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3 years ago

Write the equation of the line with a slope of 24 and a y-intercept of -5

Mathematics

1 answer:

zmey [24]3 years ago

8 0

Answer:

$y=24x-5$

Step-by-step explanation:

General slope intercept form equation of straight line is given as

$y=mx+b$

where m is slope and b is y-intercept

here m=24 and b=-5

Therefore

$y=mx+b=24x-5$

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What is the solution to the following system?

leva [86]

Answer:

(4,3,2)

Step-by-step explanation:

We can solve this via matrices, so the equations given can be written in matrix form as:

$\left[\begin{array}{cccc}3&2&1&20\\1&-4&-1&-10\\2&1&2&15\end{array}\right]$

Now I will shift rows to make my pivot point (top left) a 1 and so:

$\left[\begin{array}{cccc}1&-4&-1&-10\\2&1&2&15\\3&2&1&20\end{array}\right]$

Next I will come up with algorithms that can cancel out numbers where R1 means row 1, R2 means row 2 and R3 means row three therefore,

-2R1+R2=R2 , -3R1+R3=R3

$\left[\begin{array}{cccc}1&-4&-1&-10\\0&9&4&35\\0&14&4&50\end{array}\right]$

$\frac{R_2}{9}=R_2$

$\left[\begin{array}{cccc}1&-4&-1&-10\\0&1&\frac{4}{9}&\frac{35}{9}\\0&14&4&50\end{array}\right]$

4R2+R1=R1 , -14R2+R3=R3

$\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&-\frac{20}{9}&-\frac{40}{9}\end{array}\right]$

$-\frac{9}{20}R_3=R_3$

$\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&1&2\end{array}\right]$

$-\frac{4}{9}R_3+R_2=R2$ , $-\frac{7}{9}R_3+R_1=R_1$

$\left[\begin{array}{cccc}1&0&0&4\\0&1&0&3\\0&0&1&2\end{array}\right]$

Therefore the solution to the system of equations are (x,y,z) = (4,3,2)

Note: If answer choices are given, plug them in and see if you get what is "equal to". Meaning plug in 4 for x, 3 for y and 2 for z in the first equation and you should get 20, second equation -10 and third 15.

7 0

3 years ago

Pls help me step by step faster if you can

Veronika [31]

Answer:

Step-by-step explanation:

If you meant to type x+1<21, then we simplify this inequality by subtracting 1 from both sides, ending up with x < 20.

I do not recognize what your "4" represents.

6 0

3 years ago

Use the slope formula to find the slope of the line that passes through the points (6,3) and (9,8).

dimaraw [331]

Answer:

d.5/3

Step-by-step explanation:

m=y2-y1/x2-x1

m=8-3/9-6=5/3

7 0

3 years ago

What operation can you use to solve the question?<br> 24 + m = 56

sweet [91]

Answer:

Subtraction.

to solve the equation you would subtract 24 from both sides.

3 0

2 years ago

Read 2 more answers

Find the length of the missing side

OLga [1]

a^2+b^2=c^2

a^2+24^2=25^2

a^2+576=625

a^2=49

a=7

The answer is 7.

4 0

3 years ago

Read 2 more answers

Write the equation of the line with a slope of 24 and a y-intercept of -5​

Write the equation of the line with a slope of 24 and a y-intercept of -5