D is halfway between A and B
so the coordinates of D are (2,2)
E is halfway between A and C so the coordinates of E are (-1,1)
now you need to find the gradient/slope of DE and BC using the formula:
<h3>
<u>G</u><u>r</u><u>a</u><u>d</u><u>i</u><u>e</u><u>n</u><u>t</u><u> </u><u>o</u><u>f</u><u> </u><u>D</u><u>E</u><u>:</u><u> </u></h3>
SUB IN COORDINATES OF D AND E
therefore the gradient of DE is 1/3.
<h3>
<u>G</u><u>r</u><u>a</u><u>d</u><u>i</u><u>e</u><u>n</u><u>t</u><u> </u><u>o</u><u>f</u><u> </u><u>B</u><u>C</u><u>:</u></h3>
<em>S</em><em>U</em><em>B</em><em> </em><em>I</em><em>N</em><em> </em><em>C</em><em>O</em><em>O</em><em>R</em><em>D</em><em>I</em><em>N</em><em>A</em><em>T</em><em>E</em><em>S</em><em> </em><em>O</em><em>F</em><em> </em><em>B</em><em> </em><em>A</em><em>N</em><em>D</em><em> </em><em>C</em>
<em></em>
therefore the gradient of BC is -2/-6 which simplifies to 1/3.
<h3>
therefore, BC and DE are parallel as they both have a gradient/slope of 1/3 and parallel lines have the same gradient</h3>
To do this, we must set up ratios:
Option One:The first options costs only
$0.0092/gram (a fraction of a penny)!
Option Two:
The second option costs only
$0.0085/gram (cheaper than option one)!
Option Three: This requires a little more work. First, we have to convert the grams into kilograms. For every 1 kg, there is 1,000 g. Therefore,
1,000g costs $5.65. Next, we set up the ratio as usual:
The third option costs
$0.00565/gram.
Therefore,
option three is the cheapest! Hope this helps!
Answer:
the second row is not a function! top row is a function
Step-by-step explanation:
because in order for it to be a function for every x there is exactly one y meaning there is no repeating x values! the second row had x = 5 twice, therefore they repeated x values meaning it's not a function
Answer:
Step-by-step explanation:
We are going to use the identity
because this identities right hand side matches your expression where
and .
So we have that is equal to .