x+(-2) >3
open the bracket
x-2>3
collect the like terms by taking 2 to the other side
x>3+2
x>6
Answer:
x = 1
Step-by-step explanation:
It is given that,
∠A and ∠B are vertical angles.
∠A = (5x – 4) and ∠B = (2x – 1)
We need to find the value of x.
We know that, the vertical angles are equal. So,
∠A=∠B
(5x – 4)=(2x – 1)
Taking like terms together,
5x-2x = 4-1
3x=3
x = 1
So, the value of x is equal to 1.
The question asks:
"Mark Atilius was expecting news from his friends with whom he agreed to reveal the great secret pyramids and spent his time at a nearby inn when he caught the attention of the Egyptian sitting beside him. He was even more surprised when he talked to him.
- You're Mark Atilius, are not you? she smiled - My name is Nefertari and I have a message for you from my grandmother. You should go right away if you want to get Pharaoh's belt you've been looking for all this time.
And he passed on the parchment he had just read.
<span> AA3 + 2 = AAA
CC6 + 6 = CBB
(AB | C) -> S57 -> E73-> S47-> E57-> S43-> W26-> S18->? </span>
Task: Find out the coordinates where Mark should come.<span> "
First, you need to solve for the position from which Mark starts.
You know:
</span><span>AA3 + 2 = AAA
Since 3 + 2 = 5,
553 + 2 = 555
Therefore A = 5.
Similarly:
</span><span>CC6 + 6 = CBB
Since 6+6 = 12, B = 2.
In order from the middle digit to be 2, the original one must have been 1.
Therefore B = 2 and C = 1
Hence, the starting position is: (AB, C) = (52, 1)
The following line gives you how many steps and in what direction Mark should go: S = south (negative vertical motion), N = north (positive vertical motion), E = east (positive horizontal motion), W = west (negative horizontal motion).
(52, 1)
-> S57 -> (52, -56)</span>
-> E73 -> (125, -56)
-> S47 -> (125, -103)
-> E57 -> (182, -103)
-> S43 -> (182, -146)
-> W26 -> (156, -146)
-> S18 -> (156, -164)
Hence, the coordinates that Mark should reach are (156, -164)
Answer:
(3x^3 - 4y^3) ( 3x^3 + 4y^3)
Step-by-step explanation:
9x^6 – 16 y^6
Rewriting as
(3x^3) ^2 - ( 4y^3) ^2
This is the difference of squares a^2 - b^2 = (a-b)(a+b)
(3x^3 - 4y^3) ( 3x^3 + 4y^3)
Answer:
6 inches
Step-by-step explanation:
The volume of a triangular pyramid can be found using
v=1/3bh
where b is the area of the base, and h is the height
We know the volume is 12, so let's find the area of the base
The area of a triangle can be found using:
a=bh/2
We know the base is 4, and the the height is 3, so we can substitute them in
a=4*3/2
a=12/2
a=6
Now, we can solve for the height
v=1/3bh
Substitute 12 in for v, and 6 in for b
12=1/3(6h)
Multiply both sides by 3
3*12=1/3(6h)*3
36=6h
Divide both sides by 6
h=6
The height is 6 inches
