Answer:
a) 6, 7, 8, 9, ... , 15
b) 1, 3, 5, 7, ... , 19
Step-by-step explanation:
plug in the position as n
First we need to find slope of given line −4x+3y=−2
So convert it into slope intercept form y=mx+b
−4x+3y=−2
3y=4x−2
y=4/3x−2/3
Comparing above equation with y=mx+b gives m=4/3
Hence slope of given line is 4/3.
<em>We need slope of perpendicular line which is always "negative reciprocal of given slope"</em>.
Negative of 4/3 is -4/3.
taking reciprocal gives -3/4
Hence slope of required perpendicular line is m=-3/4
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Now we need to find y-intercept of −7x−7y=6
y-intercept is always the y-value when x=0 so let's plug x=0 into −7x−7y=6
−7(0)−7y=6
0−7y=6
−7y=6
y=-6/7
y-intercept is also called "b" in y=mx+b
hence b=-6/7
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Now we know that slope of perpendicular line is m=-3/4 and y-intercept b=-6/7
so plug both into formula y=mx+b
We get Final answer is 
Answer: B or the second choice
Step-by-step explanation:
well for triangle DEF since E is on the top left, it should be on the bottom right. While F was on the bottom right, it would be on the top left where E originally was. The angles inside has the same situation with E and F, however D stills stays at the top because when reflected like a mirror, D stays at the top. Sorry it’s long and hope this helps!
PS u also took a pic of the correct answer lol XD
Answer:
At the restaurant you only have $30 to spend on dinner.
=> 8% sales tax is applied in your bill.
=> And need to leave a 20% tip.
Now, let’s find out how much will be the most expensive item you can order
Let us solve for the 8% tax first
=> 30 dollars * 8%
=> 30 dollars *.08 = 2.4 dollars
Then let’s solve the 20% tip
=> 30 dollars * .20 = 6 dollars
Solve
=> 2.4 + 6.00 = 8.4 dollars
=> 30 dollars – 8.4 dollars = 21.6 dollars
Thus, you can only spend around 22 dollars to be able not to exceed at your 30 dollars budget.
