Answer: Provided.
Step-by-step explanation: We are given two lines 'h' and 'k' which are parallel to each other. Also, there is another line 'j' that is perpendicular to line 'h'.
We are to prove that line 'j' is perpendicular to line 'k'.
Let, m, n and p be the slopes of lines 'h', 'k' and 'j' respectively.
Now, since line 'h' and 'k' are parallel, so their slopes will be equal. i.e., m = n.
Also, lines 'h' and 'j' are perpendicular, so the product of their slopes is -1. i.e.,
m×p = -1.
Hence, we can write from the above two relations
n×p = -1.
Thus, the line 'j' is perpendicular to line 'k'.
Proved.
Answer:
y=3x+4
idk what it has to be equivalent to...I just put it in y-intercept form
Step-by-step explanation:
Y= 1/2x -2 is the equation for this line.
Answer:
Step-by-step explanation:
<u>Prime factors:</u>
<u>Common factors of the two numbers: </u>
Possible number of students as above
Answer:
51 gal
Step-by-step explanation:
Find the area of the wall you need to paint:
12 m * 80 m = 960 m^2
Use conversion rate to convert square meters to square feet (first, make the conversion rate into square meters instead of regular meters):
1 ft / 0.3048 m -> 1^2 ft / 0.3048^2 m^2
960 m^2 * (1 ft^2 / 0.3048^2 m^2)
Square meters cancel out, we are left with square feet:
960 * (1 ft^2 / 0.3048^2) = 10333.354 ft^2
Now, find how many gallons of paint by dividing by 200 square feet:
10333.354 ft^2 / 200 =~ 51.66 gal
Round up to the nearest whole number:
51.66 =~ 51 gal
