Respuesta:
8
Explicación paso a paso:
Si A, B y C son números enteros, según la propiedad distributiva;
A (B + C) = AB + AC
tenga en cuenta que A se distribuyó sobre B y C
Aplicando esto para expandir la expresión dada -4. (-5 + 3)
-4. (-5 + 3)
= -4 (-5) + -4 (3)
= 20 + (-12)
= 20 - 12
= 8
Por lo tanto, la respuesta requerida es 8
P(7,6), Q(1,6), R(4,2)
We have PQ parallel to the x axis. We'll call that the base,
b = 7 - 1 = 6
The altitude is then the y difference h = 6 - 2 = 4
The area is 
Answer: 12 square units
In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:
(7,6), (1,6), (4,2)
(1,6), (4,2), (7,6)
The area is then half the absolute value of the sum of the cross products:

Given:
QSR is a right triangle.
QT = 10
TR = 4
To find:
The value of q.
Solution:
Hypotenuse of QSR = QT + TR
= 10 + 4
= 14
Geometric mean of similar right triangle formula:


Do cross multiplication.


Switch the sides.

Taking square root on both sides.

The value of q is
.
A) (0,0) and (3,1)
1-0 divided by 3-0
Slope is 1/3
the slope represents the relationship between x and y
b) (6,2) and (-3,-1)
-1-2 divided by -3-6
Slope is 1/3
c) yes, the two triangles represent the same slope as all of the four points used are collinear (on the same line), making all the slopes equal.