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2 years ago

What is the equation for this parabola (located above) in vertex form?

Mathematics

1 answer:

riadik2000 [5.3K]2 years ago

6 0

Answer:

f(x)=x²-2x-2

Step-by-step explanation:

f(x)=ax²+bx+c

f(0)=-2 => c= -2

f(1)= -3=> a+b-2=-3; a+b=-1

f(2)= -2; 4a+2b-2=-2; 4a+2b=0; 2a+b=0

a+b=-1 and 2a+b=0

2a+b-(a+b)=0+1=> a=1

2+b=0=> b=-2

f(x)=x²-2x-2

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Alla [95]

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3 years ago

The line contains the point (-4,-4) and is perpendicular to a line with a slope of 5/2 . The equation is this line is ?

Trava [24]

Answer:

2x + 5y + 28 = 0

Step-by-step explanation:

since they are perpendicular,

m1 ×m2 = -1

5/2 × m2 = -1

m2 = -2/5

now,

y -y1 = M (x-x1)

y - (-4) = -2/5 ( x - (-4) )

y +4 = -2/5 ( x + 4 )

5 ( y +4 ) = -2 ( x+4)

5y +20 = -2x - 8

2x + 5y +20 + 8 =0

2x + 5y + 28 = 0

3 0

2 years ago

A square is cut in half on the diagonal creating two equal triangles each triangle has an area of 0.72 square units what is the

Katyanochek1 [597]

In a square all 4 sides are equal, so when you cut it along the diagonal to make a triangle, both the base and the height of the triangle would be the same.

The area of a triangle is found by the formula 1/2 x base x height

Since the base and height are the same the formula becomes Area = 1/2 x S^2 ( where S is the length of a side).

The area is given as 0.72 square units.

Now you have 0.72 = 1/2 x S^2

First multiply both sides by 2:

1.44 = S^2

To find S, take the square root of both sides:

S = √1.44

S = 1.2

The side length is 1.2 units.

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3 years ago