Answer:
A)3x + 4y = 8
Step-by-step explanation:
Given expression;
y = - 7
A line perpendicular to this will have negative inverse slope;
the slope of the given line =
perpendicular line =
Now;
the equation of the line is;
y = x - 7
multiply through by 4
4y = -3x - 28
4y + 3x = -28
Answer:
PR = 8
ST = 5
Please read the explanation below so next time you can do it yourself instead of resorting to an online answers forum. Enjoy~
Step-by-step explanation:
In the left side triangle, I know that triangles PQS and PRS are congruent, so PQ and PR measures must be equivalent.
This is because of SAS (Side Angle Side) theorem. The marked congruent sides (QS and RS), the right angle, and the shared side PS make the triangles congruent.
Using CPCTC (Corresponding Parts of Congruent Triangles are Congruent), PQ and PR are congruent, and therefore PR is 8.
Moving on to triangle on the right side. The triangles VST and VUT are congruent by AAS theorem (Angle Angle Side).
Using CPCTC again, ST and UT are congruent. This makes the equation:
5z = 2z+3
Easy Algebra from here. -2z both sides, making:
3z = 3
Then divide:
z = 1
Plug in z and now you got:
ST and UT = 5
There you go! Not sure if you read this but eh. You're welcome :)
Part A:
The probability that the birthday of three strangers were on Wednesday is given by
Part B:
The probability that the birthday of three strangers were on different days of the week is given by
Part C:
The probability that none of the three strangers were born on Saturday is given by
Answer:
1:5
Step-by-step explanation:
10 can be divided by by both numbers
Answer:
Ŷ = 1.3082X + 3.3436
Step-by-step explanation:
Given the data :
X : 11, 12, 4, 6, 13, 14, 8, 10, 7, 5, 9
Y : 18.69, 19.17, 6.13, 11.37, 19.31, 19.31, 15.28, 17.88, 13.49, 8.91, 16.75
Using technology, the data above gave the resulting linear regression model :
Ŷ = 1.3082X + 3.3436
Slope of model = 1.3082
Intercept = 3.3436
Scatter plot is attached below :