To evaluate the expression “10 minus the sum of 2 and 3,” should you subtract or add first? Explain how you know.
2 answers:
Answer:
We need to add first.
Step-by-step explanation:
The given description of the expression is “10 minus the sum of 2 and 3”.
Using the description, we get
Sum of 2 and 3 = (2+3)
10 minus the sum of 2 and 3 = 10-(2+3)
The given expression is
Since the sum of 2 and 3 is subtracted from 10, therefore first we have to add 2 and 3 then we need to subtract the resulted number from 10.
The value of given expression is 5.
If we subtract first, then the final will be different.
Hence, we need to add first.
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The perimeter of the triangle is 15.4 units.
<u>Step-by-step explanation:</u>
The triangle has vertices at (-1,5), (4,2), and (0,0).
To find the perimeter of the triangle, you need to find the distance of the three points which is the length of the three sides of the triangle.
Let us consider the points as A (-1,5) and B (4,2) and C (0,0).
<u>The distance formula is given by :</u>
⇒
<u>Distance of AB :</u>
A (-1,5) ⇒ (x1,y1)
B (4,2) ⇒ (x2,y2)
⇒
⇒
⇒
⇒
⇒ 5.8
∴ The length of the side AB of the triangle is 5.8 units.
<u>Distance of BC :</u>
B (4,2) ⇒ (x1,y1)
C (0,0) ⇒ (x2,y2)
⇒
⇒
⇒
⇒ 4.5
∴ The length of the side BC of the triangle is 4.5 units.
<u>Distance of CA :</u>
C (0,0) ⇒ (x1,y1)
A (-1,5) ⇒ (x2,y2)
⇒
⇒
⇒
⇒ 5.1
∴ The length of the side CA of the triangle is 5.1 units.
Now, the perimeter of the triangle is given by :
Perimeter = Sum of the lengths of all three sides of the triangle.
⇒ 5.8 + 4.5 + 5.1
⇒ 15.4 units.
∴ The perimeter of the triangle is 15.4 units.