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2 years ago

What is the slope of the line whose equation is 2x−4y=10 ?

Mathematics

2 answers:

Olenka [21]2 years ago

6 0

solve for y

2x−4y=10

-2x -2x subtract -2x from both sides

-4y = -2x +10

-4 -4 Divide both sides by -4 (coefficient on y)

y = -2/-4x + 10/-4

y = 1/2x - 5/2

the slope is the number on the x (coefficient)

and its 1/2

vredina [299]2 years ago

5 0

The slope is 1/2

You find the answer by dividing everything by 3

2x-4y=10
————-
2 2. 2
You’ll then get

x-2y= 5
Divide by 2y and you get 1/2 + -5/2

The slope is 1/2

The whole equation would be y=1/2 + -5/2

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What is the equation of the line perpendicular to 3x+y=6 that passes through the point (0,8)

Alekssandra [29.7K]

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$3x + y = 6$

$y = - 3x + 6$

The coefficient of x is the slope of the line , So the slope of the above equation is -3 .

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Remember from now on ,

Product of multiplying the slopes of two lines which are perpendicular to each other , is -1 .

Thus ;

$( - 3) \times (m) = - 1$

m is the slope of the line which we want.

$- 3m = - 1$

Negatives simplifies

$3m = 1$

Divide sides by 3

$\frac{3m}{3} = \frac{1}{3} \\$

$m = \frac{1}{3} \\$

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We have following equation to find the point-slope form of the linear functions :

$y - y(0) = m(x - x(0))$

x(0) and y(0) are the coordinates of the point which the line passed through.

$y - 8 = \frac{1}{3} (x - 0) \\$

$y - 8 = \frac{1}{3} x \\$

Add sides 8

$y = \frac{1}{3} x + 8 \\$

Done....

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1 year ago

a buret is a tool designed to transfer precise amounts of liquid .A buret initially contains 70.00 millimeters of a solution and

katrin [286]

Let:

Vbu= Volume of the buret

Vbk= Volume of the beaker

A buret initially contains 70.00 millimeters of a solution and a beaker initially contains 20.00 ml of the solution the buret drips solution into the Beaker. each drip contains 0.05 mL of solution, therefore:

x = Number of drips

a = volume of each drip

$\begin{gathered} Vbu=70-ax \\ Vbk=20+ax \\ \text{where:} \\ a=0.05 \\ Vbu=70-0.05x \\ Vbk=20+0.05x \end{gathered}$

after how many drips will the volume of the solution in the buret and beaker be equal ? Vbu = Vbk:

$\begin{gathered} Vbu=Vbk \\ 70-0.05x=20+0.05x \\ \text{Solve for x:} \\ 0.1x=70-20 \\ 0.1x=50 \\ x=\frac{50}{0.1} \\ x=500 \end{gathered}$

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7 months ago

A skateboard is originally priced at $130. The online retailer gives a discount and the skateboard is now priced at $78. Enter t

Zinaida [17]

Answer:40%

Step-by-step explanation:

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2 years ago

The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain? {5, 8} {-5, -8} {3, 8} {4, 7} {4, 8}

Savatey [412]

The range is the ouutput from inputing the input
basically
25=k²+2k+1 and 64=k²+2k+1
the values that satisfy both equations (not at the same tim) are the valuess that are the domain
solve each
25=k²+2k+1
minus 25 both sides (or recognize the perfect square trinomial, but anyway)
0=k²+2k-24
factor
0=(k+6)(k-4)
set to zero
k+6=0
k=-6
k-4=0
k=4
k=-6 or 4

64=k²+2k+1
minus 64 both sides
0=k²+2k-63
facor
0=(k-7)(k+9)
set to zer
k-7=0
k=7
k+9=0
k=-9
k=-9 or 7

so the domain has the numbers
-9,-6,4,7
it seems we only want the positive square roots so
answer is {4,7} is the domain

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2 years ago

-2 + (3+x)/5 - 3 = -9 what is x

TiliK225 [7]

+2 on -2 and -9

+3 on -3 and 3

remove parenthesis

6/5 = 1.2

x= 1.2 / -.7

x=-1.4

7 0

2 years ago