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3 years ago

Ac is a line segment and b is the midpoint of line segment ac

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

5 0

Answer:

Step-by-step explanation:

As B is the mid point, the length of AB = BC

5x - 3 = 2x + 9

3x = 12

x = 4

AC = 2(5(4) - 3) = 2(17)

AC = 34

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The sum of the digits of a two-digit number is 12. The number formed by interchanging the digits is 54 more than the original nu

-BARSIC- [3]

Let X and Y be the digits.
If a two-digit number is written XY, then its value is 10x+y.
When the digits of the number are interchanged, it's YX, and its value is 10y+x.

The sum of the digits is 12.
The number formed by interchaning the digits is 54 more than the original number.

$x+y=12 \\
10x+y+54=10y+x \\ \\
x+y=12 \\
10x-x+y-10y=-54 \\ \\
x+y=12 \\
9x-9y=-54 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\div 9 \\ \\
x+y=12 \\
\underline{x-y=-6} \\
x+x=12-6 \\
2x=6 \\
x=\frac{6}{2} \\
x=3 \\ \\
x+y=12 \\
3+y=12 \\
y=12-3 \\
y=9$

The digits X and Y are 3 and 9, so the original number is 39.

8 0

3 years ago

If you drove 60 miles in two hours, how many miles per hour did you drive? 30 miles per hour

soldi70 [24.7K]

Answer:

30 mph

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

5. The recursive algorithm given below can be used to compute gcd(a, b) where a and b are non-negative integer, not both zero.

s2008m [1.1K]

Implementating the given algorithm in python 3, the greatest common divisors of (124 and 244) and (4424 and 2111) are 4 and 1 respectively.

The program implementation is given below and the output of the sample run is attached.

def gcd(a, b):

#initialize a function named gcd which takes in two parameters

if a>b:

#checks if a is greater than b

return gcd (b, a)

#if true interchange the Parameters and Recall the function

elif a == 0:

return b

elif a == 1:

return 1

elif((a%2 == 0)and(b%2==0)):

#even numbers leave no remainder when divided by 2, checks if a and b are even

return 2 * gcd(a/2, b/2)

elif((a%2 !=0) and (b%2==0)):

#checks if a is odd and B is even

return gcd(a, b/2)

else :

return gcd(a, b-a)

#since it's a recursive function, it recalls the function with new parameters until a certain condition is satisfied

print(gcd(124, 244))

print()

#leaves a space after the first output

print(gcd(4424, 2111))

Learn more :brainly.com/question/25506437

6 0

3 years ago

Solve for 7/2x+7/9x=−17+2/56

kati45 [8]

Answer:

7/2x+7/9x-(-17+25/6)=0

4 0

3 years ago

Y=-2(×-3)(x-2) to standard form (show work)

damaskus [11]

Answer:

y=-2x^2+10x-12

Step-by-step explanation:

graph is shown in image below

4 0

3 years ago