Answer:
(-6, -4).
Step-by-step explanation:
When you reflect coordinates over the y-axis, the x-coordinates remain the same, but the y-coordinates become their additive inverse.
The original coordinates for F are (6, -4).
The new coordinates for F would be F' (-6, -4).
Answer:
1/8
Step-by-step explanation:
Answer:
![(3)\ y = -x](https://tex.z-dn.net/?f=%283%29%5C%20y%20%3D%20-x)
![(5)\ y = -3x -2](https://tex.z-dn.net/?f=%285%29%5C%20y%20%3D%20-3x%20-2)
Step-by-step explanation:
Required
The equation in slope intercept form
Solving (3):
![m = -1](https://tex.z-dn.net/?f=m%20%3D%20-1)
![(x_1,y_1) =(4,-4)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%284%2C-4%29)
The equation in slope intercept form is:
![y = m(x - x_1) + y_1](https://tex.z-dn.net/?f=y%20%3D%20m%28x%20-%20x_1%29%20%2B%20y_1)
This gives:
![y = -1(x - 4) -4](https://tex.z-dn.net/?f=y%20%3D%20-1%28x%20-%204%29%20-4)
Expand
![y = -x + 4 -4](https://tex.z-dn.net/?f=y%20%3D%20-x%20%2B%204%20-4)
![y = -x](https://tex.z-dn.net/?f=y%20%3D%20-x)
Solving (5):
![m = -3](https://tex.z-dn.net/?f=m%20%3D%20-3)
![(x_1,y_1) = (1,-5)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%281%2C-5%29)
The equation in slope intercept form is:
![y = m(x - x_1) + y_1](https://tex.z-dn.net/?f=y%20%3D%20m%28x%20-%20x_1%29%20%2B%20y_1)
This gives:
![y = -3(x - 1) - 5](https://tex.z-dn.net/?f=y%20%3D%20-3%28x%20-%201%29%20-%205)
Expand
![y = -3x + 3 - 5](https://tex.z-dn.net/?f=y%20%3D%20-3x%20%2B%203%20-%205)
![y = -3x -2](https://tex.z-dn.net/?f=y%20%3D%20-3x%20-2)
Given the expression
-2 + 6.45z - 6 + (-3.25z)
First, classify like terms, constant with constant, coefficient-variable with coefficient-variable
-2 + 6.45z - 6 + (-3.25z)
= 6.45z + (-3.25z) - 2 - 6
Second, combining like terms
= 6.45z + (-3.25z) - 2 - 6
= 6.45z - 3.25z - 8
= 3.20z - 8
The simplest form is 3.20 - 8
Answer:
186.6
Step-by-step explanation:
Based on the given conditions, formulate: 91 ×tan 64°
Calculate the approximate value: 91×2.050304
= 186.577664
Round the number: 186.6
186.6