Answer: The graph is attached.
Step-by-step explanation:
1. Solve for y, as following:
![10x+7y](https://tex.z-dn.net/?f=10x%2B7y%3C49%5C%5C7y%3C-10x%2B49%5C%5Cy%3C-%5Cfrac%7B10%7D%7B7%7Dx%2B%5Cfrac%7B49%7D%7B7%7D%5C%5C%5C%5Cy%3C-%5Cfrac%7B10%7D%7B7%7Dx%2B7)
2. The equation of the line in slope intercept form is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where m is the slope and b is the y-intercept.
3. In this case the equation of the line is:
![y=-\frac{10}{7}x+7](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B10%7D%7B7%7Dx%2B7)
then:
![m=-\frac{10}{7}\\\\b=7](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B10%7D%7B7%7D%5C%5C%5C%5Cb%3D7)
4. Find the x-intercept. Make y=0. Then:
![0=-\frac{10}{7}x+7\\\frac{10}{7}x=7\\x=4.9](https://tex.z-dn.net/?f=0%3D-%5Cfrac%7B10%7D%7B7%7Dx%2B7%5C%5C%5Cfrac%7B10%7D%7B7%7Dx%3D7%5C%5Cx%3D4.9)
5. Then, plot the line that passes through the points (0,7) and (4.9, 0).
6. The symbol of the inequality is < therefore, the line must be dashed and indicates that the region under the line must be shaded.
Then you obtain the graph attached.
Answer:
14+=+2L+%2B+2%28L-3%29 Simplify and solve for L
14+=+2L+%2B+2L+-+6 Combine like-terms.
14+=+4L-6 Add 6 to both sides.
20+=+4L Divide both sides by 4.
5+=+L The length is 5 meters.
W+=+L-3
W+=+5-3
W+=+2meters.
The width is 2 meters.
P+=+2L%2B2W
P+=+2%285%29%2B2%282%29
P+=+10%2B4
P+=+14meters.
Step-by-step explanation:
9 is the answer for that problem
Step-by-step explanation:
Given :
1- cosA = 1/2
or, CosA = 1 -1/2
Therefore ; CosA = 1/2 = b/h
According to the Pythagoras theorem,
P = root under h^2 - b^2
= root under (2)^2 - (1)^2
= root under 4 -1
= root 3
Again,
SinA = P/h
= root 3 / 2
Answer:
B)m^2/3n^5/3
Step-by-step explanation: