5 : -16
6 : -19
7 : -22
8 : -25
9 : -28
10: -31
11 : -34
12: -37
13: -40
14 : -43
15 : -46
16 : - 49
17 : - 52
18 : - 55
19 : - 58
20: - 61
21 : - 64
22: -67
23: -70
23rd term : is -70
Answer:
Option C.
Step-by-step explanation:
We need to find the correct definition of like terms.
Like terms :Two or more terms are called like terms if they have the same variables and same powers.
For example : 4xy and 9xy are like terms.
Option A is incorrect because 3x and 3 are not like terms.
Option B is incorrect because 6x and 9 are not like terms.
Option C is correct because like terms are terms that have the same variable factors as well as the same number of factors of each type. For example, 3x and 5x are like terms.
Option D is incorrect because 3x and 5 are not like terms.
Therefore, the correct option is C.
Answer:
63
Step-by-step explanation:
the numbers are in ratio 7 : 9 = 7x : 9x ( x is a multiplier )
given the sum of the numbers = 112 , then
7x + 9x = 112 , that is
16x = 112 ( divide both sides by 16 )
x = 7 , then
9x = 9 × 7 = 63 ← value of larger number
The distance between the points (d) is found using the Pythagorean theorem.
Imagine the two points as defining the hypotenuse of a right triangle. The lengths of the legs of the triangle are the horizontal distance between the points and the vertical distance between the points. The the theorem tells us
d² = 4² + 7²
d² = 16 + 49
d² = 65
d = √65 ≈ 8.1
The distance between the points is
C 8.1_____
You know that the distance must be longer than the longest leg (7) and must be shorter than the sum of the two legs (4+7=11). The only answer choice between 7 and 11 is 8.1.