First find the slope of the reference line:
2x+4y=-6 subtract 2x from both sides
4y=-2x-6 divide both sides by 4
y=-2x/4-6/4
So the slope of the reference line is -2/4=-1/2
For two lines to be perpendicular, the product of their slopes is negative one. Or you could say that the slopes are negative reciprocals of one another, mathematically perpendicular lines slopes will satisfy:
m1*m2=-1, in this case we have:
-1m/2=-1
-1m=-2
m=2
So the perpendicular line in this case has a slope of 2. The slope intercept form of a line is:
y=mx+b and we found than m=2 so:
y=2x+b, and using the point (2,5) we can solve for b
5=2(2)+b
5=4+b
1=b so the perpendicular line passing through the point (2,5) is:
y=2x+1
Answer:64
Step-by-step explanation:
67
Answer:
Step-by-step explanation:
Let us begin with the AA Similarity definition. It states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
This means that we need:
- An angle of one triangle that is congruent to an angle of the other triangle.
- Another angle of one triangle that is congruent to another angle of the other triangle.
For this problem, it is unclear that there are more than one angles that are congruent to each other. We see that angle <DEF and <ABC are congruent, but the problem does not give any other angles. In another case, we must find one more to prove similarity by the AA similarity theorem.
Answer: The slope is - 1/2.
Step-by-step explanation:
Answer:
A) 3hrs
Step-by-step explanation:
Fission is the action of dividing or splitting something into two or more parts.
So, we're going to continuously multiply our answers by 2 until we get 360
10 x 2 = 20 30min
20 x 2 = 40 1hr
40 x 2 = 80 1hr 30min
80 x 2 = 160 2hrs
160 x 2 = 320 2hrs 30min
320 x 2 = 630 3hrs
