Answer: y=2x+2
Step-by-step explanation:
slope-intercept form: y=ax+b
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#1 Find the slope
- Use rise/run to find the slope: 8/4=2
- Use slope formula: (2-(-6))/(0-(-4))=8/4=2
#2 Find the y-intercept
- Given the point (2, 0) it is already the y-intercept which is 2
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a=2
b=2
y=2x+2
Answer:
33+12t−21t^2
Step-by-step explanation:
(2t-7)²-(5t-4)²
Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (2t-7)².
4t^2−28t+49−(5t-4)²
Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (5t-4)².
4t^2−28t+49−(25t^2−40t+16)
To find the opposite of 25t^2
−40t+16, find the opposite of each term.
4t^2−28t+49−25t^2−40t+16
Combine 4t^2 and −25t^2 to get −21t^2.
−21t^2−28t+49+40t−16
Combine −28t and 40t to get 12t.
−21t^2+12t+49−16
Subtract 16 from 49 to get 33.
−21t^2+12t+33
Swap terms to the left side.
33+12t−21t^2
I hope this helped!
4:5
explanation-
Express the given ratios as fraction
4 : 5 = 4/5 and 2 : 3 =2/3
Now find the L.C.M (least common multiple) of 5 and 3
The L.C.M (least common multiple) of 5 and 3 is 15.
Making the denominator of each fraction equal to 15, we have
4/5 = (4 ×3)/(5 ×3) = 12/15 and 2/3 = (2 ×5)/(3 ×5) = 10/15
Clearly, 12 > 10
Now, 12/15 > 10/15
Therefore, 4 : 5 > 2 : 3.
Answer:
y=-3x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-8-7)/(4-(-1))
m=-15/(4+1)
m=-15/5
m=-3
y-y1=m(x-x1)
y-7=-3(x-(-1))
y-7=-3(x+1)
y=-3x-3+7
y=-3x+4
