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3 years ago

Select the graph of the solution. Click until the correct graph appears. |x| = 3

Mathematics

1 answer:

shtirl [24]3 years ago

4 0

The correct graph is the third one, with the solid dots at -3 and 3.

The bars around x stand for absolute value, which is defined as the distance a number is from 0. We want to know what number or numbers is/are 3 units away from 0 on a number line; the only choices are 3 or -3.

This means we must plot points at -3 and 3. They must be solid points, since these numbers are included in the solution (they are, in fact, the only ones of the solution).

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Write the ratio as a percent 38/100 - answer must be a PERCENT

kozerog [31]

Answer: 30%

If anything has a denominator of 100, just put the #, and the % after it.

7 0

3 years ago

Find the x- and y- intercepts of 2x -2y = -6

Sonbull [250]

2x-2y=-6

-2y= -2x-6

y=x+3

Y-intercept= 3

X-intercept= -3

8 0

3 years ago

Read 2 more answers

The line l is tangent to the circle with equation x² + y2 = 169 at the point P.

timofeeve [1]

Given:

The equation of a circle is

$x^2+y^2=169$

A tangent line l to the circle touches the circle at point P(12,5).

To find:

The gradient of the line l.

Solution:

Slope formula: If a line passes through two points, then the slope of the line is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is

$m_1=\dfrac{5-0}{12-0}$

$m_1=\dfrac{5}{12}$

We know that, the radius of a circle is always perpendicular to the tangent at the point of tangency.

Product of slopes of two perpendicular lines is always -1.

Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.

$m\times m_1=-1$

$m\times \dfrac{5}{12}=-1$

$m=-\dfrac{12}{5}$

Therefore, the gradient or slope of the tangent line l is $-\dfrac{12}{5}$ .

6 0

2 years ago

What is the volume of this cube with a side length of 6 centimeters? A cube with side lengths of 6 centimeters. Recall the formu

Sedbober [7]

Answer:

you would multiple length base and height together and since they're all 6 centimeters you would multiply 6 by 6 by 6 and you get216 cubic centimeters

Hope this helps!

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Three poultry farms B1, B2, and B3 supply chicken eggs to the same local market. The market performs some quality testing on the

ipn [44]

Answer:

a. 0.58

b. 0.78

Step-by-step explanation:

a. The probability of egg come from B1 or B2

P(B1) = 3000/10000 = 0.3

P(B2) = 4000/10000 = 0.4

P(P1 ∪ B2) = 0.3 + 0.4 -(0.3)(0.4)

P(P1 ∪ B2) = 0.7 - 0.12

P(P1 ∪ B2) = 0.58

b. The probability that the market received an egg that is acceptable

P(received an egg that is acceptable) = P(B1 acceptable) + P(B2 acceptable) + P(B3 acceptable)

P(received an egg that is acceptable) = 0.80*3000 + 0.90*4000 + 0.60*3000 / 10000

P(received an egg that is acceptable) = 2400 + 3600 + 1800 / 10000

P(received an egg that is acceptable) = 7800 / 10000

P(received an egg that is acceptable) = 0.78

4 0

3 years ago