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-Dominant- [34]
3 years ago
7

Find the equation of a line that is perpendicular to y = (1/6)x + 4 and passes through the point (3, 8).

Mathematics
2 answers:
NeX [460]3 years ago
8 0

Answer: y=-6x+26

Step-by-step explanation: We can find the slope of a line that is perpendicular to another line by taking the negated reciprocal of the slope of the original line. So our slope for the perpendicular line is: -6. Now we can put this in a equation to find the y-intercept. So the equation is y=-6x+26

patriot [66]3 years ago
7 0

Answer:

Step-by-step explanation:

Answer: y=26−6x

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Nana76 [90]

Answer:

Fx=\frac{5\pm\sqrt{25+24} }{6}

Step-by-step explanation:

A quadratic equation in one variable given by the general expression:

ax^2+bx+c

Where:

a\neq 0

The roots of this equation can be found using the quadratic formula, which is given by:

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

So:

y(x)=3x^2-5x-2=0

As you can see, in this case:

a=3\\b=-5\\c=-2

Using the quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}=\frac{-(-5)\pm\sqrt{(-5)^2-4(3)(-2)} }{2(3)}=\frac{5\pm\sqrt{25+24} }{6}

Therefore, the answer is:

Fx=\frac{5\pm\sqrt{25+24} }{6}

4 0
3 years ago
0.75=0.4p+100 what does p equal?
neonofarm [45]

Answer:

p=−248.125

Step-by-step explanation:

  1. Subtract 100 on each side of the equation.
  2. After this, you will have 99.25=0.4p.
  3. Divide each side of the equation by 0.4 to get p by itself.
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3 0
3 years ago
Solve for x: (1/2) + 4/(2x) = (x + 4)/10
Charra [1.4K]

Answer:

x  =  5 ,  − 4

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable  x .

8 0
3 years ago
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2 years ago
A furniture store has a chair originally priced at $76 on sale for $58. What is the percent of decrease rounded to the nearest t
BabaBlast [244]

Answer:

  23.7%

Step-by-step explanation:

The percentage change can be computed as ...

  ((new value)/(original value) -1) × 100%

  = (58/76 -1) × 100%

  ≈ (0.763 -1) × 100% = -23.7%

The decrease is 23.7%.

7 0
2 years ago
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