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Grace [21]
3 years ago
15

Find the point on the line y = 4x + 3 that is closest to the origin.

Mathematics
1 answer:
umka21 [38]3 years ago
4 0
That point will be where the perpendicular line through the origin intersects the given line.
.. (-1/4)x = 4x +3
.. -3 = (17/4)x
.. -12/17 = x

The point on the given line that is closest to the origin is (-12/17, 3/17).

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2. A 450-gallon tank full of water is draining at a rate of 20 gallons per minute.
myrzilka [38]

Answer: it would take 22 minutes and 30 seconds

Step-by-step explanation: 450 gallons / 20 gal.per.min

= 22.5

7 0
3 years ago
Read 2 more answers
Which function has a domain of all real numbers?
Alona [7]

Answer:

B.

Step-by-step explanation:

B.  Because the others have exponents whose denominators are even so the  results of , for example x^1/2,  if x is negative is not defined.

For example:

For A, when x  is -4,  (-4)^1/2  is not real.

For B, when x = -4, (2*-4)^ 1/3 = -8^(1/3) =  = -2.

3 0
3 years ago
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What is the value of x in the equation 5 x + 3 = 4 x ?
Y_Kistochka [10]

Answer:

x  = -3

Step-by-step explanation:

5 x + 3 = 4 x

Solve for x

5x - 4x + 3 = 0

x + 3 = 0

x = -3

5 0
3 years ago
Read 2 more answers
PLEASE ANSWER PLEASE PLEASE PLEASE
ozzi

Use the definition of absolute value.

• If 4x + 3 ≥ 0, then

|4x + 3| = 15

4x + 3 = 15

4x = 12

x = 3

• Otherwise, if 4x + 3 < 0, then

|4x + 3| = 15

-(4x + 3) = 15

4x + 3 = -15

4x = -18

x = -9/2

Then the solutions are {-9/2, 3}.

4 0
3 years ago
Solve the system of equations by elimination. Show your work. i’ll give brainliest
My name is Ann [436]

Answer:

x = 5

y = 4

Step-by-step explanation:

multiply the second equation by -1 and add the first equation to eliminate "x"

4x+6y=44\\-4x-2y=-28
_____________

       4y=16

y=16/4 =4

Replace "y" in the first equation:

4x+6(4)=44

4x+24=44

4x=44-24

x=20/4=5

Hope this helps

5 0
2 years ago
Read 2 more answers
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