Answer:
8 and - 2
Step-by-step explanation:
let x be the larger number and y the smaller , then
x = 5y + 18 → (1)
3x + 4y = 16 → (2)
substitute x = 5y + 18 into (2)
3(5y + 18) + 4y = 16 ← distribute parenthesis and simplify left side
15y + 54 + 4y = 16
19y + 54 = 16 ( subtract 54 from both sides )
19y = - 38 ( divide both sides by - 19 )
y = - 2
substitute y = - 2 into (1)
x = 5(- 2) + 18 = - 10 + 18 = 8
then larger number is 8 and smaller is - 2
A = √(15²-9²) = √(225-81) = √144 = 12
9514 1404 393
Answer:
7 square units
Step-by-step explanation:
There are several ways the area of triangle EBD can be found.
- find the lengths EB, BD, DE and use Heron's formula (messy due to roots of roots being involved).
- define point G at the lower left corner and subtract the areas of ∆DEG and BCD from trapezoid BCGE.
- figure the area from the coordinates of the vertices.
- use Pick's theorem and count the dots.
We choose the latter.
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Pick's theorem says the area of a polygon can be found as ...
A = i + b/2 -1
where i is the number of grid intersection points interior to the polygon, b is the number of grid points intersected by the border.
The attached figure shows the lines EB, BD, and DE intersect one point in addition to the vertices. So, b=4. A count of the red dots reveals 6 interior points (i=6). So, the area is ...
A = 6 + (4/2) -1 = 7
The area of ∆EBD is 7 square units.
The easiest way to think about this is to give all of the numbers common denominators:
1 can be written as 6/6
0 can be written as 0/6
Now we can see that 5/6 is only 1/6 away from 1, while it is 5/6 away from 0.
So, 5/6 is closer to 1!
Answer: 118
Step-by-step explanation: if x=4 then 4x3 to the 2nd power= 144. 13x2=26
144-26=118