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cricket20 [7]
3 years ago
11

How can the Subtraction Property of Equality be used to solve addition equations?

Mathematics
2 answers:
IrinaVladis [17]3 years ago
8 0
To keep the balance, add 5 to each side. Example 2. Solve<span> the </span>equation<span> -8 = n - (-4). Solution: After simplifying the right side of the</span>equation<span>, use the </span>subtraction property of equality<span> to </span>subtract<span> 4 from both sides of the</span><span>equation
</span>
marta [7]3 years ago
3 0
Ok, so for example, we have an equation of 4x+5 = 17. To solve for x, we first subtract 5 on both sides. This is called Subtraction Property of Equality.
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A gardener wants to make a rectangular enclosure using a wall as one side and 120 m of fencing for the other three sides. expres
Solnce55 [7]
The area is given by A = -2x<span>² + 120x. The</span> greatest area is given by x = 30 m.

Explanation:
See the picture attached for reference.

Let's call:
x = side not facing the wall
We know that the total fence is 120m, therefore
(120 - 2x) = side facing the wall

Note: you could choose to be x = side facing the wall, but the calculations would be a little bit more complicated.

We can now calculate  the area of a rectangle:
A = b · h =
   = x · (120 - 2x)
   = -2x² + 120x

In order to find a maximum for this function, we need to calculate the first derivative:
\frac{d}{dx} (-2x^{2}  + 120x ) = -4x +120

Then, we need to find the candidate points by setting the derivative equal to zero:
<span>-4x +120 = 0
-4(x - 30) = 0
x = 30

Now, in order to understand if the candidate point is a maximum or a minium, let's calculate the second derivative:

</span><span>\frac{d}{dx}(-4x + 120) = -4</span>

According to the "Second Derivative Test", if the second derivative is negative, the point is a local maximum.

Hence, x = 30m gives the greatest area, and we would have:
side not facing the wall = 30m
side facing the wall = 120 - 2·30 = 60m
area = 30 · 60 = 1800 m² 

3 0
3 years ago
Which one is it?<br>You can pick more than one.​
nexus9112 [7]
4320/3=1440
4320/9=480
4320/10=432

So it is divisible by all of them...
7 0
3 years ago
Find the square root of each by division method:
Dima020 [189]

Refer to the attachment

8 0
2 years ago
Read 2 more answers
Two triangles, Triangle 1 and triangle 2, are similar. Is it a Dilation?
Arlecino [84]

Answer:

You can't be sure without an image.

Step-by-step explanation:

If one moves left or right, that's a horizontal translation.

If one moves up or down, it's a vertical translation.

A dialation is when the image gets smaller or bigger.

8 0
3 years ago
A rectangular vegetable garden will have a width that is 4 feet less than the length, and an area of 140 square feet. If x repre
DENIUS [597]
Solving for x would give me 14 and negative 10 which would lead to the problem looking like so 14(-10-4)=140
6 0
1 year ago
Read 2 more answers
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