Let's use the furthest left point on the triangle to figure out the translation.
Blue triangle = (-5,1)
Black triangle = (-3,-1)
To get from -5 to -3 we moved the triangle 2 units to the right, which means that we added 2.
To get from 1 to -1, we moved the triangle 2 units down, which means we subtracted 2.
Rule: {2, -2}
Hope this helps!
If you set you the equations such as 3c+5w=23 and 6c+2w=20 and then solve the first equation for c, you get c= (23-5w)/3 Taking that equation and substituting it for 'c' in the second equation (so the second equation becomes: 6((23-5w)/3)+2w=20 ) you get w=3.25 If you plug that back into your first equation (so it now becomes: 3c+5(3.25)=23 ) you get c=2.25 So the answer would be walnuts cost $3.25 per lb and choc. chips cost $2.25 per lb.
Answer:
The 95% confidence interval for the mean change in blood pressure, 
, is 1.744 < < 2.816
Step-by-step explanation:
The parameters given are;
The number of people in the sample, n = 9
The average drop in blood pressure, = 2.28 points
The standard deviation, σ = 0.82
The confidence level = 95%
The formula for confidence interval with a known mean is given as follows;
Where:
= z - score at 95% confidence level = 1.96
We therefore have;
Which gives the 95% confidence interval for the mean change in pressure, , is given as follows;
1.744 < < 2.816
Answer:
32
Step-by-step explanation:
Our total is x.
Maysa took half of the cherries, so there is .5x left.
Nabilla took half of the remaining, so that is .5*0.5x, which is .25x
Abdulla took 3.
Your equation is:
.25x-3=5
.25x=8
x=32
So there are 32 cherries
