Let the number of chemistry books be x and the number of calculus books be y
total number of books in each case is:
x+y=24
x=24-y.....i
Weight of each case:
2707.2/20
=135.36
thus
4.2x+6.0y=135.36..ii substituting i in ii
4.2(24-y)+6y=135.36
100.8-4.2y+6y=135.36
hence
1.8y=34.56
y=19.2
hence
x=24-19.2
x=4.8
thus the number of chemistry books was 4.8*20=96 number of calculus was
19.2*20
=384 books
Answer:
-4
Step-by-step explanation:
Given vertex, the axis of symmetry is x = h.
Answer: 35.4 feet.
Step-by-step explanation:
Given data:
Height of the roof = 24 feet
Height of the ladder = 26 foot
Solution:
c^2 = a^2 + b^2
a = 24
b = 26
c^2 = 24^2 + 26^2
c = √576 + 676
c = √1252
c = 35.4 feet
The foot of the ladder is 35.4 foot away from the top of the ladder.
General formula to make slope-intercept form
y - y₁ = m(x - x₁)
From the question, we know that
m = 3/4
(x₁,y₁) = (-8,3)
Put the number to the formula
y - y₁ = m(x - x₁)
y - 3 = 3/4(x - (-8))
y - 3 = 3/4(x + 8)
y - 3 = (3/4)x + 6
y = (3/4)x + 9
