Answer:
4 + 5i
Step-by-step explanation:
To calculate this you have to combine the like terms until they cannot be combined any further:
7 + 10i + 4 - 10i - (7 - 5i)
11 + 0i - 7 - 5i
7 & 4 are liked terms so add them together + subtract 10i and 10i
4 + 5i <--- Final answer
Hope this helps!
Y - 4 + 8
y +4
x2 + 4x + 4
x + 2 + 2
x + 4
x2 + 2x+ 1
x + 2 + 1
x + 2
j2 + 40j + 400
j + 20 + 200
j + 220
25n2 + 40np + 16p2
25n + 20p + 16p2
25n + 10 + 4
25n + 14
Answer:
∠DEF = 250°
Step-by-step explanation:
1. This shape is a hexagon (6 sides), so the interior angles should all add to 720°. Also worth noting: the problem says the <em>obtuse</em> angle DEF; this means it's the angle INSIDE the shape, not outside.
2. Add all the known angles, then subtract from the total degrees:
50 + 96 + 144 + 42 = 332
720 - 332 = 338
3. Because BC is parallel to ED, we can subtract 180 - 42 for the value of ∠EDC, which is 138°.
4. Add all the known values and subtract from 720 for the value of ∠DEF:
50 + 96 + 144 + 42 + 138 = 470
720 - 470 = 250°
Answer:
multiplication
Step-by-step explanation:
example:
8.29x10=82.9
8.29x100=129
however many zero's is however many decimal places moved
division does the opposite (it moves it left)
Answer:
y=24 x=33
Step-by-step explanation:
Example: ⇒
y
=
k
x
to find k use the given condition
y
=
−
24
when
x
=
8
y
=
k
x
⇒
k
=
y
x
=
−
24
8
=
−
3
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
−
3
x
2
2
∣
∣
∣
−−−−−−−−−−−−−−
when
x
=
10
then
y
=
−
3
×
10
=
−
30