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Natali5045456 [20]
3 years ago
7

1.) What is the product of (-6)^2?

Mathematics
2 answers:
Dmitriy789 [7]3 years ago
5 0

im not sure about the first one but im 100% about 2 and 3

2-A

3-D

Yuri [45]3 years ago
3 0
1.)

Product of ( - 6 )²

➡ ( - 1 × 6 )²

=> ( - 1 )² × ( 6 )²

=> ( - 1 × - 1 ) × ( 6 × 6 )

=> ( 1 ) × ( 36 )

=> 36



\text{Option C is correct }




2.)

=> ( - 84 ) ÷ ( 14 )


=  >  \frac{ - 84}{14}


Divide both by 14 ,


=  >  \frac{ -  \frac{84}{14} }{ \frac{14}{14} }  \\  \\  \\  \\  =  >  \frac{  - \frac{  \:  \:  \:  \: \cancel{84} { \:  \: }^{6} }{ \cancel{14}} }{ \frac{ \cancel{14}}{ \cancel{14}} }  \\  \\  \\  \\  =  >  -  \frac{6}{1}  \\  \\  \\  \\  =  >  - 6



On simplifying we get - 6




\text{Option A is correct }





3.)

=> - 8( 12 )

=> - 8( 10 + 2 )

=> - 8( 10 ) - 8( 2 )

=> -80 - 16

=> - 96





On simplifying we get - 96





\text{Option D is correct }
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Suppose a local park is rectangular in shape and has a length of 210 yards and a width of 105 yards. What is the length of the d
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Answer:

234.784 ~ 235

Step-by-step explanation:

One side = 210

other side = 105

a2+b2 = c2

210 ^2 + 105 ^2 = c2

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c = \sqrt{55125} = 234.784 ~ 235

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Answer:

1. y=3/2x + 12   2. y= 1/4x + 8

Step-by-step explanation:

Use the slope formula to get the slope for each line.  Then plug either of the x and y coordinates into the formula y= mx + b and also plug in the slope that you just found and solve for b.

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elise takes 12 minutes to rake up and bag a pile of leaves her sister katherine takes twice as long, how many minutes would it t
Ymorist [56]

Answer:

80 minutes

Step-by-step explanation:

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First,

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and

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Their rates would be (inverses):

Elise Rate = 1/12

Katherine Rate = 1/24

Together their rate is 1/12 + 1/24 = 3/24

Now, the inverse of this rate would be the time it takes to complete 1 bag together, that is:

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So, 10 bags would take them:

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8 0
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Find the quotient: 8,358 ÷ 27 = ________.<br> 309 r 15<br> 309 r 26<br> 310 r 15<br> 310 r 26
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Points P, Q, and S are collinear. What is m∠PQR? Straight angle P Q S is divided into 2 angles, P Q R and R Q S, by ray Q R. Ang
andreyandreev [35.5K]

Answer:

Step-by-step explanation:

If P, Q and S are collinear, then the three points lies on the same straight line.

If the Straight <P Q S is divided into 2 angles, <P Q R and <R Q S, by ray Q R, then;

<P Q R + <R Q S = 180

Given

<R Q S =x+1

<P Q R = 3x-5

Substitute the given expression into the formula and calculate x;

3x-5+x+1 = 180

collect like terms

3x+x - 5+1 = 180

4x-4 = 180

4x = 180+4

4x = 184

divide both sides by 4

4x/4 = 184/4

x = 46°

To get m∠PQR, we will substitute x = 46 into the expression for m∠PQR.

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m∠PQR = 3(46) - 5

m∠PQR = 138 - 5

m∠PQR = 133°

Hence the measure of angle m∠PQR is 133°

4 0
3 years ago
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