Answer:
f = - 
Step-by-step explanation:
Given f varies directly with m then the equation relating them is
f = km ← k is the constant of variation
To find k use the condition f = - 19 when m = 14
- 19 = 14k ( divide both sides by 14 )
-
= k
f = -
m ← equation of variation
When m = 2 , then
f = -
× 2 = - 
Answer:
Width of the rectangle = 6.7 ft
length of the rectangle = 10.7 ft
Step-by-step explanation:
ABCD is the rectangle.
AB = length of the rectangle = 4 + x ft
BC = width of the rectangle = x ft
AC = Diagonal of the rectangular field = 12 ft
Since ΔABC is the Right angle triangle. So





By solving above equation we get
x = 6.7 ft
Thus is the width of the rectangle.
And length of the rectangle = 4 + x
⇒ 4 + 6.7
⇒ 10.7 ft
(7+√5)(3-√5)=21-7√5+3√5-5=16-4√5
Answer: (7+√5)(3-√5)=16-4√5
Answer:
y = 7x/8 - 53/8
Step-by-step explanation:
P(3,-4)
x = -7y/8 + 3
Isolate y and translate to slope-intercept form:
y = mx + b
x = -7y/8 + 3
x - 3 = -7y/8
8x - 24 = -7y
y = -8x/7 - 24/7
The slope of the equation is -8/7
The slope of the new equation will be perpendicular to the slope of the given equation which means it is the negative reciprocal.
y = mx + b where m = -1/(-8/7) = 7/8
y = 7x/8 + b
Plug in know values and solve for b:
-4 = 7(3)/8 + b = 21/8 + b
-4 - 21/8 = b
b = -32/8 -21/8 = -53/8
Plug in b into the equation:
y = 7x/8 - 53/8
The answer to your question is 10. You’re welcome.