Answer: C
Step-by-step explanation:
the equation for X is
use proportion to solve
2 + x = 16
x = 14
(14,y)
The equation for Y is
use proportion to solve
-1 + y = 6
y = 7
(14,7)
now use the distance formula
(14,7) (2,-1)
which gets you 14.4 or C
Answer and Step-by-step explanation: <u>Standard</u> <u>form</u> of a quadratic equation is expressed as: y=ax²+bx+c, while <u>vertex</u> <u>form</u> is written as:
y=a(x-h)²+k.
The similarities between standard and vertex forms is that they show if the graph of the equation has a <u>minimum</u> (when a>0) or <u>maximum</u> (a<0) and it's easier to determine the y-intercept: for standard, the value of c is the intercept; for vertex, the value k is the intercept.
The advantage of standard form is that you can determine the product and sum of the equation's roots, which is a method to determine them.
The advantages of vertex form are: easier to find the vertex of the graph, which is the pair (h,k) and the axis of symmetry, which is the value of h.
Answer:
20
Step-by-step explanation:
3x + x + 100 = 180 (sum of angles on a straight line)
4x = 180-100
4x=80
divide both sides by 4
x=20
the 24th term of the arithmetic is 146
Answer:
$3.00
Step-by-step explanation:
Step 1. Calculate the <em>pounds of broccoli</em>.
Start with what you know: you want 32 oz of broccoli.
You know that 1 lb = 16 oz. Calculate the weight in pounds
Wt = 32 × 1/16
Wt = 2 lb
===============
Step 2. Calculate the <em>cost of the broccoli</em>.
$1.50 = 1 lb Calculate the cost
Cost = 2 × 1.50/1
Cost = $3.00