What is the y-intercept of the equation of the line that is perpendicular to the line y = 3/5 x + 10 and passes through the poin
t (15, –5)?
The equation of the line in slope-intercept form is y = -5/3x+ ? ____
The equation of the line in slope-intercept form is y = -5/3x+ ? ____
1 answer:
The slope of the given line is the coefficient of x, 3/5. The slope of the perpendicular line is the negative reciprocal of that:
... m = -1/(3/5) = -5/3
The point-slope form of the equation of a line can be written as
... y = m(x -h) +k . . . . .for slope m and point (h, k)
Using the values we are given for the perpendicular line, its equation is
... y = (-5/3)(x -15) -5
Simplifying gives
... y = (-5/3)x +20
The y-intercept of the perpendicular line is 20.
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Answer:
Option (2)
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Point A is the midpoint of side XZ and point B is the midpoint of side YZ.
Triangle XYZ is cut by line segment AB. Point A is the midpoint of side XZ and point B is the midpoint of side YZ. The length of XY is (5x - 7), the length of AB is (x + 1), and the lengths of XA and ZA are (2x - 2). The lengths of YB and BZ are congruent.
What is AX ?
2 units
4 units
6 units
8 units
From the figure attached,
XYZ is a triangle having A and B as the midpoints of the sides XZ and YZ.
By the theorem of midpoints,
AB =
Since AB = (x + 1) and XY = (5x - 7)
(x + 1) =
2x + 2 = 5x - 7
5x - 2x = 2 + 7
3x = 9
x = 3
Therefore, side AB = 3 + 1 = 4 units
Side XY = (5x - 7)
= 15 - 7
= 8 units
Side XA = 2(x - 1)
= 4 units
Therefore, Option (2) will be the answer.
The graph of the relation between x and y is as shown in attached figure
By applying the vertical line test we find that the relation is not a function because there are two points which are (1,-1) , (1,3) have the same value of x with different values of y which contradicts with with the rule of function.
By applying the vertical line test we find that the relation is not a function because there are two points which are (1,-1) , (1,3) have the same value of x with different values of y which contradicts with with the rule of function.
The speed of the current is 40.34 mph approximately.
<u>SOLUTION: </u>
Given, a man can drive a motorboat 70 miles down the Colorado River in the same amount of time that he can drive 40 miles upstream.
We have to find the speed of the current if the speed of the boat is 11 mph in still water. Now, let the speed of river be a mph. Then, speed of boat in upstream will be a-11 mph and speed in downstream will be a+11 mph.
And, we know that,
We are given that, time taken for both are same. So