The vertex of the function is (-6,-36).
<u>Step-by-step explanation:</u>
f(x) = x²+ 12x
From the above function, we can find the x- coordinate of the vertex as,
x = -b/2a
Here a = 1, b = 12
Plugin the values as,
x = -12 /(2×1) = -6
Now plug in the x value in the above function, we will get y as,
f(x) = y = x² + 12x = (-6)² + 12(-6)
= 36-72 = -36
So the vertex is (-6, -36).
Given:
ABCD is a cyclic quadrilateral.
m∠C = 43°
To find:
The measure of ∠A.
Solution:
<em>In cylic quadrilateral, opposite angles are supplementary.</em>
⇒ m∠A + m∠C = 180°
⇒ m∠A + 43° = 180°
Subtract 43° from both sides.
⇒ m∠A + 43° - 43° = 180° - 43°
⇒ m∠A = 137°
The measure of ∠A is 137°.
Answer:
second to the longest one is right
Step-by-step explanation:
Let the price of 1 shirt be represented by = s
A pair of pants costs twice as much as a shirt, then the cost of pants is = 2s
The total cost of 1 pair of pants and 1 shirt is $18 , means : 
Solving this we get,
So, the price of 1 shirt is $6 and price of 1 pair of pants is = 2s = 2*6 = $12.
