Answer:
y=-x-5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-8-(-1))/(3-(-4))
m=(-8+1)/(3+4)
m=-7/7
m=-1
y-y1=m(x-x1)
y-(-1)=-1(x-(-4))
y+1=-1(x+4)
y+1=-x-4
y=-x-4-1
y=-x-5
Please mark me as Brainliest if you're satisfied with the answer.
Graph the line using the slope and y-intercept, or two points.
Slope= -5
y- intercept= (0,2)
The answer has two points (0,2) and (1,-3) place them and then make a line going left through them.
1.64
2. 95%
Hope this helps you.
Answer:
LCM = 4590
Step-by-step explanation:
1. Find the prime factorization of 306
306 = 2 × 3 × 3 × 17
2. Find the prime factorization of 270
270 = 2 × 3 × 3 × 3 × 5
3. Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2 × 3 × 3 × 3 × 5 × 17
<h3>
Answer: 375</h3>
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Work Shown:
a = 300 = first term
r = 60/300 = 0.2 = common ratio
We multiply each term by 0.2, aka 1/5, to get the next term.
Since -1 < r < 1 is true, we can use the infinite geometric sum formula below
S = a/(1-r)
S = 300/(1-0.2)
S = 300/0.8
S = 375
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As a sort of "check", we can add up partial sums like so
- 300+60 = 360
- 300+60+12 = 360+12 = 372
- 300+60+12+2.4 = 372+2.4 = 374.4
- 300+60+12+2.4+0.48 = 374.4+0.48 = 374.88
and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.
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Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.
