Answer:
Part 1) The length of the new rectangle is 
Part 2) The area of the new rectangle is 
Step-by-step explanation:
we know that
If two rectangles are similar, then the ratio of its corresponding sides is proportional
step 1
Find the length of the new rectangle
Let
L-----> the length of the new rectangle
step 2
Find the area of the new rectangle
we know that
The area of the rectangle is
we have
substitute
Since the sum of two numbers is 67
and one number is p
so the other number is (67-p)
Answer:
See below.
Step-by-step explanation:
1/2 = shrink by a factor of 1/2.
+7 = moved up 7 units.
Area for circle is πr² so πr² =28.26 and we can sub 3.14 as pi
3.14*r²=28.26 we can divide by 3.14 to get r² on it's own
r²=28.26/3.14
then we root both sides to get r on it's own
28.26/3.14=9 √9=3
and the diameter is double the radius 3*2=6 so the diameter is 6
Answer:
x = 1/20 y^2
Step-by-step explanation:
This is a rightward opening (sideways ) parabola
Directrix = x = -5
Distance formula form point x,y to directrix and focus are equal:
(x - -5)^2 = (x-5)^2 + y^2
x^2 + 10x + 25 = x^2 - 10x + 25 + y^2
20x = y^2
x = 1/20 y^2
