a line with the slope of -3 passes through (-8, p) and (2, 3p). Find the value of p

Answers

Answer 1

Answer:

To find the Slope: Slope Formula: m = y2 −y1 x2 −x1. Given points: P (6,2) and S(3,1) will be our (x1,y1) and (x2,y2) respectively. Hence x1 = 6,y1 = 2,x2 = 3,y2 = 1. Slope(m) = 1 −2 3 −6. ⇒ −1 −3 = 1 3.

Step-by-step explanation:

Answer 2

Answer:

p = -15

Step-by-step explanation:

[tex]-3=\frac{3p-p}{2-(-8)} =\frac{2p}{10}[/tex]

[tex]\frac{2p}{10} =-3[/tex]

[tex]2p=-3(10)[/tex]

[tex]p=\frac{-30}{2}[/tex]

[tex]p=-15[/tex]

[tex]m=\frac{-45-(-15)}{2-(-8)} =\frac{-45+15}{2+8} =\frac{-30}{10} =-3[/tex]

I hope this help you


Related Questions

Solve 3x^2+ 5 = 2 using square roots

Answers

Answer:

[tex]x=\pm i[/tex]

Step-by-step explanation:

[tex]3x^2+5=2[/tex]

[tex]3x^2=-3[/tex]

[tex]x^2=-1[/tex]

[tex]x=\pm i[/tex]

What equation in Slope-Intercept Form represents the line that passes through the points ( -3,3) and ( 1,2)?

Answers

y=-1/4x+9/4 is the answer

Johnny is saving money to buy a Nintendo Switch. He already has $100 saved. He plans to save $20 from his allowance each week. Write the equation that represents the total savings, y, in terms of x weeks. What is Johnny's total savings after 8 weeks?

Answers

Answer:

1. y=20x+100(this is the equation)

2. 260(this is how much he has after 8 weeks)

Step-by-step explanation:

Saving is the remaining money after all the expenditure. Thus, Johnny's total savings after 8 weeks will be $[tex]260[/tex].

Johnny is saving money to buy a Nintendo Switch.

He already saved the amount of $100.

He plans to save from his allowance each week is $20

The equation that represents the total savings is mentioned below.

[tex]y=20x+100[/tex]

Therefore, Substitute the values and solve them further.

[tex]y= (20\times 8) + 100[/tex]

[tex]y= 260[/tex]

Hence, Johnny's total savings after 8 weeks will be $[tex]260[/tex]

For more details refer to the link given below:

https://brainly.com/question/7965246

#2
Are the following triangles similar?
Please help!!

Answers

Answer:

Yes

Because

[tex] \frac{pn}{kr} = \frac{pt}{kg} = \frac{tn}{gr} = \frac{1}{2} [/tex]

Also all angles are equal

Answer:

Yes

Step-by-step explanation:

Angle are equal and the ratio of the sides is 2:1.

Complete the following tables by filling in the missing values and determine the rule for each table:

Answers

i can’t do the c part.

I need help Please!!!!!!!!!!!!!!!!!!!!!!! I will give brain to who ever gets it right

Answers

Answer: i think its all of them are 5

Step-by-step explanation: sorry if im wrong

The sum of two numbers is 70, and their difference 30. Find the two numbers using the process of substitution. Let the first umber = x and the second number = y.

Answers

Answer:

x = 50, y = 20.

Step-by-step explanation:

x + y = 70

x - y = 30

From the second equation x = 30 + y, so substituting this in the first equation:

30 + y + y = 70

2y = 70 - 30 = 40

y = 20

and x - 20 = 30

so x = 50.

Answer:

20 , 50

Step-by-step explanation:

The sum of two numbers is 70 ⇒ x + y = 70  -------------(I)

x = 70 - y  

Their difference 30 ⇒ x - y = 30  ----------(II)

Substitute x = 70 - y in equation (II)

70 - y - y = 30

Combine like terms

70 - 2y = 30

     -2y = 30 - 70

      -2y = -40

Divide both sides by (-2)

y = -40/-2

x = 20

Substitute the value of x in (I)

20 + y = 70

y = 70 - 20

y  = 50

Here is a list of numbers:
8.4, 8.6, 7, 7.6, 2.4, 9.7, 5.8, 5.2, 3.3
State the median.

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

arrange the numbers in the other of magnitude

:

2.4,3.3,5.2,5.8,7,7.6,8.4,8.6,9.7

then check for the middle number(s)

median = 7

Work out 1.6 X 10⁴ + 0.8 X 10⁴.

math work

Answers

Answer:

2.4× 10^4

Step-by-step explanation:

you just sum 1.6 with 0.8

[tex]2.4 \times {10}^{4} [/tex]

−3x+9−2x=−12−5x infinitely,no solutions,one solution

Answers

Answer:

No solution

Step-by-step explanation:

Each side of the equation,once distributed, has 5x.

The 5x's cancel out to x= x-5

Which is incorrect and has no solution.

What is the solution to the equation? ^5 /x+ 7= -2

Answers

Answer:

x=19/2

Step-by-step explanation:

5/x+7=-2

5=-2(x+7)

5=-2x-14

5+14=-2x

19=-2x

Therefore

2x=-19

x=19/2

I need help with this can you show me how to work it out pls

Answers

Answer:

Answer is in the pic

Step-by-step explanation:

A translation is just a movement of the figure so in this case you just add 3 to the x part of the coordinate.

so originally k (-2,5)    m (-3,1)      l (1,1)

add 3 to x so

k (1,5)   m (0,1)   l (4,1)

Hello if you answer this question i will post another question giving 100 points

Answers

Answer:

ok?

Step-by-step explanation:

Brainliest?

Answer:

what's your question even-

Find the y intercept for the equation of the line that passes through point (-1 , 5)if the slope is 5

Answers

Answer:

the y-intercept is 10

Step-by-step explanation:

Use number line to compare the numbers
0 and - 60
Which shows the correct symbol to compare the numbers?
=
>

Answers

Answer:

0 > -60

Step-by-step explanation:

Every negative number is less than 0

In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.

1. What is the total number of pupils who study Government?
2. How many pupils study only Government?
3. How many pupils study only Economics?

Please try as much as possible to explain your answers.

Answers

Answer:

19

Step-by-step explanation:

(48 - 23) + 6 = 31

23 - 6 = 17

(48 - 23) -6 = 19

The answer for (1) is 31, the answer for (2) is 25, and the answer for (3) is 17.

What is the Venn diagram?

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

It is given that:

In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.

Based on the information we can draw a Venn diagram:

From the Venn diagram:

A + B = 17 + 6

A + B = 23

B = 6

A + B + C = 48

A = 23 - 6 = 17

C = 48 - 17 - 6

C = 25

The total number of pupils who only study Government = 25

The total number of pupils who study Government = 25 + 6 = 31

The total number of pupils who study Economics only = 17

Thus, the answer for (1) is 31, the answer for (2) is 25, and the answer for (3) is 17.

Learn more about the Venn diagram here:

brainly.com/question/1024798

#SPJ2

Brainiest?!?! Please help me I'm running out of time??​

Answers

Because if x is greater than y, then x-y wouldn’t be below 0 like it’s shown, so x must be less than y.

And if x is less than y, any negative y would mean x is negative as well since it’s always less than y. And as shown, x+y is positive so it’s impossible for y to be negative.

The length of a rectangle is 2x + 6. Its width is 52. Find the value of ac if the perimeter is 138m².

Answers

Answer:

ac = 18.5

Step-by-step explanation:

perimeter of a rectangle =  [tex]2(l+b)[/tex]

= 138m^2= 2(2x + 6 ) + 52

= 4x + 12 + 52 = 138  

= 4x + 64 = 138

= 4x = 138 - 64

= 4x = 74

= x =  74/4

= x = 18.5

4.51 - 2.7 MARKING BRAINLIEST AND PLEASE EXPLAIN:)

Answers

Answer:

1.81

Step-by-step explanation:

becase 4.51 -2.7 equls 1.81 its kinda simple

Answer:

Answer is 1.81

Step-by-step explanation:

The way you get this is by subtracting normally.⤵⤵⤵

[tex] \: \: \: \: 4.51 \\ \frac{ - 2.70}{} [/tex]

1 - 0 = 1

Since you can't subtract 7 from 5 you have to carry over from the next number (4). Take from 4, that leaves 3 in its place, and now you got an extra 1, so you can subtract 7 from 15 to get 8. Now subtract 2 from that 3 to get 1. That's how you get the answer 1.81 .

It's basically a normal subtraction problem, you just have to Remember to put the decimal point in the right place.

Hope this helped :)

If f(x)= 3x-2 find x if f(x)= 19

Answers

Answer:

x=6

Step-by-step explanation:

3(6)+1=18+1=19.

if M is a multiple of 3 and 7 then it is a multiple of 21

Answers

Answer:

It will be true , it is a multiple of 21

Is light respiration beneficial or harmful to plants?

Answers

Answer: Even thought it’s the ultimate substrate it can be harmful to plants

Step-by-step explanation: it also reduces glucose for cellular respiration

help with the geometry pls and thx​

Answers

Answer:

1. p->q

2. p<->q

3. :.p^q

Step-by-step explanation:

I hope this will help you

help me

The fire department is setting off fireworks. They notice that the casings of the fireworks hit the ground 78 seconds after the firework was launched. The firework exploded at a maximum height of 760.5 meters.

Identify how you see the x- and y-intercepts and vertex in the table, graph, and equation. (Hint: You may want to rewrite the equation in equivalent forms.)

Answers

The firework is an illustration of the equation of a parabola.

The x-intercepts are 0 and 78, the y-intercept is 0, and the vertex is (39,760.5)

The casings hit the ground after 78 seconds.

This means that, a point on the graph is:

[tex]\mathbf{(x,y) = (78,0)}[/tex]

The firework exploded at a maximum of 760.5.

This means that, the vertex is:

[tex]\mathbf{(h,k) = (39,760.5)}[/tex]

The equation of a parabola is:

[tex]\mathbf{y = a(x - h)^2 + k}[/tex]

So, we have:

[tex]\mathbf{0 = a(78 - 39)^2 + 760.5}[/tex]

[tex]\mathbf{0 = a(39)^2 + 760.5}[/tex]

Subtract 760.5 from both sides

[tex]\mathbf{a(39)^2 =- 760.5}[/tex]

[tex]\mathbf{1521a =- 760.5}[/tex]

Solve for a

[tex]\mathbf{a =- \frac{760.5}{1521}}[/tex]

[tex]\mathbf{a =- 0.5}[/tex]

Substitute [tex]\mathbf{a =- 0.5}[/tex] and [tex]\mathbf{(h,k) = (39,760.5)}[/tex] in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]

[tex]\mathbf{y = -0.5(x - 39)^2 + 760.5}[/tex]

See attachment for the graph of [tex]\mathbf{y = -0.5(x - 39)^2 + 760.5}[/tex].

From the graph:

The x and y intercepts are the points where the graph crosses the x and y axes. The vertex is the maximum point on the graph

From the equation:

Set x to 0, to calculate the value of y for the y-interceptSet y to 0, to calculate the value of x for the x-intercept.The vertex is represented as: (h,k)

Hence, the x-intercepts are 0 and 78, the y-intercept is 0, and the vertex is (39,760.5)

Read more about parabolas at:

https://brainly.com/question/5430838

how to do precentiges

Answers

what’s the question i’ll try answer for u

The sum of the first n terms of a sequence is Sn = n(n + 1)(n + 2).
What is the 4th term of the sequence?
O 48
O 120
O 60
O 396

Answers

Answer:

60

Step-by-step explanation:

S₄ = 4(4+1)(4+2) = 120

S₃ = 3(3+1)(3+2) = 60

4th term = 120-60=60

pls help
Given the first term and the common difference of an arithmetic sequence, find the
explicit formula, then find the term named in the problem.

Answers

Answer:

Step-by-step explanation:

an (the nth term ) = a1 + d(n - 1)

=  6 + 3(n - 1).

a17 = 6 + 3(17-1)

= 6 + 48

= 54.

What type of angles are these?
Vertical angles
Complementary angles
Adjacent angles
Supplementary angles
Linear pair

Answers

Answer:

adjacent angle

Step-by-step explanation:

a linear pair =180 so not it

supplementary and complementary can't be it either due to neither being right angles

not a vertical angle

right next to each other with a common line to connect them so adjacent angle

Please help me on these :(

Answers

Step-by-step explanation:

8) 125=x+90° (exterior angle= sum of two opposite interior angle)

x= 35°

9) y=80° ( vertically opposite angle)

x= 180-50-80= 50°.

hope this helps you.

A line passes through point A(12,18). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

Answers

Answer:

the answer is Y = -1.5x + 36

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