All categories

3 years ago

If Sarah is 24 years younger than her mother and if the sum of their ages is 68, how old is Sarah?

Mathematics

1 answer:

irina [24]3 years ago

4 0

Use subtraction the answer is 44

You might be interested in

) Find the coordinates of the point A' which is the symmetric point

soldier1979 [14.2K]

Let, coordinate of point A' is (x,y).

Since, A' is the symmetric point A(3, 2) with respect to the line 2x + y - 12 = 0.

So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.

Now, their center is given by :

$C( \dfrac{x+3}{2}, \dfrac{y+2}{2})$

Also, product of slope will be -1 .( Since, they are parallel )

$\dfrac{y-2}{x-3} \times -2 = -1\\\\2y - 4 = x - 3\\\\2y - x = 1$

x = 2y - 1

So, $C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})$

Also, C satisfy given line :

$2\times ( \dfrac{2y + 2}{2}) + \dfrac{y+2}{2} = 12\\\\4y + 4 + y + 2 = 24\\\\5y = 18\\\\y = \dfrac{18}{5}$

Also,

$x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}$

Therefore, the symmetric points is $A'(\dfrac{31}{5}, \dfrac{18}{5})$ .

7 0

3 years ago

Which geographic feature was common to the development of civilizations in ancient Egypt, China, India, and Mesopotamia?

storchak [24]

The answer is probably D

5 0

3 years ago

What is the perimeter of Justin's garden in inches? I can't find the right answer 6 yards and 8 yards its a rectangle garden pls

madreJ [45]

Answer:

28 yards

Step-by-step explanation:

It's perimeter so you add (6x2)+(8x2)

The x2 is because there's 2 of each side

3 0

3 years ago

Combine like terms. 3y+6+2y-3-6y^2+7y^2-4

Anna35 [415]

Y^2+5y+10
To 2 Squared go together the regular y go together and then normal go together

8 0

3 years ago

Which calculations perform on the calculator will yelled in answer that is approximately the same as 76 ÷ 19/25? Check all that

Zinaida [17]

first：76 ÷ 19/25=100

a:80 / 20 * 1 / 25 =0.16

b:80 * 5/4 =100

c:80 / 5 ÷ 1 / 4 =64

d:80 * 5/4 =100

e:80 * 4/5 =64

So I think both B and D should be the right answer

6 0

3 years ago