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3 years ago

Which equation correctly shows how to determine the distance between the points (9, –2) and (6, 3) on a coordinate grid?

Mathematics

2 answers:

aleksley [76]3 years ago

8 0

Answer:

Third option :)

Step-by-step explanation:

nalin [4]3 years ago

4 0

Answer:

The formula for calculate the distance (d) between two points is: Given the points (9,-12) and (6,3), you can identify: Substitute these coordinates into the formula to find the equation that correctly shows how to determine the distance between the given points (9,-12) and (6,3)

Step-by-step explanation:

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6+n/5=9 What is happening to the variable? How do you solve for the variable?

Svetradugi [14.3K]

Answer:

n=15

Step-by-step explanation:

(subtract 6 from both sides of the equation.)

6+n/5=9

6+n/5-6=9-6

(Now you will have to simplify.)

n/5=3

(You will have to multiply all terms by the same value to eliminate fraction denominators.)

n/5=3

5xn/5=5x3

(You will now have to simplify.)

n=15

And that's how you get your answer.

i hope this helps. :)

7 0

3 years ago

Please help me with the Math. Thx in advance! Number's 8-11. THANK YOU!

Stella [2.4K]

8 :=7
9= 2/3
10=3/20
11=4

8 0

3 years ago

Read 2 more answers

Find the point on the parabola y^2 = 4x that is closest to the point (2, 8).

guapka [62]

Answer:

(4, 4)

Step-by-step explanation:

There are a couple of ways to go at this:

Write an expression for the distance from a point on the parabola to the given point, then differentiate that and set the derivative to zero.
Find the equation of a normal line to the parabola that goes through the given point.

1. The distance formula tells us for some point (x, y) on the parabola, the distance d satisfies ...

... d² = (x -2)² +(y -8)² . . . . . . . the y in this equation is a function of x

Differentiating with respect to x and setting dd/dx=0, we have ...

... 2d(dd/dx) = 0 = 2(x -2) +2(y -8)(dy/dx)

We can factor 2 from this to get

... 0 = x -2 +(y -8)(dy/dx)

Differentiating the parabola's equation, we find ...

... 2y(dy/dx) = 4

... dy/dx = 2/y

Substituting for x (=y²/4) and dy/dx into our derivative equation above, we get

... 0 = y²/4 -2 +(y -8)(2/y) = y²/4 -16/y

... 64 = y³ . . . . . . multiply by 4y, add 64

... 4 = y . . . . . . . . cube root

... y²/4 = 16/4 = x = 4

_____

2. The derivative above tells us the slope at point (x, y) on the parabola is ...

... dy/dx = 2/y

Then the slope of the normal line at that point is ...

... -1/(dy/dx) = -y/2

The normal line through the point (2, 8) will have equation (in point-slope form) ...

... y - 8 = (-y/2)(x -2)

Substituting for x using the equation of the parabola, we get

... y - 8 = (-y/2)(y²/4 -2)

Multiplying by 8 gives ...

... 8y -64 = -y³ +8y

... y³ = 64 . . . . subtract 8y, multiply by -1

... y = 4 . . . . . . cube root

... x = y²/4 = 4

The point on the parabola that is closest to the point (2, 8) is (4, 4).

4 0

3 years ago

Need Helpppp as soon as possible

vazorg [7]

Answer:

its a 30% increase

Step-by-step explanation:

If 250 is 100% then you need an increase by 75 to get to 325

250*.3 = 75

75 is 30% of 250

250 + 30% (75) = 325

8 0

3 years ago

Read 2 more answers

The number of electoral votes each state is assigned is determined by the size of its population every ten years. The chart show

sattari [20]

Answer:

D. $Q_3=47$

Step-by-step explanation:

We have been given a table that represents the the number of electoral votes California was assigned each decade of the past century. We are asked to find the 3rd quartile of our given data.

The number of votes are: 9, 13, 13, 22, 25, 32, 40, 45, 47, 54, 55.

We will use upper quartile formula to solve our given problem.

$Q_3=\frac{3}{4}*(n+1)^{\text{th term}}$ , where, n represents the number of elements in the data set.

We can see that our data set has 11 data points, so upon substituting n=11 in above formula we will get,

$Q_3=\frac{3}{4}*(11+1)^{\text{th term}}$

$Q_3=\frac{3}{4}*(12)^{\text{th term}}$

$Q_3=3*3^{\text{th term}}$

$Q_3=9^{\text{th term}}$

Now let us count 9th term of our data set. Upon counting our data set from left to right we can see that 9th term of our data set is 47, therefore, 3rd quartile of our given data is 47 and option D is the correct choice.

3 0

4 years ago

Read 2 more answers