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2 years ago

What is the equation of a line that is parallel to -3x+4y=4 and passes through the point (4,0)

Mathematics

1 answer:

Andrei [34K]2 years ago

6 0

Answer:

y = 3/4x - 3

Step-by-step explanation:

If you write the equation in slope-intercept form, you will need the slope(m) and the y-intercept(b):

y = mx + b

To solve this, you first need to know the slope of the line in the given equation. In order to do this, change it to slope-intercept form for easy analyzation:

-3x + 4y = 4

= 4y = 3x + 4

= y = 3/4x + 1

Now, you know the slope(m) is 3/4, so you have this much of the slope-intercept equation:

y = 3/4x + b

At this point, you need to find the y-intercept. This can be done by plugging in the given point in the equation and solving for b:

using (4, 0) and y = 3/4x + b,

(0) = 3/4(4) + b

0 = 3 + b

b = -3

So, that means that the equation for the line is:

y = 3/4x - 3

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At noon, you are running to get to class and notice a friend 100 feet west of you, also running to class. If you are running sou

Virty [35]

Answer:

Step-by-step explanation:

Velocity of first Person $v_1=450 ft/min$

Velocity of second Person $v_2=350 ft/min$

Distance between them P=100 ft

Let x be the distance moved by 1 st and y be the distance moved by second person by the time 12:02 PM

In Triangle ABC

$BC=350 t+450 t$

$BC=800 t$

using Pythagoras

$AC^2=AB^2+BC^2$

$AC^2=100^2+(800t)^2$

differentiating with respect to time

$2\times AC\times \frac{\mathrm{d} AC}{\mathrm{d} t}=2\times (800t)\times 800$

$\frac{\mathrm{d} AC}{\mathrm{d} t}=\frac{800^2\times t}{AC}$

AC after 2 minute

$AC=1603.121 ft$

$\frac{\mathrm{d} AC}{\mathrm{d} t}=\frac{800^2\times 2}{1603.121}$

$\frac{\mathrm{d} AC}{\mathrm{d} t}=\frac{64\times 10^4\times 2}{1603.121}$

$\frac{\mathrm{d} AC}{\mathrm{d} t}=798.44 ft/min$

4 0

3 years ago

, If x=y and y = 18, what is the value of 2x-3? 3 A) 21 B) 15 C) 12 D) 10

kicyunya [14]

Answer:

33. 2x18-3. 36-3=33 the answer is 33

4 0

2 years ago

Factorize -pq -pr +mq +mr

trapecia [35]

Answer:

(q + r) (m - p)

Explanation:

-pq - pr + mq + mr

Factor out common term 'p'

= -p(q + r) + mq + mr

Factor out common term 'm'

= -p(q + r) + m(q + r)

Factor out common term '(q + r)'

= (q + r) (-p + m)

(q + r) (m - p)

- PNW

5 0

2 years ago

18.25=4(1.5-3.75x)-.25(4x-5) wat is x?

sdas [7]

The answer is x= - 11/ 16
You can check this by plugging in x for -11/16

5 0

2 years ago

Coyne Corporation is evaluating a capital investment opportunity. This project would require an initial investment of $36,000 t

Zarrin [17]

Answer:

$27,643

Step-by-step explanation:

The net present value is the present value of after tax cash flows from an investment less the amount invested.

The formula for the NPV can be found in the attached image.

The NPV can be found using a financial calculator:

The cash flow for year zero = $-36,000

Cash flow from year one to three = $19,000

Cash flow for year four =$19,000 + $5,000 = $24,000

I = 10%

NPV = $27,643

I hope my answer helps you

5 0

3 years ago