A parabola is a quadratic function, and a quadratic can be expressed in vertex form, which is:
y=a(x-h)^2+k, where (h,k) is the vertex (absolute maximum or minimum point of the quadratic)
In this case we are given that (h,k) is (-5,80) so we have so far:
y=a(x--5)^2+80
y=a(x+5)^2+80, we are also told that it passes through the point (0,-45) so:
-45=a(0+5)^2+80
-45=25a+80 subtract 80 from both sides
-125=25a divide both sides by 25
-5=a, so now we know the complete vertex form is:
y=-5(x+5)^2+80
The x-intercepts occur when y=0 so:
0=-5(x+5)^2+80 add 5(x+5)^2 to both sides
5(x+5)^2=80 divide both sides by 5
(x+5)^2=16 take the square root of both sides
x+5=±√16 which is
x+5=±4 subtract 5 from both sides
x=-5±4 so the x-intercepts are:
x=-1 and -9
20 percent
If you cross multiply 30 w/ 100 and then divide it by 150 you will get 20.
Answer:
It is right
Step-by-step explanation:
square all sides
we have 16, 32, 48
add the two shortest sides, which equal the third side
the triangle works with the pythagorean theorem, so of course it is right :)
Answer:
5. Obtuse angle and angle measurement- 130
6. Obtuse angle and angle measurement- 110
Step-by-step explanation:
If you look at the protractor you can see the numbers and if its right of the 90 degrees than its acute if its left of the 90 degrees than its obtuse. If its 90 degrees exactly then its a right angle. And you look at the numbers below the line to find the measurement and look where the line is exactly, then thats your measurement. Hope this helped!
What? That doesn't make sence! Any way if you mean 1997 to 2014 how many years.