Answer:
the ratio of white tiles to blue tiles is 48
Step-by-step explanation:
9514 1404 393
Answer:
3a by 4a
Step-by-step explanation:
For dimensions L and W, the area and perimeter are ...
A = LW = 12a^2
P = 2(L+W) = 14a
Using the second equation, we can find L:
L +W = 7a . . . . . divide by 2
L = 7a -W
Substituting into the area formula gives the quadratic ...
(7a -W)(W) = 12a^2
W^2 -7aW +12a^2 = 0 . . . . arrange in standard form
(W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)
Then we have the two solutions ...
W = 3a, L = 4a
W = 4a, L = 3a
The rectangle dimensions are 3a by 4a.
X=60° (equilateral triangle)
y=120°
Working: (360°-120°)/2
Given:
3 kids
72 is the product of their ages.
There is a youngest child.
This means that all three are of different ages. We need to factor 72 into 3 integers.
Let us use prime factorization:
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
Prime factors are: 2 x 2 x 2 x 3 x 3 OR 2³ x 3²
3 ages.
eldest = 3³ = 9
middle = 2² = 4
youngest = 2¹ = 2
2 x 4 = 8
8 x 9 = 72
Perpendicular means the two lines' slopes are negative reciprocal to each other. the slope of the given line is 1/3, therefore the slope of the perpendicular line is -3/1, which is -3
use the point-slope form: the given point is (4,1), so (y-1)=-3(x-4)
you can stop right here or you can write it into slope intercept form:
y-1=-3x+12
y=-3x+13
