Answer:
X=16.5
Step-by-step explanation:
Answer: = 83
Step-by-step explanation:
Answer:
x² - 1 = 8
Step-by-step explanation:
Given the following algebraic expression;
x² - 1
When x = -3
Substituting the value of x, we have;
x² - 1 = (-3)² - 1
x² - 1 = 9 - 1
x² - 1 = 8
Method II.
x² - 1 = (x - 1)(x + 1)
Substituting the value of x, we have;
x² - 1 = (-3 - 1)(-3+ 1)
x² - 1 = -4(-2)
x² - 1 = 8
First, you must observe the figure and realize that you have a parallelogram and a rectangle.
Therefore, the total area will be the sum of the area of the parallelogram plus the area of the rectangle.
Palelogram area:
A1 = b * h
We have then
b = root ((- 4 - (- 10)) ^ 2+ (2-2) ^ 2) = 6
h = root ((- 7 - (- 7)) ^ 2+ (3-2) ^ 2) = 1
A1 = (6) * (1) = 6 units ^ 2
Rectangle area
A2 = L * W
We have then:
L = root ((1 - (- 2)) ^ 2 + (- 3 - (- 4)) ^ 2) = 3.16227766
W = root ((- 4 - (- 2)) ^ 2+ (2 - (- 4)) ^ 2) = 6.32455532
A2 = (3.16227766) * (6.32455532)
A2 = 20 units ^ 2
The total area is the sum of both ares:
A = A1 + A2
A = 6 + 20
A = 26 units ^ 2
Answer:
the area of this figure
A = 26 units ^ 2
Answer:
D = 4, Z = 24
Step-by-step explanation:
6D+3Z = 96
5D+4Z = 116
multiply top by 5 and bottom by -6
top equation = 30D+15Z = 480
bottom equation = -30D-24Z = -696
Cancel 30D and -30 D
top equation = 15Z = 480
Bottom equation = -24Z = -696
15Z - 24 Z = 480 - 696
-9Z = 216
Z = 216/9
Z = 24
Now that we have the value of Z, we can substitute it in any equation to find D
6D + 3(24) = 96
6D + 72 = 96
6D = 96 - 72
6D = 24
D = 24/6
D = 4