Yes, the line passes the vertical line test (no x-values are repeated)
Answer:
y = [-½]x + [-5]
Step-by-step explanation:
Equation describing how x and y are related can be written in slope-intercept form, y = mx + b.
m = slope = ∆y/∆x
Using two pairs of values from the table, (-2, -4) and (0, -5),
Slope (m) = (-5 - (-4))/(0 - (-2)) = -1/2
m = -½
b = y-intercept = the value of y when x is 0 = -5
b = -5
✔️To write the equation, substitute m = -½ and b = -5 into y = mx + b
Thus:
y = [-½]x + [-5]
Option A
<em><u>Solution:</u></em>
Given expression is:
To evaluate the expression, let us make the exponent of 10 same
[ Here, decimal point is moved three times left, so add 3 ]
Therefore,
Thus Option A is correct
#1. Step one) we set find what we can multiply by 5 to get 20, so we divide 20 by 5.
20/5 = 4
Step two) we multiply the bottom denominator (8) by 4
8x4=32
Step three) leave the top numerator the same (20) and replace (d) with 32
Answer : 20/32
#2 step one) we divide 14 by 7
14/7 = 2
Step two) divide 10 by 2
10/2=5
Step three) replace z with 5
Answer) 7/5
#3 step one) divide 24 by 8
24/8=3
Step two) divide 21 by 3
21/3 = 7
Step three) replace (x) for (7)
Answer) 7/8
At start: PE only
At end: KE and energy lost to friction
PE = KE + E
E = PE - KE
= mgh - (1/2)mv^2
= (40)(9.8)(12) - (.5)(40)(10)^2
= 2704J
