Area of parallelogram = width x height
Area of parallelogram = 3.1 x 3.5
Area of parallelogram = 10.85 unit²
There's not much math work here, they just want you to eyeball the graph and give the closest grid point to where the two lines meet.
Let's translate the question.
Solution to the system
That's the x and y values where the two lines cross. That's because the meeting point is the value of x and y that satisfies both equations.
Approximation ... to the nearest integer values
Where two integer grid lines cross is called a lattice point. It's a point with integer coordinates. Our solution, the meet of these two lines, doesn't fall exactly on a lattice point. The nearest integer values means the closest lattice point to our intersection of lines.
Eyeballing the graph, I'd say (x,y)=(2,3) is the closest point.
Answer: (2,3) second choice
To find the rate of pay, first divide 82.50/7.5 to equal $11/hour.
Your rate of pay is $11 per hour.
Hope this helps!!
Answer:
0.3cm and/or 3mm
Step-by-step explanation:
When converting 10cm to mm you get 100mm and when putting 100mm to 103mm its visible that the 103mm is larger, but by how much? The difference is 0.3cm and/or 3mm.
Answer:
there are two solutions:
a)
, and
b) ![y=\frac{-6-2\sqrt{6} }{5}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-6-2%5Csqrt%7B6%7D%20%7D%7B5%7D)
Step-by-step explanation:
In the equation:
, since a perfect square with the unknown "y" is isolated on the left of the equal sign, we start by applying the square root on both sides of the equality, and then on isolating the unknown:
![(5y+6)^2=24\\\sqrt{(5y+6)^2} =+/-\sqrt{24} \\(5y+6)=+/-\sqrt{6*4} \\(5y+6)=+/-2\sqrt{6}\\5y=-6+/-2\sqrt{6}\\y=\frac{-6+/-2\sqrt{6} }{5}](https://tex.z-dn.net/?f=%285y%2B6%29%5E2%3D24%5C%5C%5Csqrt%7B%285y%2B6%29%5E2%7D%20%3D%2B%2F-%5Csqrt%7B24%7D%20%5C%5C%285y%2B6%29%3D%2B%2F-%5Csqrt%7B6%2A4%7D%20%5C%5C%285y%2B6%29%3D%2B%2F-2%5Csqrt%7B6%7D%5C%5C5y%3D-6%2B%2F-2%5Csqrt%7B6%7D%5C%5Cy%3D%5Cfrac%7B-6%2B%2F-2%5Csqrt%7B6%7D%20%7D%7B5%7D)
Therefore there are two solutions:
a)
, and
b) ![y=\frac{-6-2\sqrt{6} }{5}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-6-2%5Csqrt%7B6%7D%20%7D%7B5%7D)