100 points, pls help asap
Write the standard form of the line that contains a slope of
1/2 and y- intercept of 3. include your work in your final answer.

Answers

Answer 1

Answer:

[tex]x-2y=-6[/tex]

Step-by-step explanation:

The line contains a slope of 1/2 and has a y-intercept of 3.

And we want to write this in standard form.

Let’s first write it in slope-intercept form:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

So, substitute 1/2 for m and 3 for b. This yields:

[tex]y=\frac{1}{2}x+3[/tex]

We will convert this to standard form. The standard form is:

[tex]Ax+By=C[/tex]

Where A, B, and C are all integers, and A is positive.

We have the slope-intercept equation:

[tex]y=\frac{1}{2}x+3[/tex]

So, let’s multiply our slope-intercept equation by 2 to remove the fraction. This gives us:

[tex]2y=x+6[/tex]

Now, subtract x from both sides:

[tex]-x+2y=6[/tex]

The coefficient of x should be positive. So, multiply both sides by -1:

[tex]x-2y=-6[/tex]

Hence, our standard form is:

[tex]x-2y=-6[/tex]


Related Questions

A circle has its center at (6, –3). One point on the circle is (3, 1). Which is another point that lies on the circle?

Answers

Answer:

(4,0)

Step-by-step explanation:

i need help......................

Answers

Answer:

D. i think

Step-by-step explanation:

Hope this helps!

Answer:

D

Step-by-step explanation:

Consider the equation 3x + 1 = 2x + 5
(a) Why can't you determine whether this equation is true of false?

Answers

you can’t technically solve it because there’s no question

A helicopter is flying from Hong Kong to Jakarta. The latitude of Jakarta is -6.20°, and its longitude is 106.80°. The latitude of Hong Kong is 22.27°, and its longitude is 114.15°. What is the helicopter’s net change in latitude and longitude as it travels from Hong Kong to Jakarta?

A.
-28.47° latitude and 7.35° longitude
B.
-28.47° latitude and -7.35° longitude
C.
28.47° latitude and -7.35° longitude
D.
38.34° latitude and 220.95° longitude
E.
-38.34° latitude and 220.95° longitude

Answers

Answer:

The answer should be B

Step-by-step explanation:

to find the net change you need to do final minus initial. So the final would be Jakarta and the initial would be Hong Kong. so just subtract Jakarta's latitude from Hong Kong's and the same for longitude

Answer:

B also, I am this account. Im back guys. Gonna give away more points when I have enough points

Step-by-step explanation:

help me plz thank you i would mark brainlist

Answers

Answer: im not good at math

Step-by-step explanation:

Enter the equation of the line in slope-intercept form.
The line passes through (1.4) and (3,18).
The equation of the line is

Answers

Answer:  y = 7x - 3

graphed equation attached

Step-by-step explanation:  Slope-intercept form . y= mx+b

m is the slope, b is the constant, the y-intercept.

First find the slope:  rise/run  

Rise is the difference in y-values  18-4 = 14

Run is the difference between x-values  3 - 1 = 2

The Slope is 14/2   simplify:

m = 7

Use this calculated slope with values of y and x from either of the given coordinates and calculate b

y = mx + b

18 = 7(3) + b

18 = 21 + b .  subtract 21 from both sides  18 - 21 = 21 -21 + b

-3 = b

Put these calculated values for m and b into the slope-intercept equation"

y = 7x - b

Rosa is looking at a map of the park that is laid out on a coordinate plane. Rosa is at(1, -1). The shelter house is at (-2, -4) and the fossil exhibit is at (3, 2). Each unit on the map represents 100 feet. How much closer is rosa to the fossil exhibit than to the shelter house

Answers

Answer:

[tex]63.709feet[/tex]

Step-by-step explanation:

This deals with the distance between two pointsuse the equation [tex]distance=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}[/tex] So we do the follow stepsFind distance from Rosa to Shelter houseFind distance from Rosa to Fossil exhibitSubtract the two answers to see differenceSo distance from Rosa to Shelter, we use (1,-1) and (-2,-4) so you plug your points in as follows [tex](1,-1)=(x_1,y_1)[/tex] and [tex](-2,-4)=(x_2,y_2)[/tex]  so then[tex]distance=\sqrt{((-2)-(1))^{2}+((-4)-(-1))^{2}}\\ distance=\sqrt{(-3)^{2}+(-3)^{2}}\\ distance=\sqrt{9+9}\\ distance=\sqrt{18}=4.24264[/tex] approximately (round off as they require)Now putting that into feet [tex]4.24264*100feet=424.264feet[/tex] Then next, distance from Rosa to Fossil exhibit, we use (1,-1) and (3,2) so you plug your points in as follows[tex]distance=\sqrt{((3)-(1))^{2}+((2)-(-1))^{2}}\\ distance=\sqrt{(2)^{2}+(3)^{2}}\\ distance=\sqrt{4+9}\\ distance=\sqrt{13}=3.60555[/tex]    approximately (round off as they require)Now putting that into feet [tex]3.60555*100feet=360.555feet[/tex] So right away we know, Rosa is closer to the Fossil exhibit than the ShelterThen to know by how much we subtract the longer distance from the shorter so [tex]424.264feet-360.555feet=63.709feet[/tex]

Rosa is closer to fossil exhibit than shelter house.

What is Distance Formula?

The two points in the cartesian plane P(a, b) and Q(c, d) then the distance between P and Q is

PQ = √c-a )² + (d-b)²

The distance from Rosa to shelter house

d= √(-2-1)² + (-4 +1)²

d =√9 + 9

d = √18

d = 4.24

and, the distance from Rosa to fossil exhibit

d= √(3-1)² + (2+1)²

d =√4 + 9

d= √13

d= 3.6

Learn more about Distance formula here:

https://brainly.com/question/25841655

#SPJ2

Dee Anna has a roast that weighs 5.5 pounds. The recipe she is using calls for a roast that is 80 ounces. How many ounces does she need to cut off of the roast to make it the correct size?

Answers

Answer:

24

Step-by-step explanation:

well yea just trust me :)

Answer:

8 oz.

Step-by-step explanation:

there are 88 oz in 5.5 lbs.

the recipe calls for 80 oz.

subtract 88 from 80

answer - 8 ozs cut off.

Sam wants to fill a rectangular box with sand for his cat. What measure should be use to find out how much sand he needs to fill the box?

O surface area
O volume
O area
O lateral area

Answers

Answer:

volume

Step-by-step explanation:

He wants to FILL the box didn’t say cover it.

HOPE THIS HELPS’

PLZZ MARK BRAINLIEST

Answer:

The other person is correct, it is volume

Step-by-step explanation:

Legit took the test 1 minute ago

please can you help me?

Answers

Answer:

please can you help me?

5^18

Answer:

[tex]5^{18}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then

[tex](5^3)^{6}[/tex]

= [tex]5^{3(6)}[/tex]

= [tex]5^{18}[/tex]

-0.931 as a fraction​

Answers

Answer:

-0.931

-----------

1000

Step-by-step explanation:

-0.931 = -931/1000

a student has reflected the patterns as given below are the reflections correct and what advice would yiu give them

Answers

Answer:

Step-by-step explanation:

We need the rest of the question please.

what is 2/3i-3 simplified?

Answers

This is division of 2 complex numbers.


2__ =
3 - i

Multiply both numerator and denominator by conjugate number of the denominator.

2 * 3+ i =
3 - i 3 +i
separate the rational and irrational numbers from
each other


6 + 2i = 3 + 1 i
10 5 5

This is also division of 2 complex numbers into each other.

HELP
A political polling agency predicts candidate A will win an election with 54% of the votes. Their poll has a margin of error of 4% both above and below the predicted percentage. Which inequality represents the predicted possible percent of votes, x, for candidate A?

50 ≤ x ≤ 58
x ≥ 50 or x ≤ 58
x ≥ 52 or x ≤ 56
52 ≤ x ≤ 56

Answers

Try your best but I think the answer is the first one.

50 + 4 = 54

MARGIN OF ERROR - 4%

54 + 4 = 58

THE FIRST SHOULD BE YOUR ANSWER.

Answer:

Step-by-step explanation:

The answer is A

Subtract 25 from all and find out which is the most accurate.

25.32

25.76

24.73

Answers

Accurate to what??? I’m not understanding what that will help me with

please help me, I have asked this question two timed already. Also please show your work

the choices are..

2 three course meals
20 three course meals
7 three course meals
5 three course meals​​

Answers

Answer:

7

Step-by-step explanation:

15x is money for the people who have 3 course meals

12(10-x) =  120-12x is money for the people who have 2 courses.

15x+120-12x = 141

3x+120 = 141

3x = 21

x = 7

7 three course meals

comment if you need further explanation. I am here to help.

How much interest is earned on a principal of $646 invested at an interest rate of 5% for 2 years?

Answers

this is algebra 1 or 2

Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?
O
O
-5
--4
-3
-2 -1 0
2
3
+
4
5
O
+
-5 -4
-3
-2 -1
+
2
0
1
3
4
5
O
6
+
+
+
5
-5 -4
-2
-1
0
1
23
4
O
-5 -4
-2 -1
0
2
3
4
5
Up

Answers

Answer:

what is this you need to tell me what this is

Step-by-step explanation:

ok

The sum of two angles is 180 degrees. Their difference is 70
degrees.
What is the measure of the smaller angle?

Answers

Step-by-step explanation:

x+y=180

x=180-y------(i)

x-y=70------(ii)

Now,

Putting the value of x in equation (ii)

x-y=70

(180-y)-y=70

180+2y=70

2y=70-180

2y= - 110

y= - 110/2

y= - 55

Again,

x=180-(-55)

x=235

x-y=70

x-(-55)=70

x+55=70

x=70-55

x=15

(ASAPPP) The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the derivative.

Answers

Answer:

The instantaneous velocity at [tex]t = 2[/tex] is [tex]-6[/tex].

Step-by-step explanation:

We have the position as the function

[tex]s(t) = -2 - 6t[/tex]

As we know that the velocity is the rate of change of position over time, so it is basically the derivative of the function.

so finding the derivate of  [tex]s(t) = -2 - 6t[/tex]

∴ [tex]s'(t)=-6[/tex]

The instantaneous velocity at [tex]t = 2[/tex]

[tex]s'(2)=-6[/tex]

Therefore, the instantaneous velocity at [tex]t = 2[/tex] is [tex]-6[/tex].

Please note that the negative value indicates the direction of movement, in this case, it would be backward.

Bridget was flying her new kite, which was at an elevation of 85 feet. A strong gust of wind caused the kite to drop 20 feet

Answers

Answer:

There is no question but 85-20=65

Step-by-step explanation:

Given: AE= 7 5/8cm, AB=BC, CD= 1/2cm, and DE is 3/8 more than AB. What is the length of DE?

Answers

Answer:

Length of DE = 2.90 (Approx)

Step-by-step explanation:

Given:

AE = 7[tex]\frac{5}{8}[/tex]cm = 61 / 8 cm = 7.625 cm

AB = BC

CD = 1/2 cm = 0.5 cm

DE is 3/8 more than AB

Find:

Length of DE

Computation:

Assume;

AB = BC = x

So,

DE = x + 3/8(x) = [11 / 8]x = [1.375]x cm

AE = AB + BC + CD + DE

7.625 = x + x + 0.5 + [1.375]x

7.125 = 3.375 x

x = 2.1111 (Approx)

Length of DE = [1.375][2.111]

Length of DE = 2.90 (Approx)

abc is isosceles a=48 and b=4x+4 x=?

Answers

Answer:

x=11

Step-by-step explanation:

=>4x+4=48

=>4x=48-4

=>x=44/4

=>x=11

A line is represented by the equation y/x−2=3/11 . Select all the coordinates of points that lie on the line.
A. (−163, −2)
B. (0, 2)
C. (5, 911)
D. (0, 611)

Answers

Answer:

To determine the answer, we must graph each point and the line.

According to this graph, the point that lies on the line is B. (0, 2).

*Note: the line shown on the graph is [tex]y = \frac{3}{11}x + 2[/tex], which is the equivalent of the one in the question. All I did was solve the equation for y to convert it to slope-intercept form.

Use the Law of Syllogism to draw a conclusion from the two given statements.
If a number is a multiple of 18,then it is a multiple of 9.
If a number is a multiple of 9, then it is a multiple of 3.
a
The number is a multiple of 3.
b
The number is a multiple of 9.
c
If a number is not a multiple of 3, then the number is not a multiple of 18.
d
If a number is a multiple of 18, then it is a multiple of 3.

Answers

Answer: B) if a number is a multiple of 18 then it is a multiple of 3

Step-by-step explanation:


click on photo
Need help ASAP! Please

Answers

In slope intercept form it would be
Y = -x -3

Answer:

y= -1x -3

Step-by-step explanation:

3x + 3y= -9

3y= -3x -9

y= -1x -3

Solve the inequality 2(x-4)<12

Answers

Answer:

x < 10

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define inequality

2(x - 4) < 12

Step 2: Solve for x

Distribute 2:                    2x - 8 < 12Isolate x term:                 2x < 20Isolate x:                          x < 10

Here we see that any number x smaller than 10 would work as a solution of x.

Find f (x)^-1 of f (x) = ....

(Look at picture)

Answers

Answer:

It's the last one

[tex] {x}^{2} + 6x[/tex]

The question is in the image! Please help if u can its due really soon

Answers

Answer:

59

Step-by-step explanation:

EOF + AOB + FOA = 180 degrees

FOA = COD (theyre on the same lines, directly across from each other)

EOF = 33

AOB = 88

EOF + AOB = 121

180-121=59

FOA = 59

COD = 59

What’s the answer? ;)

Answers

Answer:

Justin got 51 questions correct

Step-by-step explanation:

Find 85% of 60: 85% of 60 = [tex]\frac{85}{100}[/tex] × [tex]\frac{60}{1}[/tex]  [tex]\frac{85}{100}[/tex] × [tex]\frac{60}{1} = \frac{5100}{100}[/tex]  [tex]\frac{5100}{100} = \frac{51}{1} = 51[/tex]  So, 85% of 60 = 51

I hope this helps!

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