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blsea [12.9K]
3 years ago
9

Is the line y = 3x – 7 parallel or perpendicular to 3x + 9y = 9? Explain your answer.

Mathematics
1 answer:
Mama L [17]3 years ago
6 0

Answer:

perpendicular

Step-by-step explanation:

The slope of y = 3x - 7 is 3.

3x + 9y = 9 → 9y = -3x + 9 → y = -1/3 x + 1 so its slope is -1/3.

This means that they are perpendicular because the product of their slopes is -1.

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What is the smallest angle of rotational symmetry for a square
mars1129 [50]

When we rotate a figure and there is no change in the shape of the figure then it has rotational symmetry.

We know that the order of rotation for a square is 4.

Hence, we have \frac{360}{4} =90^{\circ}

Thus, the angle of rotational symmetry of square are

90^{\circ}, 180^{\circ}, 270^{\circ}

Hence, the minimum angle  of rotational symmetry is  90^{\circ}

Therefore, the minimum angle of rotational symmetry for a square is 90 degrees.

7 0
3 years ago
Read 2 more answers
Given the number 2376.458 rounded to the following place values: 1) Rounded to the nearest hundred, 2) Rounded to the nearest wh
olasank [31]

Answer:

1)2400

is the result of rounding 2376.458 to the nearest 100.

2) 2376

is the result of rounding 2376.458 to the nearest integer.

3)2376.46

is the result of rounding 2376.458 to the nearest 0.01

I hope this is right and it helps !!!!!!!!!!!!!!!!

7 0
3 years ago
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A cruise left port A and traveled towards port B 225 km away. After 1.5 hours of travel, the cruise was stopped for a half an ho
Softa [21]

Answer:

50

Step-by-step explanation:

v = the original speed of the cruise

d = 225 km the distance passed

t = d/v = 225/v the total time of the travel

v*1.5 + (v + 10)(d/v - 1.5 - 0.5) = d (using the formula distance = speed*time)

1.5v + (v + 10)(225/v - 2) = 225

Look at the images to see the solved equation

7 0
3 years ago
Caroline is making some table decorations.
MrMuchimi

Answer:

Caroline buys 3 packs of candles and 5 packs of holders.

Step-by-step explanation:

1.) First, find multiples of 30 by adding 30 to itself. For example, 30, 60, 90.

2.) Second, find multiples of pakcs of holders until it matches the multiples of candle packs. 18, 36, 54, 72, 90.

3.) then you find that Caroline buys 3 packs of candles and 5 packs of candle holders so she has the same amount of both.

4 0
3 years ago
In june 2005, Peter mailed a package from his local post office in Fayetteville North Carolina to a friend in Radford, virginia
den301095 [7]

The total price that Peter paid for the local parcel = $2.07

The rate per ounce at that time was = $0.23/ounce

Total weight of Peter's package = Total price paid by peter/ rate per ounce

Total weight of Peter's package = $2.07/$0.23 per ounce

We now have to divide 2.07/0.23 = 207/23 (Shifting both numerator and denominator by 2 decimal places) = 9

Total weight of Peter's package = 9 ounces



8 0
3 years ago
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