Answer:
x=2
z=80
Step-by-step explanation:
Since (7x+66) and (11x+78) are a linear pair, their measures are supplementary and therefore add up to 180 degrees. z and (7x+66) are also vertical angles, meaning that they are equal.
7x+66+11x+78=180
18x+144=180
18x=36
x=2
z=7x+66=7(2)+66=14+66=80
Hope this helps!
A' (0,4) respuesta es
espero que te sirva marcarme como mejor respuesta PORFA y gracias
Answer:
g(x) = - x² - 4 ⇒ A
Step-by-step explanation:
Let us revise the reflection and translation of a function
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k
f(x) = x² is the blue curve
g(x) is its image is the red curve
∵ g(x) is the image of f(x)
∵ f(x) is opened upward
∵ g(x) is opened downward
→ That means the sign of y-coordinates of all points on the blue
graph are opposite
∴ f(x) is reflected about the x-axis
∴ Its image is - f(x)
∵ The vertex of f(x) is (0, 0)
∵ The vertex of g(x) = (0, -4)
→ That means the function translated 4 units down
∴ - f(x) is translated 4 units down
∴ Its image is - f(x) - 4
∴ g(x) = - f(x) - 4
∵ f(x) = x²
∴ g(x) = - x² - 4
Answer: C x=-4 and -10
Step-by-step explanation:
The time before they will arrive together next is given by the LCM of 16 and 18 which is 144 minutes
2:55 PM + 2 h 24 minutes = 5.19 PM
Its B