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4 years ago

11

A line passes through the point (-2,-8) and has a slope of -3.

1 answer:

stealth61 [152]4 years ago

6 0

Answer:

Step-by-step explanation:

y + 3 = -3(x + 8)

y + 3 = -3x - 24

y = -3x - 27

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Determine ſ(2) where f(x) =x+1/4x-2

umka2103 [35]

F(X)= x+1/4x-2
f(2) = (2 + 1)/[(4)(2) - 2]
f(2) = 3/6 = 1/2

6 0

3 years ago

In this fulcrum, for the weights to be balance, what do the distances d1 and d2 have to be if the overall length is 12 feet?

mel-nik [20]

For the fulcrum to balance, the product of weight and distance on both sides of the fulcrum must be the same.

Let d1= x. since total distance is 12, we can write d2 = 12 - x

for the fulcrum to balance:

60x = 50(12 - x)

60x = 600 - 50x

110x = 600

x = 5.45

Thus, d1= 5.45
and
d2= 12 - d1 = 12 - 5.45 = 6.55

d1 = 5.45
d2 = 6.55

5 0

3 years ago

Read 2 more answers

san4es73 [151]

Answer:

Step-by-step explanation:

2x - 9y = 23

5x - 3y = -12x - 9y = 23

5x - 3y = -1

7 0

3 years ago

Hillary pours 10 cups of orange juice into glasses that hold 1 2/3 cup each. How many glasses does Hillary fill?

Svetach [21]

$10 = \frac{30}{3 } \\ 1 + \frac{2}{3} = \frac{5}{3} \\ \frac{30}{3} \div \frac{5}{3} = \frac{30}{3} \times \frac{3}{5} = 8glasses$

3 0

3 years ago

A rectangle initially has width 7 meters and length 10 meters and is expanding so that the area increases at a rate of 8 square

Tems11 [23]

Answer:

The length of rectangular is increasing at a rate 0.5714 meters per hour.

Step-by-step explanation:

We are given the following in the question:

Initial dimensions of rectangular box:

Length,l = 10 m

Width,w = 7 m

$\dfrac{dA}{dt} = 8\text{ square meters per hour}\\\\\dfrac{dw}{dt} = 40\text{ centimeters per hour} =0.4\text{ meters per hour}$

We have to find the rate of increase of length.

Area of rectangle =

$A = l\times w$

Differentiating we get,

$\displaystyle\frac{dA}{dt} = \frac{dl}{dt}w + \frac{dw}{dt}l$

Putting values, we get,

$8 = \dfrac{dl}{dt}(7) + (0.4)(10)\\\\\dfrac{dl}{dt}(7) = 8 -4\\\\\dfrac{dl}{dt} \approx 0.5714$

Thus, the length of rectangular is increasing at a rate 0.5714 meters per hour.

5 0

3 years ago