Y=3x-10 and 3x+2y=16
y=3x-10
subsitute 3x-10 for y in other equation
3x+2y=16
3x+2(3x-10)=16
distribute
3x+6x-20=16
9x-20=16
add 20 both sides
9x=36
divide both sides by 9
x=4
sub back
y=3x-10
y=3(4)-10
y=12-10
y=2
x=4
y=2
(4,2) is soluiton
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.
__
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.
Answer:
x positive, y negative
Step-by-step explanation:
-60 is the 4th quadrant of the unit circle ( negative angles go clockwise from 0), so the x value is positive and the y value is negative.
The answer is 10.5 pounds. No there is no other solutions.
24 divided by 1/4 = 6 lbs
24 divided by 1/8 = 3 lbs
24 divided by 1/16 = 1.5 lbs
6+3+1.5= 10.5 lbs of food
Answer:
Yurrrrrrrrrrrrrrrrrrrrrrr
Step-by-step explanation:
Who got the answer to the homework