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Alona [7]
3 years ago
8

Determine the discriminant of x2 = 4. A. 17 B. 16 C. -15 D. -10

Mathematics
2 answers:
tino4ka555 [31]3 years ago
6 0
The discriminant is b<span>²-4ac
We can rewrite x</span>² = 4 to x<span>² + 0x - 4 = 0
So a = 1, b = 0, c = -4
</span>Δ = 0 - 4 * 1 * -4
Δ = 16
The answer is B
belka [17]3 years ago
4 0
X² = 4

x² - 4 = 0   comparing to  a<span>x² + bx + c = 0,   a = 1, b = 0, c = -4
</span>
Discriminant = b² - 4ac

b² - 4ac = 0<span>² - 4*1*-4 = 0 + 16 = 16

Discriminant = 16.

option B </span>
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skad [1K]

The y-coordinate is 16

<h3><u>Solution:</u></h3>

Given that a line with slope 3 passes through point (0, 10)

To find the y-coordinate of the point on the line with x-coordinate 2

Which means the point is (2, y)

Let us find the required y co-ordinate using slope formula

<em><u>The slope of line is given as:</u></em>

For a line containing points (x_1 , y_1) and (x_2 , y_2) is given as:

\text {slope}=m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text {Here } x_{1}=0 ; y_{1}=10 ; x_{2}=2 ; y_{2}=y

Given that slope "m" = 3

Substituting the values we get,

\begin{array}{l}{3=\frac{y-10}{2-0}} \\\\ {3=\frac{y-10}{2}} \\\\ {6=y-10} \\\\ {y=10+6=16}\end{array}

Thus the y-coordinate is 16

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3 years ago
668 ÷ 35 show quotient as mixed number
yulyashka [42]
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or
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Read 2 more answers
What is the area of the triangle ?
bezimeni [28]

from the question, (-2,2) and (1,2) have the same y value so you can use that as your base and easily find the perpendicular height using the y axis since it's parallel to the x axis.

the third point, (0,-6), to the base is your height

use the sum of the positive of the y values to find your height (because height can't be negative): 6+2 = 8

area of a triangle = 1/2 bh = 1/2 x 3 x 8 = 12

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