Answer:
y = -
x + 
Step-by-step explanation:
The angle between the tangent and the radius at point P is 90°
Calculate the slope of the radius m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₂ - x₁ )
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (8, 15)
m =
= 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
, thus
y = -
x + b ← is the partial equation
To find b substitute (8, 15) into the partial equation
15 = -
+ b ⇒ b = 15 +
= 
y = -
x +
← equation of tangent
K = 917 + 6(w + h - a)
k = 1925
w = 119
a = 25
1925 = 917 + 6(119 + h - 25) =
1925 = 917 + 6(h + 94)
1925 = 917 + 6h + 564
1925 = 1481 + 6h
1925 - 1481 = 6h
444 = 6h
444/6 = h
74 = h........she is 74 inches tall
Answer:
k = -4
Step-by-step explanation:
The given equation is: 2y = - 3x - 2.
This is written as: 3x + 2y + 2 = 0.
Given the point (2, k) lies on the line given.
That means it should satisfy the given equation.
So, to find the value of 'k', simply substitute the point on the line.
So, it becomes: 3(2) + 2(k) + 2 = 0
⇒ 6 + 2k + 2 = 0
⇒ 2k = - 8
Dividing by 2 throughout, we get: k = - 4
Hence, (2, -4) lies on the line.
Factoring an expression involves rewriting the expression in simplier form
The factored expression of
is 
<h3>How to factor the expression</h3>
The expression is given as:

Factor out 5x from the expression

Factor out y^2 from the expression

Hence, the factored expression of
is 
Read more about factorized expressions at:
brainly.com/question/723406