Find the area of a polygon with vertices at (1, 3), (7, 3), (7, 7), and (4, 7). a. 24 units2 b. 10 units2 c. 12 units2 d. 18 units2

Answers

Answer 1
Answer:

Answer:

Option D

Step-by-step explanation:

Vertices of the polygon are A(1, 3), B(7, 3), C(7, 7), D(4, 7)

Measure of AB = 7 - 1 = 6 units

Measure of BC = 7 - 3 = 4 units

Measure of CD = 7 - 4 = 3 units

From the figure attached,

Area of the trapezoid = (1)/(2)(AB+CD)(BC) [Here, AB and CD are the parallel bases and BC is the height of the trapezoid]

                                    = (1)/(2)(6+3)(4)

                                    = 18 square units

Therefore, Option D will be the correct option.


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Determine whether each expression is equivalent to −9.8+(−4.3).Select Yes or No for each expression.
−9.8−4.3
Yes
No
−9.8+(−0.2)+(−4.1)
Yes
No
−9.8−0.2+4.1
Yes
No
−9.8+(−0.2−4.5)
Yes
No
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Yes
No

Answers

a=yes
b=yes
c=no
d=no
e=yes

Answer:

^^^^

Step-by-step explanation:

A pool has 29,000,000 mL how many liters of water can the pool hold

Answers

1000mL=1L so 29,000,000mL=29,000L
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Which of the expressions below can be factored using the difference of squares method?A. 100x2 - 55y2
B. 100x2 + 49y2
C. 100x2 - 49y2
D. 100x2 + 55y2

Answers

The expression that can be factored using the difference of squares method:
C) 100x^(2)-49y^(2)
Factorization:
100x^(2)-49y^(2) = (10x+7y)*(10x-7y)

Let f(x) = 3x2 – x 2 and g(x) = 5x2 – 1. Find f(g(x)). Show each step of your work.

Answers

easy, sub g(x) for x in f(x)

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g(x)=5x^2-1
f(g(x))=3(5x^2-1)^2-(5x^2-1)^2=
3(25x^4-10x^2+1)-(25x^4-10x^2)=
2(25x^4-10x^2+1)=
50x^4-20x^2+2

f(g(x))=50x^4-20x^2+2

P-4x - 3y= -26
-5x+2y= -21
Find the solution to the system of equations shown above by graphing.
A. X= 5, y= 2
B. X= 5, y=3
C. X= 2, y = 5
D. x= 6, y= 2
PLEASE EXPLAIN!!!

Answers

The answer is A because if u graph it it would be right