Decreasing in quantity according to the law is the definition of exponential decay. but what are the choices you can chose from?
x=-2
y=2
_________
Step-by-step explanation:
get the upper x on the opposite side or to be with y
5x+y=-8 / *(-7)
2x+7y=10
__________
-35+2x=56+10
2x+7y=10
__________
-33x=66 x=-2
-4+7y=10
y=2
Answer:
10
Step-by-step explanation:
these are small bags (just as comment), so in real life the cost of using bags would add significantly to the price of the apples.
anyway, so we need to find how many units of 3/5 pounds do we need to get 6 pounds ?
3/5 × x = 6
3 × x = 30
x = 10
she buys 10 bags to get 6 pounds.
Answer:
8 and 12
Step-by-step explanation:
The perimeter of the given rectangle is ...
P = 2(L +W)
P = 2(14 +21) = 2(35) = 70
The scale factor to the similar triangle is ...
similar perimeter/original perimeter = 40/70 = 4/7
__
The dimensions of the similar triangle are the original triangle dimensions multiplied by this scale factor:
(14)(4/7) = 8
(21)(4/7) = 12
The sides of the similar triangle are 8 and 12.
Answer:
see explanation
Step-by-step explanation:
I will begin with part two, first.
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
Given
x² - 18x + y² - 10y = - 6
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 9)x + 81 + y² + 2(- 5)y + 25 = - 6 + 81 + 25, that is
(x - 9)² + (y - 5)² = 100 ← in standard form
with centre = (9, 5 ) and r = = 10