4 years ago

How do you subtract an integer from another integer without using a number line or counters? Give an example.

Mathematics

1 answer:

Feliz [49]4 years ago

3 0

An integer is all whole numbers and zero, are the numbers you are talking about negatives?

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pashok25 [27]

You put the answer as 2 already

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3 years ago

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A parabola has a focus of F(8.5,−4) and a directrix of x=9.5.

HACTEHA [7]

Answer:

$-\frac{1}{2}y^2-4y+1=x$

Step-by-step explanation:

A parabola has a focus of F(8.5,−4) and a directrix of x=9.5.

General form of horizontal parabola is

$(y-k)^2=4p(x-h)$

the distance between directrix and focus is the value of p

so p = 8.5 - 9.5 = -0.5

Focus is (h+p , k), given focus is (8.5, -4)

So k = -4 and h+p = 8.5

we know p = -0.5

h +p = 8.5

h - 0.5 = 8.5

so h= 9 and k = -4

vertex is (h,k) that is (9, -4)

Now plug in the value in the general equation

$(y-k)^2=4p(x-h)$ , k= -4, h= 9 , p = -0.5

$(y+4)^2=4(-0.5)(x-9)$

$(y+4)^2=-2(x-9)$

$y^2+8y+16=-2x+18$

subtract 18 on both sides

$y^2+8y-2=-2x$

Divide whole equation by -2

$-\frac{1}{2}y^2-4y+1=x$

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3 years ago

Solve equations -8x=88

Alexxx [7]

ANSWER:X=-11

Explanation

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3 years ago

A person flipped a coin 100 times and obtained 73 heads. Can the person conclude that the coin was unbalanced?

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They can not, there are only 2 sides and they probably flipped it different ways. They got 'lucky'.

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3 years ago

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Which theorem would be used to prove the triangles below as congruent?

Stells [14]

Answer:

A: HL

Step-by-step explanation:

The hypotenuses of these right triangles are marked congruent.

One leg of these right triangles is marked congruent.

The HL theorem applies.

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2 years ago