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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:

Step-by-step explanation:

We have the polynomial

16n^3+13n^2+7n-10   ( 1 )

To solve this problem we have to take into account that only we can sum term with the same order in the variable. We have the polynomials

8n_{3}-5n+11n^{2}-5\\7n^2 + 8n - n^3 + 2\\15n^2 - 10n + 3n^3 - 4\\2n^2 + 12n - 5 + 8n^3

we can note (by summing term by term) that only the sum of the first and the fourth equation correspond to the given polynomial ( 1 ) of the problem. If we organize these polynomials (that is, write the equation down in a form where higher order appears first ) we have

8n^3 +11n^2 - 5n  - 5\\ 8n^3+2n^2 + 12n - 5\\

and if we sum we obtain

16n^3+13n^2+7n-10

that is what we was looking for

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2 years ago
A survey showed that 82​% of adults need correction​ (eyeglasses, contacts,​ surgery, etc.) for their eyesight. If 12 adults are
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Answer:

The amount of rubbery jello=5.038 ounce

Dried fish stick = 4.886 ounce

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Step-by-step explanation:

Solutions/Explanation: (a) Suppose the amount of rubbery jello = x ounce,  

The dried fish sticks amount to be = y ounce  

The amount of mystery meat = ounce.

Specification of the ingredients

Rubbery jello has: Calories=10 Cal/ounce, Protien=1 gram/ounce, Vitamin C= 30 mg/ounce

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Mystery meat: Calories=200 Cal/ounce, Protien=0.2 gram/ounce, Vitamin C=0 mg/ounce,

Now,  

Total calories = 600.  

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The, total Protien = 20 g.  

Thus,

x+3y+0.2z=20 \quad\Idot (2)

also, total Vitamin C = .

Thus,

30x+10y+0z=200 \quad\Idot (3)

Therefore,

1, 2 and 3 are the mathematical models of the dietician's problem with a system of three linear equations.

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10x+50y+200z=600

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x+3y+0.2z=20 \quad\Idot (5)

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Now, subtract eqn 4 from eqn 7

99x+295y=1940 \quad\Idot (8)

Now, multiplying eqn 6 by 295. we have,

885x+295y=5900 \quad\Idot (9)

Now, subtract, eqn 8 from eqn 9, we get,

786x=3960

x=\frac{3960}{786}

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y=4.886 \quad\Idot (11)

Now, substitute eqn 10 and 11 into eqn 4, we have

z=1.526

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3 years ago
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