The x-coordinate of the axis os symmetry of a quadratic is the x-coorfinate of its vertex. To find the y-coordinate of the vertex here we would substitute -5 for x in:
The coordinates of the vertex are (-5,41)
This must be FALSE, because:
7 players x 4(which is the range) = 28 which means that the total number of baskets made is 28.
If the greatest is 8, we must do 28 - 8, which gives us 20. This means that the remaining 6 players (7 - 1 = 6) made a total of 20 baskets.
However, if the fewest is 4 baskets, this means that the remaining 5 players (6 - 1 = 5) must have made a total of 16 baskets (20 - 4 = 16) and that each player must have scored 4 or more baskets each (since 4 was the fewest number of baskets made).
But this is impossible because if the remaining 5 players scored 4 (fewest number possible) each, it would give us 20 (4 x 5). But they should have made 16, or else the total of all the baskets would not be 28 (look back at start).
This means that the statement is impossible and therefore FALSE.
Hope this helped :)
Answer:
$40
Step-by-step explanation:
x is the original price of the gift
(10% of x) is the value of the discount
(10% of x) = 10/100 . x = 0.1 x
0.1 x is the value of the discount
x - (10% of x) is what was paid, after the discount
x - 0.1 x = 0.9 x
0.9 x is what was paid
4 children paid $9/each
4 times $9 = $36
$36 is the total amount that was paid by the children
$36 = 0.9 x
$36 / 0.9 = x
x = $36 / 0.9 = 360 / 9
x = 40
;-)
Solving this problem actually requires us the use of the
distance formula of point to a line.
The formula is:
distance = | a x + b y + c | / sqrt (a^2 + b^2)
So we are given the equation:
y = 2 x + 4
rewriting:
<span>y – 2 x – 4 = 0 -->
a = -2, b = 1, c = -4</span>
We are also given the points:
(-4, 11) = (x, y)
Using the distance formula at points (x, y):
distance = | -2 * -4 + 1 * 11 + -4 | / sqrt [(- 2)^2 +
(1)^2]
distance = 15 / sqrt (5)
distance = 6.7
<span>So the tree is about 6.7 ft away from the zip line.</span>
