Answer:
(
x−
2
)
(
x
+
4
)
Step-by-step explanation:
Hey there!!
How do you find slopes?
Ans - In order to find slope, we will need to use the slop formula which is
( y₂ - y₁ ) / ( x₂ - x₁ )
Now let's take two points on the graph :
I would take the coordinates ( 0 , -1 ) and ( 1 , 4 )
y₂ = 4 , y₁ = -1 and x₂ = 1 , x₁ = 0
( 4 + 1 ) / ( 1 - 0 )
5 / 0
Hence, the slope is equal to 5
Hope my answer helps!!
Answer:
7.1 miles
Step-by-step explanation:
Consider right triangle HospitalSchoolSupermarket. In this triangle:
- HospitalSchool = 14.7 mi;
- HospitalSupermaket = 11.76 mi;
- School Supermarket = 8.82 mi.
The shortest road from the main entrance of the supermarket to the highway that connects the school and hospital will be the height drawn from the point Supermarket to the hypotenuse HospitalSchool.
Let the length of this road be x mi and the distance from School to point A be y mi. Use twice the Pythagorean theorem for right triangles Supermarket SchoolA and SupermarketHospitalA:
![\left\{\begin{array}{l}x^2+y^2=8.82^2\\ \\x^2+(14.7-y)^2=11.76^2\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%5E2%2By%5E2%3D8.82%5E2%5C%5C%20%5C%5Cx%5E2%2B%2814.7-y%29%5E2%3D11.76%5E2%5Cend%7Barray%7D%5Cright.)
Subtract from the second equation the first one:
![x^2+(14.7-y)^2-x^2-y^2=11.76^2-8.82^2\\ \\14.7^2-2\cdot 14.7y+y^2-y^2=11.76^2-8.82^2\\ \\-29.4y=11.76^2-8.82^2-14.7^2\\ \\29.4y=155.5848\\ \\y\approx5.24\ mi](https://tex.z-dn.net/?f=x%5E2%2B%2814.7-y%29%5E2-x%5E2-y%5E2%3D11.76%5E2-8.82%5E2%5C%5C%20%5C%5C14.7%5E2-2%5Ccdot%2014.7y%2By%5E2-y%5E2%3D11.76%5E2-8.82%5E2%5C%5C%20%5C%5C-29.4y%3D11.76%5E2-8.82%5E2-14.7%5E2%5C%5C%20%5C%5C29.4y%3D155.5848%5C%5C%20%5C%5Cy%5Capprox5.24%5C%20mi)
Thus,
![x^2=8.82^2-5.24^2=50.3348\\ \\x\approx 7.1\ mi.](https://tex.z-dn.net/?f=x%5E2%3D8.82%5E2-5.24%5E2%3D50.3348%5C%5C%20%5C%5Cx%5Capprox%207.1%5C%20mi.)
so what you do is distribute the 0.9 to x and 1.4 to get 0.9x+1.26 then combine like terms 1.9x - 1.04= 1.6 then add 1.04 to both sides to get 1.9x = 2.64 divide 1.9 to both sides
answer:1.389 and if you round 1.39