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Mamont248 [21]
3 years ago
7

3+x

Mathematics
1 answer:
Elanso [62]3 years ago
8 0

Answer:

1) Three increased by a number: 3+x

2) The sum of nine and eight: 9+8

3) Nine divided by a number: 9/x

4) The sum of nine and a number : 9+x

5) A number divided by 9: x/9

6) Nine less than a number: x-9

7) The product of nine and a number: 9n

Step-by-step explanation:

You have to match statements with their mathematical expressions.

I will match the statements with their mathematical forms.

1) Three increased by a number: 3+x

2) The sum of nine and eight: 9+8

3) Nine divided by a number: 9/x

4) The sum of nine and a number : 9+x

5) A number divided by 9: x/9

6) Nine less than a number: x-9

7) The product of nine and a number: 9n

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The focus of a parabola is located at (0,–2). The directrix of the parabola is represented by y = 2. Which equation represents t
Archy [21]

Answer:

\boxed{x^2=-8y}

Step-by-step explanation:

(a,b)\ is \ the\ focus\\y=k\ is \ the\ directrice\\\\Formula\ to\ use:\ y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\Here: \ a=0,\ b=-2, \ k=2\\\\y=\dfrac{(x-0)^2}{2(-2-2)} +\dfrac{-2+2}{2} \\\\so\ y=-\dfrac{x^2}{8} \\\\or\ x^2=-8y

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In circle K shown below, points B, C, D, and E lie on the circle with secants HBD and HCE drawn. Prove:
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Answer:

By exterior angle theorem, we have;

∠DBE = ∠H + ∠HEB = ∠ECD = ∠H + ∠HDC

∴ ∠H + ∠HEB = ∠H + ∠HDC

By addition property of equality, we have

∠HEB = ∠HDC

∠H = ∠H by reflexive property

∴ ΔHCD ~ ΔHEB by Angle Angle AA similarity postulate

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Therefore, by cross multiplication, we have;

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Therefore, by commutative property of multiplication, we have;

HE × DC = HD × EB

Step-by-step explanation:

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