Step-by-step explanation:
I'll do line A for you and you can use the formulas to solve lines B and C yourself, since its good for you to practice doing these questions yourself
a)
The gradient, m, is calculated using m = (y2-y1)/(x2-x1) where x1,x2,y1 and y2 can be any ordered pairs on the line. I'm going to use (4,0) and (7,3) as the 2 points.
m = (3-0)/(7-4) = 3/3 = 1
b)
The y-intercept is where the line intersects with the x-axis. In this case (0,-4)
c)
The equation of a linear line is y=mx+b (or c depending on which country you are from)
y = 1x-4
y=x-4
Now try the other 2 lines yourself!
If this answer has helped you, considered making this the brainliest answer!
Since it's literally cut in half, that means the triangle's area is literally half of the rectangle's area. Therefore, if we write it as
the triangle's area (a)=(1/2)*(b) (the rectangle's area) we can multiply 2 to both sides to get 2*a=b. Since a is (2x+10), we can plug it in and use the distributive property (since we just can't add up variables and integers) to get
2*(2x+10)=4x+20=b
Answer:
No. Hardy should have multiplied by the scale factor to find the missing length.
Step-by-step explanation:
Ravi had more marbles because if he gave Elliot 165 then you subtract 237-165 which is 72 which means now Ravi has less marbles but he has more then Elliot and now he has 72 marbles more then Elliot
Answer:
(17.736 ; 21.139)
Step-by-step explanation:
Given the data:
22 14 25 15 19 15 17 21 15 16 23 16 29 21 22 21
Confidence interval ; (C. I) :
Mean ± Zcritical * σ/sqrt(n)
The mean value for the data:
Mean = Σx / n
n = 16
Σx = 311
Mean = 311 / 16 = 19.4375
Zcritical at 90% = 1.645
σ = sqrt[Σ(x - mean)² / n]
Using calculator :
σ = 4.138
19.4375 ± 1.645 * 4.138/sqrt(16)
19.4375 ± 1.645 * 4.138/4
19.4376 ± 1.7017525
Lower bound = 19.4376 - 1.7017525 = 17.736
Upper bound = 19.4376 + 1.7017525 = 21.139
