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iren2701 [21]
3 years ago
15

If point A is located at (-9, 2) on a coordinate plane, and point B is located at (-9, 10), what is the distance between the two

points?
Mathematics
1 answer:
JulsSmile [24]3 years ago
6 0
ANSWER

8 units.

EXPLANATION

The first point, A is located at (-9,2) on the coordinate plane.

The second point, B is also located at (-9,10) on the coordinate plane.

You should be smart and observe that the x-coordinates of both points are the same. This means that, the two points lies on a vertical line.

Hence it will be faster to use the absolute value method rather than the distance formula.

According to this method, you only have to find the absolute value of the difference in the y-values.

|AB|=|10-2|

|AB|= |8| = 8units
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Answer:

The solution is given below

Step-by-step explanation:

The preparation of the post closing trial balance is given below

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Cash                          $3,820

Account receivable  $4,040

Supplies                    $490

Account payable                                         $1,800

Unearned service revenue                         $180

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B is the correct answer
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A rectangular football field is 64 m wide and 100 m long a player runs from one corner of the field in a diagonal line to the op
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118.7 m

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Diana is buying plates and cups for a party. She wants the same number of each. Plates are sold in packs of eight and cups are s
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Answer:

What is the least number of plates and cups she can buy?

The least number of cups of plates and cups she can buy is 24

How many packs of plates?

3 packs of plates

How many packs of cups?

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Step-by-step explanation:

What is the least number of plates and cups she can buy?

We solve this using the Lowest Common Multiple method

The L.C.M of 8 and 12

Multiples of 8: 8, 16, 24, 32, 40

Multiples of 12: 12, 24, 36, 48

Therefore,

LCM(8, 12) = 24

Hence, the least number of cups and plates she can buy is 24

How many packs of plates?

Plates are sold in packs of eight

Hence: 24 ÷ 8 = 3 packs of plates

How many packs of cups?

Cups are sold in packs of 12

Hence: 24 ÷ 12 = 2 packs of cups

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3 years ago
Find, corrrect to the nearest degree, the three angles of the triangle with the given vertices. A(1,0), B(3,6), C(-1,4)
Karo-lina-s [1.5K]

Answer:

45°, 45°, 90°

Step-by-step explanation:

Find the vectors to represent each sides

AB =<3-1, 6-0>=<2,6>  

AC = < -1-1, 4 - 0 > = < -2, 4>

Magnitude of the vectors

AB = √(2²+6²) = 6.32

AC = √ ((-2)² + 4²) = 4.47

cosθ = vector of AB × vector AC / ( Product of the magnitude of AB and AC) = 2 × (-2) + (6×4)/ (6.32×4.47) = 20 / 28.2504

θ = arcos(20 / 28.2504 ) approx = 45°

Magnitude of the vectors

BA =<1-3,0-6>=<-2,-6>

BC =<-1-3,4-6>=<-4,-2>

Magnitude of the vectors equals

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BC = √((-4)² + (-2)²) = 4.4721

cosθ = (-2×-4) + (-6 ×-2) / (6.325 × 4.4721) = 20 / 28.286

θ  = arcos (20 / 28.286 ) = 45°

Magnitude of the vectors

CB =<3--1, 6-4>=<4,2>

CA=<1--1,0-4>=<2,-4>

Magnitude of the vector =

CB = √(4² + 2²) = 4.4721

CA = √(2² + (-4)²) = 4.4721

cosθ = (4×2) + (2×-4) / (4.4721×4.4721) = 0

θ = arcos 0 = 90°

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