Okay, 3x just means 3•x. so 3•x-y=15. you would have to have what x and y both mean to get the correct answer. but if they just need it simplified than your answer would be 3•x-y=15
Answer:
sec Θ = 
Step-by-step explanation:
Using the trigonometric identity
sec²Θ = tan²Θ + 1
Since 270° < Θ < 360° ← that is fourth quadrant, then
sec Θ > 0, thus
sec²Θ = (- 
)² + 1 = 
+ 1 = 
, then
sec Θ = 
=
To find the product of (4x-5y)^2,
we can rewrite the problem as:
(4x-5y)(4x-5y) (two times because it is squared)
Now, time to use that old method we learned in middle school:
FOIL. (Firsts, Outers, Inners, and Lasts)
FOIL can help us greatly in this scenario.
Let's start by multiplying the 'Firsts' together:
4x * 4x = <em>16x^2</em>
Now, lets to the 'Outers':
4x * -5y = <em>-20xy</em>
Next, we can multiply the 'Inners':
-5y * 4x = <em>-20xy</em>
Finally, let's do the 'Lasts':
-5y * -5y = <em>25y</em>^2
Now, we can take the products of these equations from FOIL and combine like terms. We have: 16x^2, -20xy, -20xy, and 25y^2.
-20xy and -20xy make -40xy.
The final equation (product of (4x-5y)^2) is:
16x^2 - 40xy + 25y^2
Hope I helped! If any of my math is wrong, please report and let me know!
Have a good one.
<h3><u>Question:</u></h3>
Serena uses chalk to draw a straight line on the sidewalk. The line is 1/2 ft long. She wants to divide the line into sections that are each 1/8 ft long. How many sections will the line be divided into?
<h3><u>Answer:</u></h3>
The number of sections that the line is divided is 4
<h3><u>Solution:</u></h3>
Given that, Serena uses chalk to draw a straight line on the sidewalk
The line is 1/2 ft long. She wants to divide the line into sections that are each 1/8 ft long
From given,
To find: Number of sections can be made
The number of sections that can be made is found by dividing the total length of line by length of each section
Substituting the values, we get,
Thus number of sections that the line is divided is 4
Answer:
5 hours
Step-by-step explanation:
We know that Joey spent a total of $325. He first paid the fee of $150. Let's subtract $150 from $325.
$325 - $150 = $175
Now, we know that it costs $35 per hour to rent the car. So, we divide $175 by $35 to find out how many hours Joey rented the car for.
$175 ÷ $35 = 5 hours
