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umka2103 [35]
2 years ago
11

Use the point and the slope to graph each line. Write the equation of the line. The line contains point (2, –2) and is perpendic

ular to a line with slope –1.
Mathematics
2 answers:
ss7ja [257]2 years ago
8 0

Answer:

y = x - 4

Step-by-Step Explanation:

Perpendicular lines have slopes that are negative reciprocals—multiplying their slopes result in -1.

Given the slope of a line m = -1, then it means that the slope of the other line must be 1 (because multiplying the slope of line 1  (m1 = -1), and the slope of the other line (m2 = 1) results in: -1 × 1 = -1).

Therefore, given the slope of line 2 (m2 = 1), and the point (2, -2), we could plug these values into the slope-intercept form and solve for the y-intercept (b):

y = mx + b

-2 = 1(2) + b

-2 = 2 + b

Subtract 2 from both sides to solve for b:

-2 - 2 = 2 - 2 + b

-4 = b

Therefore, the y-intercept (b) = -4.

Hence, the equation of the perpendicular line is: y = x - 4

Please mark my answers as the Brainliest if you find my explanation helpful :)

Montano1993 [528]2 years ago
5 0
The answer is Y=x-4 hope this helps
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Svetlanka [38]

Answer:

Option B is the right choice.

Step-by-step explanation:

Given:

An are CE and an inscribed angle CBE.

Measure of inscribed angle CBE = 25 °

We have to find the measure of the arc CE.

Concept:

  • An inscribed angle is an angle with its vertex on the circle.
  • The measure of an inscribed angle is half the measure the intercepted arc.
  • Measure of inscribed angle = 1/2 × measure of intercepted arc .

To find the measure of arc CE.

⇒ \angle CBE = \frac{1}{2} \times m\ (arc\ CE)

⇒ 2\times \angle CBE = m\ (arc\ CE)

⇒ 2\times 25 = m\ (arc\ CE)

⇒ 50 = m\ (arc\ CE)

Measure of intercepted arc CE = 50 degrees.

The measure of arc CE = 50° so, option B is the right choice.

4 0
3 years ago
Please answer this. thank you
Rama09 [41]

Answer:  (-\infty, -4]

Curved parenthesis at negative infinity

Square bracket at -4

====================================================

Work Shown:

5(x+4) \le 0 \\\\x+4 \le \frac{0}{5} \\\\x+4 \le 0 \\\\x \le 0-4 \\\\x \le -4 \\\\

The last inequality shown above is the same as saying -\infty < x \le -4

Converting this to interval notation leads to the final answer of (-\infty , -4]

Note the use of a square bracket at -4 to include this endpoint. We can never include either infinity, so we always use a parenthesis for either infinity.

5 0
2 years ago
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