Instead of drawing the line that you did, draw it horizontally from the corner, creating a triangle and a rectangle.
Shape 1: rectangle, L•W, 15m•6m, 90m^2
Shape 2: triangle, 1/2(L•W), 1/2(10m•4m), 20m^2
Total Area: 100m^2
12 = r - (34 - 2)
subtract he 2 from 34
12 = r - (32)
add 32 to each side
r = 44
Check:
12 = 44 - (34 - 2)
12 = 44 - 32
12 = 12 :)
Answer:
[-7, ∞ )
Step-by-step explanation:
I'm assuming that the function is y = (x + 8)² - 7
To find the range, we need to find the vertex,
Vertex form of a quadratic equation is y = a(x - h)² + k, where (h, k) is the location of the vertex. Our equation has a = 1, h = -8, and k = -7. Since a > 0, the parabola opens up, so the upper limit of the range is infinity. To find the lowest value of the range, we find the vertex.
Here the vertex is at point (-8, -7), so -7 is the lower limit of the function's range.
The range is [-7, ∞ )
134/200 is a equivalent fraction
Answer:
Cost of a kit is $20
cost of a microscope is $80
Step-by-step explanation:
Here, we want to write a set of equations and solve
Let the cost of a microscope be $m while the cost of a kit be $k
Total cost of 38 microscopes will be 38 * m = $38m
Total cost of 47 kits = 47 * k = $47k
The sum of these is $3980
That will be;
47k + 38m = 3980 ••••••(i)
A microscope cost 4 times a kit
Mathematically;
m = 4k •••••••••(ii)
Substitute ii into i
47k + 38(4k) = 3980
47k + 152k = 3980
199k = 3980
k = 3980/199
k = $20
Recall;
m = 4k
m = 4 * 20 = $80