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masya89 [10]
4 years ago
12

Need Help Asap). A line goes through the points (8,9) and ( -2,4). A) what is the slope of the line? Show your work. B) Write th

e equation of the line in point -slope form. Show your work. C) Write the equation of the line in slope-intercept form. Show your work. ( Brainliest Answer and please be honest with your response). Thank You.​
Mathematics
1 answer:
lianna [129]4 years ago
7 0

A)

slope =  \frac{1}{2} \\

_________________________________

B)

y - 4 =  \frac{1}{2}(x + 2) \\

Or

y - 9 =  \frac{1}{2}(x - 8) \\

_________________________________

C)

y =  \frac{1}{2}x + 5 \\

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How do I solve this problem? ​
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Step-by-step explanation:

you know the formulas ?

the area of a circle is : pi×r²

the circumference of a circle is : 2×pi×r

with r being the radius, which is half of the diameter.

so, here, r = 10/2 = 5 m

area = pi×r² = pi×5² = pi×25 or 25×pi m²

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Tim must read 2 books from a list of 7 recommended books for his summer reading program. In how many different ways can Tim choo
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There are 21 ways Tim choose 2 books from the 7 recommended book

<em><u>Solution:</u></em>

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

<em><u>The formula for combinations is:</u></em>

n C_{r}=\frac{n !}{r !(n-r) !}

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

<em><u>Substituting values in above formula, we get</u></em>

\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}

For a number n, the factorial of n can be written as,

n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1

Therefore, we get

7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21

Thus there are 21 ways Tim choose 2 books from the 7 recommended book

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