Answer:
x= -12
Step-by-step explanation:
Simplifying
4x + 10 = 2x + -14
Reorder the terms:
10 + 4x = 2x + -14
Reorder the terms:
10 + 4x = -14 + 2x
Solving
10 + 4x = -14 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
10 + 4x + -2x = -14 + 2x + -2x
Combine like terms: 4x + -2x = 2x
10 + 2x = -14 + 2x + -2x
Combine like terms: 2x + -2x = 0
10 + 2x = -14 + 0
10 + 2x = -14
Add '-10' to each side of the equation.
10 + -10 + 2x = -14 + -10
Combine like terms: 10 + -10 = 0
0 + 2x = -14 + -10
2x = -14 + -10
Combine like terms: -14 + -10 = -24
2x = -24
Divide each side by '2'.
x = -12
Simplifying
x = -12
Statement 1 is true.
-Hope this helps, have a nice day! :)
Answer:
0, 1, 2
Step-by-step explanation:
Euclid's division Lemma states that for any two positive integers ‘a’ and ‘b’ there exist two unique whole numbers ‘q’ and ‘r’ such that , a = bq + r, where 0≤ r < b.
Here, a= Dividend, b= Divisor, q= quotient and r = Remainder.
According to Euclid's division lemma a 3q+r, where 0≤r≤3 and r is an integer.
Therefore, the values of r can be 0, 1 or 2.
the question doesn't say how many dolls. there would be an infinite number.
But we'll just form the equation for the nth doll.
Largest doll = 12 inches
2nd doll = (12) x 0.7
3rd doll = (12 x 0.7) x 0.7
4th doll = [(12 x 0.7) x 0.7) x 0.7
OK, We now see the pattern. Each successive doll is mult by the previous
doll height x 0.7
the Nth doll, 12 is mult by 0.7(n-1)
So, the height of the nth doll can be expressed as: 12 x 0.7(n-1)
example: 4th doll = 12 x 0.7(4-1) = 12 x 0.73
10th doll = 12 x 0.7(10-1) = 12 x 0.79 etc
17 cm
Explanation explain
