The first step for solving this expression is to write 6q as a difference.
8q² + 10q - 4q - 5
Now factor out 2q from the first part of the expression (8q² + 10q).
2q × (4q + 5) - 4q - 5
Extract the negative sign from the second part of the expression (-4q - 5).
2q × (4q + 5) - (4q + 5)
Lastly,, factor out 4q + 5 from the expression to find your final answer.
(4q + 5) × (2q - 1)
This means that the correct answer to your question is (4q + 5) × (2q - 1),, or option D.
Let me know if you have any further questions.
:)
If the angle G is moved to a different spot in the circle the angle FGH and angle FEH in the cyclic quadrilateral will change to make it supplementary.
<h3>How to find angles of cyclic quadrilateral?</h3>
A cyclic quadrilateral is inscribed in a circle. It has all its vertices on the circumference of the circle.
Opposite angles in a cyclic quadrilateral are supplementary angles. That means they add up to 180 degrees.
Therefore,
∠F + ∠H = 180°
∠G + ∠E = 180°
Hence, if we moved ∠G to a different spot on the circle, angle FGH would change but angle FEH will also change to make the two opposite angles supplementary.
Therefore, Felix was wrong.
learn more on cyclic quadrilateral here: brainly.com/question/21208662
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Answer is B.) (-3,-3) and (2,7)
We simply substitute 6 into the equation:
f(6) = -2(6 - 4)² + 22
f(6) = 14
The company's profit is 14 thousand dollars
hope it helped :).
Answer:
Mr. Lim will have $2500
Step-by-step explanation:
Given:
The total amount of money which Mr. Lim, Mr. Tan and Mr. Chan is $8650;
Mr. Lim has $450 more than what Mr. Tan has;
Mr. Chan has double the amount of money than what Mr. Tan has.
Therefore, if we assume that the amount of money Mr. Tan has as x, then...
Total money = Mr. Tan + Mr. Lim + Mr. Chan
therefore,
8650 = x + (x + 450) + 2x
8650 = <u>x + 2x + x</u> + 450
8650 = 4x <u>+ 450</u>
8650 - 450 = 4x
8200 = <u>4</u>x
8200/4 = x
2050 = x
As we assumed earlier, x will be equal to the amount of money Mr. Tan has and the question is asking us how much money Mr. Lim has. To find this out, you have to add $450 to the amount of money Mr. Tan has which is $2050. This is because the question also gives us that Mr. Lim has $450 more that Mr. Tan.
I hope this helped you :)
