-23, -36, 23, 10
This is because when you subtract a positive number it is the same as adding a negative number, and when you subtract a negative number, it iss the same as adding a positive number.
Answer:
Absolute value
Step-by-step explanation:
Absolute value is how many numbers it takes to get back to zero therefore it can never be negative, I think the term absolute value fits the blank perfectly
Answer:
x = -5
Step-by-step explanation:
Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.
This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).
So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.
On the right side we are given 9 for AD, and 18 for DC.
9/18 = 0.5
This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:
If AD/DC = 0.5, then BE/EC will also = 0.5
BE = x+23
EC = x+41
Therefore:
Now we can solve by multiplying both sides by x+41 to eliminate the fraction:
Now we multiply out the brackets and move the terms to different sides:
And if we substitute the -5 into the equations:
-5+23 = 18
-5 + 41 = 36
We will see that -5 does indeed give us the same ratio between the lengths:
18/36 = 0.5
Hope this helped!
Option C: is the possible expressions for length, width and height of the prism.
Explanation:
The volume of the rectangular prism is
To determine the length, width and height of the rectangular prism, let us factor the expression.
Thus, factoring 5x from the expression, we have,
Let us break the expression into two groups, we get,
Factoring 4x from the term , we get,
Similarly, factoring 7x from the term , we get,
Now, let us factor out , we get,
Hence, the possible expressions for length, width and height of the prism is
Therefore, Option C is the correct answer.
Answer:
1 -51
2 m and n, and a and b
Step-by-step explanation: