Let x = first number, and y = second number.
x + y = 40 (1)
x - y = 6.5 (2)
Rearrange (2)
y = x - 6.5 (3)
Sub (3) in (1)
x + (x - 6.5) = 40
2x - 6.5 = 40
2x = 33.5
x = 16.75 (4)
Sub (4) in (1)
16.75 + y =40
y = 23.25
x * y = 16.75 * 13.25 = 221.9375
The product is 221.9375
<span> (x + 3) • (x - 12)
</span>
The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span>
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is <span> -9 </span>.
<span><span> -36 + 1 = -35</span><span> -18 + 2 = -16</span><span> -12 + 3 = -9 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 3
<span>x2 - 12x</span> + 3x - 36
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-12)
Add up the last 2 terms, pulling out common factors :
3 • (x-12)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-12)
Which is the desired factorization
Final result :<span> (x + 3) • (x - 12)</span>
Answer: x= 58/63 or x= -40/63
Step-by-step explanation: thats your answer.
Pythagorean Theorem: a^2+b^2=c^2
Plug in values.
15^2+sqrt(207)^2=(12sqrt(3))^2
225+207=432
432=432
Yes, this is a right triangle.
Answer:
14×6=84 and 6×14=84, 84+6=90
