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monitta
2 years ago
14

A triangle has a base of 6 yards and a height of 9 yards. By how much does the height need to decrease for the area to decrease

by 10.5 square yards?
Mathematics
1 answer:
ELEN [110]2 years ago
3 0
3.5 yards


Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out
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When factored completely, the expression 3x2 - 9x + 6 is equivalent to
Lunna [17]
Let's see what the options look like when we multiply the expressions in brackets:

(first, i multiply both parts of the second bracked by the first part of the first bracket, and then the same with the second part of the first bracket:
<span>(1) (3x - 3)(x - 2))

3x2 +6x -3x +6// this is not correct

(2) (3x + 3)(x - 2) </span>


3x2-6x+3x-6//this is not correct

(3)

3(x + 1)(x - 2)
3(x2-2x+x-2)//simplifying:
3(x2-x-2)//multiplying:
3x2-3x-6)
- so this is not correct either
(4) 3(x - 1)(x - 2)
3(x2-2x - x + 2)
3(x2-3x +2)
3x2-9x +6 - well, here is our winner!






8 0
3 years ago
Read 2 more answers
2 to the -6 power in expotional form and simplified in fractions
IceJOKER [234]

Answer:

1/64

Step-by-step explanation:

2 ^{ - 6}

1 \div 2 ^{6}

1 \div 64

4 0
2 years ago
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The sum of the squares of three consecutive integers is 509. Determine the integers.
GalinKa [24]

Answer:

12, 13, 14

Step-by-step explanation:

Denote the integers as:

x

x+1

x+2

The sum of their squares, so that would be;

(x^(2)) + (( x + 1 )^(2)) + (( x + 2 )^(2)) = 509

write out the squares

x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 509

combine like terms

3x^2 + 6x + 5 = 509

inverse operations

3x^2 + 6x + 5 = 509

                -5     -5

3x^2 + 6x = 504

factor

3x^2 + 6x = 504

3 ( x^2 + 2x ) =504

Inverse operations

3 ( x^2 + 2x ) = 504

/3                       /3

x^2 + 2x = 168

Factor again

x ( x + 2 ) = 168

At this point, it should be obvious that x is 12 (because 12 * 14 = 168)

So now substitute back into the consecutive numbers

x = 12

x + 1 = 13

x + 2 = 14

6 0
3 years ago
What is the slope of the line passing through points A and B?
masya89 [10]

Answer: 2/4 simplified to 1/2

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
 14
tatyana61 [14]
We can display the information given as an equation:
2000 * r^{19} = 4000; r = increase per annum
Now, we rearrange and solve for r:
r^{19} = 2
r = \sqrt[19]{2} = 1.037.....
We can now work out the increase for 5 years like so:
2000 * r^{5} = 2400.205..... ⇒ $2400
4 0
3 years ago
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