Answer:
5.025m
Step-by-step explanation:
The clothesline also creates an upside-down triangle with two sides being 5m, 0.5m, and the hypotenuse being the clothesline.
We can use the pythagorean theorem to find the length of the clothesline.
5 squared +.5 squared= the length of the clothesline squared
25+.25= the square root of 25.25
= 5.025
Answer:
<em>See the graph with both lines attached</em>
A) From the tables we see the constant change of values in the second column and the initial value is zero.
This represents a proportional relationship for both tables.
B) <u>Revel</u>
- Rate of change is 5 per hour, the equation is:
- y = 5x, where y is cost, x - is the number of hours
<u>Scooters</u>
- Rate of change is 6 per hour, the equation is:
- y = 6x, where y is cost, x - is the number of hours
C) <u>When x = 12</u>,
- y = 5*12 = $60 for Revel
- y = 6*12 = $72 for Scooters
D) <u>The point (4, 24) represents that:</u>
- The cost of 4 hours is $24
E) The second table has confusing titles (days and number of cell phones) but if we assume its same as the first table, then Revel has lower rate as 5 < 6.
Comparing the prices and the graph, Revel has better rate per hour.
Answer:
In step-by-step-explanation
Step-by-step explanation:
2) ( x + 1 ) * ( x - 7 ) = x² - 7x + x - 7 ⇒ x² - 6x - 7
In x² - 6x - 7 a = 1 b = -6 c = -7
3) ( x + 9 ) * ( x + 2 ) = x² + 2x + 9x + 18 ⇒ x² + 11x + 18
In x² + 11x + 18 a = 1 b = 11 c = 18
4) ( x - 5 ) * ( x - 3 ) = x² - 3x - 5x + 15 ⇒ x² - 8x + 15
In x² - 8x + 15 a = 1 b = -8 c = 15
5) ( x + 15 ) * 2 * ( x - 1 ) ⇒ ( x + 15 ) * ( 2x - 2 ) ⇒ 2x² -2x + 30x - 30
2x² + 28x - 30 a = 2 ² b = 28 c = 30
6) ( x - 5 ) * ( 4x - 3 ) ⇒ 4x² - 3x - 20x + 15
In 4x² - 3x - 20x + 15 ⇒ a = 4 b = -20 c = 15
Answer:

Step-by-step explanation:
<u><em>The complete question is:</em></u>
Find the equation of the line that passes through: (-5, 5), and is perpendicular to the line y = 5/9x - 4
step 1
Find the slope of the line
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
The equation of the given line is

The slope of the given line is

The opposite reciprocal is equal to
----> slope of the perpendicular line
step 2
Find the equation of the line in point slope form

we have


substitute

step 3
Convert to slope intercept form
Isolate the variable y

I think it is d-b=c-a, I'm not really sure