X^2-11x+28=0
(x-7)(x-4)=0
x-7=0
x=7
x-4=0
x=4
Answer:
5676.16 cm^3
Step-by-step explanation:
The volume of any prism is given by the formula ...
V = Bh
where B is the area of one of the parallel bases and h is the perpendicular distance between them. Here, the base is a triangle, so its area will be ...
B = 1/2·bh
where the b and h in this formula are the base and height of the triangle, 28 cm and 22.4 cm.
Then the volume is ...
V = (1/2·(28 cm)(22.4 cm))·(18.1 cm) = 5676.16 cm^3
_____
You will note that this is half the product of the three dimensions, so is half the volume of a cuboid with those dimensions. Perhaps you can see that if you took another such prism and placed the faces having the largest area against each other, you would have a cuboid of the dimensions shown.
No because y=5 is a horizontal line on a graph, in this scenario the x-values would stay the same
Answer:
apple = 4
blackberry =5
Step-by-step explanation:
Let a = apple pie cost
b =blackberry pie cost
4a +9b = 61
7a +6b = 58
Multiply the first equation by 7
7(4a +9b) = 61*7
28a +63b = 427
Multiply the second equation by -4
-4(7a +6b) = 58*-4
-28a -24b = -232
Add these two new equations together to eliminate a
28a +63b = 427
-28a -24b = -232
-----------------------------
0a +39b =195
Divide each side by 39
39b/39 = 195/39
b= 5
Now we need to find a
4a +9b = 61
4a +9(5) = 61
4a +45 = 61
4a+45-45 =61-45
4a = 26
Divide by 4
4a/4 =16/4
a = 4
