Let 
and 
be these consecutive integers. For some base 
, we can write
If
then
Now,
Squaring both sides gives
and so
(because the base has to be non-zero)
Answer:
26.7
Step-by-step explanation:
This is the answer because 26.7/20 = (16+26.7)/32
When two triangles are similar, it means their sides are also proportional. The reason why it is not ten is because you need to add 10 to 16 to the large triangle as well, which no longer makes it proportional.
To solve, you create a formula.
(16+x)/32=x/20
Multiply both sides by 32 to get rid of the 32 in the left side.
16+x=32x/20
Multiply both sides by 20 to get rid of the 20 right side.
320+20x=32x
-20x on both sides to get all the variables on one side and all the nukbers on the other.
320=12x
Divide both sides by 12 to get x by itself
x=26.66667
Answer:
3:4
Step-by-step explanation:
The original ratio between the red and green crayons would be 18:24, but you would need to simplify that to reach your definite simplified answer. Doing this, you find the least common factor between 18 and 24 which is 3 for 18 and 4 for 24.
Answer:
The y intercept is -1
Step-by-step explanation:
the y-intercept is when y = 0
f(0) = -2^2 + 4(0) - 5
f(0) = 4 - 5
f(0) = -1
A. To be able to have the 2 sides ( the 2 triangles) line up correctly, Net A would be the correct one.
B. AB = 3
BC = 5
CD = 9.4
C. Surface area:
9.4 x 5 = 47
9.4 x 3 = 28.2
9.4 x 4 = 37.6
3 x 4 = 12
Total: 47 + 28.2 + 37.6 + 12 = 124.8 sq. in.
