Answer:
<h3>8</h3>
Step-by-step explanation:
If a coordinate point (x, y) is dilated by a factor k, then the resulting coordinate will be (kx, ky)
Given the coordinate (4,1), if this coordinate is dilated by a factor of 2 then the new coordinate points will be at (2(4), 2(1))
New point = (8, 2)
Hence x-coordinate of one of the the end point of the dilated segment is 8
The binomial expansion:
a = 2y, b = 4 x^3, n = 4
( x )^3k = x^ 9
k = 3
Answer: the coefficient is
512.
Answer:
7. 2355 m
8. 1570 km
9. 157 cm
10. 40.82 m
Step-by-step explanation:
The circumference of a circle is pi * diameter or 2 * pi * radius.
If you are given the diameter, just multiply it by pi, 3.14.
If you are given the radius, then multiply the radius by 2 and then by pi, 3.14.
7. d = 750 m
circumference = pi * d = 3.14 * 750 m = 2355 m
8. d = 500 km
circumference = pi * d = 3.14 * 500 km = 1570 km
9. r = 25 cm
circumference = 2(pi)r = 2 * 3.14 * 25 cm = 157 cm
10. r = 6.5 m
circumference = 2(pi)r = 2 * 3.14 * 6.5 m = 40.82 m
Answer:
The vertex is (3,4)
Step-by-step explanation:
f (x) = x^2 - 6 x + 13
Completing the square
-6/2 = -3 and squaring it = 9
= x^2 -6x +9 +4
= ( x-3) ^2 +4
The equation is now in vertex form
a( x-h) ^2 +k
where the vertex is ( h,k)
The vertex is (3,4)
To write this equation in simplest form, we simply need to combine all like terms. The like terms in this particular expression are the terms with an n-variable and the terms with no variable. So we can combine them to simplify our expression.
5n - 6 + n - 1
First step, we can reorder our terms so that like terms are near each other
5n + n - 6 - 1
Now we can combine easily
(5n + n) - (6 - 1)
6n - 5
And that is your simplified expression.
5n - 6 + n - 1 in simplest form is 6n - 5.
Hope that helped! =)
