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Sholpan [36]
3 years ago
11

How do you do this?

Mathematics
1 answer:
ELEN [110]3 years ago
8 0
Use the Pythagorean Theorem: a² + b² = c².

a and b are the legs of the right triangle, and c is the hypotenuse.

2) 5² + b² = 6²
    25 + b² = 36
    b² = 11
    b = 3.3 cm

3) 7² + b² = 8²
    49 + b² = 64
    b² = 15
    b = 3.9 cm

4) a² + 5² = 13²
     a² + 25 = 169
     a² = 144
     a = 12 cm
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2 years ago
What are the coordinates of the vertex of the parabola represent by the equation y=-5x^2+30x-25
Jobisdone [24]

Answer:

The coordinate of the  vertex of the parabola is (h,k) =  (3,20)

Step-by-step explanation:

The given equation of the parabola is y=-5x^2+30x-25

Now, the General Parabolic Equation is of the form:

y = a (x-h)^2 + k, then the vertex is the point (h, k).

Now, to covert the given equation in the standard form:

y=-5x^2+30x-25   = -5(x^2  -6x   + 5)

Using the COMPLETE THE SQUARE METHOD,

-5(x^2  -6x   + 5)  = -5(x^2  -6x  +  (3)^2 +  5  - (3)^2)\\\implies -5(((x^2  -6x +(3)^2)  + 5 - 9)\\= -5((x-3)^3 -4)\\= -5(x-3)^2 + 20

ory = -5(x-3)^2 + 20

⇒The general formed equation of the given parabola is

y  = -5(x-3)^2 + 20

Comparing this with general form, we get

h = 3, k = 20

Hence, the coordinate of the  vertex of the parabola is (h,k) =  (3,20)

5 0
3 years ago
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