Answer:
slope is 0
y-(-8)=0(x-(-2))
y+8=0(x+2) no solution
Step-by-step explanation:
![\frac{-8-(-8)}{8-(-2)} =0/10](https://tex.z-dn.net/?f=%5Cfrac%7B-8-%28-8%29%7D%7B8-%28-2%29%7D%20%3D0%2F10)
First we need to know the coordinates of the movie theater, we can do this applying the midpoint formula:
![\begin{gathered} P(BA,SR)=(\frac{10-6}{2},\frac{12-4}{2})\text{ = (}\frac{4}{2},\frac{8}{2}) \\ \Rightarrow P(BA,SR)=(2,4) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%28BA%2CSR%29%3D%28%5Cfrac%7B10-6%7D%7B2%7D%2C%5Cfrac%7B12-4%7D%7B2%7D%29%5Ctext%7B%20%3D%20%28%7D%5Cfrac%7B4%7D%7B2%7D%2C%5Cfrac%7B8%7D%7B2%7D%29%20%5C%5C%20%5CRightarrow%20P%28BA%2CSR%29%3D%282%2C4%29%20%5Cend%7Bgathered%7D)
We have that the movie theater is located at (2,4). Now we use this coordinates to find the location of Clara's house using again the midpoint formula:
![\begin{gathered} P(MT,SR)=(\frac{-6+2}{2},\frac{4-4}{2})=(-\frac{4}{2},0) \\ \Rightarrow P(MT,SR)=(-2,0) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%28MT%2CSR%29%3D%28%5Cfrac%7B-6%2B2%7D%7B2%7D%2C%5Cfrac%7B4-4%7D%7B2%7D%29%3D%28-%5Cfrac%7B4%7D%7B2%7D%2C0%29%20%5C%5C%20%5CRightarrow%20P%28MT%2CSR%29%3D%28-2%2C0%29%20%5Cend%7Bgathered%7D)
Therefore, Clara's house is located at (-2,0)
Answer:
Quadratic function
linear function
cubic function
Step-by-step explanation:
The coefficient of (3y² + 9)5 is <u>15</u>.
A polynomial is of the form a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ.
Here, x is the variable, aₙ is the constant term, and a₀, a₁, a₂, ..., and aₙ₋₁, are the coefficients.
a₀ is the leading coefficient.
In the question, we are asked to identify the coefficient of (3y² + 9)5.
First, we expand the given expression:
(3y² + 9)5
= 15y² + 45.
Comparing this to the standard form of a polynomial, a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ, we can say that y is the variable, 15 is the coefficient, and 45 is the constant term.
Thus, the coefficient of (3y² + 9)5 is <u>15</u>.
Learn more about the coefficients of a polynomial at
brainly.com/question/9071229
#SPJ1
Answer:(-6,-10)
Step-by-step explanation:
Let’s say that A is (-5,-6) and B is (-3,2). The slope of AB is (-6-2)/(-5+3)=(-8)/(-2)=4
The equation of AB is:
y-2=4(x+3)
y=4x+14
The lines intersect in:
4x+14=x-4
3x=-18
x=-6
(-6,-10)