Mathematics High School

Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.

a) 3x+4y–12=0

b) 2x+y=1

Answers

Answer 1

Answer:

Step-by-step explanation:

Slope-intercept form of the equation is y = mx + c

Where m = slope of the line

c = y- intercept

a). 3x + 4y - 12 = 0 [Standard form of the equation of a line]

4y + 3x = 12

4y = 12 - 3x

[tex]y=\frac{1}{4}(-3x+12)[/tex]

[tex]y=-\frac{3x}{4}+\frac{12}{4}[/tex]

[tex]y=-\frac{3x}{4}+3[/tex]

Here slope of the line is [tex]-\frac{3}{4}[/tex] and y-intercept is 3.

b). 2x + y = 1

y = -2x + 1

Slope of the line is -2 and y intercept is 1

Related Questions

Kim is drawing a map of the different schools in her school district.she knows that her middle school is 10.6 miles away from the middle school that her best friend attends.if every 2 inches on the map represents 5 miles, how far apart will the two schools be on the map,to the nearest tenth of an inch

Answers

so Kim and her best friends are 10.6 miles away and we are trying to find out how many inches are they apart

10.6/5 = 2.12 
that equation represents how many miles away they are now we mulitply 
2.12x 2 to find a number of inches 4.24

Answer:

4.24 inches.

Step-by-step explanation:

In the map,

2 inches represents 5 miles,

Thus, we can write,

[tex]5\text{ miles}=2\text{ inches}[/tex]

[tex]1\text{ mile}=\frac{2}{5}\text{ inches}-----(1)[/tex]

Since, the actual distance between the two schools is 10.6 miles.

Multiplying both sides by 10.6 in equation (1),

[tex]10.6\text{ miles}=10.6\times \frac{2}{5}=\frac{21.2}{5}=4.24\text{ inches}[/tex]

Hence, the distance between the two schools in the map is 4.24 inches.

Compute the requested average. Tim Worker receives the following income monthly from a second job. Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec. $200 $150 $250 $260 $285 $380 $200 $225 $200 $250 $220 $150 In dollars and cents the average pay will be?

Answers

Ok,  all you have to do is add all the money together then divide it by how many numbers there are which is 12.

200 + 150 + 250 + 260 + 285 + 380 + 200 + 225 + 200 + 250 + 220 + 150 = 2770


2770 divided by 12 =230.83 is the average

7x=2x-35


A. 7

B.5


C.-5


D.-7

Answers

Find x you mean?
substract both side by 2x
5x=-35
divide both side by 5
x=-7
->D

Geometry help please?

4 questions.

Thanks!

Answers

Question 1:


           Statement                                          Reasons
m∠ABD + m∠DBC = m∠ABC         Angle addition postulate
60° + 40° = m∠ABC                        Substitution Property of equality
100° = m∠ABC                                 Simplpifying
∠ABC is an obtuse angle               Definition of obtuse angle

----------------------------------------------------------------------------------------------------------------

Question 2:

Statement                                               Reasons
AC = BD                                 Given
AC = BC + BD                        Segment addition postulate
AB + BC = BC + CD               Addition property of equality

----------------------------------------------------------------------------------------------------------------

Question 3:

Angle congruence postulate

---------------------------------------------------------------------------------------------------------------

Question 4:

Segment congruence postulate




What is the value of x in the equation 2x + 3y = 36, when y = 6

Answers

2x+3y=36

y=6

2x +3(6) = 36

2x +18 =36

2x = 18

x = 9

Answer:

The value of the provide expression is 9.

Step-by-step explanation:

Consider the provided expression.

[tex]2x + 3y = 36 [/tex]

We need to find the value of the expression, for x when y=6

Substitute the respective values in the provided expression.

[tex]2x + 3(6) = 36 [/tex]

[tex]2x + 18 = 36 [/tex]

[tex]2x= 36-18 [/tex]

[tex]2x= 18 [/tex]

[tex]x= 9 [/tex]

Hence, the value of the provide expression is 9.

The equation ax=0 has only the solution x=0 because

Answers

because anything multiplied by 0 is 0

Determine which equations below, when combined with the equation 3x-4y=2, will form a system with no solutions. Choose all that apply.
A) 2y = 1.5x - 2
B) 2y = 1.5x - 1
C) 3x + 4y = 2
D) -4y + 3x = -2

Answers

Two equations will not have solution if they are parallel and have different y-intercepts. Parallel lines have the same slope. In a slope-intercept form, the equation of the line can be expressed as,       
 
        y = mx + b 

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

Given: 3x - 4y = 2
Slope-intercept: y = 3x/4 - 1/2

A. 2y = 1.5x - 2
Slope-intercept: y = 3x/4 - 1

B. 2y = 1.5x - 1
Slope-intercept:  y = 3x/4 - 1/2

C. 3x + 4y = 2
Slope-intercept:  y = -3x/4 + 1/2

D. -4y + 3x = -2
Slope-intercept: y = 3x/4 + 1/2

Hence, the answers to this item are A and D. 

Answer: D,B,B,C,D,A,C,B,D,  (A-D)

ALL TEST ANSWERS

Step-by-step explanation:

Please help me. Thank you.

Answers

1 is 80 because:
3m + 20 + 5m = 180
8m + 20 = 180 
8m = 160 
m = 20
Then 3(20) +20 = 80 because of vertical angles. 

The second one is 15 because of vertical angles. 2*115 = 230. 50*50 = 100. Add these up and you get 330. This leaves 30 missing degrees among the two remaining angles. Since the two remaining angles are congruent because they are vertical, you can divide 30 by 2 to get 15. 

Sarah said that 0.00001 is bigger than 0.001 because the first number has more digits to the right of the decimal point. Is Sarah correct? Explain your thinking using negative powers of 10 and the number line

Answers

Sarah would be incorrect, because the more numbers after the decimal, the smaller the number would be, because it is further away from the number one.

The number 0.001 is greater than the number 0.00001. She is incorrect.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Sarah said that 0.00001 is bigger than 0.001 because the first number has more digits to the right of the decimal point. She is incorrect.

0.001 > 0.00001

Because the number 0.001 is greater than the number 0.00001.

More about the Algebra link is given below.

https://brainly.com/question/953809

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It is a week before the maths festival. A maths exhibitor costs £75.40 and so far 12 have been bought.

Answers

£904.80 have been bought.

ABCD is a kite, find the length of BD

Answers:

A. 8
B. 16
C. 12
D. 24

Answers

I think the answer is 16 but I’m not entirely sure

Identify the 35th term of an arithmetic sequence when a1 = −7 and a 18 = 95

Answers

The solution is on the photo.

The number of CDs sold has decreased each year. The graph shows the number of CDs sold in a given year. (coordinate graph) Which is a reasonable inference for the number of CDs at month 4?

Answers

From the graph shown, a reasonable inference for the number of CDs at month 4 is 1,000

In a test-cross of a heterozygous black guinea pig (bb), what is the probability that the first two (2) offspring will be white?

Answers

im pretty sure its 25%

In triangle ΔABC, ∠C is a right angle and CD is the height to AB, Find the angles in ΔCBD and ΔCAD if: m∠A = α

m∠DBC =
m∠DCB =
m∠CDB =
m∠ACD =
m∠ADC =

Answers

Refer to the figure shown below.

Given:
m∠C = 90°, because ∠C is a right angle.
m∠D = 90°, because CD is the height to AB.
m∠A = α

Because the sum of angles in a triangle is 180°, therefore
m∠DBC + 90° + α = 180°
m∠DBC = 90° - α

Again, for the same reason,
m∠DCB + m∠DBC + 90° = 180°
m∠DCB + 90° - α + 90° = 180°
m∠DCB = α

For the same reason,
m∠ACD + 90° + α = 180°
m∠ACD = 90° - α

m∠ADC = 90° (by definition)
m∠CDB = 90° (by definition)

Answer:
m∠DBC = 90° - α
m∠DCB = α
m∠CDB = 90°
m∠ACD = 90° - α
m∠ADC = 90°

Mayumi is constructing a line through point P that is perpendicular to RS←→. She places her compass on point P to construct an arc. What must be true about the width of the compass opening when Mayumi draws the arc?


A. It must be equal to PS .

B. It must be greater than 12RS.

C. It must be wide enough so that the arc intersects RS←→ in two points.

D. It must be equal to PR .

Answers

Answer:

Width of the compass should be more than the smallest space between P and RS, so that it cuts RS at two distinct points. Therefore, it must be wide enough so that the arc intersects RS←→ in two points. The photo is attached so that you can understand it more.

Graph f(x)=34x+2. Use the line tool and select two points to graph the line.

Answers

we have

[tex]f(x)=\frac{3}{4}x+2[/tex]

To graph the linear equation find the intercepts

we know that

The x-intercept is the value of x when the value of the function is equal to zero

The y-intercept is the value of the function when the value of x is equal to zero

so  

Find the y-intercept

for [tex]x=0[/tex]

[tex]f(x)=\frac{3}{4}*0+2=2[/tex]

the y-intercept is the point [tex](0,2)[/tex]

Find the x-intercept

for [tex]f(x)=0[/tex]

[tex]0=\frac{3}{4}x+2[/tex]

Multiply by [tex]4[/tex] both sides

[tex]0=3x+8[/tex]

[tex]x=-\frac{8}{3}=-2.667[/tex]

the x-intercept is the point [tex](-2.667,0)[/tex]

Plot the intercepts to graph the line

The answer in the attached figure

Answer:

the answer is (-2,0) and (0, 2)

Good luck!

A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.

Answers

Ok so a jar can hold three-fourths of pounds of flour right, so that's the max it can hold, now Austin empties 1/2 of the pound into the flour, since he only emptied that much  that's how much he filled the jar with so your answer would be 1/2 or one-half since that's all he filled it with.

Answer: 1/2 or one-half

Step-by-step explanation:

What are the solutions to the inequality? Graph the solutions. x/5 greater than or equal to -2

Answers

x/5 > -2

">" is the greater than sign, and ">" means it is greater than or equal to since it is underlined. All you have to do now is put the inequality into slope-intercept form (y = mx + b) and plot the line on a graph.

In this inequality, -2 is y and x/5 is x. Just rearrange the terms while still keeping the answer the same.

x/5 > -2
-2 < x/5 Notice that the sign changed to "less than or equal to." This is because x/5 is still greater than or equal to -2, which makes -2 less than or equal to x/5.

Since it is "or equal to," we can discover what x could be by multiplying -2 by 5, which is -10. So the non-dotted line goes over the point -10 on the x-axis, straightly vertical without a slope, and everything that is greater than -10 is shaded, which is everything on the right side of the line. It should look like the attachment below.

A site titled "www.desmos.com/calculator" might help you in the future. I hope my explanation made sense!

am i correct ? geometry problem

Answers

Unfortunately your response would only be true if CD was perpendicular to AB. However we don't know if CD is perpendicular or not. So we don't have enough information. The actual answer is choice E) None of these.

Converting fractions to decimals worksheet 7th grade

Answers

No one can help you if you dont show us the work my dude. But the was to convert them is say you have 1/4 that is 25% of a whole. Sorry i couldnt help more repost the question with a link and people can help then.

A pack of cinnamon scented pancils sells for $7.00.What is the sales tax rate if the total cost of the pencils is $7.49?

Answers

The amount of sales tax rate on the scented pencils will be equal to 7%.

What is the Percentage?

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Price of scented pencils = $7

Price of pencils after-tax = $7.49

Then, the percentage of tax on the pencils will be,

= (7.49 - 7)/7 × 100

= 0.07 × 100

= 7%

To know more about Percentage:

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Look at the following expression.

5(3x + 2)


Which of the answer choices below is NOT an equivalent expression?

A.15x + 10
B.10x + 15
C.5 ∙ 3x + 5 ∙ 2
D.5(2 + 3x)

Answers

C is not equivalent to all the expressions

Which expression is equivalent to square root of 9x^2?

Answers

Let's take the square root of this

√(9x^2)

To make this easier, let's use the following property of roots.

√(ab) = √(a) * √(b)

Let's separate the square root into two different square roots.

√(9x^2)
= √(9) * √(x^2)

Now, let's solve for each square root individually.

√(9) = 3
√(x^2) = x

Now, combine them

3 * x = 3x

3x is your answer.

Have an awesome day! :)
9x^2 can be rewritten as 9*x*x or 3*3*x*x
You can think of 3*3*x*x as 3x*3x which is (3x)^2.

Now we can take the square root of (3x)^2 (which equals 9x^2).

√(3x)^2
The √ and the ^2 cancel out so you are left with 3x.

So, √9x^2 = √(3x)^2 = 3x.

3x is your answer!

Write the fraction 29 over 7 as a repeating decimal

Answers

4.1428571428571428571428571428571 it keeps repeating on and on after the point of the decimal.

using radicals, write an expression for the expression y 1/2

Answers

[tex]\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad \sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\ -------------------------------\\\\ y^{\frac{1}{2}}\implies \sqrt[2]{y^1}\implies \sqrt{y}[/tex]

Of 60 students, 24 students have a pet. What is the ratio of students with pets to students without pets?

Answers

5:2 no pets to pet

Hope this helps
60 - 24 = 36

the ratio of students with pets to without pets is 24:36

or simplified: 2:3

hope this helps

Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4. What is the residual value when x = 4?

Answers

The correct answer would be C.0.58

You plug 4 into the line of best fit and get 6.72. This is your predicted value, but the residual is the difference between the actual value and predicted. So you subtract: 7.3-6.72=0.58.

Solution:

The line of best fit is given as y=2.78x-4.4

We need to find the residual value when x=4.

The residual value is  an estimate of the wholesale value .To find the residual value we plug in x=4 in the given line of best fit.The corresponding y value will give the predicted  value.

y=2.78x-4.4

Substituting x=4,

y=2.78(4)-4.4

y=11.12-4

y=7.12.

The predicted value when x=4 is y=7.12.

Residual value = predicted value  - Actual value -=7.12 - actual value.

Describe the cross section

Answers

Answer:

D. Square

Step-by-step explanation:

A cross section is the shape that we get when we cut the object.

Here the given object is a cube.

It is cut straight through the middle.

Imagine a cube cut through the middle, when we look at the same on the top, we get square.

Since in a cube all the sides are equal.

Therefore, we get square when we cut the cube straight through the middle.

Answer: D. Square.

The cross-section of the shape in the image is a square.

Here's why:

The shape in the image is a cube.

A cube has six square faces.

When you cut a cube through the middle along any of its axes, the resulting cross-section will always be a square.

Therefore, the answer is D. square.

PLEASE HELP I NEED TO GET THIS CORRECT.

Answers

1. A 2.B 3.D 4.C 5.D  I cant see the full last one I feel confident about 90% correct I'm just not 100% because its hard to read some
For number 1 the correct answer is B: x^4

The correct answer for number 2 is B: b - 8

Correct answer for number 3 is C: The quotation of three and some number times five

For number 4 the correct answer is C: 10x + 5




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