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dybincka [34]
3 years ago
14

The equation of a parabola is given.

Mathematics
1 answer:
Leokris [45]3 years ago
4 0
We have that
y = -5/8 x²- 3x + 4----> multiply by 8----> 8y=-5x²-24x+32
8y-32=-5x²-24x

Factor the leading coefficient

8y-32=-5*(x²+4.8x)

Complete the square  Remember to balance the equation by adding the same constants to each side.

8y-32=-5*(x²+4.8x+5.76-5.76)
8y-32-28.8=-5*(x²+4.8x+5.76)
8y-60.8=-5*(x+2.4)²
8*(y-7.6)=-5*(x+2.4)²
-(8/5)*(y-7.6)=(x+2.4)²
-(1.6)*(y-7.6)=(x+2.4)²

is a vertical parabola-----> open down
The standard form is (x - h)²<span> = 4p (y - k)
</span>
the vertex is the point (-2.4,7.6)
4p=-1.6
p=-1.6/4----> p=-0.40

<span>the directrix is
 y= k - p-------> 7.6-(-0.40)----> y=7.6+0.40----> y=8
</span>
the answer is
y=8
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Given that angleAXB is complementary to both angleCYD and angleFZE, and mangleAXB = 20°, what is mangleCYD + mangleFZE?
EastWind [94]
Complementary angles add up to 90 degrees. We know that AXB is 20 degrees, and AXB is complementary to CYD and FZE. So CYD and FZE are 90-20, so each angle is 70 degrees
CYD = 70 degrees
FZE = 70 degrees
CYD + FZE = 70 + 70 = 140
3 0
3 years ago
How would you find the number, 3/7 of which is equal to t? (let's say it was any number, just need the equation)
ohaa [14]
Let the number be x
(3/7) x = t
I can't think of anything useful to add to this. How about an example?

Let x = 49

(3/7) x = t
(3/7) * 49 = t seven will go into 49
3 * 49 = t
t = 147 
8 0
3 years ago
Help me please help if know what the answer please?!!?!??faster
Fiesta28 [93]

Answer:

like 29%

Step-by-step explanation:

there are 4 male freshmen out of 4+6+2+2=14 total males and 4/14 is like 28.5714... and so you round

3 0
2 years ago
How would you determine which x-values to use when creating a table of values to graph a parabola?
blagie [28]
To determine which values of x we would use for creating a graph of a parabola, we need to know where the line of symmetry, or the axis of symmetry is. For that we can use the equation:

y=(x-h)+k, where we know h and k.

From this equation we can see that the line of symmetry is passing trough x=h.

And now we can determine which values do we need to add to h and to subtract from h to get values of x to create the table of values to plot a parabola.
5 0
3 years ago
Answer this fast and I’ll make you Brainly
wel

Answer:

C=25°

Step-by-step explanation:

C=5/9(77-32)

C=5/9(45)

C=(5*45)/9

C=5*5

C=25

3 0
3 years ago
Read 2 more answers
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