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kifflom [539]
3 years ago
6

Find the midpoint of the segment with the following endpoints. (4,5) and (9,2)

Mathematics
1 answer:
viktelen [127]3 years ago
7 0

Answer:

(13/2,7/2)

Step-by-step explanation:

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Solve for x, 0 ≤ x ≤2π (2cosx-1)(2sinx+√3 ) = 0
vladimir1956 [14]

Answer:

x = π/3, x = 5π/3, x = 4π/3

Step-by-step explanation:

Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3  = 0.

2\cos \left(x\right)-1=0,\\2\cos \left(x\right)=1,\\\cos \left(x\right)=\frac{1}{2}

Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.

Similarly:

\:2\sin \left(x\right)+\sqrt{3}=0,\\2\sin \left(x\right)=-\sqrt{3},\\\sin \left(x\right)=-\frac{\sqrt{3}}{2}

The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.

So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.

5 0
3 years ago
A student placement center has request from six students for interviews regarding employment with a particular consulting firm,
Nikolay [14]
Use the image below for your answer please

3 0
3 years ago
15 people shared 65 1/2 acres of land. How much did each get?
beks73 [17]

You need to divide 65 1/2 by 15.

65 \dfrac{1}{2} \div 15 =

= \dfrac{131}{2} \div \dfrac{15}{1}

= \dfrac{131}{2} \times \dfrac{1}{15}

= \dfrac{131 \times 1}{2 \times 15}

= \dfrac{131}{30}

= 4 \dfrac{11}{30}

Each one got 4 \dfrac{11}{30} acres.


3 0
3 years ago
Read 2 more answers
In the number 3,335 how many times greater is the value of the 3 on the left than the 3 on the right
AlekseyPX

Answer:

(If they were talking about 3,335, then) 100 times greater

(If they were talking about 3,335 then) 10 times greater

Step-by-step explanation:

When you visualize it, ignore the other numbers and think of only the threes.

Count how many spaces/places they are from each other, and that's how many 0s you should put after a 1 as your answer.

Same as decimal moving and multiplying by 10's.

8 0
3 years ago
Pls help me I’ve been asking this question for so long now nobody will answer
forsale [732]
Answer: A

The y-intercept is 43, which means that at 0 hours it was 43 degrees. The slope is -2 so it means that the temperature is decreasing at a rate of 2 degrees per hour.
5 0
3 years ago
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