Answer:
a) 5units
b) (4.5, 4)
Step-by-step explanation:
Let the coordinate of P and Q be P(3, 2) and Q(6, 6)
PQ can be gotten using the distance formula;
PQ =√(6-2)²+(6-3)²
PQ = √4²+3²
PQ =√16+9
PQ =√25
PQ = 5units
Midpoint M is expressed as;
M(X, Y) = {(x1+x2)/2, y1+y2/2}
X = x1+x2/2
X = 3+6/2
X= 9/2
X = 4.5
Similarly;
Y = y1+y2/2
Y = 2+6/2
Y = 8/2
Y = 4
Hence the midpoint of PQ is (4.5, 4)
Answer:
Step-by-step explanation:
We can use the process of elimination as
5x + 4y = 24
5(x + 7y = 11) —> 5x + 35y = 55
5x + 4y = 24
-(5x + 35y = 55)
—————————
-31y = -31
-31y/-31 = -31/-31
y=1
Answer:
The shaded area is 
Step-by-step explanation:
we know that
The shaded area is equal to the area of the large square minus the area of the two smaller squares
so

Calculate the shaded area
Remember that

substitute

Answer:
10010
Step-by-step explanation:


So
gives us:



-----------------------------------------------------
Combine like terms:


We aren't allowed to have a coefficient bigger than 1.
I'm going to replace
with 1 and
with
:

I want a
number:

Combine like terms:

:

Combine like terms:

We can rewrite the first term by law of exponents:


So the binary form is:

Maybe you like this way more:
Keep in mind 1+1=10 and that 1+1+1=11:
Setup:
1 0 1 1
+ 1 1 1
------------------------------
(1) (1) (1)
1 0 1 1
+ 1 1 1
------------------------------
1 0 0 1 0
I had to do some carry over with my 1+1=10 and 1+1+1=11.