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2 years ago

D the length of a line segments with the following endpoints. (2,5) (5,9)

Mathematics

1 answer:

Veseljchak [2.6K]2 years ago

5 0

Answer:

The length of this line is of 5 units.

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, $(x_1,y_1)$ and $(x_2,y_2)$ . The distance between them is given by:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

In this question:

The length of the line is the distance between these two points. So

$d = \sqrt{(5-2)^2 + (9-5)^2} = \sqrt{3^2+4^2} = \sqrt{25} = 5$

The length of this line is of 5 units.

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Maru [420]

First, we have to understand the slope-intercept form.

$\large \boxed{y = mx + b}$

A linear function/equation has three forms and the slope-intercept is one of the form. It is also commonly used in Function topic while the other two forms are commonly used in Analytic Geometry.

In the slope-intercept form, the m-term represents the slope while b-term represents the y-intercept of a graph.

Which equation represents a linear function that has a slope of 5 and a y-intercept of -6.

As you notice the bold, italic and underlined words in the question that I quoted or rewrote. I've just explained that the slope is m-term and y-intercept is b-term.

Therefore, substitute m = 5 and b = -6 in the equation.

$\large{y = mx + b \longrightarrow \bold{y = 5x + ( - 6)}} \\ \large \boxed{ \tt{ \purple{y = 5x - 6}}}$

I hope this helps! Let me know if you have any questions regarding the linear function, don't hestitate to ask. Good luck with your assignment and have a nice day!

5 0

2 years ago

if an amount of $5,000 is deposited into a savings account at an annual interest rate of 5%, compounded monthly, what is the val

Ugo [173]

Answer:

$8,240

Step-by-step explanation:

We are given that,

Principle amount in the savings account, P = $5,000.

Rate of interest, r = 5% = 0.05

Time period, t = 10

Also, the interest is compounded monthly, n = 12

As, we now that the value of the investment is given by $P(1+\frac{r}{n})^{nt}$

Thus, we have,

Investment Value = $5000(1+\frac{0.05}{12})^{12\times 10}$

i.e. Investment Value = $5000(1+\frac{0.05}{12})^{12\times 10}$

i.e. Investment Value = $5000(1+0.00417)^{120}$

i.e. Investment Value = $5000\times 1.648$

i.e. Investment Value = $8,240

Hence, the investment amount after 10 years is $8,240.

5 0

2 years ago

Write all the factors of 21 Use commas to separate them.

Hatshy [7]

Answer:

1, 3, 7, 21

Step-by-step explanation:

1, 3, 7, 21

(The bolded is one factor and the other that is not bolded is another factor)

1 times 21 is 21

3 times 7 is 21

7 0

2 years ago

Which line is the line of reflection? A. a B. b C. c D. d

Leto [7]

The line of reflection is b

You can see it much easier if take away all the clutter. Redraw the diagram and take way a d and especially c.

You should be left with only line b and the two triangles. You can see it much easier if you do that. Then just look at the parallel lines of the triangles. They are right across from each other.

6 0

2 years ago

Read 2 more answers

Whats the product of the 6th and the 3rd square number

Ivanshal [37]

Answer:

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Step-by-step explanation:

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3 years ago

D the length of a line segments with the following endpoints. (2,5) (5,9)​

D the length of a line segments with the following endpoints. (2,5) (5,9)