Since is the square of x and 6x is twice the product between x and 3, the second square must be 3 squared, i.e. 9.
So, if we think of 15 as 9+6, we have
Which is the required vertex form. This form tells us imediately that the vertex is the point (3,6).
Since the leading coefficient is 1, the parabola is facing upwards (it's U shaped), so the vertex is a minimum.
Answer:
AC=44
Step-by-step explanation:
Two triangles are congruent
So the equation is
3z+17=6z-10
6z-3z=17+10
3z=27
z=9
So AC =
6.9-10
54-10
44
Answer:
160
Step-by-step explanation:
Consecutive numbers have a difference of 1 between them.
Let n be the first number then n + 1 and n + 2 are the second and third numbers. Summing them gives
n + n + 1 + n + 2 = 477, that is
3n + 3 = 477 ( subtract 3 from both sides )
3n = 474 ( divide both sides by 3 )
n = 158
The 3 consecutive numbers are 158, 159, 160
The third number is 160
Answer:
<em>10</em>
Step-by-step explanation:
<em>5x = x20</em>
<em>x · x = 20 · 5</em>
<em>x2 = 100</em>
<em>x = 10</em>
Answer:
43.8, 36.7, <u>29.6</u>, 22.5,...
Step-by-step explanation:
This sequence is f(n) = 43.8 – 7.1(n–1).
where f(n) is the nth term/number