Let distance of Sarah from school = x
Distance of sam from school = 3.5x or 13.3
=> 3.5x = 13.3
X = 13.3/ 3.5
X = 3.8
Answer:
20 miles (Answer B)
Step-by-step explanation:
The northbound biker travels (4 mph)(4 hr) = 16 mi, and
the eastbound biker travels (3 mph)(4 hr) = 12 mi.
They travel at right angles to one another. Thus, the Pythagorean Theorem applies here. The distance between the two bikers is d = √( [12 mi]^2 + [16 mi]^2 ), or √(144 + 256) mi, or √400 mi, which works out to 20 miles.
Answer B is correct.
Answer:
A) 3.5
16 shovels full
Step-by-step explanation:
9x + 13 = 17x - 15
8x = 28
x = 3.5
20 + 5x = 32 + 4.25x
0.75x = 12
x = 16
A long time honestly.
roughly around 4 hours i would think
Answer:
b = y-intercept; The equation is y = mx + b. The x and y variables remain as letters, but m and b are replaced by numbers (ex: y = 2x + 4, slope = 2 and y-intercept = 4). The following video will show a few examples of understanding how to use the slope and intercept from an equation.
Vertex (4, -13) y = x^2 - 8x + 3 x-coordinate of vertex: x = -b/(2a) = 8/2 = 4 y-coordinate of vertex: y(4) = 16 - 32 + 3 = -13 Vertex (4, -13) To find y-intercepts, make x = 0 --> y = 3 To find x-intercepts, solve the quadratic equation y = 0 Use the improved quadratic formula D = d^2 = b^2 - 4ac = 64 - 12 = 52 --> d = +- 2sqrt13 There are 2 x-intercepts (2 real roots): x = -b/(2a) +- d/(2a) = 8/2 +- (2sqrt13)/2 = 4 +- sqrt13 graph{x^2 - 8x + 3 [-40, 40, -20, 20]}
Step-by-step explanation: