Answer:
The variable in the equation is represented by
✔ y
.
To solve the equation, you must find the
✔ value of y
that makes the equation true.
1 is a solution of the equation because
✔ 5 = 5
is a true statement
Step-by-step explanation:
Answer:
<em>Proof below</em>
Step-by-step explanation:
<u>Right Triangles</u>
In any right triangle, i.e., where one of its internal angles is 90°, some interesting relations stand. One of the most-used is Pythagora's Theorem.
In a right triangle with shorter sides a and b, and longest side c, called the hypotenuse, the following equation is satisfied:

The image provided in the question shows a line passing through points A(0,4) and B(3,0) that forms a right triangle with both axes.
The origin is marked as C(0,0) and the point M is the midpoint of the segment AB. We have to prove.

First, find the coordinates of the midpoint M(xm,ym):


Thus, the midpoint is M( 1.5 , 2 )
Calculate the distance CM:


CM=2.5
Now find the distance AB:

AB=5
AB/2=2.5
It's proven CM is half of AB
Since DC = 12, then EF also = 12.
Both AD and BC are indicated to be the same .
So AE = (24 - 12) / 2 = 12/2 = 6
Now you have a right triangle with height DE = 8 and base AE = 6
Using the Pythagorean Theorem we can now find AD:
AD = √(8^2 + 6^2)
AD = √(64 + 36)
AD =√100
AD = 10
Answer:
B. -11 + 7
Step-by-step explanation:
Minus a negative translates to add.
-11 - (-7) = -11 + 7