From the two right triangles, you can write the following equations using the Pythagorean theorem. Let's call that shared leg in the middle "y"
y^2 + b^2 = a^2
y^2 + c^2 = x^2
y^2 + b^2 = a^2
re-write this to get "y" alone for substitution.
y^2 = a^2 - b^2
substitute (a^2 - b^2) for y^2 in the other equation. y^2 + c^2 = x^2
a^2 - b^2 + c^2 = x^2
Now put in the values given for a,b,c to solve for x
(7.1)^2 - (5.6)^2 + (5.7)^2 = x^2
51.54 = x^2
square root
7.2 = x
Answer:
y=mx+b
Step-by-step explanation:
standard slope intercept form. just plug in slope and intercept
The coordinates of the school is now (5,7).
In a chemical change, matter is neither created nor destroyed. A combination of two or more substances in which the basic identity of each substance is not changed.
Answer:
4.8 miles
Step-by-step explanation:
First you need to figure out an equation which will be 10<or equal to 1.25m+4. In this equation m=the number of miles. Knowing this information you can now solve. You want to subtract 4 from both sides leaving you with 6 is less than or equal to 1.25m. You then divide both sides by 1.25 and you are left with 4.8 is less than or equal to m.