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2 years ago

Find the equation of the purple line.

Mathematics

2 answers:

allsm [11]2 years ago

8 0

Y=1/2x+2 because the slope is 1/2 and the y
intercept is 2

timofeeve [1]2 years ago

4 0

Answer:

Y-3/5x+2

Step-by-step explanation:

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Which is an equation of a direct proportion?

vladimir2022 [97]

Answer:

y=6x-6

Step-by-step explanation:

i think not sure tho

3 0

2 years ago

Read 2 more answers

A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south at 3 ft/s from a point 500

Vedmedyk [2.9K]

Answer:

The rate at which both of them are moving apart is 4.9761 ft/sec.

Step-by-step explanation:

Given:

Rate at which the woman is walking, $\frac{d(w)}{dt}$ = 3 ft/sec

Rate at which the man is walking, $\frac{d(m)}{dt}$ = 2 ft/sec

Collective rate of both, $\frac{d(m+w)}{dt}$ = 5 ft/sec

Woman starts walking after 5 mins so we have to consider total time traveled by man as (5+15) min = 20 min

Now,

Distance traveled by man and woman are $m$ and $w$ ft respectively.

⇒ $m=2\ ft/sec=2\times \frac{60}{min} \times 20\ min =2400\ ft$

⇒ $w=3\ ft/sec = 3\times \frac{60}{min} \times 15\ min =2700\ ft$

As we see in the diagram (attachment) that it forms a right angled triangle and we have to calculate $\frac{dh}{dt}$ .

Lets calculate h.

Applying Pythagoras formula.

⇒ $h^2=(m+w)^2+500^2$

⇒ $h=\sqrt{(2400+2700)^2+500^2} = 5124.45$

Now differentiating the Pythagoras formula we can calculate the rate at which both of them are moving apart.

Differentiating with respect to time.

⇒ $h^2=(m+w)^2+500^2$

⇒ $2h\frac{d(h)}{dt}=2(m+w)\frac{d(m+w)}{dt} + \frac{d(500)}{dt}$

⇒ $\frac{d(h)}{dt} =\frac{2(m+w)\frac{d(m+w)}{dt} }{2h}$ ...as $\frac{d(500)}{dt}= 0$

⇒ Plugging the values.

⇒ $\frac{d(h)}{dt} =\frac{2(2400+2700)(5)}{2\times 5124.45}$ ...as $\frac{d(m+w)}{dt} = 5$ ft/sec

⇒ $\frac{d(h)}{dt} =4.9761$ ft/sec

So the rate from which man and woman moving apart is 4.9761 ft/sec.

3 0

3 years ago

What is the difference when the product of 0.3 and 0.4 is subtracted from the sum of 0.3 and 0.4?

Rudik [331]

Answer:

0.58

Step-by-step explanation:

The first approach to solving the question above is to find the product of 0.3 and 0.4 thus:

$0.3 \times 0.4 = 0.12$

Next step is to find the sum of 0.3 and 0.4 thus:

$0.3 + 0.4 = 0.7$

The final step is to find the difference between the two results. Thus:

$0.7 - 0.12 = 0.58$

Therefore, the product of 0.3 and 0.4 subtracted from the sum of 0.3 and 0.4 is 0.58

7 0

2 years ago

Cedric opened a new gallon jug of milk and poured ¾ cup of milk for his mom, ½ cup milk for his little sister and 2 cups of milk

julia-pushkina [17]

Answer:

12 _3/4

Step-by-step explanation:

3/4 + 1/2 + 2 = 3_1/4

16 cups in a gallon

16-3_1/4

=12_3/4

7 0

3 years ago

A4(3a2 - 2a + 1)<br> What’s the product

guajiro [1.7K]

The answer is

3a^6 - 2a^5 + a^4

6 0

2 years ago