The answer is 0.2 when it is fully simplified
The new coordinates of E are (13 , 179)
Step-by-step explanation:
Let us revise some transformation
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
∵ p(x) = x²
∵ The graph p is transformed such that the new graph represents
the function f(x)
∵ f(x) = (x + 8)² - 5
∴ x of p(x) is add by 8 and p(x) subtracted by 5
- By using the 2nd and 4th rule above
∴ The graph of p(x) is translated 8 units left and 5 units down
∵ Point E (21 , 184) lies on the graph of the parent function p(x)
∴ Point p translated 8 units to the left and 5 units down
- That means subtract 8 from its x-coordinate and 5 from its
y-coordinate
∴ The new coordinates of E = (21 - 8 , 184 - 5)
∴ The new coordinates of E = (13 , 179)
The new coordinates of E are (13 , 179)
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You can learn more about translation in brainly.com/question/2415963
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Set the to equal:
x^2 - 4x+4 = 2x-4
solve for X
subtract 2x from each side:
x^2 -6x + 4 = -4
subtract 4 from each side:
x^2 -6x = -8
add 8 to both sides:
x^2 -6x +8 = 0
factor the polynomial:
x = 4 and x = 2
using the line equation replace x with 2 and 4 and solve for y
y = 2(2) - 4 = 0
y = 2(4)-4 = 4
so the 2 points the line crosses the curve is (2,0) and (4,4)
using those 2 points you can calculate the length:
distance = sqrt((x2-x1)^2 +(y2-y1)^2
distance = sqrt( (4-2)^2 + (4-0)^2)
distance = sqrt (2^2 + 4^2)
distance = sqrt (4+16)
= sqrt 20
= 2 sqrt(5) EXACT LENGTH
Answer:
The first graph will be correct.
Step-by-step explanation:
The given inequality is y + 5 < x .......... (1)
Now, straight-line y + 5 = x will be the reference line of the solution of the given inequality (1).
Now, y + 5 = x
⇒ x - y = 5
⇒ 
......... (2)
This equation is in intercept form and the straight line will pass through the points (5,0) and (0,-5)
Now, point (5,0) does not satisfy inequality (1) and hence, the line (2) is not included in the solution of the inequality (1).
Now, (0,0) point is above the line (2), but (0,0) point also does not satisfy inequality (1) as 
.
Therefore, the solution of the inequality is below the line (2) but not including the line.
Hence, the first graph will be correct. (Answer)
Answer: i am good,how are you?
Step-by-step explanation:
