Hi there!
When the slopes of two perpendicular lines are multiplied the outcome will be -1.
The slope is the number that is positioned in front of the variable x in the formula. In this case the slope of the given line is -2/5.
Let's call the slope of the perpendicular line m and take into account the given data of the question and my earlier explanation. We then find the following:
Divide both sides by - 2/5.
The answer is B.
~ Hope this helps you!
Before going to the range, it's better to discuss first about the symbols used in inequality expressions. These equations contain <, >, ≤ and ≥ in their equations. That is why there are solid and hollow figure when they are graphed. If the line is solid, that means points along that line are part of the solution. If not, then they are not part of the solution. The same applies for solid points and hollow points.
Now, the domain and range of a given function is basically the coverage of their x and y values that are part of the solution. If the point is along the solid lines and points, the domain or range is expressed either in [ or ], depending where it starts and ends. If the point is along the hollow lines and points, the domain or range is expressed either in ( or ), depending where it starts and ends. The ∪ symbol is added to connect domains and ranges through discontinuities.
Looking at the leftmost line, it starts from the hollow point (-7,-4) and ends on the solid point (-3,3). The range for this part is expressed as (-4,3]. Looking the rightmost line, it starts from the hollow point (-1,-3) and ends at the solid point (2,-8). The range for this part is expressed as (3,8]. Connecting the two ranges, the answer would be <span>(-4,3)U(3,8].</span>
Answer:
There are 801 box seats and 9612 regular seats.
explanation:
Let the number of box seats be x,
Then the regular seats is 12x
The sum of seats equals to 10,413
<u>Solve:</u>
12x + x ➙ 10,413
13x ➙ 10413
x ➙ 801
There are 801 box seats.
<u>Find for regular seats:</u>
➙ 12(x)
➙ 12(801)
➙ 9612
There are 9612 regular seats.
If the Amplitud is 11×2=22cm and the wave was in shm then we can get the wavelength as 11×2=22s.
From the wave equation,
v=fλ Where v⇒speed
f⇒frequency and
λ⇒Wavelength
And we know that;
f=1/T
f = 1/4 =0.25 Hz
∴v = 0.25 ×22 = 5.5 cm/s
Since we know know the speed of the object we can get its time it takes from (0-6.5) cm.
v = fλ = λ/T
∴T = λ/v
= 6.5/5.5
= 1 2/11
= 1.181818s
The time taken for the object <span>to move from x = 0.0 cm to x = 6.5 cm is </span>1.181818s
