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JulijaS [17]
2 years ago
12

Write an equation of the line that passes through (1,-3) and is perpendicular to the line

-%5Cfrac%7B1%7D%7B3%7Dx%2B5" id="TexFormula1" title="y=-\frac{1}{3}x+5" alt="y=-\frac{1}{3}x+5" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
3 0

Answer:

y = 3x

Step-by-step explanation:

Given line slope = m = -1/3

   perpendicular line slope = - 1/m = 3

Point slope form through point 1, - 3

(y+3) = 3 ( x-1)       expand and rearrange

y -3 = 3x- 3

  y = 3x - 6  

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If y varies directly as x and y = 21 when x = 5, find x when y = 42.
Lorico [155]

Answer: 10

<u>Step-by-step explanation:</u>

varies directly means: \frac{y}{x} = k

Step 1: solve for k   ⇒  \frac{21}{5} = k

Step 2: plug in the given value and k to solve for the missing value: \frac{42}{x} = \frac{21}{5}

42(5) = 21(x)

\frac{42(5)}{21} = \frac{21(x)}{21}

2(5) = x

10  = x


5 0
3 years ago
Kristin is 20 km behind a truck that is driving 90 km/h how long will it take her to catch up to the truck? how far will she go
malfutka [58]
Time taken for Kristin to catch up with the truck will be found using the formula
time=(distance)/(speed)
distance=20 km
speed=90 km/h
thus
time=20/90=2/9 hours

Answer: 2/9 hours
5 0
3 years ago
I really need help with this<br><br> Can someone help me thx<br><br><br> Plsssssss
omeli [17]

Answer:

10x^2 - 4x

Step-by-step explanation:

5x - 2 times 2x will equal the area of 'Potatoes.'

5x times 2x is 10x^2.

2 times 2x is 4x.

I cannot provide an exact value because x hasn't been identified.

I hope this helps.

3 0
3 years ago
Answer asap 50 point's brainlyest.
Anni [7]

Answer:

Option B

The answer is 16

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • 4(v – 13) = 12
<h3><u>To </u><u>Find</u>;</h3>
  • The value of v

Now,

4(v – 13) = 12

4(v – 13)/4 = 12/4

v – 13 = 3

v – 13 + 13 = 3 + 13

v = 16

Thus, The value of v is 16

<u>-TheUnknownScientist 72</u>

8 0
2 years ago
Read 2 more answers
You know that a rope is no more than 150 feet long. You need to cut the rope into 3 pieces.
Sunny_sXe [5.5K]

Answer:

80 ft

Step-by-step explanation:

<em>hey there,</em>

<em />

< We know that the rope is 3 pieces long. To make this into an equation, let's just write x + y + z = 150.

Assuming "y" is our second piece, we can tell y = 2x, because it is two times the size of the first piece, which is "x". We also know "z" (our third piece): z = 30.

We can try inputting all the things we know now. x + (2x) + 30 = 150. From here, we can find that x = 40. Since y is our second piece, y = 2x, so 2 x (40) = 80. The second piece would be 80 feet long. >

<u>Hope this helped! Feel free to ask anything else.</u>

7 0
3 years ago
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