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Rudik [331]
3 years ago
9

Select the two binomials that are factors of 64x^2 – 36.

Mathematics
2 answers:
lara [203]3 years ago
7 0
64x² - 36 factors to be (8x + 6)(8x - 6)

Option C is your answer. 

HOWEVER, I cannot tell what the operation is supposed to be performed because of the way it is showing up above (see attached pic). So I can also just simplify it.

64x² - 36 becomes 4(16x² - 9) or 4(4x - 3)(4x + 3)

64x² + 36 becomes 4(16x² + 9)

ira [324]3 years ago
3 0

Answer:

8x+6 and 8x-6

C and D are correct.

Step-by-step explanation:

Given: 64x^2-36

We need to factor it and choose two polynomial of factored form.

\Rightarrow 64x^2-36

First we write as perfect square each term and difference of square

\Rightarrow (8x)^2-6^2

Because 64 = 8x8   and 36=6x6

Using difference of square identity,

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

\Rightarrow (8x+6)(8x-6)

Thus, Two factors are 8x+6 and 8x-6

Two binomial of factors are 8x+6 and 8x-6

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In parallelogram QRST QS RT Is QRST a rectangle ?
fomenos

Answer:

The correct option is A.

Step-by-step explanation:

It is given that the QRST is a parallelogram and the diagonals QS and RT are congruent.

According to the property of parallelogram if the length of diagonals are same, then the parallelogram is rectangle. We can also prove it.

Let QRST be an parallelogram and QS=RT.

In triangles QRT and RQS.

RT=QS         (Diagonals)

QR=QR         (Common side)

QT=RS         (Opposite sides of the parallelogram are same)

So by SSS rule of congruence, triangle QRT and triangle RQS are congruent.

By CPCT,

\angle R=\angle Q

Since the sum of two consecutive angles of a parallelogram is 180 degree.

\angle R+\angle Q=180

2\angle R=180

\angle R=90

Therefore the measure of angle R and angle Q are 90 degree.

Similarly in triangle QST and RTS,

RT=QS         (Diagonals)

ST=ST         (Common side)

QT=RS         (Opposite sides of the parallelogram are same)

So by SSS rule of congruence, triangle QST and RTS are congruent.

By CPCT,

\angle S=\angle T

Since the sum of two consecutive angles of a parallelogram is 180 degree.

Therefore the measure of angle S and angle T are 90 degree.

Since the measure of all interior angles of QRST are 90 degree, therefore the parallelogram QRST  is a rectangle.

6 0
3 years ago
Read 2 more answers
Andre earns $12 per hour tutoring students after school. If Andre tutored for 24 hours this month, how much money did he earn th
Sophie [7]

Answer:

$288 dollars

Step-by-step explanation:

12 x 24 = 288

8 0
3 years ago
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The tennis racket is $36.75 before tax in the sales tax is 6% what is the finial price
scoundrel [369]
The final price for the racket is $38.96
7 0
3 years ago
What is required for two triangles to be similar?
andrey2020 [161]
To make this simple

If two pairs corresponding angles in a pair of triangles are congruent then the triangles are similar
5 0
3 years ago
Show work please thank you
Alenkinab [10]
Hey there!:)

b1+b2
--------- x h =area 
2

(3+5)/2h=area

8/2h=area

4(2)=area
area= 8ft squared (this is your answer) 

Hope this helps! Let me know if you need more help:) 
8 0
2 years ago
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