Answer:
2. x = 47
3. x = 2
Step-by-step explanation:
These problems involve proportions, or equivalent ratios. You can solve for 'x' in each by using cross-multiplication and division.
2. 28(7) = 4(x + 2)
Distribute = 196 = 4x + 8
Subtract 8 from both sides: 196 - 8 = 4x + 8 - 8 or 188 = 4x
Solve for x: x = 47
3. 2(2x + 7) = 11(3x - 4)
Distribute: 4x + 14 = 33x - 44
Add 44 to both sides: 4x + 14 + 44 = 33x - 44 + 44 or 4x + 58 = 33x
Subtract 4x from both sides: 4x + 58 - 4x = 33x - 4x or 58 = 29x
Solve for x: x = 2

<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
Answer:
-2
Step-by-step explanation:
your equation is
f(x) = -2x+8
-2x
-2 is the slope
Answer:
=344
Step-by-step explanation:
(43)(8)
=344