Answer:
The slope equation of the line AB is 
Step-by-step explanation:
Here, the given points are A (2, 3) and B (7,4).
Now, slope of any line is given as :
or, 
Hence, the slope of the line AB is (1/5)
Now , A POINT SLOPE FORM of an equation is
(y - y0) = m (x - x0) ; (x0, y0) is any arbitrary point on line.
Hence, the equation of line AB with slope (1/5 ) and point (7,4) is given as:
or, 5y - 20 = x -7
⇒ x - 57 + 13 = 0 ( SIMPLIFIED FORM of equation)
Hence, the slope equation of the line AB is
Yes scale factor means ratio. The height of the smaller pyramid to the larger pyramid in ratio form is 8:24 which simplifies to 1:3. The ratio of its areas is the scale factor squared, so 1^2:3^2=1:9. Since the surface area of the smaller pyramid is 124, the surface area of the larger pyramid must be 124x9. The ratio of volumes is the scale factor cubed, so 1^3:3^3=1:27. If the volume of the larger pyramid is 648, then the volume of the smaller pyramid is 1/27 of that, which equals 24.
Answer:
√19 or 4.36 to the nearest hundredth
Step-by-step explanation:
10^2 = 9^2 + x^2
x^2 = 10^2 - 9^2
x^2 = (10-9)(10+9) = 19
x = √19.
