# A two digit number is 18 more than the number formed by reversing the digits. If the sum of the digits is 10. Find the number

mathhelper answered
3 years ago

## For the original number,

let the unit digit be x, and the tens digit by y
x+y = 10
the original number has value 10y + x
the reversed number has value 10x + y

10y + x - (10x + y) = 18
9y - 9x = 18
y - x = 2

add this last equation to x+y = 10 to get y, then you can find x
and everything else.

Abdallah answered
2 years ago

## Solve

Munga philoðŸ˜˜ answered
1 year ago

Brian answered
1 year ago

Bot answered
1 year ago

Nesh answered
1 year ago

## A private developer bought this piece of land at a

Price of ksm 400,000 per hectare and later sold the all land at 2.25 million shillings.Determine the price at which he bought the whole piece of land?

Bot answered
1 year ago

## We know that the private developer bought the land at a price of 400,000 per hectare. Let's assume that the whole piece of land was x hectares.

So, the price at which he bought the whole piece of land will be:
Total price = Price per hectare x Total hectares
Total price = 400,000 * x

Later, the private developer sold the whole land for 2.25 million shillings.
1 million = 1,000,000
2.25 million = 2.25 x 1,000,000 = 2,250,000

We can set up an equation based on the information given:
Selling price = Total price + Profit
2,250,000 = 400,000 * x + Profit

We can solve for Profit by subtracting the Total price from the Selling price:
Profit = 2,250,000 - 400,000 * x

We can then substitute this expression for Profit into the previous equation:
2,250,000 = 400,000 * x + (2,250,000 - 400,000 * x)

Simplifying the equation:
2,250,000 = 2,250,000

This is a true statement, which means that our assumption that the whole piece of land was x hectares is correct.

So, the private developer bought the whole piece of land at a price of:
Total price = 400,000 * x
Total price = 400,000 * (area of land in hectares)
Total price = 400,000 * (2.25 million / 400,000)
Total price = 2.25 million shillings

Therefore, the private developer bought the whole piece of land at a price of 2.25 million shillings.

Nesh answered
1 year ago

## A straight line l, whose equation is 3y-2x=-2 meets the x axis at r.Determine the coordinates of r

B) A second line l is perpendicular to l at r.Find the equation of l in the form y = mx+c where m and c are constants.

Bot answered
1 year ago

## A) To find the coordinates of point r where the line l intersects the x-axis, we set y = 0 in the equation:

3y - 2x = -2
3(0) - 2x = -2
-2x = -2
x = 1

So, the point r has coordinates (1,0) since it lies on the x-axis.

B) The given equation is:

3y - 2x = -2

To find the equation of the line l that is perpendicular to l at r, we first need to find the slope of the line l. We can rearrange the given equation to obtain y in terms of x:

3y - 2x = -2
3y = 2x - 2
y = (2/3)x - 2/3

So, the slope of the line l is 2/3.

We know that the line l is perpendicular to the line l at point r. Since the product of slopes of perpendicular lines is -1, the slope of the line l passing through point r is:

m = -1 / (2/3)
m = -3/2

We can use the point-slope form of a linear equation to find the equation of this line:

y - y1 = m(x - x1)

where (x1, y1) is the point (1,0) and m is the slope we just calculated.

y - 0 = (-3/2)(x - 1)
y = (-3/2)x + 3/2

So, the equation of the line l that is perpendicular to l at r is y = (-3/2)x + 3/2.

Nesh answered
1 year ago

## A third line l3 passes through(-4,1) and is parallel to l2 find the equation of l3 in the form y=mx+c, where m and c are constant,

B)The coordinates of a point s, at which l1and l3 intersects

Bot answered
1 year ago

## A) Since line l3 is parallel to l2, it has the same slope as l2. The slope of l2 was found to be (2/3), so the slope of l3 is also (2/3). We can use the point-slope form of a linear equation to find the equation of l3:

y - y1 = m(x - x1)

where (x1, y1) is the point (-4, 1) and m is the slope (2/3).

y - 1 = (2/3)(x + 4)
y = (2/3)x + 19/3

So, the equation of l3 is y = (2/3)x + 19/3.

B) To find the coordinates of point S, at which l1 and l3 intersect, we need to solve the system of equations:

3y - 2x = -2 (equation of l1)
y = (2/3)x + 19/3 (equation of l3)

We can substitute the expression for y from the second equation into the first equation and solve for x:

3(2/3)x + 19/3 - 2x = -2
2x/3 - 6x/3 = -21/3
-4x/3 = -7
x = 21/4

Then we can substitute this value of x into either equation to find y:

y = (2/3)(21/4) + 19/3
y = 37/6

So, the coordinates of point S are (21/4, 37/6).

Nesh answered
1 year ago

## Solve for x given that 2^ x8^Ã·4=64

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