Answer:
3/5
Step-by-step explanation:
The slope would be 3/5.
We can get the equation down to y=mx+b form first.
3x - 5y = 7
(Subtract 3x from both sides.)
-5y=-3x+7.
(Divide -5 on both sides.)
y=3/5-7/5.
Now, it is not parallel yet since to be parallel it needs a different y intercept, so just make one up.
Like:
y=3/5-7/3.
To see this visibly to make sure we can use desmos. com.
It is a graphing calculator where you can type the equation to see how it is graphed.
Answer:
The perimeter of parallelogram WXYZ is 2√5 + 2√17 units or also known as about 12.72 units.
Step-by-step explanation:
In the diagram, we have a parallelogram. A parallelogram is a shape with two pairs of congruent sides. So, this means that we only need to find the measurement of two sides. From there, we are going to multiply those individual measurements by 2 because both has another side that is congruent to them. Lastly, we will add up all of the measurements to find the perimeter.
We can find the lengths by using the distance formula.
![d=\sqrt{(x_2-x_1)^2+(y_2-y_2)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_2%29%5E2%7D)
Let's find the length of WX.
![WX=\sqrt{(4-0)^2+(0-(-1))^2}](https://tex.z-dn.net/?f=WX%3D%5Csqrt%7B%284-0%29%5E2%2B%280-%28-1%29%29%5E2%7D)
![WX=\sqrt{((4)^2+(1)^2)}](https://tex.z-dn.net/?f=WX%3D%5Csqrt%7B%28%284%29%5E2%2B%281%29%5E2%29%7D)
![WX=\sqrt{16+1}](https://tex.z-dn.net/?f=WX%3D%5Csqrt%7B16%2B1%7D)
![WX=\sqrt{17}](https://tex.z-dn.net/?f=WX%3D%5Csqrt%7B17%7D)
Now, we multiply this number by 2 because ZY is congruent to this side.
<em>√17 × 2 = 2√17</em>
Now, let's find the length of WZ.
![WZ=\sqrt{(0-(-1))^2+(-1-(-3))^2}](https://tex.z-dn.net/?f=WZ%3D%5Csqrt%7B%280-%28-1%29%29%5E2%2B%28-1-%28-3%29%29%5E2%7D)
![WZ=\sqrt{(1)^2+(2)^2}](https://tex.z-dn.net/?f=WZ%3D%5Csqrt%7B%281%29%5E2%2B%282%29%5E2%7D)
![WZ=\sqrt{1+4}](https://tex.z-dn.net/?f=WZ%3D%5Csqrt%7B1%2B4%7D)
![WZ=\sqrt{5}](https://tex.z-dn.net/?f=WZ%3D%5Csqrt%7B5%7D)
Now, we multiply this number by 2 because XY is congruent to this side.
<em>√5 × 2 = 2√5</em>
Now, we add these numbers together to get the perimeter.
<em>2√5 + 2√17 = 12.72</em>
Answer:
The correct answer is 53.
Answer:
So, the inequality is
![x(125-x)\geq 2500](https://tex.z-dn.net/?f=x%28125-x%29%5Cgeq%202500)
Step-by-step explanation:
Since, the shape of ocean front is rectangular
Let's assume length of rectangle is x feet
width of rectangle us y feet
we are given
An ocean front lot has a perimeter of 250 feet
so, we get
![2x+2y=250](https://tex.z-dn.net/?f=2x%2B2y%3D250)
now, we can solve for y
![x+y=125](https://tex.z-dn.net/?f=x%2By%3D125)
![y=125-x](https://tex.z-dn.net/?f=y%3D125-x)
now, we can find area
![Area=xy](https://tex.z-dn.net/?f=Area%3Dxy)
now, we can plug back y
![Area=x(125-x)](https://tex.z-dn.net/?f=Area%3Dx%28125-x%29)
an area of at least 2500 square feet
so, we get
![x(125-x)\geq 2500](https://tex.z-dn.net/?f=x%28125-x%29%5Cgeq%202500)