They have a plan but hasn't moved forward with their goal. They know what they want in life but hasnt made an effort with their plan.
Answer:
13cm
Step-by-step explanation:
Let the length of each side be x;
Using the pythagoras theorem
l² = x² + x²
l is the length of the diagonal
l² = 2x²
19² = 2x²
361 = 2x²
x² = 361/2
x² = 180.5
x =√180.5
x = 13
hence the length of each side of the square is closest to 13cm
Step-by-step explanation:
there are 2 main approaches (in their core they are the same, of course, but they look different) :
1. use one equation to express one variable by the second, and then use this in the second equation to solve for the remaining variable. with that you go back into the first equation and solve for the first variable.
2. multiply both equations by certain factors as needed, then add both results, so that there is one summary equation with only one variable, and then solve for it. then use that in one of the original equations and solve for the second variable.
using 1.
3x + 2y = 1
3x = 1 - 2y
x = (1 - 2y)/3
2x + 7y = 3
2(1 - 2y)/3 + 7y = 3
2(1 - 2y) + 21y = 9
2 - 4y + 21y = 9
17y = 7
y = 7/17
x = (1 - 2y)/3 = (1 - 2×7/17)/3 = (1 - 14/17)/3 =
= (17/17 - 14/17)/3 = 3/17 / 3 = 1/17
using 2.
multiply first equation by 2, the second by -3
6x + 4y = 2
-6x - 21y = -9
----------------------
0 -17y = -7
-17y = -7
17y = 7
y = 7/17
and so on (as under 1.).
Answer:
"a" must be negative
Step-by-step explanation:
The slope between points (-1, 1) and (1, -1) is a minimum of (-1-1)/(1-(-1)) = -1.
The slope between points (1, -1 and (3, -4) is a maximum of (-4-(-1))/(3-1) = -3/2.
Thus, as x increases, the slope is decreasing. In order for that to be the case, the value of <em>a</em> must satisfy a < 0.
Answer:
3%
Step-by-step explanation:
The interest on the account is given by the simple interest formula:
I = Prt
where I is the interest, P is the principal invested, r is the annual rate, and t is the number of years
375 = 2500r(5) . . . . . . using the given values in the formula
375/12500 = r = 0.03 . . . . . divide by the coefficient of r
Sonnie's account had a 3% interest rate.
