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Sphinxa [80]
3 years ago
14

A 21-inch rope is to be cut into two pleces so that one piece is 8 inches longer than twice the other. How long is each piece, i

f a=2, b= 8, and I=21
smaller plece
in
larger plece
Mathematics
1 answer:
Serhud [2]3 years ago
8 0

Answer:

4 1/3 inches   Smaller piece

16 2/3 inches   Larger piece

Step-by-step explanation:

x + (2x + 8) = 21

3x + 8 = 21

3x = 13

x = 13/3

x = 4 1/3 inches   Smaller piece

2x + 8 = 8 2/3 + 8

2x + 8 = 16 2/3 inches   Larger piece

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Find the equation of the line passing through the point (2,−4) that is parallel to the line y=3x+2
seraphim [82]

Answer:

The equation of the line would be y = 3x - 10

Step-by-step explanation:

To find the equation we first need to note that parallel lines have the same slope. So since the original equation has a slope of 3, the new one will as well. Now we can use that slope and the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y + 4 = 3(x - 2)

y + 4 = 3x - 6

y = 3x - 10

3 0
3 years ago
Number 13 I don’t get it
Nina [5.8K]
<h3>Answer:  1/2  (choice A)</h3>

===========================================

Explanation:

The two equations given to us are

  • ab = 3
  • ab^2 = 18

Divide the second equation over the first equation and that would lead to b = 6

Notice how the 'a' terms divide to 1 and go away, i.e. cancel out.

The b terms divide to (b^2)/b = b

The right hand side values divide to 18/3 = 6

So that's how we end up with b = 6

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

Now if b = 6, then we can say,

ab = 3

a*6 = 3

a = 3/6

a = 1/2

Or we could say

ab^2 = 18

a*6^2 = 18

a*36 = 18

a = 18/36

a = 1/2

5 0
3 years ago
If I had 169 apples and I give away 139 apples to my friends how many would I had?
iris [78.8K]
169-139=30
...............
3 0
2 years ago
Read 2 more answers
What is the area of the triangle? 5 4 3 units?​
tankabanditka [31]

Answer:

6 units squared

Step-by-step explanation:

Formula:

area = 0.25 * √( (a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c) )

Assign variables:

A = 5, B = 4, C = 3.

Distribute:

area = 0.25 * √( (5 + 4 + 3) * (-5 + 4 + 3) * (5 - 4 + 3) * (5 + 4 - 3) )

Combine like terms

area = 0.25 * √( (12) * (2) * (4) * (6) )

Multiply:

area = 0.25 * √(576)

Square root:

area = 0.25 * 24

Multiply:

area = 6 units squared

4 0
2 years ago
I don’t understand this. Help me please!
Sloan [31]

Answer:

2

Step-by-step explanation:

So the midpoint of AB can be calculated by finding the length of AB, dividing it by 2 and then adding it to A. So the length of AB is equal to B-A or in general the difference between two values is |a-b| where the order doesn't matter, but assuming B is the right side (meaning it should be greater than A) the length should be B-A. in this case A = -5 and B = 3 so the length is 3 - (-5) = 8. The length is 8 so the midpoint is half of that which is 4, now adding 4 to the left side (A) you get -5 + 4 = -1. So the midpoint of AB lies at -1. Now the midpoint of AC can be found using the same process. 7 - (-5) = 12 => 12/2 = 6 => -5 + 6 = 1 so the midpoint of AC is at 1. Now to find how many units from the midpoint AB to AC you just subtract the midpoint of AB from AC. this gives you 1 - (-1) which is 2.

4 0
1 year ago
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