Answer:
YES
Step-by-step explanation:
Explanation:
If this is a right triangle we can then substitute the sides of the triangle (12 and 35) and the hypotenuse (37) into the Pythagoras Theorem and the two sides of the equation will be equal. If this is not a right triangle the two sides of the equation will not be equal.
The Pythagoras Theorem is
a
2
+
b
2
=
c
2
Substituting we get:
12
2
+
35
2
=
37
2
12
⋅
12
+
35
⋅
35
=
37
⋅
37
144
+
1225
=
1369
1369
=
1369
Because these are equal this is a right triangle.
Answer:
12 fish
Step-by-step explanation:
You need to work this problem backwards. If he caught 30 fish, which was six more than twice the number he caught last year, you would start by subtracting six, leaving you with 24. Then you'd have to divide by 2, because it was twice plus six as many fish, which would give you 12 fish.
= x
= x
12 = x
Given:
The equation is:

To find:
The next step in simplifying the equation by using distributive property.
Solution:
Distributive property: According to this property if a, b and c are three real numbers, then

We have,

Using the distributive property, we get

It can be written as:

Therefore, the next step of the simplification is
.
No, because it has a constant rate of change
By looking at this table
The y value changes at a constant multiple of 2
6 4
7 2 (4-2 is a difference of 2)
8 0 (2-0 is a difference of 2)
9 -2 (0-2 is a difference of 2)
This means it is Linear