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sleet_krkn [62]
2 years ago
12

Point A (-6, 2) and B (4, k) lie on a line that has a slope of 3/5 Determine the value of K

Mathematics
1 answer:
____ [38]2 years ago
8 0

Answer:

k=8

Step-by-step explanation:

We can solve using the slope formula

m= (y2-y1)/(x2-x1)

3/5 = (k-2)/(4- -6)

3/5 = (k-2)/(4+6)

3/5 = (k-2)/10

Multiply each side by 10

10*3/5 = (k-2)/10 *10

6 = k-2

Add 2 to each side

6+2 = k-2+2

8 = k

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I will like to know how to solve this
Alexxandr [17]
This is a linear equation in x.

So you need to group like terms

1 + 4x =  - 5 + 7x
Let us group the x terms on the Right Hand Side of the equation and the constant terms on the Left Hand Side.

1 + 5 = 7x - 4x
We can now simplify

6 = 3x
Now let us divide both sides by 3.

\frac{6}{3}  =  \frac{3x}{3}

This implies that

2 = x
or

x = 2
Let us our answer

1 + 4(2) =  - 5  + 7(2)

1 + 8 =  - 5 + 14
9 = 9
Good we are right
5 0
3 years ago
Read 2 more answers
A geometric sequence is defined by the equation an = (3)3 − n.
Delvig [45]
PART A

The geometric sequence is defined by the equation

a_{n}=3^{3-n}

To find the first three terms, we put n=1,2,3

When n=1,

a_{1}=3^{3-1}

a_{1}=3^{2}

a_{1}=9
When n=2,

a_{2}=3^{3-2}
a_{2}=3^{1}

a_{2}=3

When n=3

a_{3}=3^{3-3}

a_{3}=3^{0}
a_{1}=1
The first three terms are,

9,3,1

PART B

The common ratio can be found using any two consecutive terms.

The common ratio is given by,
r= \frac{a_{2}}{a_{1}}
r = \frac{3}{9}

r = \frac{1}{3}

PART C

To find
a_{11}

We substitute n=11 into the equation of the geometric sequence.

a_{11} = {3}^{3 - 11}

This implies that,

a_{11} = {3}^{ - 8}

a_{11} = \frac{1}{ {3}^{8} }

a_{11}=\frac{1}{6561}
4 0
3 years ago
What is the slope of a line parallel to the line whose equation is 6x - y = 1. Fully
NNADVOKAT [17]


So use -a/b and you get 6x as the slope and the parallel line would have the same slope
4 0
2 years ago
Read 2 more answers
An account earns simple interest. Find the interest earned.
Olegator [25]

Answer:

$36

Step-by-step explanation:

I = prt

I = 480(.015)(5)

I = 36

7 0
2 years ago
Haven't done this inna while just making sure I did it right​
Viefleur [7K]
B is the correct answer
hope it helps!
7 0
3 years ago
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