Answer:
A translation vector is a type of transformation that moves a figure in the coordinate plane from one location to another. In other words, a translation vector can be thought of as a slide with no rotating. The slide won’t change the shape or size of the figure, and with no rotation, the orientation won’t change either.
Step-by-step explanation:
x - y = - 11 .............( 1 )
y + 7 = - 2x ...............( 2 )
from equation ( 1 )
x - y = - 11
x = -11 + y ...........( 3)
putting x in equation ( 2 )
y + 7 = - 2 x
y + 7 = -2 ( -11 + y ) y + 7 = 22 - 2 y y + 2 y =22 - 7
3 y = 15 y = 15 / 3
putting value of y in equation 3
x = -11+ ( 13 /5 ) x = -33 /3 + 15 / 3 ( l.c.m)
x = -17 / 5
check
x = -11 + y
- 17 / 5 = -11 + 13 / 5
-17 /5 = -17 / 5
The cost of turkey sandwiches is $3 and chef salads costs $2.
Two equations can be derived from this question:
12t + 44s = 124 equation 1
12t + 58s = 152 equation 2
Where:
t = turkey sandwiches
s = chef salads
In order to determine the value of s, the following steps would be taken:
Subtract equation 1 from 2
14s = 28
Divide both sides of the equation by 14
s = $2
Substitute for s in equation 1
12t + 44(2) = 124
12t = 88 = 124
12t = 124 - 88
12t = 36
t = 3
To learn more about simultaneous equations, please check: brainly.com/question/23589883
Answer:
Step-by-step explanation:
The general formula for continuous exponential growth is A=A0•ert, where A0 is the initial amount, t is the elapsed time, and r is the rate of growth or decay. For this problem, r=0.005, so the formula is A=A0•e0.005t.
Since we want to know how long it takes of the amount to be 275% of the original amount, we can state that A=2.75A0. Substituting that into our formula gives us 2.75A0=A0•e0.005t. Dividing by A0 yields 2.75=e0.005t.
At this point we need to take the natural logarithm of both sides:
ln(2.75)=ln(e0005t)
ln(2.75)=0.005t
t=ln(2.75)/0.005, which is approximately equal to 202.3
We round up to 203 years.
Answer:
28.0001
Step-by-step explanation:
im pretty sure
