Answer:
Step-by-step explanation:
Find the rate that was charged for Lara's time
rate = dollars / hour
The use this rate to calculate how many hours it took to clean Roy's house, since the rates are the same. Solve for hours.....
rate for Lara = dollars / hour = $150 / 3 hour = $50 / hour
rate for Roy = dollars / hour Solve for hours
multiply both sides by hours
(rate for Roy) (hour) = (dollars / hour) (hour)
(rate for Roy) (hour) = (hour) (dollars / hour) right side hours cancel
(rate for Roy) (hour) = (dollars) divide both sides by (rate for Roy)
(rate for Roy) (hour) / (rate for Roy) = (dollars) / (rate for Roy)
now the rate for Roy on the leftside cancel
(rate for Roy) (hour) / (rate for Roy) = (dollars) / (rate for Roy)
(hour) = (dollars) / (rate for Roy) Plug in $225 charged to Roy
and the $50 / hour rate
hour = $225 / ($50/hour) ( 1 over 1 / hour ) = hour
= $(225/50) hour think about 1 / (1/2) = 2 the same with units
hour = 4.5 hours
Geometry
This is not a right angle due to it having three acute angles, which clarifies this triangle is a acute triangle.
Assuming that you mean that the equation of line c is
We can deduce that the slope of line c is
since the slope is the coefficient multiplying x in the equation of a line. Since we want line d to be perpendicular to line c, their slope must be in the following relationship:
So, line d has slope 3/4 and passes through point (4,-4). Use the equation
to find the equation of line d, where
<h3>
Answer: 7, 4, 1, -2, -5</h3>
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Explanation:
The notation a(1) = 7 means that the first term is 7
The second term would be a(2) and so on.
To get a(2), we plug in n = 2 to find that...
a(n) = a(n-1) - 3
a(2) = a(2-1) - 3
a(2) = a(1) - 3
a(2) = 7 - 3
a(2) = 4
The second term is 4. We find this by subtracting 3 from the first term.
To get the third term, we repeat the same set of steps but now use n = 3
a(n) = a(n-1) - 3
a(3) = a(3-1) - 3
a(3) = a(2) - 3
a(3) = 4 - 3
a(3) = 1
This process is repeated as much as you want to generate as many terms as you want.
In short, you subtract 3 from each term to get the next term. This implies that we have an arithmetic sequence with starting term 7 and common difference -3.
So that's how we end up with the first five terms: 7, 4, 1, -2, -5
Answer:
81x² + 90x + 48y + 64
Step-by-step explanation:
(9x+8)² = (9x+8)(9x+8) = 9x*9x + 9x*8 + 8*9x + 8*8 = 81x² + 72x + 72x + 64
= 81x² + 144x + 64
then:
(9x+8)² -54x+48y = (81x² + 144x + 64) -54x + 48y = 81x² + 90x + 48y + 64