Answer:
The scale used on his map is <u>150 miles : 2 inches</u>.
Step-by-step explanation:
Given:
Ted knows the actual distance between two cities is 150 miles. His map shows a distance of 2 inches between these cities.
Now, to find the scale Ted used on his map.
The actual distance Ted know between two cities = 150 miles.
The distance on map between these cities = 2 inches.
So, to get the scale used on his map:



Therefore, the scale used on his map is 150 miles : 2 inches.
The next two patterns are 2,500 12,500
Answer:
1) Combine like terms
2) ![\sqrt[3]{x} =3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D%20%3D3)
3) cube both sides of the equation
4) ![4\sqrt[3]{27} +8\sqrt[3]{27}=36](https://tex.z-dn.net/?f=4%5Csqrt%5B3%5D%7B27%7D%20%2B8%5Csqrt%5B3%5D%7B27%7D%3D36)
5) 4(3) + 8(3) = 36
Step-by-step explanation:
1) Combine like terms
2) ![\sqrt[3]{x} =3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D%20%3D3)
3) cube both sides of the equation
4) ![4\sqrt[3]{27} +8\sqrt[3]{27}=36](https://tex.z-dn.net/?f=4%5Csqrt%5B3%5D%7B27%7D%20%2B8%5Csqrt%5B3%5D%7B27%7D%3D36)
5) 4(3) + 8(3) = 36
Answer:
y=-2x-12
Step-by-step explanation:
first, putt 3x-6y=2 in standard form:
subtract 3x from both sides: -6y=-3x+2
divide both sides by -6 to isolate y: y=1/2x-1/3
if the other line is perpendicular to this, you must find the slope by finding the opposite reciprocal of 1/2x: -2
now we have 2 points a slope, so we use the point-slope formula: y-y1=m(x-x1)
y+2=-2(x+5)
Use the distributive property: y+2=-2x-10
subtract 2 for both sides to isolate y: y=-2x-12