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3 years ago

Solve the quadratic equation by the square root property 6x2=54

Mathematics

1 answer:

anyanavicka [17]3 years ago

8 0

$6x^2=54\qquad|\text{divide both sides by 6}\\\\x^2=9\to x=\pm\sqrt9\\\\\boxed{x=-3\ \vee\ x=3}$

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10n^3-25n^2-16n+40 I'm so lost on this please help

Mariulka [41]

I think you're factoring this...? You can do that by grouping here. Put the 4 terms in groups of 2 and factor out the greatest common factor. What's left behind is a common binomial factor that can also then be factored out. Like this:
$(10 n^{3} -25 n^{2})-(16n+40)$
Factoring what we can out of both sets gives us this:
$5 n^{2} (2n-5)-8(2n-5)$
The 2n-5 is a common factor between both the sets of terms, which in turn can also be factored out:
$(2n-5)(5 n^{2}-8)$
I'm not exactly sure what you are doing with this, but we can keep factoring for the sake of completeness. The 5 n-squared term can also be factored:
$5 n^{2}-8=0$ and $5 n^{2} =8$ and $n^{2} = \frac{8}{5}$ so $n= \frac{ \sqrt{8} }{ \sqrt{5} }$ . Simplifying that down its simplest is this:
$n=+/- \frac{2 \sqrt{10} }{5}$
So your three factors for that polynomial are
$(n- \frac{5}{2} ),(n- \frac{2 \sqrt{10} }{5} ),(n+ \frac{2 \sqrt{10} }{5} )$ ,

6 0

2 years ago

1. If two nonvertical lines are parallel, what do we know about their slopes? If two lines are perpendicular and neither is para

yanalaym [24]

Answer:

Two straight lines with slopes m and m' are parallel when m = m'

Two straight lines with slopes m and m' are perpendicular when m × m' = - 1.

Step-by-step explanation:

Let us assume that the two non-vertical lines in the slope-intercept form are

y = mx + c ........... (1) and

y = m'x + c' ............ (2)

If those two lines are parallel then we can say the slope of them will be the same i.e. m = m'

Now, if given two straight lines (1) and (2) are perpendicular to each other and neither of them is parallel to the axes, then we can write m × m' = - 1. (Answer)

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3 years ago

13. Find the vertex of f(x)=x2 -6x +8 .

Mekhanik [1.2K]

9514 1404 393

Answer:

a (3,-1)

Step-by-step explanation:

The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...

f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1

f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form

Comparing this to the generic vertex form ...

f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)

we see that h=3 and k=-1.

The vertex is (h, k) = (3, -1).

6 0

2 years ago

What are three 2-digit numbers that divide into 1520?

vlada-n [284]

1520 ÷ 10 = 152

1520 ÷ 20 = 76

1520 ÷ 40 = 38

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3 years ago

Jonah recorded the points his team scored during its last nine basketball

Ainat [17]

Jonah recorded the points his team scored during its last nine basketball

games. The mean number of points scored was 42 and the MAD Was 4.4.

The MAD shows that the scores generally varied greatly from the mean.

The scores were mostly less than

38 (42 -4.4 = 37.6)

greater than

46 (42 + 4.4 = 46.4).

#SPJ1

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1 year ago