Answer:
175,760, 000 plates
Step-by-step explanation:
There are 3 spots where there are 26 choices each
(=26^3)
and 4 spots where there are 10 choices each (the digits 0 through 9, =10^4). This gives:
26^3 x 10^4 = 175,760,000 plates
Hope this helps!
Answer:
Compare the given equation of the circle (x - 1)² + (y -2)² = 2²
with standard form of circle: (x - h)² + (y - k)² = r²
Here, (h, k) is the center of the circle
and r is the radius of the circle.
Thus, The center of the circle is: (1, 2)
Also, for finding the point of intersections of (x - 1)² + (y -2)² = 2² and y = 2x + 2,
Substitute the value of y from equation of line in the equation of circle.
(x - 1)² + (2x + 2 - 2)² = 2²
⇒ (x - 1)² + (2x)² = 2²
⇒ x² + 1 - 2x + 4x² = 4
⇒ 5x² - 2x - 3 = 0
Applying Middle term splitting method
5x² - 5x + 3x - 3 = 0
⇒ 5x(x - 1) + 3(x - 1) = 0
⇒ (5x + 3)(x - 1) = 0
⇒ x = 
and x = 1
Thus, we get coordinates: 
and (1, 4)
Hello there!
Let's use foil.
First: 4x * 2x = 8x^2
Outside: 4x * -9 = -36x
Inside: -7 * 2x = -14x
Last: -7 * -9 = 63
Now, let's combine these.
8x^2 - 36x - 14x + 63
Finally, we can simplify this
8x - 50x + 63
I hope I helped!
Let me know if you need anything else!
~ Zoe
The answer is the third option, which is:
<span> y = x^2 + 5x + 3
6x + y = −27
The explanation is shown below:
1. When you solve this problem you have the following solution:
x=-6
y=9
x=-5
y=3
2. As you can see the solution corresponds with the graph shown above.
3. You can give value to the variable x of the first equation and values to the x of the second equation, and plot each point obtain. You will see that the parabola and the line, touch each other at the points (-5,3) and (-6,9)</span>
Peprendicular lines have slopes that multiply to get -1
y=mx+b
m=slope
2x+y=4
minus 2x
y=-2x+4
slope is -2
-2 times what=-1
what=-1/-2
what=1/2
the slope is 1/2
