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3 years ago

Find the slope of a line given the following two points: (4, 3) and (5, 2). 1 -1 2 -2

1 answer:

7 0

Given two points; (x₁,y₁) and (x₂,y₂) the slope is:

m=(y₁-y₂) / (x₁-x₂) or m=(y₂-y₁) / (x₂-x₁)

In this case:
(4,3)
(5,2)

m=(5-4)/(2-3)=1/-1=-1

Answer: the slope is -1

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Kim sales necklaces to earn extra money. She charges $10 per necklace for material and $2.75 per hour to make unique gills. How

tatiyna

Answer:

31.00

Step-by-step explanation:

10+2.75=12.75

10+2.75*3=18.25

3 0

3 years ago

A right rectangular prism and a rectangular pyramid have the same base and height. How does the volume of the prism compare with

olga_2 [115]

Yeah he go it ..same base and height

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4 years ago

A piece of cardboard measures 10 ft by 10 ft. Four equal squares of size x are removed from the corners. After removing the squa

Gnesinka [82]

Answer:

The value of x would be $\frac{5}{3}$

Step-by-step explanation:

Given,

The dimension of the cardboard = 10 ft by 10 ft,

∵ After removing four equal squares of size x ( in ft ) from the corners,

The dimension of the resultant box would be,

Length = ( 10 - 2x ) ft,

Width = ( 10 - 2x ) ft,

Height = x ft,

The volume of box,

$V=(10-2x)\times (10 - 2x)\times x=x(10-2x)^2 = x(100 - 40x + 4x^2)=100x - 40x^2 + 4x^3$

Differentiating with respect to x,

$V'=100 - 80x + 12x^2$

Again differentiating with respect to x,

$V''=-80 + 24x$

For maxima or minima,

$V'=0$

$\implies 100 - 80x + 12x^2 = 0$

$\implies 3x^2 - 20x + 25=0$

By quadratic formula,

$x=\frac{20\pm \sqrt{20^2-4\times 3\times 25}}{6}$

$x=\frac{20\pm \sqrt{400 - 300}}{6}$

$x=\frac{20\pm \sqrt{100}}{6}$

$x=\frac{20\pm 10}{6}$

$\implies x = \frac{10}{6}=\frac{5}{3}\text{ or } x = 5$

For x = 5/3, V'' = negative,

While for x = 5, V'' = Positive,

Hence, the value of x would be 5/3 ft for maximising the volume.

8 0

4 years ago

Joe has 16 pounds of fertilizer for his three gardens. He uses ⅜ of the fertilizer in his first garden and ¼ of the fertilizer i

poizon [28]

Answer:

3/8

Step-by-step explanation:

3/8 of 16 is 6

1/4 of 16 is 4

6+4 = 10

16-10 = 6

3/8 of 16 = 6

3 0

3 years ago

Un auto viaja con una velocidad promedio de 84 kilómetros por hora. ¿En cuánto tiempo viaja 462 kilómetros?

timama [110]

The car takes the time 5.5 hours i.e.5 hours and 30 minutes to travel 462 kilometres when the car travels at average speed of 84 kilometres per hour

Given the average speed of the car is 84 kilometres per hour and the distance to be travelled is 462 kilometres and asked to find the time taken for the journey of 462 kilometres

To calculate the time taken for the journey we use the below-mentioned formula

$speed=\frac{distance}{Time taken}$