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2 years ago

Find the equation of the line parallel to y = 2/3-7 (2 over 3) passing through A(6,-1).

Mathematics

1 answer:

wariber [46]2 years ago

8 0

Answer:

y = 2/3x - 5

Step-by-step explanation:

y = 2/3x + b

-1 = 2/3(6) + b

-1 = 4 + b

-5 = b

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What is the volume of this rectangular prism?

Anton [14]

Answer:

15.625

Step-by-step explanation:

V=wxhxl=2.5x2.5x2.5=15.625

7 0

3 years ago

The quadratic function d= -4x+1,100 models a snowboarder's distance, in feet, from the bottom of a hill x seconds after the snow

Fynjy0 [20]

Answer:

16 seconds (Approximately)

Step-by-step explanation:

Given:

The function that gives the distance of snowboarder from the bottom of hill with time 'x' is:

$d=-4x^2+1100$

Final position of the snowboarder is $d=100\ ft$

Now, plugging in 100 for 'd' and solving for 'x', we get:

$100=-4x^2+1100$

Adding -1100 both sides, we get:

$100-1100=-4x^2+1100-1100\\-1000=-4x^2$

Dividing both sides by -4, we get:

$\frac{4x^2}{4}=\frac{1000}{4}\\x^2=250$

Taking square root and neglecting the negative root as time can't be negative. So,

$\sqrt{x^2}=\sqrt{250}\\x=5\sqrt{10}=15.8\ s\approx 16\ s$

Therefore, after 16 seconds, the snowboarder will be at a distance of 100 ft from bottom of hill.

7 0

3 years ago

the combination for a lock is a 3 didget number the didgets are the prime factors of 42 listing from least to greatest what is t

zhannawk [14.2K]

42 = 2 * 3 * 7

So, <span>the combination for the lock is 237</span>

3 0

3 years ago

(y-2)^2=-16(x-3) what is it

Dmitrij [34]

(y-2)² = -16(x-3)

y²-4y+4 = -16x+48

y²-4y = -16x + 44

Hope it helped!

5 0

3 years ago

Reserve Problems Chapter 4 Section 5 Problem 2 A laptop company claims up to 10.1 hours of wireless web usage for its newest lap

Viktor [21]

Answer:

0.1151

Step-by-step explanation:

Given that a laptop company claims up to 10.1 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 9.5 hours and standard deviation 30 minutes.

If X is the battery life then X is N(9.5, 0.5)

(we convert into one unit for calculations purpose here hours)

a) the probability that the battery life is at least 10.1 hours

= $P(X\geq 10.1)\\=P(Z\geq \frac{10.1-9.5}{0.5} )\\= P(Z\geq 1.2)\\=0.1151$

we get the probability that the battery life is at least 10.1 hours is 0.1151

4 0

3 years ago