The equation of <em>line m</em>, in point-slope form is: y + 3 = 4(x - 1)
<em><u>Recall:</u></em>
- The slopes of parallel lines are equal to each other.
- Slope-intercept form equation is: y = mx + b, where m is slope and b is y-intercept.
- Point-slope form equation is:
where,
is a point and m is the slope.
Equation of line m is y = 4x + 2
Slope of line m is 4
Since line m and line n are parallel, both lines will have the same slope. Therefore, the slope of line n is 4.
To write the equation for line if it contains the point (1, -3), substitute
= (1, -3) and m = 4 into
:

Therefore, the equation of <em>line n</em>, in point-slope form is: y + 3 = 4(x - 1)
Learn more about point-slope equation on:
brainly.com/question/24907633
Answer:
a) 
b) 
c) 
Step-by-step explanation:
a)
For a cone,

where L = slant height

We have r = 8 cm; h = 10 cm




b)



c)

empty space = volume of cylinder - volume of cone




Answer: 54 stitches
Step-by-step explanation:
12/2=6
6 stitches= 1 inch
X stitches=9 inches
X=54 stitches
Answer:
Number of Pennies = 30
Number of Dimes = 90
Step-by-step explanation:
Let the number of pennies be p and number of dimes be d
We can write 2 equations and use substitution method to solve.
<u>Total value of all the coins is 9.30:</u>
We can write:
0.01p + 0.1d = 9.30
Note: value of penny is 0.01 and dime is 0.1, in dollars
<u>Number of dimes is 3 times number of pennies:</u>
We can write:
d = 3p
Now putting 2nd equation in first and solving for p:
0.01p + 0.1(3p) = 9.30
0.01p + 0.3p = 9.30
0.31 p = 9.30
p = 9.30 /0.31
p = 30
Now we know d = 3p, so d = 3 (30) = 90
Hence
Number of Pennies = 30
Number of Dimes = 90