Each table shows a proportional relatioship. fill in the missing values and determine k.

what is the equation in point-slope form of the line passing through (0, 5) and (−2, 11)? (1 point) y − 5

makkiz [27]

According to the question, the line is through the points $(0,5)$ and $(-2,11)$

To calculate the slope using standard formula that is :

$m = \frac{(y(2)-y(1))}{(x(2)-x(1))} = \frac{(11-5)}{(-2-0)} =\frac{6}{-2} = -3$

Now the slope equation will be: $m(x(2)-x(1)) = (y(2)-y(1))$

$y-5 =(-3)(x-0) = y = -3(x)+5$

The slope-intercept form is: $y = -3x+5$

What is the equation of the line?

To represent the set of points in an algebraic form is known as the equation of line. The set of points represent lines in the coordinate system. The parameters can be calculated and those parameters are slope and y-intercept.

To learn more about the equation of the line from the given link:

brainly.com/question/14037984

#SPJ4

5 0

1 year ago

A) be 85° 120° (2x - 10° X

Lunna [17]

Let's see what to do buddy...

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Step (1)

We know that the sum of the interior angles of any n-sided figure is obtained from the following equation :

$(n - 2) \times 180$

Our figure has 5 sides ;

So , sume the interior angles of it equals :

$(5 - 2) \times 180 = 3 \times 180 = 540 \\$

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Step (2)

First look at the photo which I post.

According it we have :

$(180 - x) + 120 + 85 + (2x - 10) + 90 = 540 \\$

$2x - x + 475 - 10 = 540$

$x + 465 = 540$

Subtract the sides of the equation minus 465 :

$x = 540 - 465$

$x = 75$

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And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

3 0

3 years ago

Fred buys a video game disk for 4$. there was a discount of 20%. what is the sales price?

enyata [817]

The answer is this: $3.60

4 x 10 = 40 - 0.4 = 3.6

4 0

3 years ago

Read 2 more answers

For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of

Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is $(-1)^{k+1}(\frac{1}{2^{k}})$ .

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as $(-1)^{k+1}(\frac{1}{2^{k}})$ .

where k is from 1 to 10.

By the given expression sequence will be $\frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......$

In this sequence first term "a" = $\frac{1}{2}$

and common ratio in each successive term to the previous term is 'r' = $\frac{\frac{(-1)}{4}}{\frac{1}{2} }$

r = $-\frac{1}{2}$

Since the sequence is infinite and the formula to calculate the sum is represented by

$S=\frac{a}{1-r}$ [Here r is less than 1]

$S=\frac{\frac{1}{2} }{1+\frac{1}{2}}$

$S=\frac{\frac{1}{2}}{\frac{3}{2} }$

S = $\frac{1}{3}$

Now we are sure that the sum of infinite terms is $\frac{1}{3}$ .

Therefore, sum of 10 terms will not exceed $\frac{1}{3}$

Now sum of first two terms = $\frac{1}{2}-\frac{1}{4}=\frac{1}{4}$

Now we are sure that sum of first 10 terms lie between $\frac{1}{4}$ and $\frac{1}{3}$

Since $\frac{1}{2}>\frac{1}{3}$

Therefore, Sum of first 10 terms will lie between $\frac{1}{4}$ and $\frac{1}{2}$ .

Option D will be the answer.

3 0

3 years ago

Plz stop doing this not cool

Andrew [12]

Answer: So True

Step-by-step explanation:

4 0

3 years ago