Answer:
See Explanation
Step-by-step explanation:
Sample Response: No, the triangle is not possible. The triangle inequality rule states the sum of any two sides must be greater than the third side. 6 + 4 is 10, which is less than 11.
Answer:
The correct answer is b.)
Step-by-step explanation:
Given:
Sequence -7, -4, -1, 2, 5....... => a₁ = -7, a₂ = -4, a₃ = -1, a₄ = 2 and a₅ = 5
We conclude that this sequence is arithmetic series.
First we must find difference d:
d = a₂ - a₁ = a₃ - a₂ = -4 - (-7) = -1 - (-4) = -4 + 7 = -1 + 4 = 3
d = 3
The formula for n-th term of the arithmetic series is:
aₙ = a₁ + (n-1) d
aₙ = -7 + (n-1) 3
God with you!!!
Answer:
1) 
2) 
3) 
4) 
5) 
Step-by-step explanation:
To solve each proportion, we apply cross multiplication.
Question 1:


Simplifying both sides by 5

Question 2:


Simplifying both sides by 20

Simplifying by 3

Simplifying by 2

Question 3:


Simplifying both sides by 7

Simplifying both sides by 3

Question 4:



Question 5:


Simplifying by 2, both sides

Simplifying by 8, both sides

Answer:

Step-by-step explanation:

Used:

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.