Standard form equation

Standard Form Equation

Answers

Answer 1

Answer:

5x+4y=24

Step-by-step explanation:

So Ax+By=C is the standard form equation of a line.

y=mx+b (in which m is the slope and b is the y-intercept) is the equation that most people start off with.

Since the line intersects the y-axis at (0,6), the y-intercept is 6.

So, we can substitute 6 with b, which is y=mx+6.

Now, we can find the slope (m) by either inserting a known point (x,y) or using rise/run. Either way, you get the slope as -5/4 because we go five units DOWN and four units RIGHT from (0,6), one known point, to (4,1), another known point.

The y=mx+b equation becomes: y=(-5/4)x+6.

Now, we subtract (-5/4)x on both sides to get (5/4)x+y=6

Multiply 4 on both sides because standard form requires no fractions or decimals.

The final answer is 5x+4y=24.

That's your answer, fully simplified!


Related Questions

The system of equations Y equals -1/5 X -6 and Y equals negative 2X +3 is shown on the graph below

Answers

Answer:

The solution of the system is  (5, -7)

Step-by-step explanation:

Here we have the system:

y = (-1/5)*x - 6

y = -2*x + 3

We know that this system is graphed below, and the question is incomplete, but I assume that we want to find the solution to this system. If you can see the graph, the solution is just the point where both graphs intersect, but we can find the solution analytically.

We know that:

y = (-1/5)*x - 6

y = -2*x + 3

Then, we can write:

y =  (-1/5)*x - 6 = y =  -2*x + 3

This leads to:

(-1/5)*x - 6  = -2*x + 3

Now we can solve this for x.

(-1/5)*x + 2*x = 3 + 6

(-1/5)*x + (10/5)*x = 9

(9/5)*x = 9

x = (5/9)*9 = 5

x = 5

now that we know the value of x, we can input this in one of the two equations above to find the correspondent value of y, we will get:

y = -2*x + 3 = -2*5 + 3

y = -10 + 3 = -7

y = -7

Then the solution is:

x = 5 and y = -7, or (5, -7)

Alla and Balla together drink 750 milliliters (ml) of water. If Alla drinks 50% more than
Balla, how much does Alla drink?

Answers

Answer:

Step-by-step explanation:

A + B = 750

A = 1.5 B

~~~~~~~~~~~~~~

750-B = 1.5 B

750 = 1.5 B + B

750 = B(1.5 +1)

750 = B (2.5)

B = 300

A = 450

What is the area of the figure below

Answers

Answer:

the answer for that is 61.

Step-by-step explanation:

Kelly used the vertical line test to determine whether or not the curve that she had been given is a function. After conducting the vertical line test, Kelly determined that the curve is a function. Which of the following choices represents the result of Kelly’s vertical line test?

Answers

Answer:

0 or 1

Step-by-step explanation:

Given that Kelley  is tasked with having to use vertical line test to determine whether or not a curve is a function. Each vertical line that Kelly draws through her curve must intersect the curve at maximum one point only in order for thecurve to be a function

Answer is 0 or 1 point

The perimeter of the figure below is 41.6 in. Find the length of the missing side. (Note: diagram is NOT to scale)

Answers

Answer:

[tex]{ \tt{let \: that \: unknown\: side \: be \: x}} \\ { \boxed{ \tt{perimeter = (8 \times side)}}} \\ 41.6 = (3.2 \times 2) + (5.9 \times 5) + x \\ x = 5.7 \:in \\ { \bf{answer : 5.7 \: inches}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]

find the equation of the line shown
y =6 x=4

Answers

y - 6 = 0 ................ equation 1

x - 4 = 0 ................ equation 2

please help
Yaritza finds some nickels and pennies in her change purse. How many coins does she have if she has 140 nickels and 130 pennies? How many coins does she have if she has
n
n nickels and
p
p pennies?

Total coins, 140 nickels and 130 pennies: 270
Total coins,
n
n nickels and
p
p pennies:

Submit Answer

Answers

Answer:

270 coins

n + p

Step-by-step explanation:

Given that :

Number of nickels = 140

Number of pennies = 130

The total numbers coins had:

Number of Nickel + number of pennies

140 + 130 = 270 coins

If Number of nickels = n ; number of pennies = p

The total number of coins :

Number of Nickel + number of pennies

n + p

Of the following fractions: 9/19, 5/11, 7/15, and 11/23, which is the largest?

Answers

Answer:

silly question...I used technology to "cheat"

it is 11/23

34155 32775 33649 34485

72105 72105 72105 72105

Step-by-step explanation:

11/23 is considered the largest.

…aniwwjwwjaoqkqwgahw qjauaaj

Answers

Answer:

Undefined

Step-by-step explanation:

Lim x - - > 1(1 /In(2-x) + 1/(x-1))

To find the limit as x tends to 1

Substitute x = 1 into the function ;

(1 / In(2 - 1) + 1 / (1 - 1))

(1 / In 1) + (1 / 0)

1 / 0 + 1 / 0

Undefined

holaaaaaaaaaaaaaaaaa plz help i need this quick :)
Quadrilateral ARMY is rotated 90 degrees about the origin. Draw the image of this rotation.

Answers

Answer:

Step-by-step explanation:

If a point (x, y) is rotated 90° counterclockwise about the origin, rule for the rotation will be,

(x, y) → (-y, x)

Therefore, coordinates of the image point after the rotation will be (-y, x).

Following this rule,

Image points of the quadrilateral will be,

A(3, 3) → A'(-3, 3)

R(5, 7) → R'(-7, 5)

M(7, 5) → M'(-5, 7)

Y(5, 1) → Y'(-1, 5)

By graphing the image points we can get the graph of the image quadrilateral A'R'M'Y'.

Answer:

I got my answer on Khan Academy:

Take the area calculate the area of the circle around the answer to the nearest hundredth

Answers

Step-by-step explanation:

we cannot see anything, and you did not describe anything. so, there is nothing to calculate.

Below is the frequency distribution of the score of 40 learners. COMPUTE THE mean,median and mode. (10 points)

Class interval: frequency
56-63 1
48-55 10
40-47 12
32-39 6
24-31 3
16-23 8

Answers

Answer:

Mean = 6.66

Median = 7

Mode = 7.68

Step-by-step explanation:

According to the Question,

Given That, the frequency distribution of the score of 40 learners.  

Class interval   frequency

  56-63                    1

  48-55                   10

  40-47                   12

  32-39                    6

  24-31                     3

  16-23                     8

1). Mean = (Sum of all Observation) / (number of observation)

Mean = 40/6 = 6.66

2) For Median, If there are two number in the middle then you need to find their mean.  1  3   6   8  10  12  middle numbers are 6 and 8.

Median = (6+8) / 2 = 7

3) Mode = 3 × Median - 2 × Mean

Mode = 3×7 - 2×6.66

Mode = 7.68

Evaluate integral tan^6(2x) sec^4(2x) dx.

Answers

Answer:

Is the question original or you simply made it.

Layers of rock wear off during which of the following processes?
A: Expansion B: Contraction C: Exfoliation D: Pressure

Answers

Answer:

Exfoliation

Step-by-step explanation:

Changes in temperature cause rock to expand (with heat) and contract (with cold). As this happens over and over again, the structure of the rock weakens. Over time, it crumbles.

Rocky desert landscapes are particularly vulnerable to thermal stress. The outer layer of desert rocks undergo repeated stress as the temperature changes from day to night. Eventually, outer layers flake off in thin sheets, a process called exfoliation.

How would this quadrilateral be best classified, and what is the measure of Angle B?

Answers

Answer:

The quadrilateral is Rhombus

B=70°

Step-by-step explanation:

110+110+z+z=360

220+2z=360

2z=360-220

2z=140

z=140/2

Therefore, z=70

So Angle B=70

Since z= Angle B=Angle D

which of the following is a geometric sequence? ​

Answers

Answer:

The right answer is a.

Step-by-step explanation:

PLEASE MARK ME AS A BRAINLIEST

A.Calculate the mean,median and mode.(3 points each) 1.)1,2,3,4,5 2.)2,3,4,5,6,6 3.)6,7,5,4,5,6,2,5

Answers

Answer:

Step-by-step explanation:

1.)1,2,3,4,5

mean=sum of all values/number of values

         =1+2+3+4+5/5

         =15/5

mean=3

Mode :

In the given data, no observation occurs more than once.

Hence the mode of the observations does not exist, means mode=0.

Median

1,2,3,4,5

Middle value is 3 so the median is 3.

2.)2,3,4,5,6,6

mean=sum of all values/number of values

         =2+3+4+5+6+6/6

         =26/6

mean =4.33

Mode

      is that value of the observation which occurs maximum number of times so here mode is 6.

Median

2,3,4,5,6,6

 4+5/2

9/2

median=4.5

3.)6,7,5,4,5,6,2,5

mean=sum of all values/number of values

         =6+7+5+4+5+6+2+5/8

        =40/8

mean =5

Mode

is that value of the observation which occurs maximum number of times so here mode is 5

Median

2,4,5,5,5,6,6,7

5+5/2

10/2

median=5

 

Find the value of each variable. PLEASE HELP ME

Answers

Given:

A quadrilateral DEFG inscribed in a circle.

[tex]m\angle D=60^\circ, m\angle E=m^\circ, m\angle F=2k^\circ, m\angle G=60^\circ[/tex]

To find:

The value of variables [tex]m[/tex] and [tex]k[/tex].

Solution:

If a quadrilateral is inscribed in a circle then it is a cyclic quadrilateral. The opposite angles of a cyclic quadrilateral angle supplementary angles.

Quadrilateral DEFG inscribed in a circle. So, quadrilateral DEFG is a cyclic quadrilateral.

[tex]m\angle D+m\angle F=180^\circ[/tex]                [Supplementary angle]

[tex]60^\circ+2k^\circ=180^\circ[/tex]

[tex]2k^\circ=180^\circ-60^\circ[/tex]

[tex]2k^\circ=120^\circ[/tex]

Divide both sides by 2.

[tex]k^\circ=\dfrac{120^\circ}{2}[/tex]

[tex]k^\circ=60^\circ[/tex]

[tex]k=60[/tex]

Similarly,

[tex]m\angle E+m\angle G=180^\circ[/tex]

[tex]m^\circ+60^\circ=180^\circ[/tex]

[tex]m^\circ=180^\circ-60^\circ[/tex]

[tex]m^\circ=120^\circ[/tex]

[tex]m=120[/tex]

Therefore, the values of the variables are [tex]m=120[/tex] and [tex]k=60[/tex].

Find the midpoint of the line segment.

Answers

Answer:

-2,-3

Step-by-step explanation:

8)
8x + 6
14x - 2
A) 11
C) 8
B) -9
D) -7

Answers

Answer:

C) 8

Step-by-step explanation:

Consecutive angles are equal to 180. So 22x+4+180. Solve that to get x=8. Hope I helped and post more questions :)

de moirve's
(√3-i ÷ √3+i)^6 = 1

Answers

(√3 - i ) / (√3 + i ) × (√3 - i ) / (√3 - i ) = (√3 - i )² / ((√3)² - i ²)

… = ((√3)² - 2√3 i + i ²) / (3 - i ²)

… = (3 - 2√3 i - 1) / (3 - (-1))

… = (2 - 2√3 i ) / 4

… = 1/2 - √3/2 i

… = √((1/2)² + (-√3/2)²) exp(i arctan((-√3/2)/(1/2))

… = exp(i arctan(-√3))

… = exp(-i arctan(√3))

… = exp(-/3)

By DeMoivre's theorem,

[(√3 - i ) / (√3 + i )]⁶ = exp(-6/3) = exp(-2) = 1

If the circumference of the circle is 88 cm, then its radius is 14 cm. 


true or false? ​

Answers

Answer:

The radius is approximately 14 cm

Step-by-step explanation:

The circumference

C = 2 * pi *r

88 = 2 * pi *r

Divide by 2

44 = 3.14 *r

Divide by 3.14

44/3.14 = r

14.01273885=r

False is ur answer


88/2= 44

Help help help help help

Answers

Answer:yo we talking the same test

Step-by-step explanation:

Insta= santiagorez

Answer:

Radius , r = 5 units

Step-by-step explanation:

The standard form of a circle's equation:

  [tex](x-a)^2 + (y -b)^2 = r^2 \ , \ where \ (a , b) \ is \ the \ centre\ and\ r \ is \ the \ radius.[/tex]

Given equation :

  [tex]x^2 - 2x + y^ 2- 4y = 20\\\\[/tex]

Find radius .

Convert the given equation into standard form.

[tex](x - 1)^2 = x^ 2 - 2x + 1 \\\\(y - 2) ^2 = y^ 2 - 4y + 4\\\\[/tex]

Now add both equations :

  [tex](x - 1)^2 + (y - 2)^2 = r^2[/tex]

[tex](x ^ 2 - 2x + 1) + (y^2 - 4y + 4 ) = r^2\\\\(x^2 -2x + y^2 - 4y ) + 1 + 4 = r^2\\\\20 + 1 + 4 = r^2[/tex]          [tex][ \ given : \ x^2 - 2x + y^ 2 - 4y = 20 \ ][/tex]

[tex]25 = r^2 \\\\5 = r[/tex]

Review the graph.

On a coordinate plane, a circle has center (1, 0) and radius 5. Another circle has center (0, negative 4) and radius 4. Everything inside the second circle and between the first circle is shaded.

Which system of inequalities has the solution set shown in the graph?

25 < (x – 1)2 + y2 and 16 > x2 + (y + 4)2
25 > (x – 1)2 + y2 and 16 > x2 + (y + 4)2
25 < (x – 1)2 + y2 and 16 < x2 + (y + 4)2
25 > (x – 1)2 + y2 and 16 < x2 + (y + 4)2

Answers

Answer:

second option

Step-by-step explanation:

[tex]shaded~area\\(x-1)^2+y^2<25\\and\\(x+4)^2+y^2<16[/tex]

Answer:

A

Step-by-step explanation:

edge

not sure if this is the right question so i dont know if we're thinking about the same question...

Help me pleaseeeeeeeeeeeeeeeeeee

Answers

Answer:

Always a parabola or U Shaped

U shaped or by rotating U it will be like intersect symbol.. You can see it in attached file

Is it true or false that for all sets A, B, and C, A U (B - C) = (A U B) - C?

Answers

Answer:yes

Step-by-step explanation:66

The given statement  A U (B - C) = (A U B) - C is true.

What is a set ?

A set is collection of well defined objects.

According to the given question we have to state whether A ∪ ( B - C ) = ( A ∪ B ) - C.

Lets consider we have three sets A, B and C and we also consider they intersect each other.

( B - C ) represents the elements which belongs to B but not in C.

∴ A ∪ ( B - C ) represents the no. of elements which belongs to the set B but not in C union the no. of elements which belongs to A.

AND

( A ∪ B ) - C represents no. of elements which belongs to A or B but not in C.

learn more about sets here :

https://brainly.com/question/8053622

#SPJ2

If you put 5 things in your mouth and take 3 out and put them in another hole, how much things are inside of you?

Answers

Answer:

2

Step-by-step explanation:

5-3=2 it's simple really

Answer:

5-3=2

Hope This Helps!!!

What is a cubic function

Answers

Answer:

In mathematics, a cubic function is a function of the form f(x)=ax^3+bx^2+cx+d where the coefficients a, b, c, and d are real numbers, and the variable x takes real values, and a ≠ 0. In other words, it is both a polynomial function of degree three, and a real function.

The probability of spinning blue on a spinner is 0.3. If the spinner is spun 40 times, estimate how many times you would spin blue. A 3-sided sninner is snun 10 time 1​

Answers

Answer:

12 times.

Step-by-step explanation:

That would be 40 * 0.3 = 12.

if someone could help me i would aprshh

Answers

Answer:

Slope: -5/4

Step-by-step explanation:

Use slope (m) formula:

m = y2 - y1 / x2 - x1

m = 5 - 10 / 49 - 45

m = -5/4

Answer:

[tex]-\frac{5}{4}[/tex]

Step-by-step explanation:

Hi there!

Equation for the slope:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

To find the slope of the line, plug in any two points given in the table. For example, we can use the points (49,5) and (53,0):

[tex]=\frac{5-0}{49-53}\\=\frac{5}{-4}[/tex]

Therefore, the slope of the line is [tex]-\frac{5}{4}[/tex].

I hope this helps!

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