H^2=x^2+y^2 and xy=168 so y=168/x
625=x^2+28224/x^2
625=(x^4+28224)/x^2
x^4-625x^2+28224=0
I'll use the quadratic because this is a big number :P
x^2=(625±√(277729))/2
x^2=(625±527)/2
x^2=49
x=7
168/7=24
So the dimensions of the painting is 7 inches by 24 inches.
Answer:
76 degrees
Step-by-step explanation:
Answer:
The parallel line would be y = 1 and the perpendicular line would be x = 3.
Step-by-step explanation:
In order to find a line parallel to y = 5, we must first note that y = 5 is a horizontal line. This means to be parallel, the line must also be horizontal. All horizontal lines are written in the form of y = (just a number). Since we can see the value of y in the ordered pair as 1, we know the equation is y = 1.
The exact opposite logic can be used to find the perpendicular line. Since the first line is horizontal, the next one will be vertical, which are written as x = (a number). We again look to the ordered pair to determine the number and write the equation as x = 3
Step-by-step explanation:
the answer is in the picture above
Answer:
2q -r= p -----(1)
r= q -s -----(2)
p= q +2r -----(3)
From (2):
r +s= q <em>(</em><em>+</em><em>s </em><em>on </em><em>both </em><em>sides)</em>
s= q -r -----(4) <em>(</em><em>-r </em><em>on </em><em>both </em><em>sides)</em>
Substitute. (3) into (1):
2q -r= q +2r
2q -q= 2r +r
q= 3r -----(5)
Substitute (5) into (4):
s= 3r -r
s= 2r (proved)
