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3 years ago

Mandy is on a bus that is traveling at a constant speed of 60 miles per hour. How far will she travel is 3 1/2 hours?

Mathematics

2 answers:

Sloan [31]3 years ago

6 0

The answer will be 195 miles

Shalnov [3]3 years ago

5 0

she will travel 210 miles

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Point R is located at (3,2) and point S is located at (8,15) . What are the coordinates of the point that partitions the direct

faltersainse [42]

The coordinates of the point can be solve using the fomula:

x = x1 + r( x2 - x1 )
y = y1 + r( y2 - x1)
where r is the ratio that partitions the segment
x = x1 + r( x2 - x1 )
x = 3 + 1/3( 8 - 3 )
x = 3 + 1/3( 5 )
x = 14/3
y = y1 + r( y2 - x1)
y = 2 + 1/3( 15 - 2)
y = 2 + 1/3( 13 )
y = 19/3
so the coordinate is ( 14/3 , 19/3 )

8 0

3 years ago

I am a product one of my factors is 9 the sum of my two factors is 13 what number am i

lesya692 [45]

If 1 of ur factors is 9...and the sum of ur factors is 13....then ur other factor is (13 - 9) = 4

so u have 2 factors, 9 and 4, and u r the product, then u r (9 * 4) = 36 <==

3 0

3 years ago

Michelle biked 21 miles in 4 hours.

Tomtit [17]

Part A: 5.25
Average speed is 5.25 mi per hr

Part B: 8 hrs because
42 divided by 5.25 is 8

8 0

3 years ago

A door of a lecture hall is in a parabolic shape. The door is 56 inches across at the bottom of the door and parallel to the flo

Arada [10]

Answer:

The parabolic shape of the door is represented by $y - 32 = -\frac{2}{49}\cdot x^{2}$ . (See attachment included below). Head must 15.652 inches away from the edge of the door.

Step-by-step explanation:

A parabola is represented by the following mathematical expression:

$y - k = C \cdot (x-h)^{2}$

Where:

$h$ - Horizontal component of the vertix, measured in inches.

$k$ - Vertical component of the vertix, measured in inches.

$C$ - Parabola constant, dimensionless. (Where vertix is an absolute maximum when $C < 0$ or an absolute minimum when $C > 0$ )

For the design of the door, the parabola must have an absolute maximum and x-intercepts must exist. The following information is required after considering symmetry:

$V (x,y) = (0, 32)$ (Vertix)

$A (x, y) = (-28, 0)$ (x-Intercept)

$B (x,y) = (28. 0)$ (x-Intercept)

The following equation are constructed from the definition of a parabola:

$0-32 = C \cdot (28 - 0)^{2}$

$-32 = 784\cdot C$

$C = -\frac{2}{49}$

The parabolic shape of the door is represented by $y - 32 = -\frac{2}{49}\cdot x^{2}$ . Now, the representation of the equation is included below as attachment.

At x = 0 inches and y = 22 inches, the distance from the edge of the door that head must observed to avoid being hit is:

$y -32 = -\frac{2}{49} \cdot x^{2}$