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Contact [7]
3 years ago
4

Which function has a vertex on the y-axis?

Mathematics
1 answer:
s2008m [1.1K]3 years ago
7 0

Answer:

(x-2)(x+2)

Step-by-step explanation:

  • first:  the function that represent on graph as a curve  with vertex it must be a quadratic function of second degree, so we have here  3 equation of second degree which are after simplifying will be :

x^{2}  - 4x+4

x^{2} - 4

x^{2}  -x -2

  • Second if the vertex of curve is on Y axis therefor X must equal 0
  • to find the vertex of curve we use this rule x -coordinate =-b/2a
  • in this equation x^{2}  -4 -0/1 =0 so here x coordinate =0  so its vertex is on y axis

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ANSWER FAST ITS URGENT
Vlad1618 [11]

Answer:

9) 6.3 units

11) n=6√2 and m=12,

10) m=6√3, n=6

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Step-by-step explanation:

1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.

Let the missing side, which is the hypotenuse be x.

Then

{x}^{2}  =  {2}^{2}  +  {6}^{2}

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{x}^{2}  = 40

x =  \sqrt{40}

x = 6.3

The missing side is 6.3 units to the nearest tenth.

2) This is an isosceles right triangle.

This implies that, the two legs are equal.

n = 6 \sqrt{2}

The hypotenuse can be found using Pythagoras Theorem.

{m}^{2}  =  {(6 \sqrt{2} )}^{2}  +  {(6 \sqrt{2} )}^{2}

{m}^{2}  = 36(4)

m =  \sqrt{36 \times 4}  = 6 \times 2 = 12

3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x

From the diagram, the hypotenuse is 12, therefore the other two legs are

n =  \frac{1}{2} (12) = 6

and

m = 6 \sqrt{3}

4) The height of the monument is 115 feet, the hypotenuse is 350.

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{x}^{2}  +  {115}^{2}  =  {350}^{2}

{x}^{2}  =  {350}^{2}   -  {115}^{2}

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x =  \sqrt{109275}  = 330.6 ft

3 0
4 years ago
Please i need help solve for x
malfutka [58]

Answer:

x <= -5

Step-by-step explanation:

4x + 12 <= -8

4x <= -20

x <= -5

3 0
3 years ago
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