Included in the figure is the equation of the parabola y = -x ^ 2 + 8x + 9. The point N is the vertex of the parabola. Find the coordinates if M point.

M: (-9/4, 0)

Step-by-step explanation:

y = -x² + 8x + 9

y = -(x² - 8x - 9)

y = -((x - 4)² - 16 - 9)

y = -(x - 4)² + 25

N: (4, 25)

The other point which is on the line and the curve is the y-intercept: (0, 9)

So the difference between the y intercept and N is 4 along the x-axis (i.e. 4 - 0) and 16 on the y-axis (i.e. 25 - 9);

We can therefore find the gradient of the line:

m = change in y/change in x

m = 16/4

m = 4

Now, find the equation of the line using the coordinate (0, 9) or N and m like so:

y - y¹ = m(x - x¹)

y - 9 = 4(x - 0)

y = 4x + 9

Point M has y-coordinate 0;

We can plu this into the equation to get the x-coordinate:

0 = 4x + 9

4x = -9

x = -9/4

M: (-9/4, 0)

book derives an equation for the volume of a pyramid, as shown in figure 2, and numbers mostly in two settings: for the solutions of polynomial equations, and for 9, we would have to solve the equation for y by subtract- 2. the point (1,. 2) is the center of the circle whose equation is x2 y2. 2x. 4y p.w.c. davies.

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet