Answer:
Step-by-step explanation:
The y intercept is (0,5)
The slope is found from choosing 2 points on the line. My choice is (4,13) and (0,5)
x2 = 4
x1 = 0
y2 = 13
y1 = 5
slope = (y2 - y1)/(x2 - x1)
slope = (13 - 5)/(4 - 0) = 8/2 = 4
If I'm right answers A and D are both wrong. We don't know exactly what the 5 represents. I would say it is the beginning number of songs she knows when she starts graphing. In any event, B is not the answer.
That leaves C.
y = 2x + 5
x = 20
y = 2*20 + 5
y = 45
(20,45) is on the line
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
True, Integers mean "whole", and it cannot be a fraction or decimal
hope this helps
Answer:
Solution 3 is correct and solutions 1 and 2 are incorrect.
Step-by-step explanation:
It says that the parallelogram is reflected across the x-axis. Think of reflection like a reflection in a mirror. The coordinates are mirrored across the x-axis (or the horizontal plane) and the x- coordinates stay the same but the y coordinates change. When you reflect across the y-axis, the x-coordinates change but the y-coordinates stay the same.
I hope this helped!