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Archy [21]
3 years ago
13

If the equation y² - (K-2y + 2k +1 = 0with equal roots find the value of k​

Mathematics
1 answer:
777dan777 [17]3 years ago
8 0

Answer:

y² - (K-  2)y + 2k +1 = 0

equal roots means D=0

D= b^2 - 4ac

a=1, b= (k-2), c= 2k+1

so,

(k-2)^2 - 4(1)(2k+1) = 0

=> k^2 +4 - 8k -4 = 0

=> k^2 -8k = 0

=> k^2 = 8k

=> k= 8k/k

=> k = 8

Therefore the answer is k= 8

Hope it helps........

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Write the equation of the line that is parallel to y=1/4x+5 and passes through (2,-9)
Tamiku [17]

Answer:

The answer is

<h2>y =  \frac{1}{4} x -  \frac{19}{2}</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y=1/4x+5

Comparing with the general equation above

Slope = 1/4

Since the lines are parallel their slope are also the same

Slope of parallel line = 1/4

So the equation of the line using point

(2,-9) and slope 1/4 is

<h3>y + 9  =  \frac{1}{4} (x - 2) \\ y + 9 =  \frac{1}{4} x -  \frac{1}{2}  \\ y =  \frac{1}{4} x -  \frac{1}{2}  - 9</h3>

We have the final answer as

<h3>y =  \frac{1}{4} x -  \frac{19}{2}</h3>

Hope this helps you

8 0
2 years ago
What is the value of 3 in 6300 and 530
mojhsa [17]
The value of three in 6,300 is 3,000 because it is in the thousands place. The three in 530 is in the hundreds place making the value of three 300.  Hope that this helps you :D
5 0
3 years ago
Read 2 more answers
Can someone help me with this math homework please!
Daniel [21]

Answer:

1st, 2nd and 6th options

Step-by-step explanation:

Given

\frac{2}{3} - x + \frac{1}{6} = 6x ( multiply through by 6 to clear the fractions )

4 - 6x + 1 = 36x ← option 1 will have the same solution set

----------------------------------------------------------------------

Adding the 2 fractions on the left side gives

\frac{4}{6} +\frac{1}{6} - x = 6x , that is

\frac{5}{6} - x = 6x ← option 2 will have the same solution set

------------------------------------------------------------------------

From

4 - 6x + 1 = 36x ( add 6x to both sides )

5 = 42x ← option 6 will have the same solution set

8 0
2 years ago
Elena went on a 6-mile walk. She completed the first half of the walk 1 mi/h faster than usual and the second half of the walk 2
xxTIMURxx [149]

Answer:

Her usual rate is 0.8333 miles per hour.

Step-by-step explanation:

The velocity formula is given by:

v = \frac{d}{t}

In which d is the distance and t is the time.

She completed the first half of the walk 1 mi/h faster than usual

Her usual rate is v. 1mph faster is v + 1.

The second half of the walk 2 mi/h slower than the first half.

The first half is v + 1.

2mph slower is v + 1 - 2 = v - 1. Then

Total rate:

7.2 hours, and 6 miles. So

One half is v+1 and the other is v - 1. This is why each is multiplied by 0.5.

0.5(v + 1) + 0.5(v - 1) = \frac{6}{7.2}

0.5v + 0.5 + 0.5v - 0.5 = 0.8333

v = 0.8333

Her usual rate is 0.8333 miles per hour.

8 0
2 years ago
Help me please! If you DO decide to help, please explain it to me since I'm extremely confused! THANK YOU!
den301095 [7]

\bf \cfrac{(-4x^2)(2x^{-2}y)^3}{(16x^5)(4y^3)^2}\implies \cfrac{(-4x^2)(2^3x^{-2\cdot 3}y^3)}{(16x^5)(4^2y^{3\cdot 2})}\implies \cfrac{(-4x^2)(8x^{-6}y^3)}{(16x^5)(16y^6)} \\\\\\ \cfrac{-32x^{2-6}y^3}{256x^5y^6}\implies -\cfrac{x^{-4} y^3}{8x^5y^6}\implies -\cfrac{1}{8x^5x^{4}y^6y^{-3}}\implies -\cfrac{1}{8x^{5+4}y^{6-3}} \\\\\\ -\cfrac{1}{8x^9y^3}

8 0
3 years ago
Read 2 more answers
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