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Vlad [161]
3 years ago
6

Write an equation of the line that passes through the given point and has the given slope. (1,-5); slope: - 2/3 SLOPE INTERCEPT

FORM​
Mathematics
1 answer:
Elenna [48]3 years ago
8 0

Answer:

y  =   -\frac{2}{3} x -  -\frac{13}{3}

Step-by-step explanation:

Given dimensions:

   Slope  = -\frac{2}{3}  

  Coordinates  = (1, -5)

Now;

 Equation of the line through the given points;

   

Solution:

 The equation of a line is given as;

          y  = mx + c

x and y are the coordinates

m is the slope

c is the intercept

 So;

  let us find the y-intercept;

           -5  =  -\frac{2}{3}   x 1 + C

             c  = -5 + \frac{2}{3}  = -\frac{13}{3}

The equation of the line is ;

  y  =   -\frac{2}{3} x -  -\frac{13}{3}

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(-4) X(-6) what’s the answer
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Answer:

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Step-by-step explanation:

because negative times negative is positive

3 0
4 years ago
What is the sum of a geometric series Sn=a+ar+ar2+ar3+…+arn-2+arn-1?
algol13

Answer:

Sn= \frac{a(1-r^n)}{1-r}

Step-by-step explanation:

A geometric sequence is a sequence such that any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r. The common ratio (r) is obtained by dividing any term by the preceding term.

from the given expression

the given data are

first term a1= a

second term a2= ar

third term a3= ar^2

the common ratio  is expressed as r=\frac{a2}{a1}= \frac{ar}{a} = r

Sum of Terms in a Geometric Progression

Finding the sum of terms in a geometric progression is easily obtained by applying the formulas:

Sn= \frac{a1(1-r^n)}{1-r}

nth partial sum of a geometric sequence substituting the values of a1=a and the common ratio= r we have

Sn= \frac{a(1-r^n)}{1-r}

4 0
3 years ago
Two number differ by 3 The sum of their reciporcal is 7/10 find tge numbers
motikmotik
The numbers are 5 and 2.

Reciprocals: 5- 5/10
                     2- 2/10
(2/10)+(5/10)= 7/10
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Answer: 5 and 2
6 0
3 years ago
Read 2 more answers
A small swimming pool has a circumference of 3π feet. Select the true statement about the pool.
Svetradugi [14.3K]

Answer:

The answer to your question is the letter B. the diameter = 3 ft

Step-by-step explanation:

Data

Circumference = 3π feet

The Circumference is defined as the distance around the edge of a circle.

Formula

Circumference = 2πr

Process

1.- Equal the value of the circumference to the formula

             2πr = 3π

2.- Solve for r

                 r = 3π / 2π

3.- Simplification

                 r = 3/2 or 1.5 ft

4.- Calculate the diameter

     diameter = 2 x radius

     diameter = 2(1.5)

                    = 3 ft

6 0
3 years ago
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