Answer:
The points that are exactly 10 units from the point (–8, –2) are (2, –2) and (–8, 8).
Step-by-step explanation:
The distance formula is;
d= 
So for distance between: (–8, –2) and (2, –2) is:
d= 
d= 
d= 10 unit
Similarly for distance between: (–8, –2) and (–8, 8) is,
d= 
d=
d= 10 unit
Let C be Clowns R Fun charge for b balloons and S be Singing Balloons charge.
C=6+1.25b and S=2+1.95b. C must be less than S.
6+1.25b<2+1.95b, 4<0.7b, b>4/0.7, b>40/7, b>5. So Mrs Travis needs to purchase more than 5 balloons.
Answer:
c) The equation to find the price of each shrub is $53.50 = 4 p + $17.50
The cost of 1 shrub = p = $ 9.00
Step-by-step explanation:
The total number of shrubs purchased = 4
The price paid for potting soil = $17.50
The total bill of purchase = $53.50
Let us assume the cost of 1 shrub = $p
The total amount spent of 4 shrubs = 4 x ( The price of each shrub) = 4 p
TOTAL BILL = The amount paid for 4 shrubs + AMOUNT paid for SOIL
⇒ $53.50 = 4 p + $17.50
Now. solving for p, we get:
53.50 - 17.50 = 4 p
or, 3 6 = 4 p
or, p = 36/4 = 9
or, p = 9
Hence, the cost of each shrub = $9
Answer:
L 41/3 14 [200] G
Step-by-step explanation:
The tangent to 
at the point (0, 5) has a slope equal to the derivative evaluated at 
.
This tangent passes through the point (0, 5), so its equation is
The normal line passes through the same point, but is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent. So the equation for the normal line is
