a.
a^2 + b^2 = c^2
The legs are a and b. c is the hypotenuse.
Let a = 6x + 9y; b = 8x + 12y; c = 10x + 15y
The equation is:
(6x + 9y)^2 + (8x + 12y)^2 = (10x + 15y)^2
b.
Now we square each binomial and combine like terms on each side.
36x^2 + 108xy + 81y^2 + 64x^2 + 192 xy + 144y = 100x^2 + 300xy + 225y^2
36x^2 + 64x^2 + 108xy + 192xy + 81y^2 + 144y^2 = 100x^2 + 300xy + 225y^2
100x^2 + 300xy + 225y^2 = 100x^2 + 300xy + 225y^2
The two sides are equal, so it is an identity.
Answer:
Step-by-step explanation:
x+y≥-4
consider x+y=-4
when x=0,y=-4
point is (0,-4)
when y=0,x=-4
point is (-4,0)
draw a line through (0,-4) and (-4,0)
put x=0,y=0
0+0≥-4
which is true.
Hence origin lies on the graph.
graph is on and right of the line.
Answer:
Step-by-step explanation:
Ratio = 4/7 : 1/8

= 32 : 7

= 7 : 32
Ratio 4/7 over 1/8 is the multiplicative inverse of the ratio 1/8 over 4/7
Actual distance is 75 miles
1 inch = 15 miles
Multiply 5x15
Gives you 75