Simplify. What is the answer? 8x + 9d + 3x -5d 11x + 4d 11x + 14d 5x + 4d 15xd
1 answer:
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Answer:
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- <u>She should aim 6 feet down the wall</u>
Explanation:
The diagram attached sketches the situtation.
Since the angle with which the ball hits the wall is the same with which it bounces, angle β is the same for the two shown triangles.
Then, since both are right triangles, then all the angles are congruent and the triangles are similar. Hence, you can equal the ratios of the sides, to make an equation:
- x/4 = y/2 ⇒ x = 2y
You have other equation:
- x+ y = 18
Substitute
- 2y + y = 18
- 3y = 18
- y = 18/3
- y = 6 ← this is the distance down the wall where the ball should hit
- x = 2(6) = 12
Then, she should aim 6 feet down the wall.
When it comes to dividing decimals, bear in mind that, first off you'd want to do away with the decimal point.
now, "you add as many zeros to the other term, as it has decimals", what the heck does that mean?
for example 2.135 ÷ 5
notice, the 2.135 has three decimals, namely three numbers to the right of the decimal point.
since 2.135 has three decimals, then what we do, we add three zeros to 5, AND do away with the decimal point, thus our division is really
2135 ÷ 5000, which is 0.427
now, if we had 2.135 ÷ 5.79
what we do is, since 2.135 has three decimals, we add three zeros to 5.79, and since 5.79 has two decimals, we add two zeros to 2.135, then our division is really
213500 ÷ 579000 <-- notice, no dot on both
which is about 0.3687392
anyhow, that said, check the picture below
now, "you add as many zeros to the other term, as it has decimals", what the heck does that mean?
for example 2.135 ÷ 5
notice, the 2.135 has three decimals, namely three numbers to the right of the decimal point.
since 2.135 has three decimals, then what we do, we add three zeros to 5, AND do away with the decimal point, thus our division is really
2135 ÷ 5000, which is 0.427
now, if we had 2.135 ÷ 5.79
what we do is, since 2.135 has three decimals, we add three zeros to 5.79, and since 5.79 has two decimals, we add two zeros to 2.135, then our division is really
213500 ÷ 579000 <-- notice, no dot on both
which is about 0.3687392
anyhow, that said, check the picture below
Answer:
Step-by-step explanation:
Hello, first, let's use the product rule.
Derivative of uv is u'v + u v', so it gives:
Now, we distribute the expression of f(x) and find the derivative afterwards.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you