Answer:
61
Step-by-step explanation:
Let's find the points
and
.
We know that the
-coordinates of both are
.
So let's first solve:

Subtract 3 on both sides:

Simplify:

I'm going to use the quadratic formula,
, to solve.
We must first compare to the quadratic equation,
.






Since the distance between the points
and
is horizontal. We know this because they share the same
.This means we just need to find the positive difference between the
-values we found for the points of
and
.
So that is, the distance between
and
is:




If we compare this to
, we should see that:
.
So
.
First let's make the denominators equal, so that we can compare the two fractions more easily.
To do this, we have to find a number that both 15 and 9 divide into. The smallest number that this can happen to is 45.
15 x 3 = 45
9 x 5 = 45
So we have to multiply 15 by 3 in order to make it into 45. If we're changing the denominator, the numerator must change too, by the same multiplier.
4 ---> 4 x 3 = 12
--
15 ---> 15 x 3 = 45
4/15 = 12/45
5 ---> 5 x 5 = 25
--
9 ---> 9 x 5 = 45
5/9 = 25/45
To find how many times more rings there are, we divide 25 by 12. As the result of this isn't an integer, we leave the answer as a fraction:
There rings inventory is 25/12 times bigger than the earrings inventory.
Answer:
(i) number of student passed in math is 60
(ii) number of student passed in science is 70
only math is 10
and only science is 20
We know, Length of Image = Length of Object * Dilation factor,
Just substitute your known values,
Length of Image = 9 * 2 = 18
In short, Your Answer would be 18 cm
Hope this helps!