Answer:
3
Step-by-step explanation:
because 3x3= 9 and 4x3=12 and 5x3=15
Answer:
y=-2x-12
Step-by-step explanation:
first, putt 3x-6y=2 in standard form:
subtract 3x from both sides: -6y=-3x+2
divide both sides by -6 to isolate y: y=1/2x-1/3
if the other line is perpendicular to this, you must find the slope by finding the opposite reciprocal of 1/2x: -2
now we have 2 points a slope, so we use the point-slope formula: y-y1=m(x-x1)
y+2=-2(x+5)
Use the distributive property: y+2=-2x-10
subtract 2 for both sides to isolate y: y=-2x-12
If it’s proportional, then when X is 1, y is 2.6, you get that by dividing 275.5 by 29
so when y is 408.5, x is 156.91
I believe that is correct.
Answer:
The ladder is 28.6 feet long.
Step-by-step explanation:
Given that:
Length of base = 17 feet
Length above the ground = 23 feet
These forms two legs of right angled triangle.
The length of ladder will be the hypotenuse.
Using Pythagorean theorem;

Taking square root on both sides

Hence,
The ladder is 28.6 feet long.
S = 9C
first sentence written as an expression
Where S represents the angles supplement
and C represents the angles complement
A + S = 180
definition of supplementary allows me to make this statement Where A is the original angle
A + C = 90
definition of complimentary allows this statement
now add the prior 2 statements together
A + S + A + C = 180 + 90
now simplify
2A + S + C = 270
now replace S with 9C using first statement
2A + 9C + C = 270
now simplify
2A + 10C = 270
now divide both sides by 2
A + 5C = 135
now using the second statement isolate A by adding C to both sides
A = 90 - C
now combine the two prior statements
90 - C + 5C = 135
now simplify
90 + 4C = 135
now subtract 90 from both sides
4C = 45
now divide both sides by 4
C = 11.25
so the complimentary angle is 11.25
now take the third equation and substitute in C
A + 11.25 = 90
now subtract 11.25 from both sides
A = 78.75
so the original angle is 78.75
now use the second equation and substitute in A
78.75 + S = 180
now subtract 78.75 from both sides
S = 101.25
so the suplimentary angle is 101.25