Answer:
Step-by-step explanation:
Use Pythagorean's Theorem for a right triangle. Your best bet when learning/visualizing word problems is to draw a picture, then learn how to visualize in your head over time.
The radical can be further simplified because 135 is the product of 9 and 15. 9 has a perfect root of 3.
meters or 11.62 meters
Answer:
see explanation
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given the equation in standard form : ax² + bx + c : a ≠ 0
then the x-coordinate of the vertex is
= -
j(x) = x² - 12x + 7 is in standard form
with a = 1, b = - 12 and c = 7, hence
= -
= 6
substitute x = 6 into j(x) for y- coordinate
y = 6² - 12(6) + 7 = 36 - 72 + 7 = - 29
vertex = (6, - 29 ) and
j(x) = (x - 6)² - 29 ← equation in vertex form
Answer:
Final cost = £779
Step-by-step explanation:
It is given that:
Cost of summer holiday = £650
Amount increased by 11%
Increased cost = 11% of 650
Increased cost =
Increased cost = 0.11 * 650 = £71.50
Amount after increment = 650 + 71.50 = £721.50
Further increase = 8%
Amount = 0.08 * 721.50 = £57.72
Final cost = 721.50 + 57.72 = £779.22
Thus,
Final cost = £779