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yuradex [85]
2 years ago
8

Are these lines parallel, perpendicular, or neither? Y = -4x +5 and y = -1/4x + 3

Mathematics
1 answer:
liubo4ka [24]2 years ago
5 0

Answer:

neither

Step-by-step explanation:

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!!!!! PLEASE HELP ME !!!!!
goblinko [34]

Answer:

The correct option is C : x² + (y +3)² = 9 .

Step-by-step explanation:

We know that the general equation for a circle is ( x - h )² + ( y -k )²= r², Where,

  • r is the radius.
  • (h , k) is the center.

Let the point be ( 0 , -y) , since it is on negative y axis . And the circle passes through the origin that is (0,0) . Hence the center will be 3 units down the y - axis that is ( 0 , -3) .Hence h will be 0 and y = (-3) .

Now its given that the radius of the circle is 3. So on substituting r = 3 , in standard form we have ,

⇒ ( x -h )² + ( y - k )²= r²

⇒ ( x - 0)² + { y - (-3) }² = 3²

⇒ x² + ( y + 3) ² = 3²

⇒ x² + ( y + 3)² = 9

<h3><u>Hence </u><u>the</u><u> </u><u>corre</u><u>ct</u><u> </u><u>option</u><u> </u><u>is</u><u> </u><u>C</u><u> </u><u>[</u><u> </u><u>x²</u><u> </u><u>+</u><u> </u><u>(</u><u> </u><u>y</u><u>+</u><u>3</u><u>)</u><u>²</u><u> </u><u>=</u><u> </u><u>9</u><u> </u><u>]</u><u> </u><u>.</u></h3>

Note that I have attached the graph of the same .

3 0
3 years ago
Which statement best explains the relationship
tankabanditka [31]

Answer:

A) they are parallel because their slopes are equal.

Step-by-step explanation:

Parallel means that their slopes are equal

If they were negative reciprocals they would be perpendicular.

5 0
3 years ago
John worked "x" hours this week and Shanique worked eight hours less than John. Write an algebraic expression for the number of
sergij07 [2.7K]

Answer:

X>8

Step-by-step explanation:

X>8

6 0
3 years ago
Suppose that the concentration of a bacteria sample is 60 comma 000 bacteria per milliliter. If the concentration triples in 4 ​
Elodia [21]

Answer:

1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)

Step-by-step explanation:

The inicial concentration is 60,000, and this concentration triples every 4 days, so we can write the equation:

P = Po * r^t

where P is the final concentration after t periods of 4 days, Po is the inicial concentration and r is the ratio that the concentration increases (r = 3)

Then, we have that:

102000 = 60000 * 3^t

3^t = 102/60 = 1.7

log(3^t) = log(1.7)

t*log(3) = log(1.7)

t = log(1.7)/log(3) = 0.483

so the number of days that will take is 4*0.483 = 1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)

3 0
3 years ago
Is the absolute value of ab equal to the absolute value of a divided the absolute value of b?
Serggg [28]
They can be equal if the absolute value of b is 1.
3 0
4 years ago
Read 2 more answers
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