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polet [3.4K]
3 years ago
11

Please hepppp due tomarrow means a lot

Mathematics
1 answer:
antoniya [11.8K]3 years ago
4 0

Answer:

1.4

Step-by-step explanation:

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For the function y=x^2-4x-5, perform the followingtasks:
lbvjy [14]

Answer:

a. x^2-4x-5= \left(x-2\right)^2-9.

b. The axis of symmetry for {\left(x - 2\right)^{2}} - 9 is x=2.

Step-by-step explanation:

a. The vertex form of a quadratic is given by y=a(x-h)^2+k, where (h, k) is the vertex.  

To convert from y=x^2-4x-5 form to vertex form you use the process of completing the square.

Step 1: Write x^2-4x-5 in the form x^2+2ax+a^2. Add and subtract 4:

x^{2} - 4 x - 5=x^{2} - 4 x + {\left(4\right)} - {4} - 5

Step 2: Complete the square x^2+2ax+a^2=\left(x+a\right)^2

{\left(x^{2} - 4 x + 4\right)} - 9={\left(x - 2\right)^{2}} - 9

b. The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.

For a quadratic function in standard form, y=a(x-h)^2+k, the axis of symmetry is x=h.

The axis of symmetry for {\left(x - 2\right)^{2}} - 9 is x=2.

Look at the graph shown below.

5 0
3 years ago
Identify the y-intercept of the linear equation 3x+2y-18=0
Alborosie

Answer:

3x + 2y = 18

3x = 18

x = 6

(6,0): x-intercept

2y = 18

y = 9

(0,9)

answer is a

6 0
3 years ago
Helppp meeeeeee asappppppp
Juliette [100K]

Answer:

9.2

Step-by-step explanation:

So the 14 can be divided equally on both sides by the fact that the line cutting it at right angle bisects it.

Thus having 6 and 7 as the two shorter sides of a right angled triangle will help us get the radius( hypotenuse in this case) using the square root of the sum of the squares of both six and 7, the Pythagoras theory.

this leads to 9.2 as our answer

5 0
3 years ago
Say I buy a TV for $1,200,but I buy it for a discount of 35%. How much do I pay?
vekshin1
1200 x .35 = 420
1200 - 420 = 780
$780 
3 0
3 years ago
Read 2 more answers
Which of the following terms correctly describe the object below
sleet_krkn [62]

Answer:

Pyramid

Step-by-step explanation:

8 0
3 years ago
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