Answer:
Range
Step-by-step explanation:
The difference of the highest and lowest observation is called Range.
Answer:
Step-by-step explanation:
95+16x-4=-1+39x
91+16x=-1+39x
91+1=39x-16x
92=23x
92/23=x
4=x
Answer:
a) (x/2 +3)^2
b) (5a -3b)^2
c) (x/3 +y/5)^2
d) (10b -3c)^2
e) (a/4 -2b)^2
Step-by-step explanation:
Assuming you can do that, write the terms of the quadratic in lexicographical order. (The square terms will be first and last.) Then the binomial is the "sum" of the square roots of the first and last terms with the sign of the middle term.
Using (e) as an example, the term are already in order. (In (d), they need to be rearranged.) The first term is 1/16a^2, and its square root is 1/4a = a/4. The last term is 4b^2 and its square root is 2b. The sign of the middle term is negative, so these two roots will be separated by a minus sign:
(a/4 - 2b)^2
The expression you want is the square of the binomial.
_____
As a check, you can make sure that double the product of these terms is the middle term of the trinomial you started with.
In this example, that double product is 2·a/4·(-2b) = -ab, which exactly matches the middle term you started with.
Answer:
84 in²
Step-by-step explanation:
The side lengths of the triangle are 3 consecutive integers whose sum (the perimeter) is 42. The average of those integers, 42/3 = 14, is the middle of the three, so they are 13, 14, 15. We're told the perimeter is in inches, so all of these dimensions are inches.
These are the last three of 4 consecutive integers, so the first, the height of the triangle, is 12. The base of the triangle is the 3rd of the four integers, so is 14. Then the area is ...
A = (1/2)bh = (1/2)(14)(12) = 84 . . . . . square inches.
