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aleksandr82 [10.1K]
4 years ago
6

What is the completely factored form of d4 - 8d2 + 16?. A) (d2 + 4)(d2 - 4). B) (d2 - 4)(d2 - 4). C) (d2 + 4)(d + 2)(d - 2). D)

(d + 2)(d - 2)(d + 2)(d - 2)
Mathematics
1 answer:
Wittaler [7]4 years ago
8 0
For a quadratic equation, the negative of the numerical coefficient of the second term is the sum of the roots and the constant is their product. Let a and b be the roots such that,
                                      a + b = 8
                                        ab = 16
The values of a and b are 4 and 4. Such that the factors are,
                                        (d² - 4)(d² -4)
Both the factors are difference of two squares. The final answer for this item is,
                                  (d + 2)(d - 2)(d + 2)(d - 2)

This is letter D. 
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Given the point D(4,6), what is D' with R-90°
seraphim [82]

Answer:

D'( -6 , 4).

Step-by-step explanation:

In rotation through 90 degrees from the origin

P(x,y) - P'(-y , x)

D(4 , 6) - D'( -6 , 4).

It's simple

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3 years ago
help A clothing store uses a markup of 60% on all items they purchase to sell. What is the retail price of a pair of shoes that
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210

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3 years ago
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The equation for a parabola has the form y = ax2 + bx + c, where a, b, and c are constants and a ≠ 0. find an equation for the p
sattari [20]
To solve the problem, substitute the given points for x in the given equation to get

-10=(-1)^2a+(-1)b+c\Rightarrow-10=a-b+c \\ -6=(1)^2a+(1)b+c\Rightarrow-6=a+b+c \\ -13=(2)^2a+(2)b+c\Rightarrow-13=4a+2b+c

Solving the three equations simultaneously, we have:

a = -3, b = 2 and c = -5

Therefore, the required equation is

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7 0
3 years ago
What happens to the decimal point in a number when the number is divided by 10^1
Darya [45]

Answer:

The decimal will move 1 place value to the left. For example 10 to the first power is 10 so 15.3/10 will equal to 1.53.

3 0
4 years ago
I need your help again guys!
solmaris [256]

ANSWER

x = 13

EXPLANATION

Use the Pythagoras Theorem to obtain,

{x}^{2}  =  {12}^{2}  +  {5}^{2}

This implies that,

{x}^{2}  = 144 + 25

{x}^{2}  = 169

Take the positive square root of both sides to get,

x =  \sqrt{169}

x = 13

8 0
4 years ago
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