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marishachu [46]

3 years ago

5

Which linear function includes the points (3,9) and (-2,-11)

2 answers:

Murrr4er [49]3 years ago

7 0

$General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\\\To\ find\ a\ and\ b\ substitude\ points\ (3,9),\ (-2,-11)\ into\ equation\\\\ \left \{ {{9=3a+b}\ \ \ \ \atop {-11=-2a+b\ |*-1}} \right.\\\\ \left \{ {{9=3a+b}\ \ \ \ \atop {11=2a-b}} \right.\\+----\\\\Addition\ method\\\\20=5a\ \ |:5\\\\a=4\\ b=9-3a\\b=9-3*4=9-12=-3\\\\Answer\ y=4x-3
$

Charra [1.4K]3 years ago

3 0

(2,1) is the answer

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What to pieces of information do you need to notify the equation of a line

Butoxors [25]

Answer:

The slope and the y-intercept when you’re in y-intercept form.

4 0

3 years ago

Identify the coefficient of −24x7y3

Sloan [31]

The coefficient of these two number are -24 and 7. :)

4 0

3 years ago

Read 2 more answers

3sina-4sin4a/sin5a<br> if a=-45 degree

Ierofanga [76]

Given:

The given expression is:

$\dfrac{3\sin a-4\sin 4a}{\sin 5a}$

To find:

The value of the given expression at $a=-45$ .

Solution:

We have,

$\dfrac{3\sin a-4\sin 4a}{\sin 5a}$

Substituting $a=-45$ , we get

$\dfrac{3\sin (-45)-4\sin [4(-45)]}{\sin [5(-45)]}$

$=\dfrac{-3\sin (45)+4\sin (180)}{-\sin (225)}$

$=\dfrac{-3\sin (45)+4\sin (180)}{-\sin (180+45)}$

$=\dfrac{-3\sin (45)+4\sin (180)}{\sin (45)}$

On substituting $\sin (180)$ , we get,

$=\dfrac{-3\sin (45)+4(0)}{\sin (45)}$

$=\dfrac{-3\sin (45)+0}{\sin (45)}$

$=\dfrac{-3\sin (45)}{\sin (45)}$

$=-3$

Therefore, the value of the given expression at $a=-45$ is $-3$ .

8 0

2 years ago

Solve (3x-4)-(5x-3) and simplify the answer!

AnnyKZ [126]

Answer:

-2x-1

Step-by-step explanation:

(3x-4)-(5x-3)

Distribute the minus sign

3x-4-5x+3

Combine like terms

3x-5x -4+3

-2x-1

7 0

2 years ago

Isabella ran the 100-meter dash five times. The time it took her to complete each race, in seconds, was 12.7, 12.807, 12.78, 12.

Stells [14]

Given:

Number of 100-meter races = 5

The time it took Isabella to complete each race, in seconds, was 12.7, 12.807, 12.78, 12.08, and 12.087.

To find:

The decimals in order from greatest to least.

Solution:

The time it took Isabella to complete each race, in seconds, was shown below:

12.7, 12.807, 12.78, 12.08, 12.087

We need to arrange this data in descending order.

In all 5 numbers the digits before decimals are same. On comparing the digits on the tenth place and hundredth place, we get

12.807 > 12.78 > 12.7 > 12.087 > 12. 08

Therefore, the required order of given data is 12.807, 12.78, 12.7, 12.087, 12. 08.

7 0

2 years ago