Given:
Two end points of a line segment are (7,2) and (10,-5).
To find:
The gradient of the given line segment.
Solution:
We know that, gradient of a line segment is the slope of that line segment.
The end points of the line segment are (7,2) and (10,-5), so slope or gradient of the line segment is
Therefore, the gradient of the given line segment is .
Answer:
2)=2
4)=3
5)=5
8)=-1
Step-by-step explanation:
just divide the number by the number with variable
17. y = -2/3x + 2
2/3x + y = 2
2x + 3y = 6 <==
18. y = 3x + 7....slope is 3. A parallel line will have the same slope.
y = mx + b
slope(m) = 3
(2,10)...x = 2 and y = 10
now sub and find b, the y int
10 = 3(2) + b
10 = 6 + b
10 - 6 = b
4 = b
so ur equation is : y = 3x + 4 <===
19. - 5x + 10y = 5
10y = 5x + 5
y = 1/2x + 1/2...slope is 1/2
y = -2x + 4....slope is -2
1/2 and -2 are negative reciprocals of each other....so ur lines are perpendicular
20. y = -1/4x + 8....slope is -1/4
-2x + 8y = 4
8y = 2x + 4
y = 1/4x + 1/2...slope here is 1/4
different slope and different y intercepts ...neither parallel or perpendicular
21. slope in the equation is 8/3. A perpendicular line will have a slope of -3/8.
y - y1 = m(x - x1)
slope(m) = -3/8
(-2,3)...x1 = -2 and y1 = 3
now we sub
y - 3 = -3/8(x - (-2) =
y - 3 = -3/8(x + 2) <==
Answer:
Step-by-step explanation:
The length of an arc with measure and radius is given by . From the figure, we know that the radius of arc ADC is 4, but we don't know the measure of the arc. Since there are 360 degrees in a circle, the measure of arc ADC is equal to the measure of the arc formed by subtracted from 360. The measure of the arc formed by consists of two congruent angles, and . To find them, we can use basic trigonometry for a right triangle, since by definition, tangents intersect a circle at a right angle.
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.
We have:
Therefore,
The measure of the central angle of must then be
Thus, the length of is equal to:
(three significant figures as requested by question).
Answer:
d
Step-by-step explanation: