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2 years ago

15

What is the graph of the inequality in the coordinate plane? x ≥ 4

2 answers:

alexdok [17]2 years ago

8 0

Answer:

Given the inequality: $x\geq 4$

To graph this we draw a vertical line at $x = 4$ on the horizontal axis.

The line will be solid because the operator contains an " equal to" clause.

Now, we will shade to the right side of the line because the inequality operator is "greater than equal" clause.

You can see the graph below in the attachment for the given inequality:

$x\geq 4$

34kurt2 years ago

4 0

If the solution is gray area, then neither of these graphs is a solution.

If the solution is white area, then the second graph from the left is a solution.

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I will upvote and give brainliest answer

grigory [225]

Answer:

The answer is 67 degrees.

Step-by-step explanation:

The angle x is supplementary with 23 degrees because that angle is an alternate interior. Recall that is within a right angles as well so

90 - 23 = 67

7 0

3 years ago

Read 2 more answers

Lines k and n intersect on the y-axis

avanturin [10]

a) The equation of line k is:

$y = -\frac{202}{167}x + \frac{598}{167}$

b) The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

The equation of a line, in <u>slope-intercept formula</u>, is given by:

$y = mx + b$

In which:

m is the slope, which is the rate of change.
b is the y-intercept, which is the value of y when x = 0.

Item a:

Line k intersects line m with an angle of 109º, thus:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

In which $m_1$ and $m_2$ are the slopes of <u>k and m.</u>

Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

$m_1 = \frac{2 - (-1)}{5 - (-3)} = \frac{3}{8}$

The tangent of 109 degrees is $\tan{109^{\circ}} = -\frac{29}{10}$
Thus, the slope of line m is found solving the following equation:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

$-\frac{29}{10} = \frac{m_2 - \frac{3}{8}}{1 + \frac{3}{8}m_2}$

$m_2 - \frac{3}{8} = -\frac{29}{10} - \frac{87}{80}m_2$

$m_2 + \frac{87}{80}m_2 = -\frac{29}{10} + \frac{3}{8}$

$\frac{167m_2}{80} = \frac{-202}{80}$

$m_2 = -\frac{202}{167}$

Thus:

$y = -\frac{202}{167}x + b$

It goes through point (-2,6), that is, when $x = -2, y = 6$ , and this is used to find b.

$y = -\frac{202}{167}x + b$

$6 = -\frac{202}{167}(-2) + b$

$b = 6 - \frac{404}{167}$

$b = \frac{6(167)-404}{167}$

$b = \frac{598}{167}$

Thus. the equation of line k, in slope-intercept formula, is:

$y = -\frac{202}{167}x + \frac{598}{167}$

Item b:

Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.

Thus, the slope of line j is:

$-\frac{202}{167}m = -1$

$m = \frac{167}{202}$

Then

$y = \frac{167}{202}x + b$

Also goes through point (-2,6), thus:

$6 = \frac{167}{202}(-2) + b$

$b = \frac{(2)167 + 202(6)}{202}$

$b = \frac{1546}{202}$

The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

A similar problem is given at brainly.com/question/16302622

7 0

2 years ago

IM GIVING BRAINLIEST!! suppose F is a 10-newton vector direction 60 degrees north of east and g is a 12-newton vector directed 4

Sonbull [250]

Answer: The magnificent of east and g is a round out of the fraction that is in direct to 32 degrees and the other direction of the resultant 10 = 12 + F

45 = 60 + F.

8 0

2 years ago

The area of a rectangle is 42 square feet.

Alchen [17]

Answer:

26 ft and 46 ft.

Step-by-step explanation:

The prime factors of 42 are 2 * 3 * 7.

Possible lengths and widths are:

L = 7, W = 6 giving a perimeter of 2*7 + 2*6 = 26 ft.

L = 14 , W = 3 giving perimeter = 34 ft.

L = 21, W = 2 giving perimeter = 46 ft.

3 0

2 years ago

What is the measure of one interior angle of a regular polygon that has 40 sides?

s344n2d4d5 [400]

Hope this is correct and hope it helps x

8 0

2 years ago