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Elanso [62]
3 years ago
6

I don't know how to do this please help. Thank you

Mathematics
1 answer:
Andreyy893 years ago
7 0
Let y = \frac{4}{3} x be L₁  & the unknown be L₂

Now, if L₂ is perpendicular to L₁ then the product of their gradient (m) is -1.  This implies that the gradient of L₂ is the negative reciprocal of L₁:

∴ if m of  L₁ = \frac{4}{3}

then m of L₂ = - \frac{3}{4}

Now since L₂ passes through the line (4, 2),

then by using the point-slope form (y - y₁) = m (x - x₁)
     ⇒      (y - 2) =  - \frac{3}{4} (x - 4)
     ⇒   4 (y - 2) = -3 (x - 4)
     ⇒      4y - 8 = -3x + 12
     ⇒    4y + 3x = 20

∴ the line that passes through the point (4,2) that is perpendicular to the line y = 4/3x  is characterized by the equation  4y + 3x = 20
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Kelly uses cruise control to drive at a constant speed. She travels first 192 miles in 3 hours. At the rate, how long will it ta
ioda

Answer:

Step-by-step explanation:

rate = d / t

rate = 192 / 3

rate = 64 miles / hour

Now you want to know how long it can take to get 448 miles

d = r * t

t = d / r

t = 448/64

t = 7 hours.

You could actually do it using proportions.

192/3 = 448/x                   Cross multiply

192*x = 448*3

192*x = 1344                    Divide by 192

x = 1344/192

x = 7

Do this the way you feel is the best way.

5 0
2 years ago
Read 2 more answers
6000 increased by 145%
Lisa [10]
Your question would be clearer if written as "What is 145% of 6000?"

1.45(6000) = 8700
8 0
3 years ago
Fill in the missing value to make the following ratio Equivalent <br><br><br> ___:5=16:20
Veronika [31]

Answer:

4

Step-by-step explanation:

20÷4=5 so 16÷4=4 :))

Hope that helps.

3 0
3 years ago
Needing help on my geometry final, I have been in and out of the hospital, any help is appreciated.
quester [9]

Answer:

1. area = 1/2bh = (1/2)(21)(18) = 189 yd²

2. 3x2x3x2 = 36 different ways

3. area of kite = (1/2)(18)(24) = 216 units²

4. 8:52  or reduced,   2:13

5. Sorry, this is not my strong point

Step-by-step explanation:

7 0
3 years ago
Part C: Of the following choices, which equation is the best fit line for the data
KatRina [158]

Step-by-step explanation:

Part C: Of the following choices, which equation is the best fit line for the data

As we can see from the data, the population size are decreased year by year, so the slope of the line of best fit must be a negative number.

So we have: C and D left.

Let x = 0, year 2005, the population size is 296 around 320, hence, we choose D.

D f(x) = -34x + 320

Part D: What is the predicted population size for the year 2010? How does that compare to the real data? Round to the nearest million.

year 2010, x =5 so let substitute x =5 into  f(x) = -34x + 320

<=> f(x) = -34*5 + 320

= 150 mil

The result is smaller than the real data, (201-150 = 51 mil)

Part E: In what year is the population predicted to go extinct

the population predicted to go extinct when f(x)= 0

<=> -34x + 320 = 0

<=> x  ≈ 9.4

So after 10 years, the the population predicted to go extinct

3 0
3 years ago
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