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dem82 [27]
3 years ago
14

Write y=x^2-4x-1 in vertex form

Mathematics
1 answer:
Dvinal [7]3 years ago
7 0

Answer:  y= (x+2)² − 5

Step-by-step explanation:

The way I got this answer is by completing the square. The first step though, when looking at this equation, is to see if we can factor it. The way to check is to look at the coefficient for x² which is 1, and the constant, in this case -1. If we multiply those together, we get  −. Now we look at the middle term, 4x. We need to find any numbers that multiply to equal  −  1x² and add to  4x. There aren't any, which means it is not factorable.

Hope I helped

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Quick!! I need help with this question!
d1i1m1o1n [39]

1. 60 / 1/8 * 3/4

2. 3/4 * 15

3. 7/8 / 3/4

3 0
3 years ago
Solve the equations for all values of x by completing the square x^2+62=-16x
lorasvet [3.4K]

Answer:

x =  \sqrt{2} - 8\\x =  -\sqrt{2} - 8

Step-by-step explanation:

To complete the square, we first have to get our equation into ax^2 + bx = c form.

First we add 16x to both sides:

x^2 + 16x + 62 = 0

And now we subtract 62 from both sides.

x^2 + 16x = -62

We now have to add (\frac{b}{2})^2 to both sides of the equation. b is 16, so this value becomes (16\div2)^2 = 8^2 = 64.

x^2 + 16x + 64 = -62+64

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because 8\cdot8=64 and 8+8=16.

(x+8)^2 = -62 + 64

We can now take the square root of both sides.

x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}

We can now isolate x on one side by subtracting 8 from both sides.

x = \pm\sqrt{2} - 8

So our solutions are

x =  \sqrt{2} - 8\\x =  -\sqrt{2} - 8

Hope this helped!

4 0
3 years ago
Danni is training for a marathon. Her target speed is 25 miles per hour. She currently runs 15 miles in 1/2 and hour. Does she a
Andrews [41]
Yes because if it’s fifteen in 1/2 an hour you multiply by two she is at 30 miles an hour which surpasses her goal by five
6 0
2 years ago
What fraction is not equivalent to 36/60
Andreyy89
Fractions that aren't equivalent would be 30/60, 34/60 and anything that cannot be the same as 36/60.
3 0
3 years ago
Read 2 more answers
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Luda [366]

Answer:

It is 300.88.

Step-by-step explanation: In order for the perimeter of the base to be 18.2, the length and width would have to be 9.1, knowing this, you can plug it into the formula for a pyramid like usual with the height provided.

5 0
2 years ago
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