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Arada [10]
3 years ago
7

Write an equation of a line that passes through the point (8,4) and is parallel to the line y = 4x + 2.

Mathematics
1 answer:
STALIN [3.7K]3 years ago
3 0

Answer:

y = 4x - 28

Step-by-step explanation:

4 = 4 (8) + b

b = -28

y = 4x - 28

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If a circle has a diameter of 44ft, what is the radius and circumference? Round to the nearest hundredth.
lara31 [8.8K]

Answer:

Radius: 22 Circumference: 138.23

Step-by-step explanation:

The radius is half of the diameter so 44/2 is 22.

The circumference can be found by 2*pi*r or pi*d.

2\pi22 or \pi 44

5 0
3 years ago
In how many ways can 6 competitors finish a race assuming there are no ties?In how many ways can we sit n people on r < n cha
VLD [36.1K]

Answer:  a) 720, b) ^nC_r=\dfrac{n!}{(n-r)!r!} c) 336, d) 30240 e) 120.

Step-by-step explanation:

Since we have given that

a) Number of competitors  = 6

We need to find the number of ways that 6 competitors can finish a race and there are no ties.

So, Number of ways would be

6!=720

b) number of people = n

Number of chairs = r (r<n)

so, the number of ways we can sit n people on r<n chairs is given by

^nC_r=\dfrac{n!}{(n-r)!r!}

c) If there are three awards :

Gold, silver, bronze.

We need to find the number of ways that these medals can be awarded.

Number of ways is given by

^8P_3\\\\=336

d) Number of 5-digit zip codes are possible is given by

^{10}P_5=30240

e) Number of poeple = 10

Number of people required in committee = 3

Number of different 3 person committee that are selected from 10 people is given by

^{10}C_3=120

Hence, a) 720, b) ^nC_r=\dfrac{n!}{(n-r)!r!} c) 336, d) 30240 e) 120.

6 0
3 years ago
Evaluate 3x-2y; if x=7 and y=3
Zarrin [17]

Answer:

15

Step-by-step explanation:

3x - 2y = ?

3(7) - 2(3) = ?

21 - 6 = ?

= 15

All you have to do is substitute the given values & follow the order of operations! Best of luck.

3 0
3 years ago
i have to make an expression that has a value of 10 out of the numbers 5,2,1,1 and the format it has to go in is like ( - )+( x
soldi70 [24.7K]

Answer:

(1-1)+(5×2)

hope this helps you

6 0
3 years ago
in a parking lot there are motocycles and cars. you count 98 wheels, and your friend counts 30 vehicles. how many cars are there
jarptica [38.1K]
There are 22 card and 8 motorcycles
6 0
3 years ago
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