<span>A1 is the 1st term r is the difference, they can say "r" or "d" for the difference 1st a1 is the first term = -3 2nd "r" is the difference between each consecutive terms (coming after each other) = 1.5 the rule to get any term of the sequence as we add 1.5 each time is --> a1+(n-1)*d a1 --> 1st term , n --> order of the term u want whether 2nd, 3rd , 25th d --> difference so to get the 2nd--> -3+(2-1)*1.5= -1.5 to get the 3rd --> -3 +(3-1)*1.5 = 0 and so on</span>
60x - 12 = 14x^2 + 14x
Subtract 60x & Combine
-12 = 14x^2+14x-60x
-12= 14x^2-46x
Add 12
0= 14x^2-46x-14
Y - 10 =(-1/3) ( X - 10 )
Y = ( -1/3) X + ( 40/3)
Step-by-step explanation:
Step 1:
The basic form of Slope Intercept equation is

Step 2:
Points are (10,10) and m=-1/3
Y-10 = (-1/3)(X-10)
Y = ( (-X + 10 )/3) + 10
Y =( - X / 3 ) +( 40 / 3)
Answer:15
Step-by-step explanation:5 and 3 both go into 15

<h3><u>Given </u><u>:</u><u>-</u></h3>
- A marker in the center of the fairway is 150 yards away from the centre of the green
- While standing on the marker and facing the green, the golfer turns 100° towards his ball
- Then he peces off 30 yards to his ball
<h3><u>To </u><u>Find </u><u>:</u><u>-</u></h3>
- <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>distance </u><u>between </u><u>the </u><u>golf </u><u>ball </u><u>and </u><u>the </u><u>center </u><u>of </u><u>the </u><u>green </u><u>.</u>
<h3><u>Let's </u><u> </u><u>Begin </u><u>:</u><u>-</u></h3>
Let assume that the distance between the golf ball and central of green is x
<u>Here</u><u>, </u>
- Distance between marker and centre of green is 150 yards
- <u>That </u><u>is</u><u>, </u>Height = 150 yards
- For facing the green , The golfer turns 100° towards his ball
- <u>That </u><u>is</u><u>, </u>Angle = 100°
- The golfer peces off 30 yards to his ball
- <u>That </u><u>is</u><u>, </u>Base = 30 yards
<u>According </u><u>to </u><u>the </u><u>law </u><u>of </u><u>cosine </u><u>:</u><u>-</u>

- Here, a = perpendicular height
- b = base
- c = hypotenuse
- cos theta = Angle of cosine
<u>So</u><u>, </u><u> </u><u>For </u><u>Hypotenuse </u><u>law </u><u>of </u><u>cosine </u><u>will </u><u>be </u><u>:</u><u>-</u>

<u>Subsitute </u><u>the </u><u>required </u><u>values</u><u>, </u>






Hence, The distance between the ball and the center of green is 153.48 or 153.5 yards