Use photomath for this it'll help you
<u>Given</u><u> </u><u>:</u><u>-</u>
- Line p has an equation of y = 5/3x - 4 .
- Line q includes point (-10,-3) and is perpendicular to the line p .
<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>
<u>Solution</u><u> </u><u>:</u><u>-</u>
The equation of the line p is ,
y = 5/3x - 4
On comparing to slope intercept form of the line which is y = mx + c , we have ,
m = 5/3
Now as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be ,
Now here the line q passes through the point (-10,-3) . So on using the point slope form of the line we get ,
y - (-3) = -3/5[ x-(-10)]
y +3 = -3/5(x+10)
y+3 = -3/5x - 6
y +9 = -3/5x
y = - 3/5x - 9
<u>Hence</u><u> the</u><u> required</u><u> answer</u><u> is</u><u> </u><u>y </u><u>=</u><u> </u><u>-</u><u>3</u><u>/</u><u>5</u><u>x</u><u> </u><u>-</u><u> </u><u>9</u><u> </u><u>.</u>
Answer:
About 14.58 ft
Step-by-step explanation:
We have an angle, the side <em>opposite</em> that angle, and the <em>hypotenuse</em> of that triangle. If you remember SOH CAH TOA, the right trig ratio for this problem is <em>sine</em>. In this case, . We want to solve for x, so we can multiply both sides by x to get and then divide both sides by to get
So, the top of the lamppost is about 14.58 ft from the tip of its shadow
The equation is 13+r = 74. This is because the term "sum" means we add two or more values.
That equation solves to r = 61 after subtracting 13 from both sides.
Assuming the r value is her height in inches, it means Rhonda is 61 inches tall (i.e. 5 feet, 1 inch)