Answer:
f(x)=(x-9/2)²-25/4
Step-by-step explanation:
f(x)=x²-9x+14
f(x)=x²-9x+(-9/2)²-(-9/2)²+14
f(x)=(x-9/2)²-81/4+14
f(x)=(x-9/2)²+(-81+56)/4
f(x)=(x-9/2)²-25/4
The value of x that would make ABCD a parallelogram is x = 5
<h3>How to find the interior angle of a parallelograms?</h3>
A parallelogram, opposite sides are equal and parallel, which means opposite interior angles are equal.
Opposite sides of a parallelogram are congruent and parallel
Therefore,
5x - 3 = 14x - 48
subtract 5x from both sides
5x - 5x - 3 = 14x - 5x - 48
-3 = 9x - 48
add 48 to both sides
-3 + 48 = 9x - 48 + 48
45 = 9x
x = 45 / 9
x = 5
Therefore, the value of x that would make ABCD a parallelogram is x = 5
learn more on parallelograms here: brainly.com/question/9370590
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Your weight: x lb
Friend's wt.: 86 lb
Max wt. allowed: 263 lb
Then x + 86 ≤ 263, with x in lb. You could weigh a max. of 177 lb and still be able to go on this ride.
Answer:
{(-2, -7), (-1, -5), (0, -3), (1, -1), (2, 1)}
Step-by-step explanation:
Consider an element in the set we want to achieve. This element can be written as the ordered pair (x, y), where x comes from the set {-2, -1, 0, 1, 2} and given some value of x, we can find y (with the formula y = 2 * x - 3).
So to begin finding the set of all pairs in the resulting set, we first begin by listing out all values of x in each pair:
(-2, y)
(-1, y)
(0, y)
(1, y)
(2, y)
Now to find y, we use the formula y = 2 * x - 3, and we get
(-2, 2 * (-2) - 3)
(-1, 2 * (-1) - 3)
(0, 2 * (0) - 3)
(1, 2 * (1) - 3)
(2, 2 * (2) - 3)
which simplifies to
(-2, -7)
(-1, -5)
(0, -3)
(1, -1)
(2, 1)
