Answer:
C (Y = -5/8x - 10)
Step-by-step explanation:
first find the slope (y₂ - y₁) ÷ (x₂ - x₁)
(5 - (-20)) ÷ (-24 - 16)
-5/8 = slope (m)
now that we know the slope is -5/8 we can rule out A and B
now to find the y intercept just substitute a point in for x and y
5 = (-5/8)(-24) + b
multiply
5 = 15 + b
subtract 15 from both sides tp isolate b
-10 = b
Answer:
13.8 days
Step-by-step explanation:
In this case we can solve it by means of a rule of three, knowing the amount of life for 1000 grams, it must be proportional for 600 grams, like this:
grams days
1000 23
600 x
x = 600 * 23/1000
x = 13.8
which means that for the 600 grams it would be an average life of 13.8 days.
Hi!
4.2+0.6/3-5(0.9-0.5) = 4.2 + 0.2 - 5*0.4 = 4.4 - 2 = 2.4
Hope this helps!
Answer:
the area of the hexagon is approx. 187.1 in²
Step-by-step explanation:
Picture this regular polygon as being a hexagon made up of six equilateral triangles of side 12 in. We find the area of one such triangle and then multiply that by 6 to obtain the total area of the hexagon.
One such equilateral triangle has three sides all of length 12 in, and all the interior angles are 60°. The height of one such triangle is
h = (12 in)sin 60°, or
√3
h = (12 in) -------- = 6√3 in
2
So, with base 12 in and height 6√3 in, the area of one such equilateral triangle is
A = (1/2)(12 in)(6√3 in) = 36√3 in²
and the total area of the hexagon is 6(36)√3 in², or approx. 187.1 in²
