Answer:
10.2 inches
Step-by-step explanation:
we know that
In this problem we have two cases
First case
The given lengths are two legs of the right triangle
so
Applying the Pythagoras Theorem
Find the length of the hypotenuse
substitute
Second case
The given lengths are one leg and the hypotenuse
so
Applying the Pythagoras Theorem
Find the length of the other leg
substitute
Find the difference between the two possible lengths of the third side of the triangle
so
You start by putting the numbers up and down like this
56
x 31
--1------
1 56
1580
---------
1736
On top of the 5 at the bottom you put 2 ones on top because 5+8 is 13 hope this helps
Answer:
11 small frames, 5 large frames
Step-by-step explanation:
small: x
large : y
x + y = 16
4x + 14y = 114
Multiply first equation by 4 and subtract.
4x + 4y = 64
-(4x + 14y = 114)
-10y = -50
y = 5
Substitute y into the first equation.
x + 5 = 16
x = 11
<span>a, để pt có nghiệm thì denta ≥ 0 <=> (3-m)^2 - 4( 3-2m) ≥ 0 <=> m^2 +2m-3 ≥ 0 ( ^ là mũ)
giải bpt mới tìm được đó ta đc : m ≤ -3 hoặc m ≥ 1
b, * Xét m-1=0 <=> m=1 => thay m=1 vào pt thì pt có 1 nghiệm là 1/8 (1)
* Xét m-1 ≠ 0 <=> m ≠ 1
=> pt có nghiệm khi denta' ≥ <=> (m+3)^2 - (m-1)(-m+2) ≥0 <=> 2m^2 +3m+11 ≥ 0 (*)
-> bpt (*) có denta < 0 nên nó luôn đúng với mọi m ≠1 -> denta của pt đã cho luôn > 0 với mọi m ≠ 1 (2)
từ (1) (2) => với mọi m pt luôn có nghiệm </span>
