Answer:
y=-1/3x-1
Step-by-step explanation:
Perpendicular lines have slope that are opposite sign and reciprocals
3x-y=12 has a slope of 3, therefore perpendicular line must have slope of -1/3
2=-9(-1/3)+b
2=3+b
b=-1
Answer:
B. x > 4
Step-by-step explanation:
12 < 8 + x
12-8 < 8-8 +x
12-8 < x
4 <x
x > 4
To find the area of an obtuse triangle you have to multiply the base of the triangle by the vertical height and divide the result by 2 following the formula:
The base of the triangle is b= 7 miles and the height is h= 8 miles, using these lengths calculate the area as follows:
The area of the triangle is 28 square miles.
Answer:
Step-by-step explanation:
x is the number of students
(x+5) is the number of students and chaperons
$2.50·(x+5) is the amount of money the number of students and chaperons will pay for the trip, and that number should be less or equal than $90 because those are all the money they have
2.50(x+5) ≤ 90 which is the same as 90 ≥ 2.50(x+5)
The inequality "90 greater-than 2.50 (x + 5) "
90 > 2.50(x+5) is an error becase it excludes the possibility that <u>the trip can cost exact $90</u> so we need not just greater than > , yet greater and equal than ≥ sign
90 ≥ 2.50(x+5)
Answer:
The towel bar should be placed at a distance of from each edge of the door.
Step-by-step explanation:
Given:
Length of the towel bar =
Now given length is in mixed fraction we will convert in fraction.
To Convert mixed fraction into fraction Multiply the whole number part by the fraction's denominator, then Add that to the numerator, then write the result on top of the denominator.
can be Rewritten as
Length of the towel bar =
Length of the door =
can be Rewritten as
Length of the door =
We need to find the distance bar should be place at from each edge of the door.
Solution:
Let the distance of bar from each edge of the door be 'x'.
So as we placed the towel bar in the center of the door it divides into two i.e. '2x'
Now we can say that;
Now we will take LCM to make the denominators common we get;
Now denominators are common so we will solve the numerators.
Or
Hence The towel bar should be placed at a distance of from each edge of the door.