A coordinate grid with 2 lines. The first line is labeled y equals 0.5 x plus 3.5 and passes through (negative 3, 1), (negative
2 answers:
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Answer:
The value of y that would make O P parallel to L N = 36
Step-by-step explanation:
This is a question on similar triangles. Find attached the diagram obtained from the given information.
Given:
The length of O L = 14
the length of O M = 28
the length of M P = y
the length of P N = 18
Length MN = MP + PN = y + 18
Length ML = MO + OL = 28+14 = 42
For OP to be parallel to LN,
MO/ML = MP/PN
MO/ML = 28/42
MP/PN= y/(y+18)
28/42 = y/(y+18)
42y = 28(y+18)
42y = 28y + 18(28)
42y-28y = 504
14y = 504
y = 504/14 = 36
The value of y that would make O P parallel to L N = 36
Answer:
On a coordinate plane, an exponential function increases in
quadrant 3 into quadrant 4 and approaches y = 0. It goes through
(negative 1, negative 2) and crosses the y-axis at (0, negative 0.25) ⇒ last answer
Step-by-step explanation:
* Lets explain how to solve the problem
- The function is reflected across the
y-axis and then across the x- axis
- Lets revise the reflection of a function across the axes
- If the function f(x) reflected across the x-axis, then the new function
h(x) = - f(x)
- If the function f(x) reflected across the y-axis, then the new function
g(x) = f(-x)
∵ is reflected across the y-axis
- Change the sign of x
∴ Its image is g(x) where
∵ is reflected across the x-axis
- Change the sign of y
∴ Its image is h(x) where
∴ h(x) is the image of f(x) after reflected across the y-axis then
reflected across the x-axis
* Look to the attached graph for more understand
- f(x) represented by red
- g(x) represented by blue
- h(x) represented by green
* From the graph
- The green graph is in the 3rd and 4th quadrants
- Approaches y = 0 (x-axis)
- point (-1 , -2) lies on it
- It cross the y-axis at point (0 , -0.25)
∴ The answer is the last one
On a coordinate plane, an exponential function increases in
quadrant 3 into quadrant 4 and approaches y = 0. It goes through
(negative 1, negative 2) and crosses the y-axis at (0, negative 0.25)
