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2 years ago

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A quadratic equation is shown: x2 − 8x + 13 = 0 Which of the following is the first correct step to write the above equation in

the form (x − p)2 = q, where p and q are integers?

1 answer:

Alla [95]2 years ago

3 0

Answer:

x² - 8x + 13 = 0

x² - 2(x)(4) + 4² = -13 + 4²

(x - 4)² = 3

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PLEASEEE HURRYYY

Masteriza [31]

Answer:

(2,-5) and (2,1).

Step-by-step explanation:

We need to find the find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5.

A circle with center (-2,-4) and radius 5 represents all the points whose distance from the point (-2,-4) is 5.

Standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$

where, (h,k) is center and r is the radius.

$(x-(-2))^2+(y-(-4))^2=(5)^2$

$(x+2)^2+(y+2)^2=25$

Now, put x=2.

$(2+2)^2+(y+2)^2=25$

$(4)^2+(y+2)^2=25$

$(y+2)^2=25-16$

$(y+2)^2=9$

Taking square root on both sides.

$y+2=\pm\sqrt{9}$

$y+2=\pm3$

$y+2=-3\text{ or }y+2=3$

$y=-5\text{ or }y=1$

So, the y-coordinates of the points are -5 and 1.

Therefore, the required points are (2,-5) and (2,1).

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What is the solution to (x+6)(x+2)=60

Citrus2011 [14]

Distribute to eliminate the parenthesis

x^2 + 2x + 6x + 12 = 60

Combine like terms

x^2 + 8x + 12 = 60

Subtract 60 from both sides

x^2 + 8x - 48 = 0

Factor the equation

(x+12)(x-4)=0
x+12=0
x+4=0

x= -12 and -4

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3 years ago

Mark and eight of his friends went out to

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If mark and 8 of his friends went out the total of people is 9, so if you think about it 9x9=81 so the total cost of the bill was $81

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Answer:

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Step-by-step explanation:

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Answer:

You add 12.5+12.5+3.02+3.02 which equals 31.04

Step-by-step explanation:

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