When −46+87+46 is rewritten as −46+46+87, it shows that only change in positions of 87 and 46.
Change in order of sum of numbers doesn't change the result.
And when only order changes of added numbers, it will be a Commutative Property of Addition.
This propery could be shown by a simple expression
a+b = b+a.
So, first answer will be "The property used to rewrite this expression is the <u>Commutative Property of Addition.</u>
Now, let us evalute the expression by applying order or operations.
According to order of operations, we would could go from left to right.
−46+46+87.
So, first we add -46+46 = 0 ( by Additive inverse property )
0+87 = 87 ( by Identity Property of Additon) .
Therefore, answer for second part is ..
When the expression is evaluated, the solution is<u> 87.</u>
Answer:
0.324
Step-by-step explanation:
So we are taking his hits and dividing by his attempts.
Number of hits was 156 and number attempts is 482.
So punch 156 (division sign) 482 into calculator.
You get 0.32365145 approximately.
So the answer to the nearest thousandths is 0.324.
Answer: (-2, 0) and (0, -2)
Step-by-step explanation:
This system is:
y + x = -2
y = (x + 1)^2 - 3
To solve this we first need to isolate one of the variables in one fo the equations, in the second equation we have already isolated the variable y, so we can just replace it in the first equation:
(x + 1)^2 - 3 + x = -2
Now we can solve this for x.
x^2 + 2*x + 1 - 3 = -2
x^2 + 2*x + 1 -3 + 2 = 0
x^2 + 2*x + 0 = 0
The solutions of this equation are given by the Bhaskara's formula, then the solutions are:
The two solutions are:
x = (-2 - 2)/2 = -2
In this case, we replace this value of x in the first equation and get:
y - 2 = -2
y = -2 + 2 = 4
This solution is x = -2, y = 0, or (-2, 0)
The other solution for x is:
x = (-2 + 2)/2 = 0
If we replace this in the first equation we get:
y + 0 = -2
y = -2
This solution is x = 0, y = -2, or (0, -2)
I think m=2... i think..still learning this subject
Answer:
Length of garden will be 30 metres.
Step-by-step explanation:
Let the Width of garden be x metres.
then,
Length of garden will be (x+6) metres.
Area = Length × Breadth
720 = x X (c+6)
720 = x²+6x
0 = x²+6x-720
As we can see above equation is a quadratic equation in the form of ax²+bx+C.
so,
One of the Roots of the Quadratic equation is 24 and other is -30.
And as we know width of any garden cannot be negative so the width of garden will be 24 metres.
As we got the width,
adding 6 to it will give us the Length,
So,
24 metres + 6 = 30 metres.
Length of the garden is 30 metres.
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