Answer:
$300 was the regular price of the sofa.
Step-by-step explanation:
If $219 is 27% less than the regular price, then it represents 73% of the regular price.
Regular price = r.
r/1 x 73/100 = $219. Reverse this to find that $219/1 divided by 73/100 = r.
To divide fractions, reverse the second fraction and MULTIPLY:
$219/1 x 100/73 = 21900/73 = 300.
Answer:
A=8
Step-by-step explanation:
If you use the formula 30-60-90 which is a-radical 3a-2a
since the hypotenuse is 2a it equals 16
therefore if its 2a all you need to do is divide it where then you get 8.
I hope my answer help you in your question
Answer:
The length side of the original square banner was 9 ft
Step-by-step explanation:
Let
x-----> the length side of the original square banner
we know that
The new area of the banner is equal to

Solve for x

Solve the quadratic equation by graphing
The solution is x=9 ft
see the attached figure
To answer this, you need to know the general form of an absolute value function. the equation for this is f(x<span>) = </span>a|x<span> - </span>h<span>| + </span>k, and in this equation, the vertex is (h, k).
with that information, you can see that your vertex will be (-5, 7). you must take the negative for 5 because the general equation states that your h value is usually subtracted from x. to check your vertex, try plugging it into your general equation:
f(x) = a|x - (-5)| + 7
f(x) = a|x + 5| + 7 ... you see that this matches your given equation. this last part here was just to show why your 5 must be negative; your answer is bolded.