The general equation of a parabola is y=ax^2+bx+c At the y-intercept, x=0 and y= -8: -8 = a(0)^2 + b(0) + c. Thus, c = -8. So, our equation becomes
y = ax^2 + bx - 8. Next, substitute -1.5 for x and -12.5 for y. Then,
-12.5 = a(-1.5)^2 + b(-1.5) - 8. This simplifies to -4.5 = a(2.25) - 1.5b.
Next, take advantage of the info that the vertex is at x= -1.5.
The formula for the vertex is x=-b/(2a). Letting this formula = -1.5,
-1.5 = -b/(2a). We can then solve for b: 1.5 = b/(2a), or 3a = b.
Now go back to the equation we derived previously: -4.5 = a(2.25) - 1.5b.
Substitute 3a for b:
-4.5 = a(2.25) - 1.5(3a). Then -4.5 = -2.25a, and a = 4.5/2.25 = 2.
Last, substitute a = 2 into 3a=b to determine the value of b.
b=3(2) = 6.
Therefore, your equation is y=2x^2 + 6x - 8.
Check this result. Substitute the coordinates of the vertex (-1.5,-12.5) into this equation. Is the equation still true? If so, your equation correctly represents this parabola.
Answer:
True.
Step-by-step explanation:
The answer is true. All you need is one 90 degree angle, two 50 degree angles, and one 170 degree angle. This creates a weird looking shape that is a quadrilateral with no parallel lines and at least one right angle.
Please mark me as brainliest. I need to rank up.
Do you know the muffin man 2*+%9272
Answer:
C. 75°
Step-by-step explanation:
We have been given a circle and we are asked to find the measure of angle AEC.
We will use Intersecting chords theorem to find the measure of angle AEC, which states that measure of angle formed inside a circle by two intersecting chords is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
We can see that measure of arc AC is 110 degrees and measure of its vertical arc BD is 40 degrees.
Therefore, measure of angle AEC is 75 degrees and option C is the correct choice.
Answer: 46 or 46=4
Step-by-step explanation:
Do what's in the Parenthesis first so 7+2=10 which now give you the equation
[10x 5-4]=2+2
Now we Multiply so we do 10x5 which is 50 so that now gives us the equation[50-4]=2+2
Now we add the 2+2 which is 4 giving us the equation [50-4]=4
Now we subtract 50-4 giving 46
46=4
