. Write the equation of a line passing through the points (3,-1) and (6,7).
(Hint - Use the Calculator)

Answers

Answer 1

Step-by-step explanation:

the most usual firm of line equation is

y = ax + b

a is the slope of the line and is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-interception (the bake of y when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.

the slope a :

x changes by +3 (from 3 to 6)

y changes by +8 (from -1 to 7)

so, the slope is +8/+3 = 8/3

our line equation now looks like

y = (8/3)x + b

let's simply use the first point

-1 = (8/3)×3 + b

-1 = 24/3 + b = 8 + b

-9 = b

and the full line equation is

y = (8/3)x - 9


Related Questions

What does the degree of the polynomial tell you.

Answers

A degree in a polynomial function is the greatest exponent of that equation, which determines the most number of solutions that a function could have and the most number of times a function will cross the x-axis when graphed.

100 points if u get this right ty bye now!

Answers

Answer:

4 mi²

Step-by-step explanation:

Area of Square: Length x Length

=> Area of Square: 2 x 2

=> Area of Square: 4 mi²

Therefore, the area of the square is 4 mi².

Hoped this helped

Answer:

4 mi²

Step-by-step explanation:

Area of Square: Length x Length

=> Area of Square: 2 x 2

=> Area of Square: 4 mi²

Therefore, the area of the square is 4 mi².

MP Construct Arguments Raul finds a way to divide
48 building blocks into 6 equal groups. Jerry finds a
way to divide 48 building blocks into 8 equal groups.
Whose way has the greater number of building blocks
in each group? Explain.

Answers

Answer:

Raul

Step-by-step explanation:

Since 8 groups of building blocks has a smaller amount than 6 equal groups of building blocks, so Raul has more blocks in each group

What is the second step in solving the equation
slm
+7= 5?
Subtract 7 from each side.
Divide each side by 3.
Add 7 to each side.ch
O Multiply each side by 3.

Answers

Answer:

subtract 7 from each side

Step-by-step explanation:

Answer:

Subtract 7 from each side.

Step-by-step explanation:

x+7 = 5x+7-7 = 5-7x = -2

Laura is saving to buy a 10-speed bike that costs $189. For four weeks she saved part of her check in the amounts of $15, $39, $18 and $27. How much more does she need?​

Answers

Answer:

90$

Step-by-step explanation:

Answer:

$90

Step-by-step explanation:

$15 + $39 + $18 + $27 = $99

$189 - $99 = $90

Hope this helps <3

Old McDonald's 3 hens lay the same number of eggs one week. This gives Old McDonald's wife enough eggs for two recipes. One recipe requires 10 eggs and the other recipe requires 2 eggs. How many eggs did each hen lay?

Answers

I think the answer is 4 because you add the 10 and 2 and you get 12 and then divide that by how many hens there are (3). The answer is 4

find the three common multiple of
a)3 and 18
b)9 and 13
c)5 and 17​

Answers

Answer:

I think these are the answers

a) 3

b) 1

c) 1

The LCM of 3 and 18 is 18.

Can someone please help me with this?

Answers

Hello,

Ali is right, Khamis is wrong. Why because Khamis forgot to put the negative sign in front of 5b, it should be wrote -5b in the second line and not 5b.

And then Khamis should have divided -5b by -5b.

Good Luck

Ali is correct
Ali is correct

What is the common difference for this arithmetic sequence 45,40,35,30,25,

Answers

Answer:

-5

Step-by-step explanation:


Can someone please solve question 8

Answers

I’m unsure if this is it: 22.4.3592 is there options?

Answer:

22.84

Step-by-step explanation:

Ty factored 24a + 36c and got an answer of 3(8a + 12c). Did Ty factor correctly?
If not, explain what he did wrong and correct his mistake.

Answers

No he did not factor correctly. He needed to factor completely which would get 12(2a+3c)

Camelle manages her soccer team. she needs to order 4 practice jerseys for each player. There are y players how many total practice jerseys does she need to order?

write and expression

Answers

Answer:

T= total # of jerseys to order

y= # of players

T= 4*y

Total equals 4 times # of players

T= 4y

The times for running a 5K for a local charity event are Normally distributed with a mean time of 28 minutes and
standard deviation of 5.4 minutes. Which time represents the 60th percentile?
Find the z-table here.

A. 19.6 minutes
B. 26.6 minutes
C. 29.4 minutes
D. 36.4 minutes

Answers

Answer:

29.4 minutes represents the 60th percentile

Step-by-step explanation:

Given :  The times for running a 5K for a local charity event are Normally distributed, with a mean time of 28 minutes and standard deviation of 5.4 minutes.

To Find : Which time represents the 60th percentile?

 19.6 minutes

26.6 minutes

29.4 minutes

36.4 minutes

Solution:

time represents the 60th percentile

Means  60 % data = 0.6 below this

from z table ,  z score for this =  0.253

z score  = ( Value - Mean ) / SD

=> 0.253  = ( Value - 28 ) /5.4

=> 1.3662  =  Value - 28

=>  Value = 29.3662

=>  Value = 29.4

29.4 minutes represents the 60th percentile

x^3 - 3x^2 + 4x - 12

Answers

Answer:

(x^2 + 4)(x - 3).

Step-by-step explanation:

I'm guessing you want to factor this.

You can do it by grouping:

x^3 - 3x^2 + 4x - 12

= x^2(x - 3) + 4(x - 3)

= (x^2 + 4)(x - 3).

Two architects bid for a small government project, both
charging a flat fee added to an hourly rate. Amazing
Designs bids $250 plus $45 per hour, while Super Structures
bids $100 plus $60 per hour. At what point in time will the
two companies charge exactly the same amount?

Answers

Answer:

10 hours

Step-by-step explanation:

let x be the total number of hours

Amazing design total charge = 45x+250

super structures total charge = 60x+100

both companies charge the same amount when both equation equals

45x+250=60x+100

60x-45x=250-100

15x=150

x=10

therefore at 10 hours both companies will charge the same amount

Here is an inequality -10+x÷4+5>7x-5÷3

Answers

Answer:

here is the answer x>1/2

-
1.) -x + 5y = 49
X =
X - 4y = - 39
-
=

Answers

Answer: (1,10)

Step-by-step explanation:

Assuming these are the correctly written equations:

-x + 5y = 49, and

x - 4y = -39

I'll rewrite them:

5y = x + 49

y = (1/5)x + (49/5)

-4y = -x -39

y = (1/4)x + (39/4)

=====

I'll assume the question is to find the point these two lines intersect (?).

See the attached graph.  They intersect at (1,10).

If angle 1 is 110° what would the other angle measures have to be in order for m || n and q || p

Answers

Answer:

Angle 1 = 110

Angle 2 = 110

Angle 3 = 70

Angle 4 = 70

Step-by-step explanation:

Angles 1 and 2 are corresponding angles, and therefore congruent

Angles 2 and 3 are same-side interior angles, and therefore supplementary

Angles 3 and 4 are alternate interior angles, and therefore congruent.

Answer:

Angle 2: 110

Angle 3: 70

Angle 4: 70

What is the degree of angle o?
Show work

Answers

180 - 78 = 102 hope this help
180-78 and you get the degree for angle n and use 180-24-n then you’ll get the degree of angle o

Jack estimates that a piece of wood measures 4.5 cm. If it actually measures 4.72 cm, what is the percent error of Jack’s estimate? (Show all of your work)

Answers

Answer:

ion

Step-by-step explanation:srry

Can I get some help on this I have so many assignments to do and I just want to go to sleep

Answers

Hi! It’s me from your other post! Here’s my work for you! It’s been awhile since I’ve done this stuff so I’m really sorry if I get you a bad grade! I just wanted to help out:))

I just woke up i need help ;-;

Answers

Answer:

i think that the correct answer is 7/12

train tickets cost $48 for adults and $32 for children there are 27 adults and 55 children on the train how much did the passengers pay to ride the train​

Answers

$3,056
work
adult tickets:48x27=1296
children tickets: 55x32=1760
add the two totals 1296+1760= 3056

can someone please help me solve this! ​

Answers

Answer:

B

Step-by-step explanation:

[tex]4x^{2}-11x-3=0\\4x^{2}-12x+x-3=0\\4x(x-3) + (x-3) = 0\\(4x+1)(x-3)=0[/tex]

B is factorable through this method

There are 190 people on the beach. 110 are wearing sunglasses, 70 are wearing bathing suits, and 95 are wearing a hat. Everyone is wearing at least one of these items. 30 are wearing both bathing suits and sunglasses. 25 are wearing both bathing suits and a hat. 40 are wearing both sunglasses and a hat. How many people are wearing all three items

Answers

190=110+70+95−(30+25+40)+x190=110+70+95−(30+25+40)+x

Simplifying, we get that x=10x=10.

its 10

Which of the following is a run on sentence

Answers

Answer:

B.

Step-by-step explanation:

There is no pause and the use of a connection word (and) makes the sentence seem longer. Hope this helps :) brainliest?? <3

Gigi graphs the parabola (x+1)2=2(y−3).

How does she proceed?

Drag a value, coordinates, equation, or word to the boxes to correctly complete the statements.

Answers

After graphing the parabola [tex](x+1)^2=2(y-3)[/tex], she can fill the boxes as follows:

Gigi identifies that the vertex of the parabola is [tex](-1, 3)[/tex]. The parabola opens up, and the focus is [tex]\frac{1}{2}[/tex] unit away from the vertex. The directrix is [tex]1[/tex] unit from the focus. The focus is the point [tex](-1, \frac{7}{2})[/tex]. The directrix of the equation is [tex]y=\frac{5}{2}[/tex].

Since Gigi's parabola has the x-term squared, then the parabola has the general formula

[tex](x-h)^2=4p(y-k)[/tex]

So,

[tex]x-h=x+1 \implies h=-1[/tex]

[tex]y-k=y-3\implies k=3[/tex]

The vertex is

[tex](h,k)=(-1,3)[/tex]

The focus is

[tex](h,k+p)=(-1,3+\frac{1}{2})\\=(-1,\frac{7}{2})[/tex]

The directrix is

[tex]y=k-p=3-\frac{1}{2}=\frac{5}{2}[/tex]

The other values can be computed as follows;

Direction the parabola opens: Since the value of p is positive, the parabola opens up.

Distance of focus from vertex: The focus and vertex both have the same x position, so the distance will be in terms of the y-coordinates only. The distance from the focus to the vertex is

[tex]\frac{7}{2}-3=\frac{1}{2}\text{ unit}[/tex]

Distance of directrix to focus: The directrix is the line [tex]y=2.5[/tex]. The distance of the directrix to the focus will be

[tex]\frac{7}{2}-\frac{5}{2}=1 \text{ unit}[/tex]

Learn more about conic sections here: https://brainly.com/question/12854078

Answer:

I took the quiz.

Step-by-step explanation:

What is the product?

Enter your answer as a fraction, in simplified form, in the box.

3/8*(-36)

Answers

Answer:

-27/2

Step-by-step explanation:

3/8 × -36

(3×-36)/8

-108/8

-27/2

A rectangular prism has dimensions of 8 cm by 9 cm by 10 cm. What is its volume? cubic centimeters

Answers

Answer: 288 cubic centimeters

Roxana makes bracelets and necklaces and sells them at the farmers’ market. She sells the bracelets for $12 each and the necklaces for $18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit. (Thank you so much for anyone who answers it

Answers

Answer:

She could out 20 necklaces and 20 bracelets on display and she would make $600.

Step-by-step explanation:

$18 necklaces x 20= $360

$12 bracelets x 20 = $240

totalling $600

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