Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x - 2 ← is in slope- intercept form
with slope m = -
Given a line with slope m then the slope of a line perpendicular to it is
= - = - = , thus
y = x + c ← is the partial equation of the perpendicular line
To find c substitute (- 12, 7) into the partial equation
7 = - 16 + c ⇒ c = 7 + 16 = 23
y = x + 23 → D
Answer:
-86
Step-by-step explanation:
simplify each equation as much as possible
f(x)= 4x(2+9) add
4x(11) multiply
f(x)=44x
substitute given numbers into each equation
44(-2)=-88 3(4)-14= 12-14=-2
combine equations
-88-(-2)= -86 add since you are subtracting a negative number
Answer:
177.7
Step-by-step explanation:
not good with steps
The given equation may be simplified as follows:
x² + 14xy + 49y² = 100
(x + 7y)(x + 7y) = 100
(x + 7y)² = 10²
x + 7y = 10
This is a straight line with the equation
y = -(1/7)x + 10/7
The minimum distance from the origin to this line is provided by a straight line that passes through the origin and which is perpendicular to the straight line.
The slope of the perpendicular line is 7 because the product of the two slopes should be -1.
The perpendicular line is of the form
y = 7x + c.
Because the line passes through (0,0), therefore c = 0.
The line y = 7x intercepts the original line when
y = 7x = -(1/7)x + 10/7
Therefore
7x = -(1/7)x + 10/7
Multiply through by 7.
49x = -x + 10
50x = 10
x = 1/5
y = 7x = 7/5
The minimum distance is
d = √(x² + y²)
= √[(1/5)² + (7/5)²]
= √2
The point is (1/5, 7/5).
Answer: (1/5, 7/5) or (0.2, 1.4)
A. 6.19% that is the correct answer