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LuckyWell [14K]
2 years ago
5

I would really appreciate anyone who can answer this, Thanks!

Mathematics
1 answer:
gregori [183]2 years ago
8 0

Answer:

JM

Step-by-step explanation:

A tangent line is a line that only intersects a circle at one point.

LG and CJ are not lines, and GH intersects the circle twice (at point G and point H), so JM is the tangent line.

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Solve for b <br>r=x (a+b)
Delvig [45]
R=xa+xb, r-xa=xb, b=r-xa/x
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Answer p l e a s e ! !
sergiy2304 [10]

Answer:

3 = y

Step-by-step explanation:

24 + 4y = 12y

- 4y - 4y

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\frac{24}{8} = \frac{8y}{8} \\ \\ 3 = y

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Fifteen students are going hiking on their spring break. They plan to travel in three vehicles—one seating 7, one seating 5, and
andriy [413]

Answer:

The students can group themselves in 360360 ways

Step-by-step explanation:

For this exercise we need to use the following equation:

\frac{n!}{n1!*n2!*...*nk!}

This equation give us the number of assignation of n elements in k cell, where n1, n2, ..nk are the element that are in every cell

In this case we have 15 student that need to be assign in three vehicles with an specific capacity. This vehicles would be the equivalent to cells, so we can write the equation as:

  \frac{15!}{7!*5!*3!}

Because the first vehicle have 7 seating, the second vehicle have 5 seating and the third vehicle have 3 seating.

Solving the equation we get 360360 ways to organized 15 students in three vehicles with capacity of 7, 5  and 3 seating.

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2 years ago
Match the fractions that are equivalent to each other?
MrRissso [65]

Answer:

1&a 2&b 3&c 4&d

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
The graph shows the functions f(x), p(x), and g(x): Graph of function g of x is y is equal to 1 plus the quantity 1.5 raised to
satela [25.4K]
Part A:

Given that the <span>straight line p(x) joins the ordered pairs (0, 2) and (1, -5), thus the equation of the line joining ordered pairs (0, 2) and (1, -5) is given by

\frac{y-2}{x} = \frac{-5-2}{1} =-7 \\  \\ \Rightarrow y-2=-7x \\  \\ \Rightarrow y=-7x+2

Thus, p(x) = -7x + 2

</span>Given that the <span>straight line f(x) joins the ordered pairs (4, 1) and (2, -3), thus the equation of the line joining ordered pairs (4, 1) and (2, -3) is given by

\frac{y-1}{x-4} = \frac{-3-1}{2-4} =\frac{-4}{-2}=2 \\  \\ \Rightarrow y-1=2(x-4)=2x-8 \\  \\ \Rightarrow y=2x-7

Thus, f(x) = 2x - 7
</span>
The solution to the pair of equations represented by p(x) and f(x) is given by

p(x) = f(x)
⇒ -7x + 2 = 2x - 7
⇒ -7x - 2x = -7 - 2
⇒ -9x = -9
⇒ x = -9 / -9 = 1

Substituting for x into p(x), we have

p(1) = -7(1) + 2 = -7 + 2 = -5

Therefore, the solution to the pair of equations represented by p(x) and f(x) is  (1, -5)



Part B:

From part A, we have that f(x) = 2x - 7

when x = -8

f(-8) = 2(-8) - 7 = -23

Thus, (-8, -23) is a solution to f(x).

When x = -10

f(-10) = 2(-10) - 7 = -27

Thus, (-10, -27) is a solution to f(x).

Therefore, two solutions of f(x) are (-8, -23) and (-10, -27).



Part C:

From part A, we have that p(x) = -7x + 2, given that g(x) = 1 + 1.5^x

From the graphs of p(x) and g(x), we can see that the two graphs intersected at the point (0, 2).

Therefore, the solution to the equation p(x) = g(x) is (0, 2).

3 0
3 years ago
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