The generic equation of the line is:
y-yo = m (x-xo)
Where, the slope is:
m = (y2-y1) / (x2-x1)
m = (1-4) / (2 - (- 1))
m = (1-4) / (2 - (- 1))
m = (- 3) / (3)
m = -1
We choose an ordered pair:
(xo, yo) = (- 1, 4)
Substituting values:
y-4 = -1 (x + 1)
Rewriting:
y = - x - 1 +4
y = -x + 3
Answer:
The equation of the line, in slope-intercept form, that contains the points (-1, 4) And (2,1) is:
y = -x + 3
Step-by-step explanation:
the volume of :
cone = ⅓π.r².r= ⅓π.r³
cylinder = π.r²r= π.r³
Sphere = 4/3 π.r³
for r = 9 in =>
the volume of:
14. cone = ⅓.π.9³= ⅓π × 729 = 243π in³
15. cylinder = π.9³ = 729π in³
16. Sphere = 4/3 π.9³ = 972π in³
17. the volume ratio among cone, cylinder and Sphere is : ⅓ : 1 : 4/3 =
1 : 3 : 4
Answer:
−y−1=3
Step-by-step explanation:
Which equation can be used to find the solution of (1/4)^y+1=64?
This can be solved by power of indices
(1/4)^(y+1)=64
(4^-1)^(y + 1)= 4^3
Note
(x^a)^b = x^ab
Hence:
4^(-1)(y + 1)= 4^3
4^-y - 1 = 4^3
Divide both sides by 4
−y−1=3
Hence, the equation that can be used to find the solution of (1/4)^y+1=64 is
−y−1=3
Answer:
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , the sample means with size n of at least 30 can be approximated to a normal distribution with mean and standard deviation
In this problem, we have that:
So
Answer: £54.60
Step-by-step explanation:
7.80 x 7 = £54.60
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