Answer:
8/9
Step-by-step explanation:
divide both numerator and denominator by 3
therefore u get 8/9
The rule for the reflection
rx-axis (x, y) → (x, –y)
ry-axis (x, y) → (–x, y)
<h3>Further explanation</h3>
A reflection is an example of a transformation
Reflection is the process of mirroring each point on the geometry of a certain line.
The original figure is called the pre-image and the final figure is called the image
The image will be congruent with the pre image and the distance of the image to the mirror axis is the same as the distance of the pre image to the mirror axis
There are several reflection equations:
- The equation of reflection across the<em><u> x-axis
</u></em>
x '= x
y '= - y
can be written
- The equation of reflection across the <u><em>y-axis
</em></u>
x '= x
y '= -y
can be written
- The reflection equation across the line <u><em>y = -x
</em></u>
x '= - y
y '= - x
can be written
- The reflection equation across the line x = h
x '= 2h-x
y '= y
can be written
- The reflection equation across the line y = k
x '= x
y '= 2k-y
can be written
So the correct rule for reflection is:
rx-axis (x, y) → (x, –y)
ry-axis (x, y) → (–x, y)
<h3>
Learn more</h3>
the rule for the reflection
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Keywords : reflection, y-axis
Answer:
D(L)/dt = 407,6 m/s
Step-by-step explanation:
Let call A the intersection point.
As the cars are driving from perpendicular directions, they form with a coordinates x and y, a right triangle, and distance between them is the hypotenuse (L), then
L² = x² + y²
Taking derivatives with respect to time we have:
2*L* D(L)/dt = 2*x *D(x)/dt + 2*y* D(y)/dt (1)
In this equation we know: At a certain time
x = 444 m and D(x)/dt = 10 m/s
y = 333 m and D(y)/dt = 666 m/s
And L = √(x)² + (y)² ⇒ L = √ (444)² +( 333)² ⇒ L = √197136 + 110889
L = √308025
L = 555 m
Thn plugin these values in euatn (1) we get
2* 555 * D(L)/dt (m) = 2* 444* 10 + 2*333*666 (m*m/s)
D(L)/dt = ( 4440 + 221778)/555 (m/s)
D(L)/dt = 407,6 m/s
Answer:
b(n) = -23 + 18n
Step-by-step explanation:
NOTE - This is an arithmetic sequence, so each number is increasing by addition. If you were in a geometric sequence, however, you'd be multiplying. This means that the explicit formula for the geometric sequence you'll be learning later on will be different.
The formula for explicit formula is b(n)=b(1)+d(n-1). The variable d represents the common difference and the a is whatever number of the term you are using.
Since you have b(1), you look at what your first term is. Plug -5 into a(1).
To find your common difference, find 13-(-5). This is 18, and adding it to the others you can see that it continues.
So, plugging in what you have so far it looks like b(n) = -5 + 18(n - 1)
All we need to do now is simplify.
1. Distribute: -5 + 18n - 18
2. Add like terms: -23 + 18n
Hope this helped and made sense lol.
Answer:
The amount earned is 2,600
Step-by-step explanation:
In order to find the commission amount, start by multiplying the percentage by the amount sold. Then to find the total amount, add the flat rate.
30,000*.02 = 600
Then add the flat rate
600 + 2,000 = 2,600