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.
The area of the trapeziod is 337.5
You multiply the whole number and multiply the denominator (the bottom one of the fraction) then you take the product and add the numerator (the top one of the fraction). That's how you get an improper fraction. Then once you get and improper fraction, you divide the numerator and denominator by their common factors. That's how you simply a mixer number.
Answer:
THEY ARE ALL TRIANGLES, all have an measure to 180 degree, all have angles ;)
Step-by-step explanation:
SCALENE ALL DIFFER IN SIZE
ISOCLES 2 ARE SAME
EQUALATREAL EQUAL
Answer:
1.24 kilograms per cubic meter.
Step-by-step explanation: