Answer:
Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is
13x - 4y = 84.
Step-by-step explanation:
Given:
Let,
point A( x₁ , y₁) ≡ ( 4 ,-8)
point B( x₂ , y₂) ≡ (8 , 5)
To Find:
Equation of Line AB =?
Solution:
Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

Substituting the given values in a above equation we get

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is
13x - 4y = 84.
Answer:
The number of ways the grasshopper can reach the desired destination are 9 ways
Step-by-step explanation:
The directions in which the grasshopper can jump are;
One block north and one block west
By counting, we have;
The number of possible ways are through blocks
1) 1, 2, 5, 6, 8, 10
2) 1, 2, 5, 6, 8, 9
3) 1, 2, 5, 6, 7, 9
4) 1, 2, 3, 6, 8, 10
5) 1, 2, 3, 6, 8, 9
6) 1, 2, 3, 6, 7, 9
7) 1, 2, 3, 4, 7, 9
8) 15, 14, 16, 12, 11, 10
9) 12, 13, 16, 12, 11, 10
Therefore, there 9 ways the grasshopper can reach the desired destination.
<u>Answer:</u>
The correct answer option is C. S = 54.6°.
<u>Step-by-step explanation:</u>
We are given a right angled triangle with two known sides,
and
.
We are to find the value of the angle
.
For that, we will use sine.



S = 54.6°
-8 = (10x - 22)/11
Multiply both sides by 11:
-88 = 10x - 22
Add 22 to both sides:
-66 = 10x
Divide both sides by 10
-6.6 = x
Hope it helped :)