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Fudgin [204]
3 years ago
10

The directions: Write an equation in point-slope form of the line that passes through the given point and has the given slope m.

The problem: (2,1), m=2
Mathematics
1 answer:
guajiro [1.7K]3 years ago
8 0
Point slope form y- y1 = m(x- x1) coordinates are (2,1) m=2

so the equation becomes y-1= 2(x-2)
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A square has an area of 4 square centimeters. What is the length of one side, in centimeters?
Lunna [17]

Answer:

2 cm

Step-by-step explanation:

\sqrt{4 cm^{2}} =2 cm

7 0
3 years ago
If AC=12, BC=3, find CE<br> 1) 3 square root of 3<br> 2) 6<br> 3) 18
azamat

Answer:

2) 6

Step-by-step explanation:

CE^2 = BC * AC

CE^2 = 3 * 12

CE^2 = 36

CE = 6

7 0
3 years ago
Read 2 more answers
Carlos is arranging books on shelves. He has 56 novels and 16 autobiographies. Each shelf will have the
labwork [276]

Answer:

72

Step-by-step explanation:

it would be 72 because your adding 56+16 and that equals 72 numbers he will use

8 0
3 years ago
A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track
harkovskaia [24]

Answer:

  C.  2.0 < t < 2.5

Step-by-step explanation:

  time = distance / speed

The circumference of the lake is given by ...

  C = πd = 2π miles ≈ 6.28 miles

Then Johanna's time is ...

  (6.28 mi)/(3 mi/h) ≈ 2.09 h

This time is in the interval (2, 2.5), so matches choice C.

___

<em>Alternate solution</em>

If we take pi to be 3, then this boils down to ...

  2×3/3 = 2 . . . hours

Pi is on the order of 5% more than 3, so her time will be on the order of 5% more than 2 hours, or just above 2, but not as great as 2.5 hours. This sort of estimating can get you to the correct answer without a calculator.

6 0
3 years ago
Evaluate 3C1.<br><br> a)3<br> b)1<br> c)2<br> d)6
murzikaleks [220]

Answer: Option a) 3

Step-by-step explanation:

The formula for calculating combinations is as follows

nCr = \frac{n!}{r!(n-r)!}

Where "n" is the amount of items in a set and you can choose "r" from them

3C1 reads as: The combination of 1 in 3. You have a set of 3 elements and choose 1 of them.

n = 3\\\\r = 1

So :

3C1=\frac{3!}{1!(3-1)!}\\\\3C1=\frac{3!}{1!*2!}\\\\3C1=\frac{3*2*1}{1*2*1}\\\\3C1=3

5 0
3 years ago
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