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Lunna [17]
3 years ago
14

Find the midpoint of the line segment joining points A and B. A(2, - 5); B(4,1)

Mathematics
1 answer:
Nookie1986 [14]3 years ago
6 0

Answer:

(3, -2)

Step-by-step explanation:

Find the midpoint coordinates (x, y) of points A(2, - 5) and  B(4, 1)

x-coordinate of the midpoint is (2+4)/2 = 6/2= 3

y-coordinate of the midpoint is (-5+1)/2 = -4/2= -2

The mid point coordinates are (3, -2)

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Mrrafil [7]

The equation of line is y = 92x – 182631. The slope is 92 and the y-intercept is the negative 182631. And the health expenditure in 2010 will be 2289.

<h3>What is the equation of a line passing through two points?</h3>

Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by

\rm (y - y_1) = \left [ \dfrac{y_2 - y_1}{x_2 - x_1} \right ] (x -x_1)

In MODE, (second line), fix the number of decimal places to be 2.

Then the slope and the y-intercept values of the Lin Reg line will round to the nearest hundredth.

(x₁, y₁) → (1997, 1093)

(x₂, y₂) → (2002, 1553)

Then we have

y – 1093 = [(1553 – 1093) / (2002 – 1997)] (x – 1997)

y – 1093 = [460  / 5] (x – 1997)

y – 1093 = 92 (x – 1997)

           y = 92x – 182631

If x = 2010, then the value of y will be

y = 92 × 2010 – 182631

y = 184920 – 192631

y = 2289

Learn more about straight-line equations here:

brainly.com/question/380976

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6 0
2 years ago
now find the components nx and ny of n⃗ in the tilted coordinate system of part b. express your answer in terms of the length of
saw5 [17]

The components are Nx= Ncosθ  and Ny= -Nsinθ

<h3>What is a Vector?</h3>

We know that the vector quantities are those quantities that have magnitude as well as direction.

Each vector quantity can be divided into two parts a horizontal and vertical component, the vertical component is known as the sine component while the horizontal component is known as the cosine component.

A vector component is the product of its length and the component angle.

Generally, F sinθ is the vertical component and F cosθ is the horizontal component,

Now, from the diagram the horizontal component of vector 'r' is

Nx= Ncosθ

and, the vertical component will be

Ny= -Nsinθ

this is in the opposite direction

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brainly.com/question/1600633

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7 0
2 years ago
Solve x3 = 1 over 8. <br> 1 over 2 <br> ±1 over 2 <br> 1 over 4 <br> ±1 over 4
cricket20 [7]
X³ =  1/8

Take the cube root of both sides.

∛x³  = ∛(1/8)

Since x³ has 3 of such x multiplying each other so we bring out 1 of the x from the cube root sign as discussed.

x = ∛((1/2)*(1/2)*(1/2))

We bring out 1 of the (1/2) out of the cube root sign as well.

x = 1/2

So the answer is the first option.  1 over 2.

I hope this helps.
7 0
3 years ago
Please find the circumference, will give brainliest!
stich3 [128]

Answer:

43.96

Step-by-step explanation:

7 0
2 years ago
What is the standard error of a sampling distribution with a population standard deviation of 12 and the sample size of 81?
Marizza181 [45]

Answer: d. 1.3333

Step-by-step explanation:

We know that the standard error of a sampling distribution is given by :-

S.E.=\dfrac{\sigma}{\sqrt{n}}

, where \sigma = Population standard deviation.

n= Sample size.

AS per given , we have

\sigma =12

n=81

Then, the standard error of a sampling distribution with a population standard deviation of 12 and the sample size of 81 will be :-

S.E.=\dfrac{12}{\sqrt{81}}

=\dfrac{12}{\sqrt{9^2}}=\dfrac{12}{9}\\\\=\dfrac{4}{3}\\\\\approx1.3333

Hence, the standard error of a sampling distribution with a population standard deviation of 12 and the sample size of 81 is 1.3333.

Thus the correct answer is d. 1.3333 .

6 0
3 years ago
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