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2 years ago

Which is the equation of a line perpendicular to the line with the equation:y = 1/4x + 2

Mathematics

1 answer:

Wittaler [7]2 years ago

4 0

Answer:

4x + y = k

Step-by-step explanation:

=> 4y = x + 8

=> x - 4y = -8

Slope = 1/4

The other line's slope = -4

4x + y = k is the answer.

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12p + 7 > 139 greater or less than

bazaltina [42]

Answer:

$\Huge \boxed{p>11}$

Step-by-step explanation:

First, subtract by 7 both sides of equation.

$\displaystyle 12p+7-7>139-7$

Solve.

$\displaystyle 139-7=132$

$12p>132$

Then, divide by 12 both sides of equation.

$\displaystyle \frac{12p}{12}=\frac{132}{12}$

Solve to find the answer.

$\displaystyle 132\div12=11$

$\huge \boxed{p>11}$ , which is our answer.

3 0

2 years ago

Ryan deposited $6,700 into an account at the Town Bank, earning 3.4% interest compounded annually. He made no deposits or withdr

Nonamiya [84]

Answer: The amount of money in his account after 4 years = $7,658.73

Step-by-step explanation:

If interest is compounded annually, then formula to compute amount :

$A=P(1+r)^n$ , where P+ principal value, r= rate of interest, n= time ( in years).

As per given,

P= $6700 , r = 3.4% =0.034, n =4

$A=6700(1+0.034)^4\\\\=6700(1.034)^4\\\\=6700(1.14309455234)\approx7658.73$

Hence, the amount of money in his account after 4 years = $7,658.73

6 0

2 years ago

GEOMETRY SIDE LENGTHS

PilotLPTM [1.2K]

Answer:

I believe that the third answer is correct..... but I'm not positive.

Step-by-step explanation:

if you get the third side of the triangle to be 71 then it would go first. Then it would go to 45-55. And lastly to 71-45

3 0

2 years ago

Help with this please

Alik [6]

Answer:

Yes, the given parallelogram is a rectangle.

Step-by-step explanation:

The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).

The slope formula is

$m=\frac{y_2-y_1}{x_2-x_1}$

$JK=\frac{4-0}{1-(-5)}=\frac{4}{6}=\frac{2}{3}$

$KL=\frac{1-4}{3-1}=\frac{-3}{2}$

$LM=\frac{-3-1}{-3-3}=\frac{-4}{-6}=\frac{2}{3}$

$JM=\frac{-3-0}{-3-(-5)}=\frac{-3}{2}$

The slopes of opposites sides are same it means they are parallel to each other.

The product of slopes of two consecutive sides is

$\frac{2}{3}\times \frac{-3}{2}=-1$

Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.

Yes, the given parallelogram is a rectangle.

7 0

3 years ago

If 3x was the opposite of -5, what is the value of x?

makkiz [27]

Answer:

This would mean 3x=5

so to isolate the x, we divide 5 by 3

and get x=5/3

5 0

2 years ago

Which is the equation of a line perpendicular to the line with the equation:y = 1/4x + 2​

Which is the equation of a line perpendicular to the line with the equation:y = 1/4x + 2