Answer:
Step-by-step explanation:
Remark
Choose any number at all and see what happens.
Suppose x = 8
3*(8 + 1) = 3*8 + 3
3(9) = 27
3*8 + 3 = 24 + 3 = 27
What you have shown is that the second choice is incorrect. There is at least one value that makes the equation correct (that is, both sides come to the same result.)
If choice two is false then choice one must be true since these results may give the only 2 possible results.
I believe the answer is the last option
Vector AB can be calculated:
AB = <bx-ax , by-ay>
AB= <-5-4 , 1-3>
AB= <-9 , -2>
AC = -2*AB
AC = -2 *<-9 , -2>
AC = <18 , 4>
Now we can calculate coordinates of point C:
AC = <cx-ax , cy-ay>
<18 , 4> = <cx-4 , cy-3>
18=cx-4
cx=22
4=cy-3
cy=7
Coordinates of the terminal point C (22,7).
Answer:
3. 151°
Step-by-step explanation:
Since m and n are parallel, therefore:
m<1 + 75° = 180° (consecutive exterior angles are supplementary)
Subtract 75 from each side
m<1 = 180 - 75
m<1 = 105°
m<2 = 46° (corresponding angles are congruent)
Sum of <1 and <2 = 105° + 46° = 151°
Answer:
$1,200
Step-by-step explanation:
Let x be the amount of money deposited in the mutual fund. The interest earned by that investment can be determined as the amount deposited times the interest rate:
The value the second deposited can be determined as x+$2,400 and its interest earned is defined in the same manner as the first deposit's:
The total interest on both investment equals the sum of both interests:
$1,200 were invested in the mutual fund.
