Answer:
B
Step-by-step explanation:
Adjacent means sharing a common edge or leg so here PTN is adjacent to PTS
Answer:
53, 55, 57, and 59
Step-by-step explanation:
Let the numbers be
x, x +2, x +4, and x+6. Then
x + x+2 + x +4 + x + 6 = 224 Combine like terms
4x + 12 = 224 Subtract 12 from each side
4x = 212 Divide each side by 4
x = 53
The four consecutive integers are 53, 55, 57, and 59.
<em>Check:
</em>
53 + 55 + 57 + 59 =224
X = -2 would not be a function because if you graph it, it is a vertical line.
Y = 2 is a function because when graphed, it is shown as a horizontal line and passes the vertical line test.
Answer: hot dog = $1.75
<u>Step-by-step explanation:</u>
Let h represent hot dogs and c represent bags of chips.
Customer 1: 4h + 2c = 9.00 → 3(4h + 2c = 9.00) → 12h + 6c = 27.00
Customer 2: 5h + 3c = 11.75 → -2(5h + 3c = 11.75) → <u>-10h - 6c </u>= <u>-23.50</u>
2h = 3.50
<u> ÷2 </u> <u> ÷2 </u>
h = 1.75
Answer:
y = x^2 - 4
Step-by-step explanation:
The vertex of a parabola is exactly halfway between the focus and the directrix. If the focus is at (0, -6) and the directrix is the line y = -2, then we do this to locate the vertex: Draw a vertical line through (0, -6) also crossing the line y = -2. The y value halfway between y = -6 and y = -2 is y = -4, and the vertex is thus (0, -4).
Using the vertex method, write out the equation of this parabola, starting with the general form y - k = (x-h)^2, where (h, k) is the vertex. Here h = 0 and k = -4
We get: y + 4 = (x - 0)^2, or y + 4 = x^2, or y = x^2 - 4. As a check, let x = 0; y = -4, which is the y-coordinate of the vertex.
