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3 years ago

What is the value of the discriminant in the equation shown below? x^2 -6x +4 =0

Mathematics

1 answer:

irakobra [83]3 years ago

7 0

Answer:

Discriminant = 20

Step-by-step explanation:

We use formula to find the discriminant.

Discriminant (D) = b^2 - 4ac

The given equation is x^2 - 6x + 4 = 0.

Here the value of a = 1, b = -6 and c = 4.

Plug in the given values in the formula, we get

Discriminant (D) = (-6)^2 - 4*1*4

= 36 - 16

Discriminant = 20

Thank you.

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Choose all of the equivalent ratios for 64:80 8:12 32:40 4:5 16:24 120:160

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Answer:

32/40, 4/5

Step-by-step explanation:

All these ratios are follow the ratio 4:5 meaning they are equivalent to "64:80".

8:12=0.666667

16"24=0.666667

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Answer:

1/4

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2 years ago

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2 years ago

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3 years ago

What is the y-coordinate of the point that divides the

natima [27]

Answer:

y-coordinate = 0

Step-by-step explanation:

Consider the below diagram attached with this question.

Section formula:

If a point divides a line segment in m:n whose end points are $(x_1,y_1)$ and $(x_2,y_2)$ , then the coordinates of that point are

$(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})$

From the below graph it is clear that the coordinates of end points are J(1,-10) and K(7,2). A point divides the line JK is 5:1.

Using section formula, the coordinates of that point are

$(\frac{(5)(7)+(1)(1)}{5+1},\frac{(5)(2)+(1)(-10)}{5+1})$

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$(\frac{36}{6},\frac{0}{6})$

$(6,0)$

Therefore, the y-coordinate of the point that divides the directed line segment from J to k into a ratio of 5:1 is 0.

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