Answer:
y + 10 = 7/8(x - 4)
or
y = 7/8x -27/2
Step-by-step explanation:
Parallel lines have the same slope. This enables that they never cross. The slope of the line y = 7/8x - 3 is 7/8. So the slope of the parallel line is also 7/8.
Substitute m = 7/8 and (4,-10) into the point slope form of the line:
y - -10 = 7/8 (x - 4)
y + 10 = 7/8(x - 4)
Simplify to get the equation in y = mx+b.
y + 10 = 7/8 x - 28/8
y + 10 = 7/8x -7/2
y = 7/8x -27/2
Answer:
diameter = 2.5 feet
Step-by-step explanation:
Circumference of a circle is given as C = πd
Circumference of the tree trunk = 7.85 ft
π = 3.14
Diameter of the tree trunk = d
Thus:
7.85 = 3.14*d
Divide both sides by 3.14
7.85/3.14 = 3.14*d/3.14
2.5 = d
d = 2.5 ft
Answer:
-8 - 3 = - 11
Step-by-step explanation:
(-1)(8) + (-1)(3)
Answer:
(a) 7 essays and 29 multiple questions
(b) Your friend is incorrect
Step-by-step explanation:
Represent multiple choice with M and essay with E.
So:
--- Number of questions
--- Points
Solving (a): Number of question of each type.
Make E the subject of formula in 

Substitute 36 - M for E in 


Collect Like Terms


Divide both sides by -4


Substitute 29 for M in 


Solving (b): Can the multiple questions worth 4 points each?
It is not possible.
See explanation.
If multiple question worth 4 points each, then
would be:

Where x represents the number of points for essay questions.
Substitute 7 for E and 29 for M.


Subtract 116 from both sides



Make x the subject

Since the essay question can not have worth negative points.
Then, it is impossible to have the multiple questions worth 4 points
<em>Your friend is incorrect.</em>