Yellow
4x3=12
equals other side.
go check my question my head hurts of trying
Answer-The vector is
=
7
→
i
−
24
→
j
and the magnitude is
=
25
Explanation:
Let the point
A
=
(
−
2
,
7
)
and
B
=
(
5
,
−
17
)
Then,
−−→
A
B
=
(
5
−
(
−
2
)
−
17
−
7
)
=
(
7
−
24
)
The magnitude of
−−→
A
B
is
∣
∣
∣
∣
∣
∣
−−→
A
B
∣
∣
∣
∣
∣
∣
=
√
(
7
)
2
+
(
−
24
)
2
=
25
Step-by-step explanation:
A) using prime factorization (dividing with a prime factor until everything is a prime number, then multiplying the prime numbers by each other once), u can calculate their lcm
122=2x61
15=5x3
834=2x3x139
then multiply the prime factors once,
2x3x5x61x139= 254,370
b) i’m assuming that u solve the equation first bc u didnt put any commas
42-12-16=14
3-92+20=-69
do prime factorization
14=2x7
-69=-23x3
multiply the factors
-23x7x3x2=-966
The diameter of the circle is: "38" .
___________________________________________
<u>Note</u>:
The circumference, "C", of a circle:
C = (pi) * d .
Given:
C = 38 * pi ;
↔ C = pi * 38 ;
C = pi * d ;
d = 38 .
_________________________________
The answer is: "38" .
The diameter of the circle is: "38" .
_____________________________________________________
Simplifying
8.7 = 3.5m + -2.5(5.4 + -6m)
8.7 = 3.5m + (5.4 * -2.5 + -6m * -2.5)
8.7 = 3.5m + (-13.5 + 15m)
Reorder the terms:
8.7 = -13.5 + 3.5m + 15m
Combine like terms: 3.5m + 15m = 18.5m
8.7 = -13.5 + 18.5m
Solving
8.7 = -13.5 + 18.5m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-18.5m' to each side of the equation.
8.7 + -18.5m = -13.5 + 18.5m + -18.5m
Combine like terms: 18.5m + -18.5m = 0.0
8.7 + -18.5m = -13.5 + 0.0
8.7 + -18.5m = -13.5
Add '-8.7' to each side of the equation.
8.7 + -8.7 + -18.5m = -13.5 + -8.7
Combine like terms: 8.7 + -8.7 = 0.0
0.0 + -18.5m = -13.5 + -8.7
-18.5m = -13.5 + -8.7
Combine like terms: -13.5 + -8.7 = -22.2
-18.5m = -22.2
Divide each side by '-18.5'.
m = 1.2
Simplifying
m = 1.2