Answer:
10.0
Step-by-step explanation:
see attached for reference.
given two points in the x-y axis (x₁, y₁) and (x₂, y₂)
the distance bettween them is given by
Distance, D = √ ( (x₂-x₁)² + (y₂-y₁)² )
In our case we are given points (9,10) and (-1,9)
substituting these into the formula , we get:
D = √ ( (9-10)² + (-1-9)² )
= √ ( (-1)² + (-10)² )
= √ ( 1 + 100 )
=√101
= 10.04988
= 10.0 (rounded to nearest tenth)
Answer:
y=−2x+6
Step-by-step explanation:
the equation of a line in slope-intercept form is. y=−2x+6 is the equation.
Answer: (3x + 11y)^2
Demonstration:
The polynomial is a perfect square trinomial, because:
1) √ [9x^2] = 3x
2) √121y^2] = 11y
3) 66xy = 2 *(3x)(11y)
Then it is factored as a square binomial, being the factored expression:
[ 3x + 11y]^2
Now you can verify working backwar, i.e expanding the parenthesis.
Remember that the expansion of a square binomial is:
- square of the first term => (3x)^2 = 9x^2
- double product of first term times second term =>2 (3x)(11y) = 66xy
- square of the second term => (11y)^2 = 121y^2
=> [3x + 11y]^2 = 9x^2 + 66xy + 121y^2, which is the original polynomial.
Answer:
f(13)=105
f(4)=58
f(6)=-5
f(7)=26
Step-by-step explanation:
Good luck