The following equation is correct and is the best.
8.50(c+a)
Answer:
A. 54₁₀
B. 81₁₀
Step-by-step explanation:
To convert from base 4 to base 10, we simply do the following:
A. 312₄ to base 10
312₄ = (3×4²) + (1×4¹) + (2×4⁰)
312₄ = (3×16) + (1×4) + (2×1)
312₄ = 48 + 4 + 2
312₄ = 54₁₀
Therefore, 312₄ is equivalent to 54₁₀.
B. 1101₄ to base 10
1101₄ = (1×4³) + (1×4²) + (0×4¹) + (1×4⁰)
1101₄ = (1×64) + (1×16) + (0×4) + (1×1)
1101₄ = 64 + 16 + 0 + 1
1101₄ = 81₁₀
Therefore, 1101₄ is equivalent to 81₁₀.
We calculate the equation of this line:
Point-slope form:
Given a point and the solope the point-slope form is:
y-y₀=m(x-x₀)
m=(y₂-y₁) / (x₂-x₁)
Data:
(-3,-2)
(2,1)
m=(1-(-2)) / (2-(-3))=3/5
y-y₀= m(x-x₀)
y-1=3/5(x-2) (point-slope form)
y=3/5 x-6/5+1
y=3/5 x-1/5 (Slope-intercepted form)
The equation of this line is : y=3/5 x-1/5
Now , we check if the point C belongs this line:
(5,3) this means: x=5 and y=3
Therefore:
y=3/5 (5)-1/5=3 - 1/5=(15-1)/5=14/5≠3
Answer: the point C doesn´t pass through this line.
Answer:
(h+6)^2
Step-by-step explanation:
so what two numbers multiply equals to 36
and add up to 12?
6 and 6
So (h+6)(h+6)=(h+6)^2
And that's it!
To avoid confusion, remember PEMDAS. This is the order of operation.
Parenthesis, Exponents, Multiply, Divide, Add, Subtract
21 ÷ 7 + 20 * 102 * 2 - 3
No parenthesis and no exponents, proceed to multiplication.
20 * 102 * 2 = 4,080
Then, perform division
21÷7 = 3
Then, do addition
3 + 4080 = 4083
Lastly, do subtraction
4,083 - 3 = 4,080
So, 21 ÷ 7 + 20 * 102 * 2 - 3 = 4,080