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DIA [1.3K]
2 years ago
8

Write the equation of the line in point-slope form of the given point and slope. This is an essay style question. If you hit the

equation button aboveequationit will allow you to type in fractions. (7,-2) m=LaTeX: \frac{3}{7}
Mathematics
1 answer:
svp [43]2 years ago
3 0

Answer:

<h3>y + 2 = 3/7(x-7)</h3>

Step-by-step explanation:

The point-slope form of the equation will be expressed as;

y - y0 = m(x-x0) where;

m is the slope

(x0, y0) is the point on the line

Given

Slope m = 3/7

Point (x0, y0) = (7, -2)

Substitute into the equation;

y - y0 = m(x-x0)

y - (-2) = 3/7 (x - 7)

<em>y + 2 = 3/7(x-7)</em>

<em>Hence the equation in point-slope form is y + 2 = 3/7(x-7)</em>

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Suppose a circle with center (14,9) passes through point (16, 12). Which equation represents the circle?
kifflom [539]

Answer:

( x - 14)^2 + ( y - 9)^2 = 13

Step-by-step explanation:

The equation of the circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( 14 , 9) - center-( a, b)

a = 14

b = 9

( 16 , 12) - point - ( x, y)

x = 16

y = 12

Step 1: substitute the center into the equation

( x - 14)^2 + ( y - 9)^2 = r^2

Step 2: substitute the point into the equation

( x - 14)^2 +( y - 9)^2 = r^2

( 16 - 14)^2 + ( 12 - 9)^2 = r^2

2^2 + 3^2 = r^2

4 + 9 = r^2

13 = r^2

Step 3: subs the radius into the equation

( x - 14)^2 + ( y - 9)^2 = r^2

( x - 14)^2 + (y - 9)^2 = 13

Therefore, the equation of the circle is

( x - 14)^2 + ( y - 9)^2 = 13

8 0
3 years ago
Which expression is equivalent to 5 (w 4) when w = 9? 5 (9) 9 (5) 5 (9) 4 5 (9) 20.
pogonyaev

Expression consists of numbers, variables, and mathematical operations. The expression f(w)=5(w+4) is equal to f(9)=5(9)+20.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression is given to you is,

f(w)= 5(w+4)

Now, if we solve the expression it can be written as,

f(w)=5w+20

substituting the value of w, we will get,

f(9)=5(9)+20

Hence, the expression f(w)=5(w+4) is equal to f(9)=5(9)+20.

Learn more about Expression:

brainly.com/question/13947055

6 0
2 years ago
Find the area of a square if it’s sides measure 2+2/3<br>URGENT
Anon25 [30]

Answer:

1.33333333333

Step-by-step explanation:

because length times with

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2 years ago
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The school librarian has $100 to spend on some books for the school. She wants to order many copies of the same book so an entir
Alenkasestr [34]
She will get 23 books.
So, first, you take the shipping away to get $93.05, 
then you divide $93.05 by $3.95 which equals 23.55
and you can't have half a book; so it's 23!
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2 years ago
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What are the factors for the expression 4x^2-5x-9
vagabundo [1.1K]

Answer:

4x^2 and 5x or 4 and 5, not sure how it goes, but it's for sure 4 and 5

Step-by-step explanation:

a factor is something which is multiplied by something else soooo I'd say it's 4x^2 and 5x because they are supposed to be multiplied by whatever x is

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3 years ago
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