If a block is moving at a constant speed of 4 m/s and travel for 15.43 s, what distance did it travel in km, show al work.

0.06172km

Step-by-step explanation:

If a block is moving at a constant speed of 4 m/s and travel for 15.43 s, what distance did it travel in km, show al work.

The formula for Distance travelled = Speed × Time

From the above question,

Speed = 4 m/s

Time = 15.43s

Hence, Distance = 4m/s × 15.43s

Distance = 61.72 m

We are asked from Distance in km

1 m = 0.001 km

61.72m = x

Cross Multiply

x = 61.72 × 0.001km

x = 0.06172km

Therefore, the distance the block travelled = 0.06172km

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)