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german
3 years ago
8

Determine whether the polynomial is a difference of squares and if it is, factor it.

Mathematics
2 answers:
Paha777 [63]3 years ago
8 0
The answer is C
    y² - 25
= y² - 5²
 =  (y + 5)(y - 5) which is a difference of two squares
LenaWriter [7]3 years ago
6 0
<h2>Answer:</h2>

Option: C is the correct answer.

C.   Is a difference of squares: (y + 5)(y − 5).

<h2>Step-by-step explanation:</h2>

We are given a polynomial expression in terms of the variable y as follows:

                        y^2-25

Now this expression could also be written as:

y^2-25=y^2-5^2

This means that the expression is a difference of squares.

Also, we know that:

a^2-b^2=(a+b)(a-b)

Here,

a=y\ and\ b=5

Hence,

y^2-25=(y+5)(y-5)

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How long is the arc intersected by a StartFraction 2 pi Over 3 EndFraction radian central angle in a circle with radius 7 feet
statuscvo [17]

Answer:

14pi/3 feet

Step-by-step explanation:

none

4 0
4 years ago
Three fourths a number plus 8 is 20 less than the number
VARVARA [1.3K]

Answer:

Equation:  \frac{3}{4}n+8=n-20

Solve for n:  n = 112

Step-by-step explanation:

To first set up the equation, you need to look at the verbal description and translate into numbers and operations:

'three fourths a number' =  \frac{3}{4} n

'plus 8' = + 8

'is' =

'20 less' = - 20

'the number' = n

Put the expressions together:

'three fourths a number plus 8':  \frac{3}{4}n+8

'20 less than the number': n - 20

Set them equal to each other and solve: \frac{3}{4}n+8=n-20

Add 20 to both sides: \frac{3}{4}n+8+20=n-20+20

Subtract \frac{3}{4}n from both sides: \frac{3}{4}n-\frac{3}{4}n+28=n-\frac{3}{4}n

Multiply both sides by \frac{4}{1}: \frac{4}{1}28=\frac{1}{4}n\frac{4}{1}

Solve for n:  n = 112

7 0
3 years ago
A function is given. h(t) = −t + 6/5 ; t = −3, t = 1
artcher [175]

Answer:

h(-3) = 4.2 or 21/5

h(1) = 0.2 or 1/5

Step-by-step explanation:

Plug in -3 for t.

-(-3) + 6/5 = 4.2 or 21/5

Plug in 1 for t.

-(1) + 6/5 = 0.2 or 1/5

8 0
2 years ago
A student finished 72 of her homework problems in class. If the ratio of problems she finished to problems she still had left wa
kramer


Finished:Left

8:1

8/1 = 72/x

Cross Multiply

8x=72

divide each side by 8

x=9

She already finished 72 and has 9 remaining

Total = Finished + Remaining = 72 + 9 = 81

4 0
3 years ago
I'm stuck and really need help. I can't figure out the rest.
Ad libitum [116K]

Answer:

The next statements are are;

Statement                                                  {}        Reason

Segment \overline {DC} ≅ Segment \overline {AB}                        {}   CPCTC

\overline {AD} ≅ \overline {BC} and \overline {DC} ≅ \overline {AB}, therefore;

ABCD is a parallelogram                    {}               Parallelogram side theorem

Step-by-step explanation:

Statement                                                  {}        Reason

Segment \overline {DC} ≅ Segment \overline {AB}  by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

Given that \overline {AD} ≅ \overline {BC} and we have that \overline {DC} ≅ \overline {AB}, we get;

ABCD is a parallelogram                    {}               Parallelogram side theorem

The parallelogram side theorem states that a quadrilateral is a parallelogram if it has two pairs or sets of congruent opposite sides.

4 0
3 years ago
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