Answer:
x = -1
Step-by-step explanation:
The x value of the axis of symmetry is precisely halfway between the two given x-intercepts: -5 and 3 are 8 units apart. Add half of 8 units, or 4 units, to -5, to obtain:
-5 + 4 = -1
The equation of the axis of symmetry is therefore x = -1.
2= 2*1
6= 2*3
8= 2*4
8= 2*2*2
The lcm of these three numbers equals 2*2*2*3*1. Notice how we only multiply 3 sets of 2. This is because 2 is a common factor between all 3 of the numbers.
2*2*2*3*1= 24
Final answer: 24
It should be 10, when there is a double negative the signs become positive
You have the right idea so far, but you forgot to finish it up.
Point slope form is
y - y1 = m(x - x1)
where m is the slope, and (x1,y1) is the point the line goes through. As you can see, we have infinitely many choices for (x1,y1). If you use the y intercept point (0,5), then
y - y1 = m(x - x1)
y - 5 = -1(x - 0) ..... this is one of infinitely many possible answers
OR
If you use the point (2,3), then we'd say
y - y1 = m(x - x1)
y - 3 = -1(x - 2) ..... which is another possible answer
There are infinitely many other choices, but I'm only picking the points in which your teacher has shown as big dots.
By the way, nice work on getting the correct answer for the slope-intercept form.
Answer:
Step-by-step explanation:
You don't need the Law of Cosines, the Law of sines if what you need. You can't use the Law of Cosines because in order to find side a, you would need the length of side c and you don't have it. Using the Law of Sines is appropriate, knowing that angle B = 55:
and solving for a:
so
a = 143.0
