Answer:98.9276
Step-by-step explanation:
The table displays the amount of time, in minutes, Jordan rode his bike for five days. How many total hours did Jordan ride his bike in the five days? DayTime (minutes)11 4545 22 109109 33 5151 44 121121 55 3838 Jordan rode his bike total hours in the five days.
Answer: the answer is 100000000
Step-by-step explanation: that is that because 10 to the 4th power is 10000 times 10000 is 100000000
1. commutative property states that : a + b = b + a
<span>2. 3x - 5 = 5x - 17 -- add 5 to both sides </span>
<span>3x = 5x - 17 + 5 -- subtract 5x from both sides </span>
<span>3x - 5x = -17 + 5 -- combine like terms </span>
<span>-2x = -12 -- divide both sides by -2 </span>
<span>x = 6 </span>
<span>3. slope formula : slope = (y2 - y1) / (x2 - x1) </span>
<span>(3,-1) x1 = 3 and y1 = -1 </span>
<span>(-2,-5) x2 = -2 and y2 = -5 </span>
<span>now we sub </span>
<span>slope = ((-5 - (-1)) / (-2 -3) </span>
<span>slope = (-5 + 1) / -5 </span>
<span>slope = -4/-5 </span>
<span>slope = 4/5 </span>
<span>4. x = first integer </span>
<span>x + 2 = 2nd integer </span>
<span>x + x + 2 = 80 -- combine like terms </span>
<span>2x + 2 = 80 -- subtract 2 from both sides </span>
<span>2x = 80 - 2 </span>
<span>2x = 78 -- divide both sides by 2 </span>
<span>x = 39 <== this is the smallest number </span>
<span>x + 2 = 41 </span>
<span>5. p = 1/2g - 3 </span>
<span>6. The union of two sets is all the numbers in both sets, no need to copy the same number more then once. Answer is : (1,2,3,4,5,6,8,10) </span>
<span>7. 2x + 3y <= 6 -- put in y = mx + b form </span>
<span>3y <= -2x + 6 </span>
<span>y <= -2/3x + 2 </span>
<span>In y = mx + b form, the y intercept is in the b position. So the y intercept is (0,2) </span>
<span>To find the x intercept, sub in 0 for y (change inequality sign to equal sign) </span>
<span>2x + 3y = 6 </span>
<span>2x + 3(0) = 6 </span>
<span>2x = 6 </span>
<span>x = 3 </span>
<span>x intercept is (3,0) </span>
<span>So plot your points (3,0) and (0,2) </span>
<span>Connect the points with a solid line because there is an equal sign in there. </span>
<span>Shade below the line because it is less then. </span>
<span>8. 3x + 6y = 8 </span>
<span>6y = -3x + 8 </span>
<span>y = -1/2x + 4/3 </span>
<span>y = 2x - 8 </span>
<span>Perpendicular lines have negative reciprocal slope. All that means is " flip " the slope and change the sign. The slope in these equations are -1/2 and 2. These are negative reciprocals of each other. </span>
<span>9. 7x + 3y - 2 + 6x + 1 + y^2 </span>
<span>y^2 + 3y + 13x - 1 </span>
<span>10. (0,6) x1 = 0 and y1 = 6 </span>
<span>(3,0) x2 = 3 and y2 = 0 </span>
<span>slope(m) = (y2 - y1) / (x2 - x1) </span>
<span>slope(m) = (0 - 6) / (3 - 0) </span>
<span>slope(m) = -6/3 </span>
<span>slope(m) = -2 </span>
<span>y = mx + b </span>
<span>(0,6) x = 0 and y = 6 </span>
<span>6 = 0(-2) + b </span>
<span>6 = b </span>
<span>your equation is : y = -2x + 6 (slope intercept form) </span>
<span>2x + y = 6 (standard form) </span>
<span>11. x + y = 5 -- put this in y = mx + b form, and the m position is your slope </span>
<span>y = -x + 5 (-x is the same as -1x) so your slope is -1 </span>
<span>12. 4y = 8x - 3 -- put in y = mx + b form, and the b stands for the y intercept </span>
<span>y = 8/4x - 3/4 </span>
<span>y = 2x - 3/4 (the y intercept is -3/4 </span>
<span>13. |a| + b --- (a = -1.4 and b = -2.7) </span>
<span>absolute values, whether they have a negative or not, they are always positive </span>
<span>|a| + b </span>
<span>|-1.4 | + (-2.7) </span>
<span>1.4 - 2.7 = -1.3 <== your answer </span>
<span>14. I cannot see the problem </span>
<span>15. -4 < 2t <= 2 --- divide everything by 2 </span>
<span>-2 < t <= 1 </span>
<span>open circle on -2, closed circle on 1, shading in between </span>
<span>16. x + 2y = -9 ---> x = -2y - 9 </span>
<span>now sub -2y - 9 in for x in the other equation </span>
<span>4x - 2y = 14 </span>
<span>4(-2y - 9) - 2y = 14 -- distribute through the parenthesis </span>
<span>-8y - 36 - 2y = 14 -- add 36 to both sides </span>
<span>-8y - 2y = 14 + 36 combine like terms </span>
<span>-10y = 50 -- divide by -10 </span>
<span>y = -5 </span>
<span>now sub -5 in for y in either of the original equations </span>
<span>x + 2y = -9 </span>
<span>x + 2(-5) = -9 </span>
<span>x - 10 = -9 </span>
<span>x = -9 + 10 </span>
<span>x = 1 </span>
<span>answer : x = 1 and y = -5 or (1,-5) </span>
<span>I was really bored so I thought I would just help out :)</span>
It would be 18.72$. Hope dis helps :)
The normal vector to the plane <em>x</em> + 3<em>y</em> + <em>z</em> = 5 is <em>n</em> = (1, 3, 1). The line we want is parallel to this normal vector.
Scale this normal vector by any real number <em>t</em> to get the equation of the line through the point (1, 3, 1) and the origin, then translate it by the vector (1, 0, 6) to get the equation of the line we want:
(1, 0, 6) + (1, 3, 1)<em>t</em> = (1 + <em>t</em>, 3<em>t</em>, 6 + <em>t</em>)
This is the vector equation; getting the parametric form is just a matter of delineating
<em>x</em>(<em>t</em>) = 1 + <em>t</em>
<em>y</em>(<em>t</em>) = 3<em>t</em>
<em>z</em>(<em>t</em>) = 6 + <em>t</em>
