Solve each equation for y (get into slope-intercept/y=mx + b form): a) 10x + 5y = 20 b) 3x - 2y = 10 + 4x
Don't forget to explain how you got the answers.

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

We want to solve each equation for y, so y must be alone on one side of the equation.

a) 10x + 5y = 20

Subtract 10x from both sides.

5y = 20 - 10x

Place the x term in front to follow  y = mx + b form.

5y = -10x + 20

We want to isolate y completely, so divide both sides by 5. On the right side, be sure to divide each component by 5.

5y/5 = -10/5x + 20/5

y = -2x + 4

This equation is in slope-intercept form.

b) 3x - 2y = 10 + 4x

We can see that y is negative in this original equation. Let's add 2y to both sides to make y positive.

3x = 10 + 4x + 2y

Now we want to isolate y, so subtract 4x from both sides.

3x - 4x = 10 + 2y

Simplify.

-x = 10 + 2y

Isolate y further by subtracting 10 from both sides.

-x - 10 = 2y

Again, we want to isolate y completely, so divide both sides by 2. On the left side, be sure to divide each component by 2.

-x/2 - 10/2 = 2y/2

-1/2x - 5 = y

This looks backwards (although it is in slope-intercept form), so let's rearrange it just to make it more clear.

y = -1/2x - 5

This equation is in slope-intercept form.

Hope this helps!


Related Questions

I'll give brainliest​

Answers

[tex]\Large{\underline{\mathcal{ Given: }}}[/tex]

ᴇǫᴜᴀᴛɪᴏɴ: 12x - 30 = 6

[tex]\Large{\underline{\mathcal{ To Find : }}}[/tex]

value of x .

[tex]\Large{\underline{\mathcal{ Solution: }}}[/tex]

➦ 12x - 30 = 6

➦ 12x = 30 +6

➦ 12x = 36

➦ x = 36 /12

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ x = \frak{\blue{ 3 }}}}}[/tex]

━━━━━━━━━━━━━━━━━━━━━━━━━━━

QUESTION

1. Which value of x will make the equation 12x - 30 = 6 true?

CHOICES 2 -3 -2 3

SOLUTION12x - 30 = 612x = 6 + 3012x = 36/12x = 3

ANSWERThus, the value of x is 3

Marking brainliest !!

Pls help

Answers

Answer:

For "I have a Dream", it is focused on America as a whole and to one day have people of all races to be treated equally. Letter from a Birmingham Jail was focused more on a group of white clergy.

The letter from a jail was basically focused on the white. The” I have a dream” is focused on all America wishing that one day everybody would be treated equally with no discrimination.

You roll two dice while playing a game, hoping that you will either roll a 5 or a 12.
What is the probability that you will roll what you want?

Answers

Answer:

2/12

Step-by-step explanation:


The sum of 4 consecutive odd numbers is 1040. Find the numbers.

Answers

Answer:

257+259+261+263 = 1040

Step-by-step explanation:

Name the 3-D shape that the net represents.

Answers

Triangular prism Bc it is that’s exactly what it is

!!NEED THIS NOW PLS!!Expand the logarithmic expression

Answers

Answer:

B)

Step-by-step explanation:

we are given a logarithmic expression

we want to expand it

in order to do so we can consider using

exponent logarithm propertydivision logarithm property

recall that,

[tex] \displaystyle \sqrt{x} = {x}^{ \frac{1}{2} } [/tex]

thus rewrite

[tex] \displaystyle \log_{ \sigma} \bigg( \frac{57}{74} \bigg) ^{ \large\frac{1}{2} } [/tex]

use division logarithm property

[tex] \displaystyle \log_{ \sigma}(57) ^{ \large\frac{1}{2} } - \log_{ \sigma}(74)^{ \large \frac{1}{2} } [/tex]

use exponent logarithm property:

[tex] \displaystyle \frac{1}{2} \log_{ \sigma}(57) ^{ \large } - \frac{1}{2} \log_{ \sigma}(74)^{ \large } [/tex]

and we are done!

What is the volume of this cone?

Answers

Answer:

50π or 157.07963267949 plus whatever it is in (inches, feet)

Step-by-step explanation:

Please help me I’m really stuck

Answers

Answer:

/ 3=/ 5 { alternate anglea}

/ 5+/6 =180° {straight angle}

/ 6=180-26

/ 6=154°

hope it helps

stay safe healthy and happy.

i do t really know how to do this pls help

Answers

Answer:

for number 5 Subtract 18 from both sides of the equation

4+18−18=30−18

for number 1 Subtract 7 from both sides of the equation

so number 3 subtract 3 from each side and so on hope it helps

im not sure how to explain it but--

for example.. the first one

1) y + 7 = 12

first, you subtract 7 from both sides

so-- you'll subtract 7-7 on the left and 12-7 from the right

now, you have y by itself since 7-7 = 0

y = 12-7, or y = 5

also its important to note that when the equation is like 2) and uses subtraction (x-4) instead of addition (y +7)-- then you add to both sides

so for 2)-- you'd add 4 to both sides for 4 to cancel out to equal 0

your goal is always to isolate the variable on one side

Using the side-splitter theorem, Daniel wrote a proportion for the segments formed by line segment DE. What is EC? 2 units 2.4 units 3 units 3.75 units

Answers

Answer:

The answer is "2.4 units "

Step-by-step explanation:

Please find the complete question:

[tex]EC = x\\\\\frac{5}{3} = \frac{4}{x}\\\\5x = 4(3)\\\\5x = 12\\\\x = \frac{12}{5}\\\\x = 2.4[/tex]

Answer:

B. 2.4

Step-by-step explanation:

5/3 = 4/EC

EC = 4 (3/5) = 12/5 = 2.4

Please I need help! I need to find the Cosine of A

Answers

Answer:

cos A = 12/13 = 0.9231

(angle A = 22.62°)

Step-by-step explanation:

cos A = 12/13 = 0.9231

ANSWER=

cos A = 12/13 = 0.9231

(angle A = 22.62°)

EXPLANTION=

cos A = 12/13 = 0.9231

Find the midpoint of the line segment whose endpoints are the given points. (-24.6, 38.1) and (-25.7, -17.7)

Answers

Answer:

Midpoint is[tex](-25.15,10.2)[/tex]

Step-by-step explanation:

A line segment refers to line that has two endpoints.

Let [tex](a,b),(c,d)[/tex] be the endpoints of a line segment.

Midpoint of the line segment is given by [tex](\frac{a+c}{2} ,\frac{b+d}{2})[/tex]

Take the given points as follows:

[tex](a,b)=(-24.6,38.1)\\(c,d)=(-25.7,-17.7)[/tex]

Midpoint of a line segment [tex]=(\frac{-24.6-25.7}{2},\frac{28.1-17.7}{2})[/tex]

[tex]=(\frac{-50.3}{2} ,\frac{20.4}{2} )\\=(-25.15,10.2)[/tex]

Eric used a semicircle, a rectangle, and a right triangle to form the figure shown. What is the best estimate of the area of the figure in square feet>

Answers

Answer:

D.

Step-by-step explanation:

Select the equivalent expression.
1
=?
92
Choose 1 answer:

CA
9
12
2
B
9
9-2

Answers

Answer:

c

Step-by-step explanation:

[tex]\frac{1}{9^{2} }[/tex]=1/81

[tex]9^{\frac{1}{2} }[/tex] =3

[tex]\frac{1^{2} }{9}[/tex]=[tex]\frac{1}{9}[/tex]

[tex]9^{-2}[/tex]=1/81

Brainliest goes to whoever answers correctly plzz help

Answers

Answer:

all are functions except  the graph because if u use a ruler it touches the lines more than once at one time

Step-by-step explanation:

mrk me brainliest plz

5g(8g+6) expand please ! due tomorrow !

Answers

Answer:

45g² + 30g

Step-by-step explanation:

5g(8g+6)

Distribute 45g² + 30g

Answer:

[tex]\huge{\boxed{\boxed{\tt { Answer :-}}}} \ [/tex]

[tex]5g(8g + 6) \\ =( 5g \times 8g) + (5g \times 6) \\ = 40g {}^{2} + 30g[/tex]

➟ Answer :- 40g² + 30g

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

x=48
explanation: all triangles have 180 degrees.
90+42=132
180-132=48

Answer:

48

Step-by-step explanation:

180=x+90+42 (sum of angles of triangle)

180=x+132

180-132=x

48=x

During snack time at preschool,the teacher divided 3/4 of a gallon of milk evenly among 6 students. How much milk did each student get?

Answers

United States Gallon or Imperial?

In Frank's piggy bank, there are only quarters
and dimes. He has 37 coins, and has a total of
$5.50. How many quarters does he have?

Answers

Answer:

12 quarters

Step-by-step explanation:

number of quarters ---------x

number of dimes ------------y

therefore, x + y = 37---------------times 10 both sides --------10x + 10y = 370-------equation 1

              0.25x + 0.1y = 5.5 -----times 100 both sides -------25x + 10y = 550 ------equation 2

equation 2 minus equation 1 is 25x + 10y - 10x - 10y = 550 - 370 ------ 15x = 180 -------x = 12

there are 12 quarters

Find the perimeter of the figure. Record answer in radical form on the line.

Answers

Answer:

28√3

Step-by-step explanation:

√12 + √12 + 4√27 + 4√27 = 28√3

Determine the area the of the figure in terms of x

Answers

Answer:

10 x² - 4x

Step-by-step explanation:

Area trapezoid = 1/2 ( (b1+b1)h)

1/2( 2x * 10x - 4)

1/2(20x² - 8x)

10x² - 4x

If my answer is incorrect, pls correct me!

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

-Chetan K

7 and 8 I’ll give 20

Answers

Answer:

2 and 3 i guess hope this helps

Answer:

for seven no questions and is 12 and for 8 no question is 5

A savings account starts with $250. It earns $30 in 2 years. Find the
rate of interest

Answers

Answer:

The annual interest rate is 6%

Step-by-step explanation:

Use the formula for simple interest:  i = prt.

Set i = prt equal to $30:  $30 = prt

Solve this for r:

         $30

r = -------------- = ($30) / ($500)  = 0.06

      $250(2)

The annual interest rate is 6%

A table of values of a linear function is shown below. Find the output when the input is n Type your answer in the space provided.
input 1 2 3 4 n
output -7 -10 - 13 -16

Answers

Answer:

i saw someone else ask  this question i'm trying to remember the answer

Step-by-step explanation:

At school, 588 students bought a school
shirt, and 147 students did not. What
percent of the students bought a school
shirt?

Answers

Answer:

80%

Step-by-step explanation:

Step 1: Add the given data

588 + 147 = 735

Step 2: Divide the number of students who bought a school shirt by the total number of students

588 ÷ 735

= [tex]\frac{735}{588}[/tex]

= 0.8

Step 3: Convert the decimal to fraction

0.8 = 80% (Move the zero 1 place behind the number and remove the ".")

Or

0.8 × 100 = 80%

Therefore, 80% of students bought a school shirt.

Brainliest goes to whoever answers correctly try to show work ONLY if you can also if you want more points answer my other questions

Answers

Answer:

Hi, there your answer will be C. y=33/2x+425

Step-by-step explanation:

I tired uploading the picture on how I got my answer, but it keep saying inaapriate words which I didn't even said anything bad, but yeah trust me the answer is right.

i need help asap please:)​

Answers

Answer:

The answer is -5/24.

Step-by-step explanation:

Answer:

A = -5/24

Step-by-step explanation:

1/2 (1/4 - 2/3)

1/2 (3/12 - 8/12)

1/2 (-5/12)

= -5/24

If a tessellation is regular, how many sides can the tessellating regular
polygon have?
Check all that apply.
A. 3
B. 5
C. 4
D. 10
E. 9
F. 6

Answers

Answer: 3, 4, 6

Step-by-step explanation: equilateral triangle, square, regular hexagon

In a regular tessellation 3,4,6 sides can be tessellating regular

polygon.

What is regular polygon?

A normal tessellation is one made the use of only one regular polygon. A semi-normal tessellation uses or extra ordinary polygons. Triangles and squares, for example, shape ordinary tessellations and octagons and squares for a semi-normal tessellation.

First of all, there are handiest 3 normal tessellations which can be triangles, squares, and hexagons. To make a ordinary tessellation, the inner angle of the polygon has to be a diviser. that is due to the fact the angles need to be introduced as much as so it does now not leave any gaps.

A polygon having identical facets of identical lengths are known as everyday polygons. A ordinary polygon is a polygon that is equiangular i.e. all the angles are equal in measure and equilateral i.e. all facets have the equal length.

A line of symmetry is a line that can be attracted to divide a parent into same halves. A determine has line symmetry or reflection symmetry while it could be divided into identical halves that match. A discern has mirrored image symmetry if it could be meditated throughout a line and look exactly the same as it did earlier than the reflection.

Learn more about regular polygon here:-https://brainly.com/question/1592456

#SPJ2

Find the slope of the line that passes through the points given in the table.

Answers

Answer:

-1

Step-by-step explanation:

The change in y between x=-1 and x=2 is -3 and -3/3=-1 so the slope is -1

Answer:

-1

Step-by-step explanation:

Use any 2 points on the line.

Let's use (10, -6) and (2, 2).

slope = (difference in y)/(difference in x)

slope = (-6 - 2)/(10 - 2)

slope = -8/8

slope = -1

Turner's school is due west of his house and due south of his friend Pete's house. The
distance between the school and Pete's house is 16 kilometers and the straight-line distance
between Turner's house and Pete's house is 20 kilometers. How far is Turner's house from
school?

NO LINK I NEED A REAL ANSWER.

Answers

The distance is 12 km
Other Questions
BrainliestThe greatest biodiversity of species of living organisms is found in aDesertRain ForestEstuaryTaiga How many molecules are in 4.67 mols of H2O Describe the snail color that will offer the greatest selective advantage if the trends shown in graph 2 continue. Use evidence from the information on banded snails to support your claim. Vertie rode 3.5 kilometers on a bike. His friend Valene rode 2 000meters on a bike.How much farther in kilometers did one person ride than the other? What is the circumference of a 2 m circle How was the life of our early ancestors Who is the 14th President?A. President Obama B. President Garfield C. President Abraham D. President Clinton 85 orders in 17 days = ? orders in 12 days 1.These cars are produced in japan change to active Fourteen years time a mother will be twice as old as her son.Four years ago the sum of their ages was thirty .Find their ages PLS HELP ME ON THIS , WILL MARK BRAINLIEST The radius of a circle is 25 centimeters..Enter the circumference of the circle, in centimeters. Round your answer to the nearest hundredth ASAP plss help me with these questions I will give brainlest 10.When did the French withdraw troops from Mexico? What encouraged them to do so?16. Name some US cities that may celebrate Cinco de Mayo. Why might these areas celebrate Cinco de Mayo? PLEASE HELP BRO IM FAILING MATH Two people meet in the purple room on the fourth floor of a building. On departure, one person travels West 20 feet, South 12 feet, and Down 12 feet. The other person travels North 20 feet, East 10 feet, and Up 12 feet. How far apart are the two people? Round to the nearest tenth. What is the answer?I need help like... ASAP Sometimes we are infected with infectious agents and never know it true or false oihneroigelrignerg please dont hurt me- In LMN, l = 6.9 cm, m = 8.1 cm and n=8.8 cm. Find the measure of N to the nearest 10th of a degree. PLS HELP I WILL GIVE BRAINLIEST 1- If you are driving at a constant speed of 55 miles per hour, give an estimate of how many miles you will travel in 1 hour and 20 minutes. 2-Anthony paid $36.25 for about 11.5 gallons of gas. Estimate the price for one gallon of gas. Write an expression that represents each statement.3.The total cost of my cell phone bill for the 1st month, if I am charged a standard installation fee of $50 plus .50 cents for each channel that I have in my package.