Answer:
1 point, (1.5,0)
Step-by-step explanation:
Inputting the equation into a graphing calculator (desmos) you can find the x intercept (where the line hits the x-axis)
Answer:
385 kilometers
Step-by-step explanation:
Divide 374 by 34 to get the unit price
Then multiply the unit price by 35
One inch is a whole number so the decimal equivalent for it would just be 1.0 inches. If you have to convert it into cm it would be 2.54cm. But Could you elaborate if something is missing
Step 1: convert the equation into fhe vertex form
To do you can complete squares:
y = - [x^2 + 4x + 3]
y = - [ (x + 2)^2 - 4 + 3]
y = - [ (x + 2)^2 - 1] = - (x+2)^2 + 1
Then the vertex is (-2, 1)
Now you can drasw the vertex
Step 2: Find the roots (zeros)
y = - [ (x + 2)^2 - 1] = 0
(x + 2)^2 - 1 = 0
(x+2)^2 = 1
(x+2) = (+/-) √1
x + 2 = (+/-1)
x = - 2 +/- 1
x = -1 and x = -3
Now you draw the points (-1,0) , (-3,0)
Step 3: find the interception with the y-axis.
That is y value when x = 0
y = - (0)^2 - 4(0) - 3 = -3
Then draw the point (0, -3)
Step 4: given that the coefficent of x is negative (-1) the parabola is open downward.
So, with those four points: vertex (-2,1), (-1,0), (-3,0) and (0,-3), you can sketch the function.
Answer: y=x
The slope of the perpendicular line is the opposite reciprocal. So you do -(-1/1) which equals 1. So now we have y=x+b. Plug (3,3) into this and you get 3=3+b. So b=0 and the equation is y=x
