Answer:
93.75 pounds
Step-by-step explanation:
Set up a proportion where x is the weight of a person on Earth:
= 
Cross multiply and solve for x
32x = 3000
x = 93.75
So, the person would weigh 93.75 pounds on Earth
Answer:
The equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18
Step-by-step explanation:
The coordinates of the point of intersection of the two lines = (5, 9)
The coordinates of a point on one of the two lines, line 1 = (-4, 4)
The slope of a line perpendicular to another line with slope, m = -1/m
Therefore, we have;
The slope, m₁, of the line 1 with the known point = (9 - 4)/(5 - (-4)) = 5/9
Therefore, the slope, m₂, of the line 2 perpendicular to the line that passes through the point (-4, 4) = -9/5
The equation of the line 2 is given as follows;
y - 9 = -9/5×(x - 5)
y - 9 = -9·x/5 + 9
y = -9·x/5 + 9 + 9
y = -9·x/5 + 18
Therefore, the equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18.
It is in the hundreths place if that answers your question.
Answer:
TQ = 83.5
Step-by-step explanation:
11/54 = 17/TQ
11TQ = 918
TQ = 918/11 = 83.45
Answer:
y = - 3x + 2
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 )
Rearrange 2y = 14 + 
x into this form
Divide all terms by 2
y = 7 + 
x ← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - 3, hence
y = - 3x + c ← is the partial equation of the perpendicular line
To find c substitute (- 2, 8) into the partial equation
8 = 6 + c ⇒ c = 8 - 6 = 2
y = - 3x + 2 ← equation of perpendicular line
