Answer:
=========
<h2>Given</h2>
<h3>Line 1</h3>
<h3>Line 2</h3>
- Passing through the points (4, 3) and (5, - 3)
<h2>To find</h2>
- The value of k, if the lines are perpendicular
<h2>Solution</h2>
We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.
Find the slope of line 1 by converting the equation into slope-intercept from standard form:
<u><em>Info:</em></u>
- <em>standard form is ⇒ ax + by + c = 0, </em>
- <em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>
- 3x - ky + 7 = 0
- ky = 3x + 7
- y = (3/k)x + 7/k
Its slope is 3/k.
Find the slope of line 2, using the slope formula:
- m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6
We have both the slopes now. Find their product:
- (3/k)*(- 6) = - 1
- - 18/k = - 1
- k = 18
So when k is 18, the lines are perpendicular.
Multiply the base × height to find the area of each
UVX and RSV should be corrisponding angles
The probability for the z-score is greater than or equal to 1.4 is 0.08076 or 8.076 %.
<h3>What is a z-score?</h3>
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The probability for the z-score is greater than or equal to 1.4 is given as
P(z ≥ 1.4) = 1 - P( z < 1.4}
P(z ≥ 1.4) = 1 - 0.91924
P(z ≥ 1.4) = 0.08076
P(z ≥ 1.4) = 8.076 %
More about the z-score link is given below.
brainly.com/question/13299273
It would be D because it’s a non repeating decimal
