Answer:
P' = (4, 4)
Step-by-step explanation:
T(x, y) is a function of x and y. Put the x- and y-values of point P into the translation formula and do the arithmetic.
P' = T(8, -3) = (8 -4, -3 +7) = (4, 4)
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<em>Comment on notation</em>
The notation can be a little confusing, as the same form is used to mean different things. Here, P(8, -3) means <em>point P</em> has coordinates x=8, y=-3. The same form is used to define the translation function:
T(x, y) = (x -4, y+7)
In this case, T(x, y) is not point T, but is <em>a function named T</em> (for "translation function") that takes arguments x and y and gives a coordinate pair as a result.
x = 4
A line with an undefined slope is a vertical line parallel to the y-axis and passing through all points with the same x-coordinate. For this reason it's equation is x = c where c is the value of the x-coordinate it passes through.
line passes through (4, 3 )
Hence equation is x = 4
(22,12) m=4
y=mx+b
12=4*22+b
12=88+b
subtract 88 from each side
b=-76
y = 4x-76
subtract 4x from each side
-4x+7 = -76
Choice A
Answer:
The x-coordinate is \dfrac{\pi}{6}[/tex].
Step-by-step explanation:
We are given a function f(x) as:
Now on differentiating both side with respect to x we get that:
When 
this means that 
Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval ![[0,\pi]](https://tex.z-dn.net/?f=%5B0%2C%5Cpi%5D)
.
also we know that 
----(1) (which lie in the second quadrant)
so on comparing our equation with equation (1) we obtain:
Hence, the x-coordinates where for 
is 
.
Answer:
102
Step-by-step explanation:
2(3)³ + 3(6-2)2
2 (27) + 3(4)2
54 + 48
102
