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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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Abdul runs 7 miles in 64 minutes. How many minutes does he take per mile?
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44/9=4.88888889. It takes 4.88888889 or about 5 dollars per hour.

Hoped I helped!

5 0
3 years ago
Read 2 more answers
The volume of a cube is 343 cubic centimeters. how many centimeters long is each edge of the cube?
motikmotik
If the volume is 343 cubic cm the length of each side is 7cm.

3 0
3 years ago
PLEASE HELP!!!!!!!Find the length of the missing sides. Round your answers to the nearest tenth. (Hint: Always make sure to labe
Reptile [31]

Answer:

(9.37, 17.7) ; (14.10, 19.42); (20.8, 22.3)

Step-by-step explanation:

For the first picture :

The missing angle :

180 - (32 + 90)

180 - (122) = 58°

To obtain the length of side x:

From ptthagoras:

Tan58° = opposite / Adjacent

1.6003345 = 15 / x

x = 15 / 1.6003345

= 9.37

y = sqrt(15^2 + 9.37^2)

y = sqrt(312.7969)

y = 17.7m

2)

Missing angle :

From ptthagoras :

Sin54° = opposite / hypotenus

0.8090169 = y/ 24

y = 0.8090169 * 24

y = 19.42

x = sqrt(24^2 - 19.42^2)

x = sqrt(198.8636)

x = 14.10

3)

Sin21° = opposite / hypotenus

0.3583679 = 8 /y

y = 8 / 0.3583679

y = 22.3

x = sqrt(22.3^2 - 8^2)

x = sqrt(433.29)

x = 20.8

7 0
3 years ago
The slope of the line below is -2. Use the coordinates of the labeled point to find the point-slope equation of the line. (4, -6
r-ruslan [8.4K]

<u>Answer:</u>

The point-slope equation of the line is y = -2x +2 or 2x+y = 2

<u>Solution: </u>

Let us assume that the slope is m and the y intercept of the line is b

Hence, y=m x+b--------- (i)

y intercept means we need to find the value of y when x is 0

Here the line passes through point (4,-6) and slope m = (-2)

Now putting the point (4,-6) in equation (i) we get,

\Rightarrow-6 = m\times4 +b

\Rightarrow-6 = (-2)\times4 +b

\Rightarrow-6 = -8 +b

\Rightarrow-6+8 =b

\Rightarrow b = 2

So, the equation of the line will be will be y = -2x +2 or 2x+y = 2

6 0
3 years ago
The difference of 16 and 2 divide by 7<br>make the equation ​
Rus_ich [418]

Answer:

(16-2)/7

Step-by-step explanation:

16-2=14

14/7=2

Equation: (16-2)/7

3 0
2 years ago
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