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ipn [44]
1 year ago
10

The sum ∫2−2() ∫52()−∫−1−2() can be written as a single integral in the form ∫() determine and

Mathematics
1 answer:
kow [346]1 year ago
6 0

We have

\displaystyle \int_{-2}^2 f(x) \, dx - \int_{-2}^{-1} f(x) \, dx = \int_{-1}^2 f(x) \, dx

so that

\displaystyle \int_{-2}^2 f(x) \, dx + \int_2^5 f(x) \, dx - \int_{-2}^{-1} f(x) \, dx \\\\ ~~~~~~~~~~~~ =  \int_{-1}^2 f(x) \, dx + \int_2^5 f(x) \, dx \\\\ ~~~~~~~~~~~~ = \boxed{\int_{-1}^5 f(x) \, dx}

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If LM = MK, LK =7x-10, KN = x+3, MN = 9x-11, and KJ =28, find LJ
marusya05 [52]

Answer:


Step-by-step explanation:

Suppose J, K, L, M, N are points on the same line.


MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14


Since LK = MK and LK = 7x - 10, then


7x - 10 = 8x - 14


8x - 7x = -10 + 14


x = 4


LJ = MK + KJ


MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18


LJ = 18 + 28 = 46


Read more on Brainly.com - brainly.com/question/5067118#readmore

8 0
3 years ago
Read 2 more answers
A person standing 20 feet from a street light casts a 10 foot shadow. How many times taller is the streetlight than the person?
Illusion [34]
Check the picture below.

they're at a 3:1 ratio, thus, 3 times.

7 0
3 years ago
Solve the following: 3.12 × 1,000 = _____.
torisob [31]

Answer:

60000000.00

Step-by-step explanation:

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8 0
3 years ago
Twice the difference of a number and 9 equals 8
ladessa [460]

Answer:

13 is the number.

Step-by-step explanation:

Given:

Twice the difference of a number and 9 equals 8.

Let the unknown number be 'x'.

Therefore, as per question:

The difference of 'x' and 9 = x-9

Twice the difference means 2 times the difference. So, we multiply 2 to the difference. Therefore,

2(x-9)

Now, the above expression is equal to 8. So, we equate the above expression to 8. This gives,

2(x-9)=8

Solving for 'x', we get:

Using distributive property of addition and distributing 2 inside the bracket. This gives,

2\times x-2\times 9=8\\\\2x-18=8\\\\2x=8+18\\\\2x=26\\\\x=\frac{26}{2}=13

Therefore, the unknown number is 13.

Now, we can verify our answer.

2(13-9)=26-18=8

Therefore, the answer is correct.

3 0
3 years ago
Seventh grade
aleksandrvk [35]

Answer:

2.8 hours

Step-by-step explanation:

36.68 / 13.1 = 2.8

7 0
2 years ago
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