Which shows one way to determine the factors of x3 – 12x2 – 2x + 24 by grouping? plzzzzz answerr x(x2 – 12) + 2(x2 – 12) x(x2 –
1 answer:
Answer:
Step-by-step explanation:
The idea of factoring by grouping is that you don't move anything around. You leave the polynomial in descending order of powers of x and group them together in groups of 2.
Then you factor out what is common in each set of parenthesis.
You know if factoring by grouping "works" if what's inside both sets of parenthesis is exactly the same. Both of ours are (x - 12), so grouping "worked". Match the factoring above to one of your answers.
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<u>Given</u>:
Given that Jasmine rides her bike 9 miles in 50 minutes.
We need to determine the speed per hour.
<u>Time per hour:</u>
The time taken is 50 minutes. We need to convert minutes into hours.
Thus, we have;
Thus, the time taken to cover 9 miles is
<u>Speed:</u>
The speed can be determined using the formula,
Substituting the values, we have;
Simplifying, we get;
Thus, Jasmine's speed is 10.8 miles per hour.
Check the picture below.
so we have two parallel lines, notice, the 115° are corresponding angles and thus equal, the 65° and 55° angles are linear angles to 115° and 125° respectively.
that leaves us with a triangle with 65° and 55°, and since all interior angles in a triangle sum up to 180°, then the last angle must be 60°, which has a twin vertical angle across the junction.
since a full revolution or a full circle go-around is 360°, the other two twin vertical angles next to the green 60° angles must be 360° - 60° - 60° = 240°, and since they're twins, each takes half of 240°.
