The correct answer is d that is because if it is 1 onch per 15 miles then do 11x15 and you get 165 c and d are the only 2 close enough to be it but from there you can cancel c because its 11.3 which means it must be more than 165. and d is the only one that is greater then 165
Answer:
c< 7
Step-by-step explanation:
the product of c and 7 is less than 49
Product means multiply
7c< 49
Divide each side by 7
7c/7 < 49/7
c< 7
Answer:
y = (-1/19)(x - 8)² + 1521/76
Step-by-step explanation:
A parabola moves in such a way that it's distance from it's focus and directrix are always equal.
Now, we are given that directrix is y = 9.75 and focus is at (8, 0.25). Focus can be rewritten as (8, ¼) and directrix can be rewritten as y = 39/4
If we consider a point with the coordinates (x, y), it means the distance from this point to the focus is;
√((x - 8)² + (y - ¼)²)
Distance from that point to the directrix is; (y - 39/4)
Thus;
√((x - 8)² + (y - ¼)²) = (y - 39/4)
Taking the square of both sides gives;
((x - 8)² + (y - ¼)²) = (y - 39/4)²
(x - 8)² + y² - ½y + 1/16 = y² - (39/2)y + (39/4)²
Simplifying this gives;
(x - 8)² - (39/4)² = (½ - 39/2)y
(x - 8)² - 1521/4 = -19y
(x - 8)² - 1521/4 = -19y
Divide both sides by -19 to get;
y = (-1/19)(x - 8)² + 1521/76
Answer:
Ned and Penny
Step-by-step explanation:
Ned: ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
Penny:
--> simplying it makes it ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
Hence, Ned and Penny ate the same amount of pizza.
Answer:
length = 18 mt
Width = 10 mt
Step-by-step explanation:
Let the length of the field be x
width of the field be y
Hence
P=2(x+y)
P=56 (given)
56=2(x+y)
Dividing both sides by 2 we get
x+y=28 ---(A)
Also given that width of the parallelogram is 8 meters less than its length
Hence
y=x-8
or x-y=8 ---(B)
Adding A and B
2x=36
x=18
y=x-8
y=18-8=10
Hence length = 18 mt
Width = 10 mt