Answer:
60cm²
Step-by-step explanation:
The area of a rhombus is: A=d1×d2/2, where d1 and d2 are its diagonals.
A=10×12/2=60cm²
Slimination
multiply first equaiton by 2
2x+6y=10
add to second equiaotn
2x-2x+6y-6y=10-10
0=0
this is true so therfor they are the same equaiton
so solve
x+3y=5
3y=-x+5
y=-1/3x+5/3
subsituter values for x and get valuse for y
if x=2 then y=1
The algebraic representation of the statement is x + x² - yz = 0
<h3>What are algebraic expressions?</h3>
Algebraic expressions brings the idea of creating or expressing numbers using letters or alphabets without specifying their actual values.
From the information given , we have that;
- sum of x and it's square = x + x²
- Equal to y × z
Now, let's equate the expressions;
x + x² = y × z
x + x ² = yz
Let's make into quadratic form
x + x² - yz = 0
Thus, the algebraic representation of the statement is x + x² - yz = 0
Learn more about algebraic expressions here:
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Answer:
3/4 pizza is left. If you want an explanation, ask me ;>
4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.
Start with
Taken mod 4, the last two terms vanish and we're left with
We have 
, so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.
Taken mod 7, the first and last terms vanish and we're left with
which is what we want, so no adjustments needed here.
Taken mod 9, the first two terms vanish and we're left with
so we don't need to make any adjustments here, and we end up with 
.
By the Chinese remainder theorem, we find that any 
such that
is a solution to this system, i.e. 
for any integer 
, the smallest and positive of which is 149.
