Just substitute in the number 3 for x then subtract 3 at both sides and youll have y=7
Answer:
y = -3(x+2)^2 - 6
Step-by-step explanation:
y = a(x+2)^2 -6
-18 = a(-2)^2 - 6
-12 = 4a
a = -3
y = -3(x+2)^2 - 6
Answer:
1.2°F
Step-by-step explanation:
Given that:
The drop in temperature in degree Fahrenheit over a period of 14 days = 16.8
The average daily rate of change in degwrr Fahrenheit ;
Total drop in temperature / number of days
= 16.8°F / 14
= 1.2°F
Hence, the average daily drop in temperature is 1.2°F
Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared
In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well. (180 - 90 -45 = 45)
This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.
So we can say that length of leg1 = x, and the length of leg2 also equals x
Now let's use pythagoras' theorem:
leg1 = x
leg2 = x
hypotenuse = 16
x^2 + x^2 = 16^2
2x^2 = 16^2
2x^2 = 256
x^2 = 128
x = √(128)
x = 8√2
