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pshichka [43]
3 years ago
11

Which of the following equations has infinitely many solutions?

Mathematics
1 answer:
Valentin [98]3 years ago
7 0

Answer:

B

Step-by-step explanation:

If you look at A and you subtract 3x by 4x you get x and you subtract 3 from -7 and you get -10. But if you look at B you do the stuff in the parentheses first and you get 4x+12x+28=16x+28 and they're the same so it's B.

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The area of a sector of a circle with a central angle of radians is . Find the radius of the circle. Do not round any intermedia
Savatey [412]

Answer:

<h3>3.5ft</h3>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the complete question in the diagram attached.

Area of a sector = θ/360 * πr² where;

r is the radius

θ is the angle substended by the sector

Given parameters

Area of the sector = 9ft²

central angle θ = 1.5 radians

Since  1 radians = 57.2958°

1.5 radians = (1.5 * 57.2958)

1.5 rad = 85.9437°

Substituting the given values into the formula;

Area of a sector = θ/360 * πr²

9 = 85.9437/360 * (3.14)r²

9 = 0.2387325 * 3.14r²

9 = 0.74962005r²

r² = 9/0.74962005

r² = 12.00608

r = √12.00608

r = 3.4641

r = 3.5 ft (to the nearest tenth)

Hence the radius of the circle is 3.5ft

8 0
3 years ago
Miss Connor asks her class to guess her mystery number she tells him this number has two digits is a prime less than 20 and a fa
babymother [125]
You are to follow the clues. Since is is 2 digits and is prime, go through the prime numbers between 10 and 20. They are 11, 13, 17, and 19. Then you find the factors of 34 which are 1×34 2x17. That leaves only 1 possible answer: 17
7 0
3 years ago
The table below shows four systems of equations:
fredd [130]
<span>System 1 and system 2, because the second equation in system 2 is obtained by adding the first equation in system 1 to two times the second equation in system 1

This is the correct answer because not only is it true but it also follows the property of solving systems of equations with adding the equations. To prove that it is true:

2nd equation in system #2 = 1st equation in system #1 + 2(2nd equation in system #1)

 </span>10x − 7y = 18 == 4x − 5y = 2 + 2(<span>3x − y = 8)
10x - 7y = 18 == 4x - 5y = 2 + 6x - 2y = 16
10x = 7y = 18 == 10x - 7y = 18</span>
5 0
3 years ago
Find the term indecent of x in the expansion of (x^2-1/x)^6
Mars2501 [29]

By the binomial theorem,

\displaystyle \left(x^2-\frac1x\right)^6 = \sum_{k=0}^6 \binom 6k (x^2)^{6-k} \left(-\frac1x\right)^k = \sum_{k=0}^6 \binom 6k (-1)^k x^{12-3k}

I assume you meant to say "independent", not "indecent", meaning we're looking for the constant term in the expansion. This happens for k such that

12 - 3k = 0   ===>   3k = 12   ===>   k = 4

which corresponds to the constant coefficient

\dbinom 64 (-1)^4 = \dfrac{6!}{4!(6-4)!} = \boxed{15}

3 0
3 years ago
Which three lengths CANNOT be the lengths of the sides of a triangle? A. 23 m, 17 m, 14 m B. 11 m, 11 m, 12 m C. 5 m, 7 m, 8 m D
Mariulka [41]
D. 21cm because you divide all sides by 2 then get your slope form and multiply by seven
7 0
3 years ago
Read 2 more answers
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