Answer:
y=-1
Step-by-step explanation:
4(1)+2y=2
4+2y=2
-4 -4
2y=-2
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2. 2
y=-1
The width is 6m and the length is 12m
1) set up equation
2) distribute
3) put all values on one side
4) factor
5) -12 cannot be a width, so 6 is the width
6) plug the width (6) back into the equation from step 1
Answer:
5
Step-by-step explanation:
Since a line splitting a chord that goes through the circle and is perpindicular to that chord is always the midpoint.
5x-7 = 18
5x = 25
x = 5
I suppose you mean to convert 58₁₀ to base 2, and not 5810₁₀ to base 2.
Write 58 as the sum of the largest powers of 2 that you can:
58 = 32 + 26
58 = 32 + 16 + 10
58 = 32 + 16 + 8 + 2
58 = 2⁵ + 2⁴ + 2³ + 2¹
58 = 1×2⁵ + 1×2⁴ + 1×2³ + 0×2² + 1×2¹ + 0×2⁰
⇒ 58₁₀ = 111010₂
To convert from base 2 to base 10, write out and simplify the decimal expansion as in the last line of the previous example.
10111₂ = 1×2⁴ + 0×2³ + 1×2² + 1×2¹ + 1×2⁰
10111₂ = 16 + 0 + 4 + 2 + 1
⇒ 10111₂ = 23₁₀
Answer:
8 balls, 7 balls, 6 balls, 5 balls, 4 balls
Step-by-step explanation:
Since there are three blue balls & there maybe five additional balls with different colors, then the three balls can be taken as a single unit during arrangement/combination.
If the number of other balls with different colors aside blue is 5, the value of M will be 8.
If the number of other balls with different colors aside blue is 4, the value of M will be 7.
If the number of other balls with different colors aside blue is 3, the value of M will be 6.
If the number of other balls with different colors aside blue is 2, the value of M will be 5.
If the number of other balls with different colors aside blue is 1, the value of M will be 4.