Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?

7x + 2y = –1
7x + 2y = 1
14x + 4y = –1
14x + 4y = 1

Answers

Answer 1

Answer:

7x + 2y = 1

Step-by-step explanation:

1. Find the slope of the line.

(y2-y1)/(x2-x1) ---->  (11 - (-3))/((-3) -1) ----> (11+3)/ (-3 -1) ----> 14/-4

*lets simplify into (7/-2)*

2. Write into slope intercept form.

y=mx+b (m is the slope) (b is the y intercept)

y = (7/-2)x + b

We now need to find the value of b, this can be done by plugging in values of x and y, and using algebra to solve.

11 = (7/-2)(-3) + b

11 = 10.5 + b

b = 0.5 or 1/2

slope intercept form y = (7/-2)x + 1/2

Now we convert to standard form: ax+by=c

*In this form we our a term cannot be a fraction nor can it be negative*

1. Get x and y on the same side, and since our x term is negative right now, we can make it positive by adding it on both sides.

(7/2)x + y = 1/2

2. We now want to get rid of the fraction in term a, so we multiply the entire function by two, so the denominator cancels out.

2(7/2)x + 2y = 2(1/2)

Simplify and you get

7x + 2y = 1

Answer 2

Answer:

Step-by-step explanation:

Answer:

The Width of the garden will be 9 feet.

Step-by-step explanation:

Given:

Manny has wood =48 feet

Length of the garden = 15 feet

The equation which can be used  .

We need to find the width of the garden.

Solution :

Now Length of the garden is given we will substitute in the given equation to find the width.

Now Using Subtraction property we will subtract both side by 30 we get;

Now Using Division Property we will divide both side by 2 we get;

Hence the Width of the garden will be 9 feet.


Related Questions

Find the slope between:
(4,5)
(3,5)

Answers

Answer:

If a line goes through both points, the slope of that line would be [tex]0[/tex].

Step-by-step explanation:

The slope of a line is equal to the ratio between the vertical change of this line "rise" and the corresponding horizontal change "run":

[tex]\begin{aligned}\text{slope} &= \frac{\text{rise}}{\text{run}}\end{aligned}[/tex].

If a non-vertical line goes through two distinct points [tex](x_{0},\, y_{0})[/tex] and [tex](x_{1},\, y_{1})[/tex] where [tex]x_{0} \ne x_{1}[/tex], the vertical change (rise) would be [tex](y_{1} - y_{0})[/tex]. The corresponding horizontal change would be [tex](x_{1} - x_{0})[/tex]. Thus, the slope of that line would be:

[tex]\begin{aligned}\text{slope} &= \frac{\text{rise}}{\text{run}} \\ &= \frac{y_{1} - y_{0}}{x_{1} - x_{0}}\end{aligned}[/tex].

In this question, [tex]x_{0} = 4[/tex] and [tex]y_{0} = 5[/tex] for the first point, whereas [tex]x_{1} = 3[/tex] and [tex]y_{1} = 5[/tex] for the second point.

The rise (vertical change) of this line from the first point to the second would be [tex](y_{1} - y_{0}) = 5 - 5 = 0[/tex]. The corresponding run (horizontal change) would be [tex](x_{1} - x_{0}) = 3 - 4 = -1[/tex].

Thus, the slope of this line would be:

[tex]\begin{aligned}\text{slope} &= \frac{\text{rise}}{\text{run}} \\ &= \frac{y_{1} - y_{0}}{x_{1} - x_{0}} \\ &= \frac{5 - 5}{3 - 4} \\&= \frac{0}{-1} \\ &= 0\end{aligned}[/tex].

In other words, the slope of this line is [tex]0[/tex]. Geometrically, a slope with a slope of [tex]0\![/tex] would be horizontal. The vertical coordinate of all points on such line would be the same ([tex]5[/tex] for points on the line in this question.)

What is the product when 20 3 is multiplied with 9 25 ?

Answers

Answer:

187.775

Step-by-step explanation:

20.3×9.25=

187.775

what number can be divided into 2 without a equal groups without a remainder A 331 B 485 C 588 D 693

Answers

Answer:

c

Step-by-step explanation:

588/2= 294

when a force is applied to an object its, ________, the object may ____________________.

Answers

Answer:

merry Christmas to you advance

using continuous division, fill on the correct information in each blank . ​

Answers

Answer:

Step-by-step explanation:

HELP ASAP!!!!!!
I need help with the slope

Answers

Answer:

2/3

Step-by-step explanation:

Can someone please give me the (Answers) to this? ... please ...

Answers

Answer:

1.  Consecutive Interior

2. Corresponding

3. Alternate Exterior

4. 111°

5. 80°

6. 110°

a. What distance on the map (in centimeters) represents an actual distance of 2.5 kilometers? *

Answers

Answer:

Step-by-step explanation:

This question is missing info but if it helps, 2.5 kilometers is 2500m which is 250000 cm

SOMEONE PLEASE HELP‼️‼️‼️‼️ I WILL MARK BRAINLYEST !!‼️
Find the unknown side of the triangle below.

A. 23.6m
B. 37.0m
C. 16.9 m
D. 28.2m

Answers

Answer:

D. 28.2

Step-by-step explanation:

the midpoint of (3 x, -2) and (-4, 5y) is (1,4). find x, -y​

Answers

Answer:

(x,-y): (2,-2)

Step-by-step explanation:

M=(x+x)/2,(y+y)/2

Given (1,4)=

[tex] \frac{3x - 4}{2} [/tex]

This implies:

[tex]1 = \frac{3x - 4}{2} [/tex]

[tex]3x - 4 = 2 \\ 3x = 2 + 4 \\ \frac{3x }{3} = \frac{6}{3} \\ x = 2[/tex]

In a similar way,

[tex]4 = \frac{ - 2 + 5y}{2} \\ - 2 + 5y = 8 \\ 5y = 10 \\ y = 2[/tex]

The question demanded (x,-y)

Hence(2,-2) is the answer

What is the slope of the line on the graph?

Answers

Answer: -1/3

Explanation: ok so when you do it your going down -4 and over 12 so your fraction is -4/12 then rounded you get -1/3
Hope this helps

For a Brainly please help me
A car travels at a rate of 60 miles per hour for 4 hours. Let y be the distance, in miles, the car travels for a given amount of time, x, in hours. What is the domain of the function?

Question 2 options:

0≤y≤4

0≤x≤60

0≤x≤4

0≤y≤60

Answers

Answer:

Step-by-step explanation:

I will give brainliest

Answers

Answer:

y=-1/2x+2

Step-by-step explanation:

2 = 0 +b

2=b

y=-1/2x+2

Answer:

y = -1/2x + 2

Step-by-step explanation:

Follow the y = mx + b. B stands for the y-intercept, which is 2 in this case. M stands for the slope, which is the constant -1/2. Pls brainliest i want to level up ty!!!!!

Find the surface area of a cube
with side length 8.5 cm.

Answers

Answer:   433.5 square cm

=========================================================

Explanation:

A cube has 6 identical faces, all of which are squares.

Each square has a side length of 8.5 cm, so its area is (8.5)^2 = 72.25 sq cm.

The overall surface area, aka the area of all 6 faces combined, is 6*72.25 = 433.5 square cm

Answer:

A=433.5cm²

Step-by-step explanation:

A=6a2=6·8.52=433.5cm²

Divide 5 by 1,000 and round to the nearest whole number

Answers

Answer:

1

Step-by-step explanation:

5÷1000=0.005

0.005 ≈ 1 (1 is the nearest whole number)

Hope this helps!

The number 5 divided by 1,000 is approximately 0 when rounded to the nearest whole number.

To divide 5 by 1,000, we simply perform the division:

5 ÷ 1,000 = 0.005

Now, to round the result to the nearest whole number, we examine the first decimal place. Since it is less than 5, we round down to the nearest whole number.

Thus, the rounded result is 0.

Rounding is a process used to simplify numbers to a certain level of precision. When rounding to the nearest whole number, we look at the digit to the right of the decimal point (the first decimal place). If this digit is 5 or greater, we round up to the next whole number. If it is less than 5, we round down to the current whole number.

In this case, 0.005 is less than 0.5, so we round down to 0.

To learn more about division click on,

https://brainly.com/question/14907741

#SPJ2

How do I solve
-3x+y=24
-2x=+18+5y

Answers

Answer:

Let's solve by eliminating x. Since 18 is the lowest common multiple , let's multiply the first equation by 3 and the second by -2.

18x−21y=24

−18x+10y=−2

Add the two equations.

−11y=22

Divide by -11 to isolate y.

y=−2

Substitute y=−2 into either of the 2 equations, I'll just use the second one.

9x+10=1

9x=−9

x=−1

Step-by-step explanation: that is your anwser

In plane ABC the measure of angle A equals 42° the measure of angle B is five times the measure of angle C find the measure of angle B and the measure of angle C.

Answers

Step-by-step explanation:

I think what is meant in the triangle ABC we have the three angles.

the sum of all angles in a triangle is airways 180 degrees.

so,

180 = A + B + C

180 = 42 + B + C

now, we know also that

B = 5×C

so, we can use that above

180 = 42 + 5×C + C

138 = 6×C

C = 138/6 = 23 degrees

B = 5×C = 5×23 = 115 degrees


The table shows information about the heights of 80 plants. Find the class interval that contains the median.

(Please explain to me how you get your answer so I can get a better understanding. Thanks)

Answers

Answer:

sorry I can't help you hope you understand

Step-by-step explanation:

sorryy

Please help i reward brainliest and give points

Please no spams
Please no links
Please no wrong answers
If you dont know the answer please dont put anything

Answers

What is the question?

how many yards are there in 2 miles

Answers

Answer: 3520

please give brainliest

Step-by-step explanation:

Answer:

3,520 miles in a Yard.

Step-by-step explanation:

x tends to 0 (sinax-sinbx)/x​

Answers

Answer:

1xxx double answer po

Step-by-step explanation:

akoooooooooooo

bahalaaaaaaaaaa

WILL GIVE BRAINLIEST AND I SWEAR TO GOD IF ONE MORE BOT ANSWERS AND MAKES IT TO WHERE NO ONE ELSE CAN ANSWER


One challenge of federalism is that

power and authority are concentrated in the central government and can take away people’s rights
sometimes officials from different levels of government disagree on who should be in charge of a situation
local governments have the most power, which creates problems for trade with other nations
officials from state governments have too many rules to follow to be effective leaders

Answers

Answer:

local governments have the most power

Step-by-step explanation:

I hope this is right, but federalism gives more power to the state, so local governments could potentially have more power.

Answer:

i believe it is option one: power and authority are concentrated in the central government and can take away people’s rights

Step-by-step explanation: well i mean its true the governments are corrupted and are slowly taking away our rights

2 times a number less 4 is 20

Answers

Answer:

68?

Step-by-step explanation:

Answer:

The answer is 8

Step-by-step explanation:

Let the number be x

4x- 12=20 (12 less than 4 times a number is 20)

4x= 20 +12

4x=32

x=8

Hope this helps!!

question 6, almost done promise

Answers

A. Driving in the city

What is the domain of the function on this graph?

Answers

Answer:

[tex] - 6\leqslant x \leqslant 6[/tex]

[-6 6]

(Can I have brainliest btw?)

What is the role of parentheses in expressions containing exponents?

Answers

Step-by-step explanation:

the quantity inside the parentheses is being multiplied by itself the number of times the outside exponent

if two angles of a triangle measure 111 and 55, what is the measure of the measure of the remaining angle

Answers

Answer:

14

Step-by-step explanation:

111+55

=166

180-166

=14

Help with this problem pls!

Answers

Answer:

uh.. shii i dont know

Step-by-step explanation:

Josie walks 4 miles over the course of 5 hours.

Based on her average speed, approximately how many miles will she walk in the next 3 hours?

Answers

Answer:

2.4 miles

Step-by-step explanation:

She walks 0.8 miles per hour

Hope this helped!

At a sporting goods store, the price of a bicycle is $650. During a sale, this price is marked down 45%. What is the sale price of the bicycle? Enter your answer in the box.​

Answers

Answer:

292.5

Step-by-step explanation:

calculations

45 percent of 650 Is 292.5

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