All categories

1 month ago

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

Mathematics

2 answers:

Leona [12.6K]1 month ago

6 0

One equation is Y - 11 = -7/2(x + 3), while the other is y + 3 = -7/2(x - 1).

tester [12.3K]1 month ago

5 0

Answer:

7x + 2y = 1

Step-by-step explanation:

Greetings

Utilize the given points to calculate the slope (A)

$A=\frac{-3-11}{1-(-3)} \\A= \frac{-14}{4} \\\\\\A=-\frac{7}{2} \\\\\\$

With the slope and a chosen point, we can use J(-3, 11).

$y-y_{0} = A (x-x_{0} )\\\\y-11=-\frac{7}{2} (x+3)\\y-11=-\frac{7x}{2} -\frac{21}{2} \\y+\frac{7x}{2} =-\frac{21}{2} +11\\\\y+\frac{7x}{2} =0.5\\\\\\$

It should be multiplied by two to clear the fraction and then reorganized.

$2*(y+\frac{7x}{2}) =2*0.5\\7x+2y =1$

You might be interested in

Kevin drew a triangle with angle measures of 30 degrees and 40 degrees and side measures of 5 cm, 7cm, and 8 cm. Explain, using

lawyer [12517]

He created a scalene triangle.
A scalene triangle has sides and angles that do not measure alike.

6 0

1 month ago

Read 2 more answers

cynara has a bag of red, blue, and black pens. She randomly selects a pen, records the color, and puts it back in the bag, She d

lawyer [12517]

Calculate the probability of each pen color by dividing the number of times each color was chosen by the total selections:

Red pens: 6 out of 30, which simplifies to 1/5

Blue pens: 10 out of 30, which simplifies to 1/3

Black pens: 14 out of 30, which simplifies to 7/15

To find the likelihood of first selecting a blue pen and then a red pen, multiply their individual probabilities:

(1/3) × (1/5) = 1/15

The resulting probability is 1/15.

1 0

2 months ago

The value of Zlatan's house has increased by 7%. his house is now valued at £749,000. work out the value of the house before the

Inessa [12570]

Answer:

£700,000

Detailed explanation:

Let x represent the original price of the house. Keeping in mind that

$7%=\frac{7}{100}$

Upon a 7% increase in the house value, it is now set at £749,000. We can express this as

$x+\frac{7}{100}x = 749,000$

We can solve for x now:

$x+\frac{7x}{100}=749,000\\100x + 7x = 74,900,000\\107 x = 74,900,000\\x=\frac{74,900,000}{107}=700,000$

Thus, the initial valuation of the house was

£700,000

4 0

1 month ago

The distance between two piers on a river is 45 miles. It takes a motorboat, moving downriver, 2 hr 15 min to complete the journ

PIT_PIT [12445]

The duration is 3 hours. We can define a variable for our answer (x). Now we need to determine the boat's speed in still water (y). We can establish this equation: d/t = s: 45/(y + 2.5) = 2 1/4, leading us to find y = 17.5. Substituting in the current’s speed gives us y - 2.5. So, 17.5 - 2.5 is 15. By solving for x, we get 45/15 = 3, which gives us the final answer of 3 hours.

3 0

11 days ago

An urn contains 2 red marbles and 3 blue marbles. 1. One person takes two marbles at random from the urn and does not replace th

Leona [12618]

Answer with explanation:

Let’s consider: An urn is composed of 2 red marbles and 3 blue marbles.

Total number of marbles = 2 + 3 = 5

a) The possible ways for the person to select one red marble and one blue marble include:

1) Drawing a red marble first, followed by a second blue marble.

2) Drawing a blue marble first and then picking a red marble second.

b) The total number of combinations for selecting one red and one blue marble is represented as:-

$^2C_1\times^3C_1=2\times3=6$ (i)

c) The count of ways to draw 2 marbles from 5 is defined as:-

$^5C_2=\dfrac{5!}{2!(5-2)!}=\dfrac{5\times4\times3!}{3!\times2}=10$ (ii)

Now, the probability of the individual selecting a red and a blue marble can be calculated as:-

$P(R\ \&B)=\dfrac{6}{10}=0.6$ [Divide (i) by (ii)]

Consequently, the probability of selecting a red and a blue marble= 0.6

5 0

29 days ago