If the slope of the line through points (3 , -2) and (1 , k) is 3/5 , find the value of k

Answers

Answer 1
Answer: Point slope formula is:
(y₂-y₁)=m(x₂-x₁)
(k - (-2) =(3)/(5)(1 - 3)
k + 2 = (3)/(5) (-2)
k + 2 = - (6)/(5)
k = -16/5 = -3 1/5

check:
(-3.2 + 2)/(1 - 3) = (3)/(5)

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Can someone please help me, this is my last question I have been stuck on it for 30 minThe work of a student to solve a set of equations is shown:

Equation A: y = 15 − 2z
Equation B: 2y = 3 − 4z


Step 1: −2(y) = −2(15 − 2z) [Equation A is multiplied by −2.]
2y = 3 − 4z [Equation B]
Step 2: −2y = 15 − 2z [Equation A in Step 1 is simplified.]
2y = 3 − 4z [Equation B]
Step 3: 0 = 18 − 6z [Equations in Step 2 are added.]
Step 4: 6z = 18
Step 5: z = 3


In which step did the student first make an error?
Step1
Step 2
Step 3
Step 4

Answers

step 2
he didn't distribute
what he did:
-2(15-2z)=15-2z
that is obviously false

what should have happened is
-2(15-2z)=-30+4z
then add

-2y=-30+4z
2y=4-4z
0=-26
false
no solution
inconsitient, these lines ar paralell


anyway, step 2 is error
The mistake was made in step 2.  In simplifying the equation, he has to distribute the -2 through the parentheses.  Step 2 simplification should be

-2y = -30 + 4z

When the 2 equations are added, the resultant equation is 0 = -27 therefore it has no solution. 

How do solve 4v-13-10v=12-24v+5

Answers

You get all the v's on one side by adding 24v to both sides
4v-13-10v = 12-24v +5
+24v +24v
And then you would get
4v-13-10v+24v = 12+5
Then combine like terms
18v-13=17
Then you would get v alone by adding 13 to both sides
18v-13= 17
+13 +13
That would give you
18v=30
Then divide both sides by 18 to get your final answer
18v = 30
/18 /18
Your final answer is...
V=1.66

Answer: 1.67

Step-by-step explanation:

Collect the like terms.

4v-10v+24v = 12+5+13

This gives:

-6v+24v = 30

This gives:

18v =30

Divide both sides by 18

v = 30/18

v = 1.67

The equation s x  2 5 can be used to estimate the speed, s, of a car in miles per hour, given the length in feet, x, of the tire marks it leaves on the ground. A car traveling 90 miles per hour came to a sudden stop. According to the equation, how long would the tire marks be for this car?

Answers

Answer:

Solve using the information below.

Step-by-step explanation:

So try, to multiple the one of the answer by the 5 and then 2 to the square root (sign) times that product of the answer choice times five and then divide it with s aka 90


find the area of a square that has sides length 96 inches


If k is non zero digit for which base of k is the sum, 1+kk=100 true?

Answers

no, i don't think it's true

How to write g(x)=2x+3/x+1 in the form of:g(x)=a/x+p +q

Answers

Hello,

Please write correctly.

g(x)= (2x+3)/(x+1) to be written like a/(x+p) + q

It is very simple!

(2x+3)/(x+1)= [(2x+2)+1]/(x+1)= (2(x+1)+1)/(x+1)= 2+1/(x+1)


Tanya bought three adult tickets and one children's ticket to a movie for 24.60 Li bought five adult tickets and four children's tickets for 50.10 . Find the cost of one adult ticket and the cost of one children's ticket.

Answers

Answer:

adult tickets  6.9

children tickets  3.9

Step-by-step explanation:

3x + y = 24.60    L1

5x + 4y = 50.10  L2

5L1 - 3L2

15x +  5y = 123

-15x - 12y = -150.3

-7y = -27,3

y = -27,3/-7

y = 3.9

3x + y = 24.60

3x + 3.9 = 24.60

3x = 24.60 - 3.9

3x = 20.7

x = 20.7 / 3

x = 6.9