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masha68 [24]
3 years ago
5

Is (4,-5), (0,-5), (11,30), (17,10) a function

Mathematics
1 answer:
Ratling [72]3 years ago
4 0

Answer:

Yes, it is a function

Step-by-step explanation:

A function is a set of ordered pairs where there is no two of the same domain. The domain is the first coordinate which is x. In this case, the x coordinates are 4, 0, 11, 17. There is no two of the same domain so this is a function.

Hope This Helps :)

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In circle o, the length of radius OL is 6 cm and the length
AlekseyPX

Answer:

14.2cm

Step-by-step explanation:

The diagram representing the circle and its attributes has been attached to this response.

<em>As shown in the diagram;</em>

The circle is centered at o,

The length of radius OL = 6cm

The length of the arc LM = 6.3cm

The angle MON = 75°

The angle LOM = θ

<em>Remember that;</em>

The length, L, of an arc is given by;

L = (θ / 360) x (2πr)         -------------(i)

Where;

θ is the angle subtended by the arc

r = radius of the circle.

Using the formula in equation (i), let's calculate the angle θ subtended by arc LM as follows;

L = (θ / 360) x (2πr)  

Where;

L = length of arc LM = 6.3cm

r = radius of the circle = length of radius OL = 6cm

<em>Substitute these values into the equation to get;</em>

6.3 = (θ / 360) x (2 x π x 6)

6.3 = (θ / 360) x (12 x π)

6.3 = (θ / 30) x (π)              [Take π = 22/7]

6.3 = (θ / 30) x (22 / 7)

θ = \frac{6.3*30*7}{22}

θ = 60.14°

Therefore, the angle subtended by arc LM is 60.14°

Now, from the diagram,

The angle subtended by arc LMN is;

θ + 75° = 60.14° + 75° =  135.14°

Let's now calculate the length of arc LMN using the same equation (i)

L = (θ / 360) x (2πr)  

Where;

L = length of arc LMN

θ = angle subtended by LMN = 135.14°

r = radius of the circle = length of radius OL = 6cm

<em>Substitute these values into the equation;</em>

L = (135.14° / 360°) x (2 x π x 6)             [Take π = 22/7]

L = 14.15cm

Therefore, the length of arc LMN is 14.2cm to the nearest tenth.

6 0
3 years ago
What is the measure of DEF? Pls help me asap
Yakvenalex [24]

Step-by-step explanation:

3y +4 =5y -10

2y = 14

y = 7

DEF = (3Y+4)× 2 OR (5Y-10) ×2 OR (5Y-10+ 3Y+4)

Def= (3 ×7+4)×2

=50 degree

3 0
2 years ago
A carpenter lays 16 square feet of tile in 2/3 of an hour. How many square feet of tile does the carpenter lay per hour?
r-ruslan [8.4K]
I believe it's 24 tiles per hour.
3 0
3 years ago
Marty saved $200 this month. That is 50% of the money he earned mowing lawns. How much money did Marty earn mowing lawns? dollar
ladessa [460]

Answer:

400

Step-by-step explanation:

half of 400 is 200? i need more letterssss

8 0
3 years ago
The points (−3, r)  and (2, 1) lie on a line with slope −2 . Find the missing coordinate r .
SVETLANKA909090 [29]
We can use point slope form to solve for this.

y - 1 = -2(x - 2)
Simplify.
y - 1 = -2x + 4
Add 1 to both sides.
y = -2x + 5

Now, we can input -3 for x and solve for y, or r in this case.

y = -2(-3) + 5
y = 6 + 5
y = 11

r = 11
6 0
3 years ago
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