Answer:
Step-by-step explanation:
Parallel ⇒ So the slopes will definitely be equal
So,
Slope = m = 5
Now,
Point = (x,y) = (4,5)
So, x = 4, y = 5
Putting these in the slope intercept form to get b
5 = (5)(4) + b
5 = 20 + b
b = -20+5
b = -15
So, Putting m and b in the slope intercept form to get the required equation,
The state will issue 4,56,97,354 plates
When anumber is multiplied by itself a finite number of times, the number being multiplied is called the base number, and the number of times it is being multiplied is called the exponent. Suppose a number is being multiplied by itself n number of times, then this expression is called the nth power of the given number.
Given:
Number of letters = 4
Number of numerals = 3
As 246 letter arrangements are not allowed.
So, we have total 26 letters.
and numbers from 0 to 9.
So, the number of plates will be
= 26*26*26*26*10*10
=(26)^4 * (10)^2
= 45697600
Now, deducted those 246 letter arrangements which are not allowed
= 45697600 - 246
= 4,56,97,354
Hence, the state will issue 4,56,97,354 plates.
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Answer:
So now D would be at (-4 , 2)
Step-by-step explanation:
From D, you can calculate every other letter’s location. Yeah.
Answer:
Please mark me as brainliest!
Step-by-step explanation:
The coordinates:
D: ( 2,6 )
A: ( 2, 1 )
B: ( 5, 1 )
C: ( 5, 6 )
You want to translate this down 4 units and left 6 units.
So what you would do is this:
Formula = ( x - 6 , y - 4 )
D: ( -4, 2 )
A: ( -4, -3 )
B: ( -1, -3 )
C: ( -1, 2 )
The answer would be -3 13/81 (simplified)
Answer:
y = (-1/19)(x - 8)² + 1521/76
Step-by-step explanation:
A parabola moves in such a way that it's distance from it's focus and directrix are always equal.
Now, we are given that directrix is y = 9.75 and focus is at (8, 0.25). Focus can be rewritten as (8, ¼) and directrix can be rewritten as y = 39/4
If we consider a point with the coordinates (x, y), it means the distance from this point to the focus is;
√((x - 8)² + (y - ¼)²)
Distance from that point to the directrix is; (y - 39/4)
Thus;
√((x - 8)² + (y - ¼)²) = (y - 39/4)
Taking the square of both sides gives;
((x - 8)² + (y - ¼)²) = (y - 39/4)²
(x - 8)² + y² - ½y + 1/16 = y² - (39/2)y + (39/4)²
Simplifying this gives;
(x - 8)² - (39/4)² = (½ - 39/2)y
(x - 8)² - 1521/4 = -19y
(x - 8)² - 1521/4 = -19y
Divide both sides by -19 to get;
y = (-1/19)(x - 8)² + 1521/76
Which expression represents the volume of the cone, in
cubic units?
Piex2
2piex3
o 1/3piex?
o 1/12piex
Answer:
For this case we know that the diameter and height of a cone are both equal. That means:
With with r the radius. The volume of a cone is given by:
And for this case we know that h =x and so then
And replacing we got:
And the best option would be:
1/12pix^3
Step-by-step explanation:
For this case we know that the diameter and height of a cone are both equal. That means:
With with r the radius. The volume of a cone is given by:
And for this case we know that h =x and so then
And replacing we got:
And the best option would be:
1/12pix^3