Answer:
y = 2x - 3
Step-by-step explanation:
y = mx + b
m = (y2-y1)/(x2-x1)
m = (3-(-3))/(3-0)
m = 6/3
m = 2
y = mx + b
y = 2x + b
3 = 2(3) + b
3 = 6 + b
b = -3
therefore
y = 2x - 3
Answer:
45 cm
Step-by-step explanation:
Let x represent the length of the longer leg. Then the hypotenuse is x+8 and the shorter leg is x-17. The Pythagorean theorem gives the relation between these values as ...
(x +8)^2 = x^2 +(x -17)^2
x^2 +16x +64 = 2x^2 -34x +289 . . . . eliminate parentheses
0 = x^2 -50x +225 . . . . . put in standard form
0 = (x -45)(x -5) . . . . . . . . factor
Solutions to this equation are x=5 and x=45. The value of x must be greater than 17, so the useful solution is x=45.
The length of the longer leg of the triangle is 45 cm.
9 1/11
or 100/11
they are both the same, it just depends on how the class wants you to write it
Answer:
242.76m^2
Step-by-step explanation:
Given data
Height=18m
Volume=4,374m^3
We know that the expression for the volume of a cylinder is
V=πr^2h
substitute
4374=3.142*r^2*18
4374=56.556*r^2
4374/56.556=r^2
77.339=r^2
r=√77.339
r= 8.79m
But the area of a circle is expressed as
A= πr^2
A=3.142*8.79^2
A=3.142*77.2641
A=242.76m^2
Hence the area of the base is 242.76m^2
