Answer with step-by-step explanation:
The way the question is worded, this actually shouldn't be correct. The correct answer should be 
.
Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.
Why?
By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.
Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are 
and 
.
The ratio of 
is 
.
The reason why it ideally should be and not 
is because the question states 
, which mentions 
first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.
<span>Simplify 48 ÷ ((2+6)-2)-1
Let's follow the PEMDAS rule.
= </span><span>48 ÷ ((2+6)-2)-1
= 48 / (8-2) - 1
= 48 / 6 - 1
= 8 - 1
= 7
So the operation </span><span>48 ÷ ((2+6)-2)-1, following the PEMDAS rule, the final answer is 7.</span><span>
</span>
The next answer will be 14
ANSWER
The correct option is,
EXPLANATION
We were given that the solutions of the quadratic equation are
and
This tells us that,
and
are factors of the quadratic equation.
This implies that the quadratic equation is of the form,
We were also told that
is a non zero constant.
This means that we can use k to multiply the whole equation and the solution will not be affected.
Our equation now becomes,
Hence the correct answer is A.
