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3 years ago

NEED HELP ASAP!!!!!!!!!!!!!!!!

Mathematics

1 answer:

salantis [7]3 years ago

5 0

9514 1404 393

Answer:

(b) (-5, 1)

(d) (9, -2)

Step-by-step explanation:

The coordinate differences between the given points are ...

(4, 2) -(0, -3) = (4, 5)

The length of the line segment between the points is √(4² +5²) = √41, so this is the side of the square, not a diagonal.

The other four points that could be corners of the square are these same distances, but at right angles. To get points at right angles, the distance values can be swapped, and one of them negated.

Two of the points could be ...

(4, 2) ± (5, -4) = (9, -2) or (-1, 6)

and the other two could be ...

(0, -3) ± (5, -4) = (5, -7) or (-5, 1)

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The school band collected $2,892 for 480 tickets sold to their spring concert. Adult tickets were $8 each and student tickets we

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3 years ago

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3 years ago

PLEASE HELP! WILL MARK BRAINLIEST!!

Alecsey [184]

Answer:

The y-intercept is (0,1). The x values at the horiz. intercepts are:

{ (-3+√5)/2, (-3-√5)/2 }. Graph is that of a parabola that opens down.

Step-by-step explanation:

It'd be helpful to rewrite f(x) = 3-x2+3x-2 with the powers of x in descending order and using " ^ " to denote exponentiation:

f(x) = -x^2 + 3x -2 + 3, or

f(x) = -x^2 + 3x + 1

y-intercept: let x = 0. Then f(0) = 1. The y-intercept is (0,1)

x-intercepts: let y = f(x) = 0 = -x^2 + 3x + 1. Let's use the quadratic formula with a = -1, b = 3 and c = 1 to determine the roots of this polynomial. The discriminant, b^2-4ac, is 9-4(1)(1), or 5.

Thus, there are two real, unequal roots. They are:

-3 plus or minus √5

x = ---------------------------------

or { (-3+√5)/2, (-3-√5)/2 }

These are your two horizontal intercepts, where the function is zero.

Because the coefficient -1 of the x^2 term is negative, the parabola representing this function opens down.

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3 years ago

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hichkok12 [17]

Answer:

Step-by-step explanation:

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