Answer:

Step-by-step explanation:
The formula for direct variation is
y = kx
1. Calculate the value of k
y = 14 when x = 2

2. Value of y
k =7; x = 6

Answer:
D. Obtuse Scalene
Step-by-step explanation:
One of the angles is over 90 degrees, which classifies the triangle as obtuse (right triangles are 90 degrees, and acute triangles are under 90 degrees). None of the side lengths are equivalent, so therefore the triangle is scalene (Isosceles triangles have two sides that are the same length). Hope this helps.
Answer:
The equation of the parabola in vertex form is
.
Step-by-step explanation:
Since the directrix is of the
, then the equation of the parabola in vertex form is of the form:
(1)
Where:
- Dependent variable.
- Independent variable.
- Least distance between focus and directrix.
,
- Coordinate of the vertex.
The least distance between focus and directrix is determined by Pythagorean Theorem:


Now, we determine the location of the vertex by the following vectorial formula:
(2)
If we know that
and
, then the location of the vertex is:


And the equation of the parabola in vertex form is
.
ANSWER: $190
EXPLANATION:
$100.000 - savings account
$6.72 - lunch
$10.84 - soccer ball
$42.95 - video game
$29.49 left
---------------------------
$100 + $6.72 + $10.84 + $42.95 + $29.49
= $190
The sequence is to add 2 each time
8-3=5
15-8=7
24-15=9
35-24=11
therefore the next numner would be =13 so 35+13= 48
bc.....
48-35= 13
basically as the number gets bigger the added number gains 2pts each time
hope this helps