and the rest are destroyers. What is the ratio of the number of destroyers to the number of battleships?
Let
x -----> the number of destroyers
y ----> the number of battleships
the ratio is
x/y
we have
y=48
x=82-48=34
therefore
ratio=34/48
simplify
34/48=17/24
answer is 17/24 or 17:24
Answer:
y = 36
Step-by-step explanation:
4(9) = 4 x 9 = 36
