Answer:
slope-intercept form: y= -5/4x-1
Step-by-step explanation:
(0,-2)(4,6)
first we find the slope by using the slope formula : slope(m) = (y2 - y1)/(x2 - x1)
slope(m) = (6 - (-2) / (4 - 0) = (6 + 2)/4 = 8/4 = 2
point slope form : y - y1 = m(x - x1)... 2 answers are possible
y - y1 = m(x - x1)
slope(m) = 2
using points (0,-2)....x1 = 0 and y1 = -2
y - (-2) = 2(x - 0)
y + 2 = 2(x - 0) <=== here is one answer
y - y1 = m(x - x1)
slope(m) = 2
using points (4,6)...x1 = 4 and y1 = 6
y - 6 = 2(x - 4) <== here is the other answer
Answer:
B is at the origin. D is on the x-axis.
Step-by-step explanation:
For a point to be at the origin, it lies at the intersection of both the x- axis and the y - axis. Both axes intersect at the origin. So, point B is at the origin.
For a point to be on the x - axis, its coordinate on the y- axis is zero. So, for a point on the x- axis with coordinate, x, it is the point (x,0) and it lies on the x axis. So, point D is on the x - axis.
For a point to be on the y - axis, its coordinate on the x - axis is zero. So, for a point on the y- axis with coordinate, y, it is the point (0,y) and it lies on the x axis. So, point A is on the y - axis.
The point C which is at (1,2) lies in the plane x-y since it has both x and y coordinates.
Question:
Choose an equivalent expression for 12^3 • 12^9 • 12^4 • 12^2
A. 12^4 B. 12^18 C. 12^35 D. 12^216
Answer:
Step-by-step explanation:
Given
Required
Determine the equivalent
Applying law of indices, we have:
Hence:
Problem 16)
We use ASA (angle side angle) to show the two triangles are congruent. Why ASA instead of AAS? Because the single pair of sides are between the two angles.
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Problem 18)
Similar to problem 16, we'll have two pairs of congruent angles, and a pair of congruent sides. However, the sides are NOT between the two angles. So that means we use AAS in this case.
