Answer:
n = 13
Step-by-step explanation:
374 = 11(2n+8)
Expand the right side
374 = 11* 2n + 11 * 8
374 = 22n + 88
Subtract 88 from both sides
374 - 88 = 22n
286 = 22n
divide both sides by 22
n = 13
Answer:
The answer to your question is:
1st Diego
2nd Diego and Elena ( both 15 days)
Step-by-step explanation:
Data
Lin 54 pages 270-page book 3 days
Diego 100 pages 320 page 4 days
Elena 160 pages 480 page 5 days
Process
Lin
54 pages ------------------- 3 days
270 page ----------------- x
x = (270 x 3) / 54
x = 15 days
Diego
100 pages ----------------- 4 days
320 -------------------- x
x = (320 x 4) / 100
x = 12.8 days
Elena
160 pages ------------------- 5 days
480 pages -------------------- x
x = (480 x 5) / 160
x = 15 days
They are equal so...
15x+2 = 9x+20
15x-9x = 20-2
6x =18
x = 18/6 = 3
x = 3
y=mx+b is the equation of a line;
m=slope , b= y-intercept
m=4 ; so we have : y=4x+b
We are give a set of points which it passes through, we can simply plug them in:
-2 = 4(3)+b (3 is the x and -2 is the y)
We get -2 = 12 +b .... -14=b
our final equation is : y=4x-14
Answer:
D. A translation 2 units down followed by a 270-degree counterclockwise rotation about the origin
Step-by-step explanation:
The given triangle has vertices at R(3,4), S(1,1), and T(5,1)
Translating the the vertices down by 2 units, we apply the rule;
Rotating the resulting vertices through an angle 270 degrees counterclockwise, we apply the rule:
Therefore the correct choice is D.
