Label each part of the equation. Write operation or variable<br> N-100+r=54

Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –y equals negative StartFraction one-third EndFr

DiKsa [7]

Answer:

$y=-\frac{1}{3} x+5$

Step-by-step explanation:

Notice that the answers they give you to choose from are all lines in slope y-intercept form, it would be very simple to just find the answer finding yourself the slope and y-intercept of the line in question.

Since they give you two points $(x_1,y_1)$ and $(x_2,y_2)$ for the line, use them to find the slope of the line that goes through them, with the formula: $slope=\frac{y_2-y_1}{x_2-x_1} =\frac{7-6}{-6-(-3)} =\frac{1}{-3} =-\frac{1}{3}$

Therefore, the slope of the line must be $-\frac{1}{3}$

Now, find the y-intercept (b) using the general form of a line with the given slope:

$y=-\frac{1}{3}x +b$

Use one of the given coordinate points to request that the line passes through it. For example, through the point (-3,6) (when x = -3, y must be 6):

$y=-\frac{1}{3} x+b\\6=-\frac{1}{3}(-3)+b\\6=1+b\\b=6-1=5$

then the y-intercept must be 5. Therefore our line is : $y=-\frac{1}{3}x +5$ which appears listed as your second choice.

8 0

2 years ago

Read 2 more answers

I'm confused I don't understand this??? Will give brainliest to whoever can help!

Nata [24]

Answer:

The Rome data center is best described by the mean. The New York data center is best described by the median

Step-by-step explanation:

Before moving forward, first we should understand that what is mean and median. Mean is the average of all the values in the data set. Median is the middle value of the data set in ascending order. As we noticed that there is an outlier in the data for NEW YORK (An outlier is an extreme value in the data set which is much higher or lower as compared to other numbers. It affects the mean value). Since outlier is found in the data of New York therefore mean is not a good representation on the central tendency of the data and gets distorted by the outlier. Therefore it is better to use median. While Rome does not have any outlier, so we can use mean for this.

Therefore we can say that the Rome data center is best described by the mean. The New York data center is best described by the median.

Thus option C is correct....

3 0

2 years ago

A pie was a radius of 4.25 inches

s2008m [1.1K]

Do you want to find the area for this or circumference. If you want to find the area, the answer will be about 56.7 square inches. Finally, if you want to find the circumference, the answer will be about 26.69 inches. Hope you get it!

8 0

2 years ago

How do you simplify (25/a -a l) / (5+a)

andrey2020 [161]

Simplify the following:

(25/a - a l)/(a + 5)

Put each term in 25/a - a l over the common denominator a: 25/a - a l = 25/a - (a^2 l)/a:

(25/a - (a^2 l)/a)/(a + 5)

25/a - (a^2 l)/a = (25 - a^2 l)/a:

Answer: ((25 - a^2 l)/a)/(a + 5)

7 0

2 years ago

For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7

Sloan [31]

Answer:

a) 6

Step-by-step explanation:

Expanding the polynomial using the formula:

$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k$

Also

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

I think you mean $210x^6y^4$

We can deduce that this term will be located somewhere in the middle. So I will calculate $k= 5; k=6 \text{ and } k =7$ .

For $k=5$

$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just $x^{n-k} y^k$

For $k=6$

$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$

5 0

2 years ago

Label each part of the equation. Write operation or variable N-100+r=54