All categories

3 years ago

Which point is on the line of the equation y-4 = -1/2 (x - 2) ?

Mathematics

1 answer:

Gennadij [26K]3 years ago

8 0

Answer:

4.0148 rounded to the nearest thousand is 0, but if you meant rounded to the nearest thousandth, it would be 4.015 because the 8 in the ten thousandth column would cause the 4 in the thousandth column to round up to 5.

Step-by-step explanation:

You might be interested in

Write the equation for the line in slope-intercept form.

Elan Coil [88]

Answer:

y = 4x + 3

Step-by-step explanation:

We are given the line shown in your question.

We want to write the equation of this line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept

As we are given the graph of the line, we can pick any 2 points to help us find the equation; in this case, let's take (0,3) and (-1, -1).

First, we need to find the slope of the line

The slope (m) can be found using the equation $\frac{y_2-y_1}{x_2-x_1}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are points

Let's label the values of the points to avoid confusion and mistakes before calculating.

$x_1= 0\\y_1=3\\x_2=-1\\y_2=-1$

Now substitute these values into the equation for the slope

m= $\frac{y_2-y_1}{x_2-x_1}$

m= $\frac{-1-3}{-1-0}$

Subtract

m= $\frac{-4}{-1}$

Divide

m = 4

The slope of the line is 4

Here is the equation of the line so far:

y = 4x + b

Now we need to find b

As stated above, b is the value of y at the y intercept; the y intercept is the point where the line intersects with the y axis. The value of x at this point is 0

One of the points we used to calculate the slope was actually the y intercept point; this point is (0, 3). The value of y at this point is 3, so the value of b is 3

Substitute 3 as b in our equation

y = 4x + 3

Topic: finding the equation of the line

6 0

2 years ago

Find the equation of a line parallel to 3x-6y=5 and passing through (-2,-3). write the equation in slope intercept form

borishaifa [10]

I hope this helps you

7 0

3 years ago

Read 2 more answers

Find the 44th percentile, P44, from the following data! pls help

irina [24]

Answer:

$P_{44} = 29.9$

Step-by-step Explanation:

The 44th percentile, $P_{44}$ , of the given data can be calculated using the kth formula for percentile given as:

$i = \frac{k}{100}(n + 1)$

where,

i = the ranking or the position of the percentile = ?

k = the percentile = 44

n = total number of the given data values = 23

Plug in the values into the formula to find "i"

$i = \frac{44}{100}(23 + 1)$

$i = \frac{44}{100}(24)$

$i = \frac{1,056}{100}$

$i = 10.56$

Since "I", 10.56, is not an integer, round the number down, and round it up to the nearest integer, then look for the position each occupy in the ordered data set, and find their average.

Thus,

$i_{down} = 10.56 = 10$

$i_{up} = 10.56 = 11$

The data occupying the 10th position on the data set = 28.7

11th = 31.1

$P_{44} = \frac{28.7 + 31.1}{2} = \frac{59.8}{2}$

$P_{44} = 29.9$

6 0

3 years ago

How do you solve this? <br>Y x 49/36=7/12

Triss [41]

Divide both sides by 49/36 to get y by itself:

$\frac{7}{12} \div \frac{49}{36}$

$\frac{7}{12} \times \frac{36}{49} = \frac{254}{588}$

Simplify this fraction:

$\frac{254}{588} \div \frac{2}{2} = \frac{127}{294}$

Now you have your answer:

$y = \frac{127}{294}$

5 0

3 years ago

joshua can wash 5 cars in 1 hour and jason can wash 3 cars in one hour. at this rate, how long will it yake joshua and jason to

zvonat [6]

The answer is 3 hours 40 minutes

3 0

3 years ago