Write in standard form the equation of a line with a slope of -3/5 and a y intercept of -3

Answers

Answer 1

Answer:

5y+3x=-9

Step-by-step explanation:

Let us start by the general form of the standard equation, Ax+By=C. One way we can solve this problem is by finding the slope-intercept form of this equation, y=mx+b, and converting it into the standard equation. In the slope-intercept form, m represents the slope, b represents the y intercept.

From this problem, we are given both the slope and the y intercept. We know have the equation:

[tex]y=-\frac{3}{5}x -3[/tex]

Great! Now let us rearrange the terms so that the y and x terms are on one side of the equation.

[tex]y+\frac{3}{5} x=-3[/tex]

This seems right, but a standard equation must have coefficient values that are real numbers. So, A and B must be real numbers. We can do this by multiplying the entire equation by 5 and ridding the denominator of the A term.

[tex]5y+3x=-9[/tex]

I hope this helps! Please let me know if you have any questions :)


Related Questions

Type the number in standard form
4.21 x 10^4

Answers

Answer:

0.00042

Step-by-step explanation:

f(x) = x^2. What is g(x)?

Answers

Answer:

Step-by-step explanation:

(1;3) ∈ g(x) ⇒ Only D is

Answer:

Step-by-step explanation:

a. step one
b.step two
c. step three
d. Keisha did not make a mistake.

Answers

Answer:

d. Keisha did not make a mistake

Step-by-step explanation:

3+(-4)-7

3+(-4)+(-7) adding negatives is the same as subtracting

3+(-11) -4 and -7 do make -11

-8 3 and -11 do make -8

So she did it correctly, which means d is the right answer.

:) ur welcome

Can someone help me with this, pleasee.

Answers

Answer:

i will say the first one cannot, the second one cannot and the third one can

Step-by-step explanation:

but i am not 100% sure sry

Is there any more info on this?

Step-by-step explanation:

.

please help me fill in the blanks asap !!! the first question is a yes or no question. thankyou

Answers

Answer:

No, because the longest side is too short to be the hypotenuse of a right triangle.

Step-by-step explanation:

To see if the sides form a right triangle

6² + 8² = 9²

36 + 64 = 81

100 ≠ 81

The the 3rd side is too short

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x? Discriminant = b2 – 4ac –8

Answers

Answer:

32

Step-by-step explanati

everyone knows that

Answer:

[tex]16[/tex]

Step-by-step explanation:

The discriminant of a quadratic in standard form [tex]ax^2+bx+c[/tex] is given by [tex]b^2-4ac[/tex].

The quadratic [tex]-3=-x^2+2x[/tex] in standard form is [tex]-x^2+2x+3[/tex]. Thus, we can assign the following values:

[tex]a[/tex] of -1[tex]b[/tex] of 2[tex]c[/tex] of 3

Therefore, the discriminant of this quadratic is [tex]2^2-4(-1)(3)=4+12=\boxed{16}[/tex]

a rectangle is 12 feet long and 5 feet wide. if the length of the rectangle is increased by 25% and the width is decreased by 20% what is the change in the area of the rectangle

Answers

Answer:

60% decrease in area

Step-by-step explanation:

12 x5 == 60 sq feet (original area)

9 x 4 == 36 sq feet (new area)

36/60 = 6/10 = 60%

What is the approximate volume of the cylinder? Use 3.14 for π.

top of the cylinder is 9 bottom is 4


A. 324 cm3

B. 452.16 cm3

C. 734.76 cm3

D. 1,017.36 cm3

Answers

c. 734.76 cm3 espero que te sirva :)

Complete the equation of the line through (4,-8) and (8,5)

Answers

Answer:

y = 13/4x - 21

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-8) / 8 - 4

13/4

y = 13/4x + b

5 = 13/4(8) + b

5 = 26 + b

-21 = b

[tex]x^{2} -7x-18[/tex]

Answers

Answer:

(x - 9)(x + 2)

Step-by-step explanation:

x² - 7x - 18

x² + 2x - 9x - 18

x(x + 2) - 9(x + 2)

(x - 9)(x + 2)

Describe the interval shown using an inequality, set notation, and interval notation. (Picture attached!) Thank you!

Answers

Answer:

inequality: x > -3

Set notation: {x: x> -3}

Interval notation: [-3, ∞)

The interval can be described as inequality is x>-3, the set notation is {x: x>-3}, and the interval notation is [-3, α).

Which numbers can be shown on a number line?

The positive, negative, whole, and rational numbers can be mark on a number line. Numbers appearing on the right side of 0 are positive, and those reflected on the left side are negative.

The thick line on the picture starts at -3 and tends towards positive infinity.  So, it can be represented as inequality by x>-3.

The set notation can be described for x-axis elements since it is a line. The elements greater than -3 are present in it. So it can represented as {x :x> -3}.

The interval ranges from -3 to positive infinity; hence, it can be represented as [-3,α).

So we can conclude that the interval can be represented by an inequality as x > -3, the set notation contains elements greater than -3, and the interval ranges from -3 to positive infinity.

To learn more about number line, use the link given below:

https://brainly.com/question/13189025

#SPJ2

Find the percent change. Round to the nearest tenth of a percent when necessary. Indicate if the percent
change is an increase or decrease.
From 50 to 94.
46.8% derease
46.8% increase
88% derease
88% increase

Answers

Answer: 88% increase.

Answer: 88% increase

Find the slope of the line that contains
the points (3, 2) and (-3, 8).

Answers

Answer:

-1

Step-by-step explanation:

To find the slope given two points

m = ( y2-y1)/(x2-x1)

    = ( 8 - 2)/( -3 -3)

    = 6 / -6

    = -1

Please Help me need help

Answers

Answer:

-1 * (x/y)

Step-by-step explanation:

-x/y = x /-y

Factor out the negative

-(x/y) = -(x/y)

This is equal to -1 * (x/y)

cuanto es el p (x)-s(x)-q(x)

Answers

Answer:

sorry no answer

I apologize

can you construct a polygon with angles measures of 60, 60, and 62 degrees? explain your reasoning. ILL GIVE BRAINLIEST

Answers

Answer:

No

Step-by-step explanation:

Given 3 angles, the shape is a triangle.

The sum of all angles in a triangle = 180°

60° + 62° + 60° = 182°

Since it doesn't equal to 180°, it can't form a polygon

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

the diagram of g||h, with transversal f,

Answers

The answer maybe could be B

Can someone please help me figure this out. (y-6)+8 y=13

Answers

so you need to replace y with 13 so it would be (13-6)+8, then (7)+8=15 so the final answer is 15

Hi can someone help me

Answers

Answer:

D.  The average time spent is 11 average.

Step-by-step explanation:

The mean is the average.  The average time spent is 11 average.

In 1950, Alaska had a population of 138:643. By 1970, the population increased by
168,539. What was the 1970 population? (Write the operation and answer ) no links

Answers

138,643+168539 = 307,182

Question 9 of 25
Identify the type of function represented by +(*)-7.(3)*
O A. Exponential growth
B. Increasing linear
C. Decreasing linear
Ο Ο
D. Exponential decay
SUBMIT

Answers

This will be D.Exponential decay hope this helps

p+q/2; use p=1, and q=-1

Answers

Answer:

0

Step-by-step explanation:

Plug p and q in

1+-1/2

0/2

0

If this helps please mark as brainliest

Answer:

see below

Step-by-step explanation:

p+q/2

If

p  + q/2

1 + -1/2

1/2

If (p+q)/2

 (1-1)/2

0

Which solution finds the value of x in the triangle below?​

Answers

By 30-60-90 triangles, x is half of the hypotenuse, meaning that it is equal to 4

Need help ASAP I will give 20 points please

Answers

Answer:

Step-by-step explanation:

volume of cylinder=πr^2h

=3.14*4=2^2*6

=4=3.14*4*6

=3.14*24

=75.36

=75.4 inches ^3

=

The range of the data: 6,14,20,16,6,5,4,18,25,15, and 5 is
a. 4
b. 21
c. 25
d. 20

Answers

Answer:

21

Step-by-step explanation:

Range is the largest value minus the smallest value

25 is the largest value

4 is the smallest value

25-4 =21

Answer:

b. 21

Step-by-step explanation:

biggest number - smallest number

25 - 4 = 21

if you solve this ..

u are not human being .​

Answers

Answer:

I have not solved

Step-by-step explanation:

I am human being sonI didn't answer

Mark me as brainliest

solve the pair of simultaneous equations 2x+1y=7 1x-2x=1​

Answers

Step-by-step explanation:

which which equation you want me to use it to x + y is equal to 7 or 1 x - 2 xis equal to 1

1x-4=5
Yes yes
Yes yes yes

Which expression will simplify (3a + 6) (7a - 2)?

Answers

Answer:

63a + 6

Step-by-step explanation:

we have to first simplify this

(3a+6)(7a-2)

21a-6+42a+12

63a+6

Answer:

Step-by-step explanation:

Use FOIL method

(3a+ 6)(7a - 2) = 3a* 7a + (3a)*(-2) + 6*7a + 6*(-2)

                       = 21a² - 6a + 42a - 12   {Combine like terms}

                       = 21a² + 36a - 12

Solve the following trigonometric equation over the interval of [0,2π). Show your work, thank you!
[tex] \large{2sin \theta tan \theta = - 3}[/tex]

Answers

Answer:

[tex] \rm \displaystyle \theta = \{ {150}^{ \circ} , {240}^{ \circ} \}[/tex]

Step-by-step explanation:

we would like to solve the following equation:

[tex] \displaystyle 2 \sin( \theta) \tan( \theta) = - 3[/tex]

to do so we need to put the equation in term of a function of a angle therefore rewrite tanθ:

[tex] \displaystyle 2 \sin( \theta) \cdot \frac{ \sin( \theta) }{ \cos( \theta) } = - 3[/tex]

simplify multiplication:

[tex] \displaystyle \frac{ 2\sin^{2} ( \theta) }{ \cos( \theta) } = - 3[/tex]

cross multiplication:

[tex] \displaystyle 2\sin^{2} ( \theta) = - 3 \cos( \theta) [/tex]

isolate -3cosθ to left hand side and change its sign:

[tex] \displaystyle 2\sin^{2} ( \theta) + 3 \cos( \theta) = 0[/tex]

well we can rewrite sin²θ by applying Pythagorean theorem and that yields:

[tex] \rm \displaystyle 2(1 - \cos^{2} ( \theta)) + 3 \cos( \theta) = 0[/tex]

distribute:

[tex] \rm \displaystyle 2 - 2\cos^{2} ( \theta) + 3 \cos( \theta) = 0[/tex]

now notice that our equation ended up with a pattern and that is Quadratic thus by letting cosθ be x to transform the equation:

[tex] \rm \displaystyle 2 - 2 {x}^{2} + 3 x = 0[/tex]

rearrange it to standard form:

[tex] \rm \displaystyle - 2 {x}^{2} + 3 x + 2 = 0[/tex]

divide both sides by -1:

[tex] \rm \displaystyle 2 {x}^{2} - 3 x - 2 = 0[/tex]

well we can factor the quadratic to do so rewrite -3x as -4x+x:

[tex] \rm \displaystyle 2 {x}^{2} - 4 x + x - 2 = 0[/tex]

factor out 2x:

[tex] \rm \displaystyle 2x ({x}^{} - 2)+ x - 2 = 0[/tex]

factor out 1:

[tex] \rm \displaystyle 2x ({x}^{} - 2)+ 1(x - 2 ) = 0[/tex]

group:

[tex] \rm \displaystyle (2x + 1)(x - 2 ) = 0[/tex]

by Zero Product property we obtain:

[tex] \rm \displaystyle \begin{cases} 2x + 1 = 0\\ x - 2 = 0 \end{cases}[/tex]

cancel 1 from the first equation and add 2 to the e equation:

[tex] \rm \displaystyle \begin{cases} 2x = - 1\\ x = 2\end{cases}[/tex]

substitute back:

[tex] \rm \displaystyle \begin{cases} 2 \cos( \theta) = - 1\\ \cos( \theta) = 2\end{cases}[/tex]

since cosθ is only defined for the interval [1,-1] the second equation is false for any value of θ but we can still continue the first equation

[tex] \rm \displaystyle \begin{cases} 2 \cos( \theta) = - 1\\ \cos( \theta) \neq 2\end{cases}[/tex]

divide both sides by 2:

[tex] \rm \displaystyle \cos( \theta) = \frac{ - 1} {2}[/tex]

by unit circle we acquire:

[tex] \begin{cases} \rm \displaystyle \theta = {150}^{ \circ} \\ \theta = {240}^{ \circ} \end{cases}[/tex]

add period of 2nπ:

[tex] \begin{cases} \rm \displaystyle \theta = {150}^{ \circ} + 2n\pi\\ \theta = {240}^{ \circ} + 2n\pi \end{cases}[/tex]

for the interval [0,2π) θ is only defined when n is 0 Thus:

[tex] \begin{cases} \rm \displaystyle \theta = {150}^{ \circ} + 2(0)\pi\\ \theta = {240}^{ \circ} + 2(0)\pi \end{cases}[/tex]

simplify:

[tex] \begin{cases} \rm \displaystyle \theta = {150}^{ \circ} \\ \theta = {240}^{ \circ} \end{cases}[/tex]

hence,

θ is equal to 150° and 240°

The (blank) of the following set of data is 6.

13, 7, 9, 5, 2, 3, 5, 4, 10, 12

A. Mode
B. Mean
C. Median
D. Range

PLZ HELP

Answers

Answer: Median!

Step-by-step explanation: If it's easier you can just use this website so your math will be easier: https://www.calculatorsoup.com/calculators/statistics/mean-median-mode.php

Answer:

Firstly arrange the numbers in order then cancel from the beginning numbers to end numbers then middle one is the answer

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