The values of OM, PN, ON and MN of the given square are;
OM = 46
PN = 23
ON = 32.5
MN = 32.5
<h3>Pythagorean theorem</h3>
We are given;
LN = 46
- Now, LN is the diagonal of the square and as such to get the sides of the square, we will make use of pythagoras theorem to get;
LO² + ON² = 46²
Since LO = ON, then;
2LO² = 46²
LO² = 46²/2
LO = √1058
LO = 32.5
Thus;
LO = ON = MN = 32.5
For the diagonals;
LN = OM = 46
Also; LP = PN = 46/2 = 23
Read more about pythagoras theorem at;brainly.com/question/3317136
Remember you can do anything to an equation as long as you do it to both sides
expand by foiling or distributing
4x²-19x-5=-43x-41
add 43x to both sides and add 41 to both sides
4x²+24x+36=0
factor
facotr out of 4
4(x²+6x+9)=0
factor inside
what 2 numbers multiply to get 9 and add to get 6?
3 and 3
4(x+3)(x+3)=0
set to 0
x+3=0
x=-3
x=-3 is answer
Answer:
Example Cube Roots: The 3rd root of 64, or 64 radical 3, or the cube root of 64 is written as 3√64=4. The 3rd root of -64, or -64 radical 3, or the cube root of -64 is written as 3√−64=−4. The cube root of 8 is written as 3√8=2. The cube root of 10 is written as 3√10=2.154435.
Step-by-step explanation:
Answer:
V is greater than or equal to 62
Answer:
The answer to this is 4 and 9 over 16.
Step-by-step explanation:
The expression is 3 + (2 + 8)^2 ÷ 4 × 1 over 2 to the power of 4 . it can be represented mathematically as
3 + (2 + 8)^2 ÷ 4 × (1/2)^4
using PEMDAS
parenthesis come first
3 + 10^2 ÷ 4 × (1/2)^4
exponential comes next
3 + 100 ÷ 4 × 1/16
3 + 25 × 1/16
3 + 25/16
(48 + 25)/16
73/16
4 9/16