All categories

3 years ago

Are the graphs of 2x+7y=6 and 7y = 2x +6 parallel? Explain.

1 answer:

7 0

With questions like this (to see if theyre parallel), all you have to do is see if lines have a congruent slope. if yes (ex: 2 and 2), then they are parallel. if the slopes are opposites (ex: 4 and -1/4), then they are perpendicular. If they have no such relation (ex: -3 and 1/7), then they are neither.

with this problem, find the slope by separating the same variable in each equations, like this:

2x + 7y = 6
-2x -2x

7y = -2x + 6

(the second equation is already separated) so now we have

7y = -2x + 6 and 7y = 2x + 6

since -2 does NOT equal 2, these two graphs/lines are NOT parallel.
Hope this helped!

You might be interested in

42. The diagram represents a ramp in the shape of a right triangle and the lengths

oee [108]

The length of the ramp is 61 feet.

<h3>What is the length of the ramp?</h3>

In order to determine the length of the ramp, Pythagoras theorem would be used.

The Pythagoras theorem: a² + b² = c²

where a = length

b = base

c = hypotenuse

√11² + 60²

√121 + 3600

√3721

= 61 feet

Please find attached the image of the ramp. To learn more about Pythagoras theorem, please check: brainly.com/question/14580675

5 0

2 years ago

A hairdresser combined three bottles of shampoo into one bottle. The first bottle had 4.8 ounces of shampoo, the second bottle h

Korvikt [17]

Answer:

about 20

Step-by-step explanation:

its kindergarden math

6 0

3 years ago

A student solves the following equation and

Phoenix [80]

Answer:

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

Step-by-step explanation:

Considering the expression

$\frac{3}{a+2}-6\cdot \frac{a}{-4+a^2}=\frac{1}{a-2}$

$\frac{3}{a+2}-\frac{6a}{-4+a^2}=\frac{1}{a-2}$

$\mathrm{Find\:Least\:Common\:Multiplier\:of\:}a+2,\:-4+a^2,\:a-2:\quad \left(a+2\right)\left(a-2\right)$

$\mathrm{Multiply\:by\:LCM=}\left(a+2\right)\left(a-2\right)$

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right)-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right)=\frac{1}{a-2}\left(a+2\right)\left(a-2\right)$

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right):\quad 3\left(a-2\right)$

$-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right):\quad -6a$

$\frac{1}{a-2}\left(a+2\right)\left(a-2\right):\quad a+2$

so equation becomes

$3\left(a-2\right)-6a=a+2$

$-3a-6=a+2$

$-3a-6+6=a+2+6$

$-4a=8$

$\mathrm{Divide\:both\:sides\:by\:}-4$

$\frac{-4a}{-4}=\frac{8}{-4}$

$a=-2$

$\mathrm{Verify\:Solutions}$

$\mathrm{Take\:the\:denominator\left(s\right)\:of\:}\frac{3}{a+2}-6\frac{a}{-4+a^2}-\frac{1}{a-2}\mathrm{\:and\:compare\:to\:zero}$

$\mathrm{Solve\:}\:a+2=0:\quad a=-2$

$\mathrm{Solve\:}\:-4+a^2=0:\quad a=2,\:a=-2$

$\mathrm{Solve\:}\:a-2=0:\quad a=2$

So the following points are undefined

$a=-2,\:a=2$

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

4 0

3 years ago

What is the area of the triangle? 13 10 12 units

OLEGan [10]

10 and 12 you never get the number that’s on the slanted side I learned this but I forgot if u add or multiply but the digits that should be used r 10 and 12

7 0

3 years ago

Shaquira is baking cookies to put in packages for a fundraiser. Shakira has made 86 chocolate chip cookies and 42 sugar cookies.

In-s [12.5K]

Answer:

Step-by-step explanation:

The only common factor of the given numbers is 2.

Shaquira can make 2 packages, each containing 43 chocolate chip cookies and 21 sugar cookies.

3 0

3 years ago