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VikaD [51]
3 years ago
10

Explain how to solve a division problem with an divisor?

Mathematics
1 answer:
Tpy6a [65]3 years ago
4 0
Multiply or divide the starting elements of a division problem (Divided and Divisor) by the same number, the quotient doesn't change. In other words, the answer is the same, and the remainder is multiplied or divided by that same number.

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Find the area of the region bounded by the line y=3x-6 and line y=-2x+8.
Vikentia [17]

Answer:

A = 12/5 units

Step-by-step explanation:

USING ALGEBRA:

We can find the intersection point between these two lines;

y = 3x - 6

y = -2x + 8

Set these two equations equal to each other.

3x - 6 = -2x + 8

Add 2x to both sides of the equation.

5x - 6 = 8

Add 6 to both sides of the equation.

5x = 14

Divide both sides of the equation by 5.

x = 14/5  

Find the y-value where these points intersect by plugging this x-value back into either equation.

y = 3(14/5) - 6

Multiply and simplify.

y = 42/5 - 6

Multiply 6 by (5/5) to get common denominators.

y = 42/5 - 30/5  

Subtract and simplify.

y = 12/5

These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.

Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.

Set both equations equal to 0.

(I) 0 = 3x - 6  

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2  

Set the second equation equal to 0.

(II) 0 = -2x + 8

Add 2x to both sides of the equation.

2x = 8

Divide both sides of the equation by 2.

x = 4

The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.

The height of the triangle is 12/5 units.

Formula for the Area of a Triangle:

A = 1/2bh

Substitute 2 for b and 14/5 for h.

A = (1/2) · (2) · (12/5)

Multiply and simplify.

A = 12/5

The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

3 0
2 years ago
In a class 30 of students, 19 play an instrument and 10 play a sport. There are 8
baherus [9]

Answer:

1/30

Step-by-step explanation: There are 30 students 19 play instr, 10 play spor,

8 who do both. Their is one student that was left out so the answer is 1/30

8 0
3 years ago
What is the midpoint of -5,2 and 1,5
ANEK [815]

Answer:(-2,3.5)

Step-by-step explanation: Add the endpoints and divide by two for the x-values and the y-values

4 0
3 years ago
What is the constant proportionality for 3 and 9
Olegator [25]
The answer is 27. because 9 times 3 =27 and 3 times 9 = 27. so they are both constant of proportionality.
5 0
3 years ago
Simplify 20sinøsecø <br><br><br> 20 tan ø<br> 20 <br> 20 Cot ø <br> 20 cos ø
madam [21]
20 cos シ is your answer



Step-by-step explaination
6 0
3 years ago
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