Find the equation of the line passing through the following : (-1;6) and (-3;0)

Please help... ​

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex](x_{1} , y_{1}) = (-1,6)\\\\(x_{2},y_{2}) = ( -3, 0)\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\\\=\dfrac{0-6}{-3+1}\\\\\\=\dfrac{-6}{-2}\\\\=3[/tex]

Equation of the line: y= mx +b

y = 3x + b

Substitute ((-1 , 6) in the above equation

6 = 3*(-1) + b

6 = -3+b

6 +3  = b

b = 9

y = 3x + 9


Related Questions

I need help on number three pls help

Answers

Answer:

(1/2)n

Step-by-step explanation:

I think this should be correct. A will be "1" and then for every scale (n) it will be scaled by 1/2.

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather


What are the coordinates of the vertex for the function shown below ?

Answers

Answer:

Step-by-step explanation:

We can answer this in two ways:  Differentiation and Graphing.

Differentitate:

The first derivative of a function yields a function that provides the slope for any point on the line of the original function.  The slope of a vertex is zero, so we can set the first derivative to 0 and solve for x.

f(x) = 3(x-1)^2 + 4

f(x) = 3(x-1)(x-1) + 4

f(x) = 3(x^2 - 2x + 1) + 4

f(x) = 3x^2 - 6x + 7

f'(x) = 6x -6

Set this = 0 and find x:

0 = 6x -6

x = 1

The value of y when x=1 in the original equation is:

f(1) = 3(1-1)^2 + 4

y = 4

The vertex is (1,4)

Graph:

You can use DESMOS to plot the function.  The result is attached.  Look for the vertex and read the coordinates.  (1,4) seems to work.

The x intercept of the inequality y > 12 - 3x is (a, 0) What is the value of a? (100 points)

Answers

Answer:

a > 4

Step-by-step explanation:

y > 12 - 3x, given the points(a, 0)

We just have to substitute the point of x and y

=> 0 > 12 - 3a

=> - 12 > - 3a,

divide both sides by the coefficient of a

=> - 12/-3 < a

Therefore a > 4

Pls help me
On June 1, Mary had a balance of $50 in her bank account. During June she made the four transaction below.
Deposited $25.62
Withdrew $19.76
Wrote a check for $56.29
Paid a bank fee of $25

If there were no other transaction, what was the balance in Mary's account at the end of the month?

Answers

I got 137.15 by adding all the numbers

Answer:

The balance in Mary's account at the end of the month is $14.09

Step-by-step explanation:

Step 1: 50+25.62=75.62

Step 2: 75.62+19.76=95.38

Step 3: 95.38-56.29=39.09

Step 4: 39.09-25= $14.09

what is 1 1/5 x 2 3/4

Answers

Exact Form:
33
10
33
10
Decimal Form:
3.3
3.3
Mixed Number Form:
3
3
10
I hope it help #carry on learning
Answer: 253/20

Step by step:

11(23)/5(4) (multiply 11 and 23)

253/5(4) (multiply 5 and 4)

=253/20

if you add 5 to me then divide 7, and add 12 then subtract 7 you get 10 what number am i

Answers

Answer:

hii the answer is 30 :D have a nice day

i dont even think i'm right but ok

didn't you just say you got the number 10? i'm guessing the number is 10

16 is equal to the difference of twice a number p and 8.

Answers

16 = 2(p+8) I believe this is correct based on the wording of the question

Can someone plz help with this

Answers

Answer:

hexagonal prism

Please help!! Picture is provided

Quad. ABCD is a trapezoid.
XY is the median
XY = 12; AB=16
Find DC

Answers

Answer:

DC = 8

Step-by-step explanation:

The median is half the sum of the parallel bases, that is

[tex]\frac{AB+DC}{2}[/tex] = XY , substitute values

[tex]\frac{16+DC}{2}[/tex] = 12 ( multiply both sides by 2 to clear the fraction )

16 + DC = 24 ( subtract 16 from both sides )

DC = 8

Answer:

DC = 8

Step-by-step explanation:

The median XY of the trapezoid ABCD is half or the sum of AB and DC.

                    XY                                         = 1/2      ( AB + DC)

We need to find out DC so we can rewrite this equation isolating DC

XY = (1/2)(AB+DC), multiply both sides by 2

2XY = AB + DC, subtract from both sides AB

2XY - AB = DC, now substitute the given AB = 16 and XY = 12

2* 12 - 16 = DC , using the order of operations rules we multiply first

24 -16 = DC, subtract

8 = DC

Find the area of the yellow region.
Round to the nearest tenth.

Answers

Answer:

13.7 cm square

Step-by-step explanation:

Here we see that the square has an area of 8x8= 64 centimeters square. We want to subtract the area of the white part from 64 to find the area of the yellow region. If we were to put the white parts together it would create a circle, so we need to find the area of the circle and then subtract it from 64. The circle would have a radius of one half the length of the square, which would be 4 cm. Area equals pi times radius squared so the area would be 50.27 cm square. 64-50.27= 13.7 cm square

Please help me with this math problem!! :)

Answers

It's 2 I know it's 2 because I just took it on edge and got%100

Solve the equation by completing the
square. Enter the smallest solution first
and round to the nearest tenth.
s2 - 10s - 23 = 0
-
s = [?]
=

Answers

Answer:

s ≈ - 1.9 , s ≈ 11.9

Step-by-step explanation:

s² - 10s - 23 = 0 ( add 23 to both sides )

s² - 10s = 23

To complete the square

add ( half the coefficient of the s- term )² to both sides

s² + 2(- 5)s + 25 = 23 + 25

(s - 5)² = 48 ( take square root of both sides )

s - 5 = ± [tex]\sqrt{48}[/tex] ( add 5 to both sides )

s = 5 ± [tex]\sqrt{48}[/tex]

Then

s = 5 - [tex]\sqrt{48}[/tex] ≈ - 1.9 ( to the nearest tenth ) ← smaller solution

s = 5 + [tex]\sqrt{48}[/tex] ≈ 11.9 ( to the nearest tenth ) ← larger solution

Solve the given equation for x.

2x-B=10

Answers

10/2-B/2 trust me I got it right

solve pls brainliest

Answers

The answer for a is +2.

The answer for b is +256.

A family buys a studio apartment for 120,000. They pay down payment of 18,000.

A. Their down payment is what percent of the purchase price?

B. What percent of the purchase price would a 48,000 down payment be?​

Answers

Answer:

EZ

Step-by-step explanation:

A. 15 Percent

B. 40 Percent

Answer:

A) 15% B) 40%

Step-by-step explanation:

in the 2002 Winter Olympics in salt lake city , the United States and Canada earned a total of 51 metals. the United States earned twice as many as Canada. how many medals did each country earn?

Answers

Answer:

United States:34

Canada:17

Answer:

17 and 34

Step-by-step explanation:

the United States earned 34, while the Canada earned 17

URGENT!!!

Peggy sue decided to enter her famous “Five- Alarm chili” at her local chili cooking contest. Normally, she needs 5 tomatoes to make enough chili for her family of 7

A. How many tomatoes should she expect to use to make her famous recipe for 100 people?

b. When she gets to the contest, she realizes that she only packed 58 tomatoes. How many people can she expect to feed?

Answers

A. If she needs 5 tomatoes for a family of seven, then we need to find how many tomatoes it takes to feed only one person and then multiply that by 100z

5/7 = 0.714… tomatoes per person

Multiply this by one hundred

0.714 * 100 = 71.43 tomatoes.

Check:

5/7 = ?/100

Solve for ?

? = 71.43 tomatoes, but you technically can’t bring 0.43 tomatoes, so round that to 72 tomatoes

B. We would need to solve for

5/7 = 58/?

? = 81.2 people, but you should round down here because there isn’t enough chili for that 82 person, and there are not 20% of a person walking around looking for some chili.

answer please answer please

Answers

Step-by-step explanation:

angle EAB = 2x too, due to the laws of the same and mirrored angles when a line crosses 2 parallel lines.

the angle ABE is 180 - 6x, due to the fact that all angles around a single point on one side of a line ad up to 180 degrees.

similarly, the angle AEB is 180 - 4x.

and then we know the sum of all angles in a triangle is airways 180 degrees.

so,

180 = 2x + 180 - 4x + 180 - 6x

0 = 180 - 8x

8x = 180

x = 22.5

Apply the distributive property to create an equivalent expression.
(3−8y)⋅(−2.5)=

Answers

Answer:

-7.5+20y

Step-by-step explanation:

To apply the distributive property, you have to distribute the multiplication of -2.5 to both 3 and -8y.

First, multiply 3 and -2.5 to get -7.5

Then, multiply -8y and -2.5 to get 20y.

Finally, add these values together

Drag the numbers to order them from least to greatest.
0.7
-4.5
0.3
-0.5
2.3

Answers

Answer:

-4.5, -0.5, 0.3, 0.7, 2.3

Step-by-step explanation:

The higher the negative number the lower it really is.

Answer:

-4.5, -.5, .3, .7,2.3

Step-by-step explanation:

in the inequality 4> -4 which number appears farther right on a number line and why?

Answers

Answer:

4

Step-by-step explanation:

It is a positive number meanwhile -4 in negative.

Find the 66th term of the arithmetic sequence 3, 13, 23, ...3,13,23,...

Answers

Answer:

[tex]a_{66}[/tex] = 653

Explanation:

General formula: [tex]a_{n}[/tex] = ([tex]a_{1}[/tex] + ((term) - 1) · (common difference)

[tex]a_{66}[/tex] = 3 + (66 - 1) · (10)

[tex]a_{66}[/tex] = 653

Question 13 options:
Isaac drops an apple from the top of a lighthouse, 154 feet above the ground.

The equation to represent the height of the apple at a given time is h=−16t2+154,

where h is the height of the apple, and t is the number of seconds after the apple is dropped.

How many seconds (t) will it take for the apple to hit the ground (h = 0)?

[Find the value of t, rounded to the nearest tenth.]

Answers

Answer:

3.1 sec.

Step-by-step explanation:

Make each denominator rational. In other words, rationalize the denominator.

A) (√11-1)/√11

B) (3 + √6 )/√6

Answers

The detailed answer is there in the image I have attached.

Hope it helps you....

Please mark as Brainlliest!!!!

What is the slope-intercept form 10x-7y=-8

Answers

Answer:

Step-by-step explanation:

Slope intercept form: y = mx +b

10x - 7y = -8

      -7y = - 10x - 8

Divide the equation by (-7)

[tex]\dfrac{-7y}{-7}=\dfrac{-10x}{-7} +\dfrac{-8}{-7}\\\\\\y =\dfrac{10}{7}x+\dfrac{8}{7}[/tex]

Can anyone help me? asap if possible

Answers

Answer:

B) CD

Step-by-step explanation:

Perpendicular means a line that bisects the other at 90°.

In this case, you are trying to find a perpendicular line to line BC, which can be two choices, AB & DC.

In this case, B) CD is your answer, as it is the only one that shows up (AB does not).

~

Answer:

segment CD

Step-by-step explanation:

Perpendicular segments form a 90 degree angle (aka right angle). Segment BC appears to be perpendicular to both AB and CD. I use the phrasing "appears to be" since it's not entirely clear if they actually are perpendicular. The use of a square angle marker would indicate the segments form a 90 degree angle. Such a symbol is missing.

Hope it help and if it its correct please give brainliest  

Stay Safe and healthy

Thank You

QUESTION 9 of 10: You enter a bid. Your cost on the product you make is $112 per unit. If you bid at $138 per unit, what percent is the price
you bid over your cost? (Round to the nearest percent)
O a) 19%
Ob) 23%
O c) 81%

Answers

I would say B as the answer... 81 is just to high and 19 doesn't seem right.. so I'm just gonna go with B 23%

I am very sorry if this is wrong in anyway!

Answer:

the answer is 23%

Step-by-step explanation:

i used a percent increase calc... was too lazy to do the work haha

What is the height of the flagpole?

Answers

Right angle: a^2 + b^2 = c^2
c = longest side which is 26
a = 10
Now plug it in to find b
10^2 + b^2 = 26^2
100 + b^2 = 676
b^2 = 576
b = squareroot of 576 = 24

Solution: 24

How much would it cost to buy three medium sodas and two hotdogs

Answers

Answer:

depends how much they cost each

The theater manager needs to set up 54 chairs for a show each row can be holed up to eight chairs the manager puts as many chairs in each row as possible how many rolls will the manager set up

Answers

Answer:

7 not 7 full rows though

Step-by-step explanation:

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