Answer:
8 in, 8 in and 20 in
Step-by-step explanation:
Let the equal sides of the isosceles triangle be x, then
The base = 2.5x
Sum the 3 sides and equate to the perimeter of 36
x + x + 2.5x = 36
4.5x = 36 ( divide both sides by 4.5 )
x = 8
Thus the 2 equal legs = 8 in
base = 2.5x = 2.5 × 8 = 20 in
<span>So rather than think about how to find the whole numbers, let's try to find the two perfect squares nearest to 38. There is one greater than it and one smaller than it. The square root will lie between the squared value of each. (e.g. 64 is the perfect square, 8 is the squared value i refer to)
</span><span>
6 ,7. 6squared is 36 and 7 squared is 42
therefore 38 lies between these two numbers</span>
Let
. You have
, which means - by the polynomial remainder theorem - that the remainder upon dividing
by
is 240, and so
is not a factor of
.
<h3>
Answer:</h3>
- -100x +100; 3
- 5x +81; 162
<h3>
Step-by-step explanation:</h3>
The distributive property is your friend. It tells you ...
a(b + c) = ab + ac
It can also be used to simplify the product of binomials (or other polynomials).
(a +b)^2 = (a +b)(a +b) = a(a +b) + b(a +b) = a^2 +ab +ab +b^2
(a +b)^2 = a^2 +2ab + b^2 . . . . . . . worth remembering
1. (x -10)^2 -x(x +80) = (x^2 -20x +100) +(-x^2 -80x)
= -100x +100 . . . . . . simplified form
For the purposes of calculation, it can be easier to factor out 100:
= 100 (1 -x)
Then for x = 0.97
= 100(1 -0.97) = 100(0.03) = 3
___
2. (2x +9)^2 -x(4x +31) = (4x^2 +36x +81) -4x^2 -31x = 5x +81
For x = 16.2, this is ...
5(16.2) +81 = 81 +81 = 162
_____
The purpose of the attachment is to show the evaluation is correct.
Answer:
40 units dont put a negative sign in the front tho