Which expressions are equivalent to 16x4 − 64? Check all that apply.16x4 + 16x – 16x – 64


16x4 – 8x – 8x – 64


(4x2 + 8)(4x2 – 8)


16(x2 + 2)(x2 – 2)


4(4x4 – 8)

Answers

Answer 1
Answer:

A. 16x^4 + 16x - 16x - 64

C. (4x^2 + 8)(4x^2 - 8)

D. (16x^2 + 209x^2 - 2)


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In a rhombus, the sides are 14 inches long. two intersecting sides form a 60 degree angle. what are the exact lengths of the two diagonals

Answers

Long Diagonal AD = Square Root  (2•Side² + 2•Side² • cos(A) )
Long Diagonal AD = Square Root (2*14^2 + 2*14^2 * cos(60) )
Long Diagonal AD = Square Root ( 392 + 392*.5)
Long Diagonal AD = Square Root (392 + 196)
Long Diagonal AD = Square Root (588)
Long Diagonal AD =
24.248711306

Short Diagonal BC = Square Root  (2•Side² - 2•Side² • cos(A) )
Short Diagonal AD = Square Root ( 392 - 392*.5)
Short Diagonal AD = Square Root ( 392 - 196)
Short Diagonal AD = Square Root (196)
Short Diagonal AD = 14


When two lines intersect, they form

Answers

Intersecting lines hope this helps
They form a Point OR an Angle :))

Factoring: All Techniques CombinedFactor Each

4) x^(6) + 2 x^(4) - 16 x^(2) - 32

Answers

x^(6) + 2 x^(4) - 16 x^(2) - 32 =x^4(x^2+2)-16(x^2+2)=(x^2+2)(x^4-16)=\n \n=(x^2+2)(x^4-4^2)=(x^2+2)(x^2-4)(x^2+4) =\n \n=(x^2+2)(x^2+4)(x+2)(x-2) \n \n \na^2-b^2 =(a-b)(a+b)



If 500 students attend Washington Middle School, how many are going to the mountians for vacation?A. 25
B. 60
C. 75
D. 100
E. 125

Answers


12% of 500 people

12/100 x 500=60

For the function f(x) = –(x + 1)^2 + 4, identify the vertex, domain, and range. a. The vertex is (–1, 4), the domain is all real numbers, and the range is y ≥ 4.
b. The vertex is (–1, 4), the domain is all real numbers, and the range is y ≤ 4.
c. The vertex is (1, 4), the domain is all real numbers, and the range is y ≥ 4.
d. The vertex is (1, 4), the domain is all real numbers, and the range is y ≤ 4.

Answers

b; you can graph the function on a graphic calculator or use algebra find each of the desired aspects

Answer:

the answer is B

Step-by-step explanation:

the domain equals to be (-1,4) and a equals more than 0 so it is y ≤ 4

P= a+b+2c solve for c

Answers

                    P = a + b + 2c
          P - a - b = a - a + b - b + 2c
          P - a - b = 2c
                 2         2
¹/₂P - ¹/₂a - ¹/₂b = c