When you make the product of a binomial of the kind x + a times other binomial that is of the kind x - a, you obtain another binomial (not a trinomial), so any example with that form will be a counterexample that disproves the conjecture:
(x + a) * (x - a) = x^2 - a^2
For example, (x +3) * (x - 3) = x^2 - 9. So, not always the product of two binomials is a trinomial.
Answer:
7/10
Step-by-step explanation:
7/10 can be written in decimal form as 0.7.
Clearly, we know 0.7 > 0.67.
Answer:
Step-by-step explanation:
4x+8 27
L-------------M-------------------------N
<------------------ 6x -------------------->
LM = 4x+8
MN = 27
LN = 6x
LM + MN = LN
4x+8 + 27 = 6x
35 = 2x
17.5 = x
LN = 6x = 6(17.5) = 105
The answer is
n = 37 - d
0.05n + 0.10d = 3.10
He has 25 dimes.
n - the number of nickles
d - the number of dimes
n = $0.05
d = $0.10
<span>Carter has 37 coins: n + d = 37
</span><span>The value of the coins is $3.10: 0.05n + 0.10d = 3.10
</span>n + d = 37
0.05n + 0.10d = 3.10
_____
n = 37 - d
0.05n + 0.10d = 3.10
_____
0.05(37 - d) + 0.10d = 3.10
1.85 - 0.05d + 0.10d = 3.10
1.85 + 0.05d = 3.10
0.05d = 3.10 - 1.85
0.05d = 1.25
d = 1.25 : 0.05
d = 25
Finding the perimeter of a shape is just adding up the length of the sides. the vertical sides are 4 + 6, which is 10. For the hypotenuse, use Pythagorean Theorem. 4² + 6² = 16 + 36 = 52. Take the square root of 52: 7.211, and add it to 10. This makes the perimeter 17.211 units.
