Answer:
x = -1
Step-by-step explanation:
first you "remove the parentheses" by multiplying the number on the outside of them to everything on the inside. for instance, -2 x 2x = -4x and -2 x -6 = 12 (because whenever you multiply two negatives, it turns into a positive) then, when there is a minus sign in front of parentheses, you change the sign of everything within the parenthesis leaving you with a positive 5 and a negative 3x. so now you have a much simpler equation of -4x + 12 = 8 +5 -3x
next you want to of course add the 5 and the 8 to make it even more simple which would leave you with the equation:
-4x + 12 = 13 - 3x
The next thing you need to do is get the unknown variable on one side of the equation. So you do add 4x do get the x on the right side which would leave you with 12 = 13 - 3x + 4x
So now you can do the same thing to the 13 to try to get it on the left by subtracting 13 from both sides
12 - 13 = -3x + 4x
now you make the equation simple by "combining the like terms" (which is something you'll hear a lot in algebra class)
making you equation -1 = 1x
or just -1 = x because when you multiply something by 1, it's the same.
Answer:
4 d
Step-by-step explanation:
Given D is mid-point of BC and AD⊥AC
From right angle △DAC
cosC=
a/2
b
=
a
2b
...(i)
also from cosine formulae
cosC=
2ab
a
2
+b
2
−c
2
...(ii)
From (i) and (ii) we get
a
2b
=
2ab
a
2
+b
2
−c
2
⇒4b
2
=a
2
+b
2
−c
2
⇒b
2
=
3
a
2
−c
2
∴cosAcosC=
2bc
b
2
+c
2
−a
2
.
a
2b
=
ca
[(
3
a
2
−c
2
)+c
2
−a
2
]
=
3
2
(
ca
c
2
−a
2
)
724,804 rounded to nearest thousands place is 725,000.
Step-by-step explanation:
Given whole number is
724,804
Rounding to the nearest thousand means that we round the last three digits to a thousand number.
If the last three digits are 500 or more than that, then we round the thousands digits up and in case of less than 500, the digits are rounded down to thousand.
Therefore;
last three digits of given number is 804, which is greater than 500, therefore,
724,804 rounded to nearest thousands place is 725,000.
Keywords: digits, thousands
Learn more about digits at:
#LearnwithBrainly
Answer:
60
Step-by-step explanation: