Step-by-step explanation:
since the two lines are parallel, slope of the line is Sam so it's 3.
let eqn of the line be y = 3x + b.
sub (4, -2):
4 = 3(-2) + b
b = 10
therefore, equation of the line is y = 3x + 10
Topic: coordinate geometry
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Answer: 18.86 feet
Step-by-step explanation:
The formula for determining the circumference of a circle is expressed as
Circumference = πD
Where D represents the diameter of the circle.
The circumference of the inner circle is 44 ft. It means that
22/7 × D = 44
22D = 7 × 44 = 308
D = 308/22
D = 14 ft
The distance between the inner circle and the outer circle is 3 ft. This means that the diameter of the outer circle would be
14 + 3 + 3 = 20 ft
Circumference of the outer circle is
22/7 × 20 = 62.86 ft
The number of feet by which the circumference of outer circle is greater than the circumference of the inner circle is
62.86 - 44 = 18.86 feet
a. 3h = -12 + 5s
b. Speed = 51. 6 miles per hour
c. Height = 76 feet
<h3>How to determine the value</h3>
Given the function;
5s - 3h = 12
Where;
- s is the speed in miles per hour
- h is the height in feet
a. To solve for 3h
We have;
- 3h = 12 - 5s
3h = -12 + 5s
b. If the height is 82 feet , then
5s - 3(82) = 12
5s - 246 = 12
collect like terms
5s = 12 + 246
5s = 258
Make 's' the subject
s = 258/ 5
s = 51. 6 miles per hour
c. If the speed is 48 miles per hour, we have;
5(48) - 3h = 12
240 - 3h = 12
collect like terms
-3h = 12 - 240
-3h = -228
Make 'h' the subject
h = -228/ -3
h = 76 feet
Thus, the speed and height are 51. 6 miles per hour and 76 feet respectively.
Learn more about speed here:
#SPJ1
*11* 12 13 14 15 16
21 *22* 23 24 25 26
31 32 *33* 34 35 36
41 42 43 *44* 45 46
51 52 53 54 *55* 56
61 62 63 64 65 *66*
(36 combos)
6/36 or 1/6 probability or rolling doubles.
The answer is 8 weeks. $245- $125= $120. 120 divided by 15 is 8.
