The x coordinate of the vertex will be the average of the two zeros, here -3 and 5, so x=(-3+5)/2 = 1, f(1)=(1+3)(1-5) = -16.
Answer: (1, -16)
Let's do it some other ways. How about completing the square to turn f in to vertex form?
f(x) = (x+3)(x-5) = x² - 2x - 15 = (x² - 2x + 1) - 1 - 15 = (x-1)² - 16
and now we can read off (1, -16) as the vertex.
The other method is the vertex is x= - b/2a = - (-2)/2(1) = 1.
Three methods, same answer. Good.
Answer:
x= -10
Step-by-step explanation:
2x+10=1/2(5x+30)
2x+10=2.5x+15
.5x=-5
5x=-50
x= -10
Round to the nearest thousands (underlined and bolded): 9<u>1</u>800
Look at the place value to the right of the one you are solving for (hundreds place in this case). The value is 8, which is greater than 5. Because it is greater than 5, you round up
91800 rounded to the nearest thousand is 92000.
~
Answer:
340 degrees
Step-by-step explanation:
So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).
So the circumference of a circle = 2pi(r)
This means:
6 = 2pi(r)
Which means that
r = 6/2pi or r = 3/pi
Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:
Arc length is defined by: length = θr
Where θ is our angle value.
So lets plug in:
Multiply by pi to get:
Divide by 3 to get that:
θ = 17pi/9
So if we convert that from radians to degrees we get 340 degrees.
The area is 18 because there are 14 full squares. The tiny parts altogether make up 4 squares because if you add allthe parts its equal to 4. 14 + 4 = 18