Answer:
A' (3, 8 )
Step-by-step explanation:
Applying the translation rule to A (1, 3 )
A (1, 3 ) → A' (1 + 2, 3 + 5 ) → A' (3, 8 )
<span>
The standard form of the equation of a circumference is given by the following expression:
</span>

<span>
On the other hand,
the general form is given as follows:
</span>

<span>
In this way, we can order the mentioned equations as follows:
Equations in Standard Form: </span>
Equations in General Form:


So let's match each equation:
Then, its general form is:
<em><u>First. a) matches 5)
</u></em>

Then, its general form is:
<em><u>Second. b) matches 1)
</u></em>
Then, its general form is:
<em><u>Third. c) matches 3)</u></em>
Then, its general form is:
<em><u>Fourth. d) matches 6)</u></em>
X would equal 81 because the square root of 81 is 9.
9 x 9 = 81
Answer:
42.25 feet
Step-by-step explanation:
The height function is a parabola. The maximum value of a negative parabola is at the vertex, which can be found with:
x = -b/2a
where a and b are the coefficients in y = ax² + bx + c.
Here, we have y = -16t² + 52t. So a = -16 and b = 52. The vertex is at:
t = -52 / (2×-16)
t = 13/8
Evaluating the function:
h(13/8) = -16(13/8)² + 52(13/8)
h(13/8) = -169/4 + 169/2
h(13/8) = 169/4
h(13/8) = 42.25