Answer:
![y=\dfrac{5}{4}x+1](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B5%7D%7B4%7Dx%2B1)
Step-by-step explanation:
Slope intercept form a equation of a line is given by the following formula:
Slope intercept form:
![y=mx+c](https://tex.z-dn.net/?f=y%3Dmx%2Bc)
Given that, a point is (-4,-4)
i.e.
![x=-4,\\y=-4](https://tex.z-dn.net/?f=x%3D-4%2C%5C%5Cy%3D-4)
Slope, ![m =\frac{5}{4}](https://tex.z-dn.net/?f=m%20%3D%5Cfrac%7B5%7D%7B4%7D)
Putting the given values in the Slope intercept form equation:
![-4=-4\times \dfrac{5}{4}+c\\\Rightarrow -4=-5+c\\\Rightarrow c =1](https://tex.z-dn.net/?f=-4%3D-4%5Ctimes%20%5Cdfrac%7B5%7D%7B4%7D%2Bc%5C%5C%5CRightarrow%20-4%3D-5%2Bc%5C%5C%5CRightarrow%20c%20%3D1)
Putting the value of
and
in the slope intercept form:
![y=\dfrac{5}{4}x+1](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B5%7D%7B4%7Dx%2B1)
Answer:
(9, 9)
Step-by-step explanation:
midpoint of (-4,15) and (22,3)
![= \bigg( \frac{ - 4 + 22}{2}, \: \: \frac{15 + 3}{2} \bigg) \\ \\ = \bigg( \frac{18}{2}, \: \: \frac{18}{2} \bigg) \\ \\ = ( 9, \: \: 9) \\ \\](https://tex.z-dn.net/?f=%20%3D%20%20%5Cbigg%28%20%5Cfrac%7B%20-%204%20%2B%2022%7D%7B2%7D%2C%20%5C%3A%20%20%5C%3A%20%20%5Cfrac%7B15%20%2B%203%7D%7B2%7D%20%20%5Cbigg%29%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cbigg%28%20%5Cfrac%7B18%7D%7B2%7D%2C%20%20%5C%3A%20%20%5C%3A%20%20%5Cfrac%7B18%7D%7B2%7D%20%20%5Cbigg%29%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%28%209%2C%20%20%5C%3A%20%20%5C%3A%20%209%29%20%5C%5C%20%20%5C%5C%20)
Sides of first rectangle are 12 inches and 6 inches
and sides of second rectangle are 10 inches and 5 inches
So to find the ration of sides we can do
Ratio of bases = 12/10 = 6/5
Ratio of altitudes = 6/5
Area of first rectangle = base * altitude = 12 *6 = 72 square inches
Answer:
C: 200
Step-by-step explanation:
Just multiply 12.5 x 8 x 2 to get the answer.
20x2 = 40 in width
180-40= 140
140/2=70
70 inches