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Vsevolod [243]
3 years ago
15

I don't understand this question, picture attached.

Mathematics
1 answer:
mina [271]3 years ago
5 0

We can find this using the formula for arc length (where r is the radius of the circle and \theta is the central angle in radians):

\textrm{Arc Length} = r\theta


In our problem, we are given 12 = 8\theta. This means that:

\theta = \dfrac{12}{8} = \boxed{\frac{3}{2}}


The measure of the angle is 1.5.

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For f(x)=√(2x+1) , find the following:
Wittaler [7]

Part a.

The domain is the set of x values such that x \ge -\frac{1}{2}, basically x can be equal to -1/2 or it can be larger than -1/2. To get this answer, you solve 2x+1 \ge 0 for x (subtract 1 from both sides; then divide both sides by 2). I set 2x+1 larger or equal to 0 because we want to avoid the stuff under the square root to be negative.

If you want the domain in interval notation, then it would be \Big[ -\frac{1}{2} , \infty \Big) which means the interval starts at -1/2 (including -1/2) and then it stops at infinity. So technically it never stops and goes on forever to the right.

-----------------------

Part b.

I'm going to use "sqrt" as shorthand for "square root"

f(x) = sqrt(2x+1)

f(10) = sqrt(2*10+1) ... every x replaced by 10

f(10) = sqrt(20+1)

f(10) = sqrt(21)

f(10) = 4.58257569 which is approximate

-----------------------

Part c.

f(x) = sqrt(2x+1)

f(x) = sqrt(2(x)+1)

f(x+2a) = sqrt(2(x+2a)+1) ... every x replaced by (x+2a)

f(x+2a) = sqrt(2x+4a+1) .... distribute

we can't simplify any further

6 0
3 years ago
2. JI. has coordinates J(-6, 1) and Z(-4, 3). Find the coordinates of the midpoint.​
AleksandrR [38]

Answer:

(- 5, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( \frac{x_{1}+x_{2}  }{2}, \frac{y_{1}+y_{2}  }{2} )

Here (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (- 4, 3) thus

midpoint = \frac{-6-4}{2}, \frac{1+3}{2} ) = ( \frac{-10}{2}, \frac{4}{2} ) = (- 5, 2 )

7 0
3 years ago
Which inequality is a true statement?
nordsb [41]

Answer It's A, B, C, and F. Or 1, 2, 3, 5

Step-by-step explanation:

To have a true Inequality there has to be a relation between the 2 sides, meaning there is a greater than or less that sign.

7 0
3 years ago
A bag contains 5 red marbles 3 green marbles 2 purple marbles 2 orange marbles and 1 blue marble which color is less likely to b
vichka [17]

Answer:

blue

Step-by-step explanation:

Its blue because if purple has 2 and blue has 1 then its blue which you are most likely to pick purple then blue

3 0
3 years ago
Read 2 more answers
How do you solve 2/7m -1/7 = 3/14
Mars2501 [29]

the only thing you need to do is separate m:

2/7m= 3/14 + 1/7

2/7m= 5/14

m= (5/14)/(2/7)

m= 5/14 × 7/2

m= 35/28

m= 5/4

4 0
2 years ago
Read 2 more answers
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