the slope pf a line is -8/7. Write a point slope equation of the line useing the coordinates of the labeled point (4,4)​

Answers

Answer 1

Answer:

[tex]\large\boxed{y-4=-\dfrac{8}{7}(x-4)}[/tex]

Step-by-step explanation:

The point-slope equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

We have the slope m = -8/7, and the point (4, 4). Substitute:

[tex]y-4=-\dfrac{8}{7}(x-4)[/tex]


Related Questions

Triangle BCD is isosceles and BC ≅ BD. What is the measure of ? 100° 120° 130° 160°

Answers

Answer:

C

Step-by-step explanation:

The measure of angle BC of the triangle is given by BC = 130°

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔBCD , where it is isosceles

And , the measure of BC ≅ BD

where Isosceles triangle C B D has points on the circle.

The measure of arc CD = 100°

Now , arc length is twice the inscribed angle.

2 x ∠B = CD

2 x ∠B = 100

∠B = 100/2

∠B = 50

Now, in an isosceles triangle, the angle opposite to the equal sides must be equal.

The sum of the three angles must be 180.

x + x + 50 = 180°

2x = 180 - 150

2x = 130°

Hence , the measure of angle BC = 130°

To learn more about triangles click :

https://brainly.com/question/23071868

#SPJ7

Look at the picture
↓↓↓↓↓↓↓↓↓↓

Answers

Answer:

2

Step-by-step explanation:

Answer:

The slope of line p is 3.

The slope of line q is -3.

Step-by-step explanation:

Points on line p  = [tex](x_1,y_2),(x_2,y_2):(1,-1), (0.-4)[/tex]

Slope of line p ,m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-4-(-1)}{0-(1)}=3[/tex]

The slope of line p is 3.

Points on line q  = [tex](x_1,y_2),(x_2,y_2): (0,2), (1,-1)[/tex]

Slope of line q ,m'= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m'=\frac{-1-2}{1-0}=-3[/tex]

The slope of line q is -3.

Benji has 48 marbles.1/4 of them are red and the rest are blue.What is the difference in the number of red and blue marbles he has?​

Answers

Answer:

24

Step-by-step explanation:

1/4 * 48 = 12

12 marbles are red.

48 - 12 = 36

36 of the marbles are blue.

Difference = Blue - Red

Difference  = 36 - 12

Difference = 24

what should be added to -7/20 to get -2/5​

Answers

Answer:

-1\20

Step-by-step explanation:

As percentages: ? + -35% = -40%; -5% = ?

As decimals: ? + -0.35 = -0.4; -0.05 = ?

**-⅖ = -8\20 [Least Common Denominator]

what is the order of magnitude for the number of states in the United states

Answers

The order of magnitude is (1)

Step-by-step explanation:

50 = 5.0 x10^1

Final answer:

Order of magnitude provides an estimation of the scale of a value expressed in powers of 10. For the number of states in the United States, the order of magnitude is approximately 10¹.

Explanation:

Order of magnitude refers to the scale of a value expressed in the metric system. Each power of 10 represents a different order of magnitude. For example, 10¹, 10², 10³ are all different orders of magnitude. We can estimate that the number of states in the United States is of the order of magnitude 10¹. This means there are approximately 10 to the power of 1 states in the United States.

What is the intercept of the line given by the equation below?
y=-10x + 14
O A. (14,0)
O B. (-10,0)
C. (0, 14)
D. (0, -10

Answers

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 10x + 14 ← is in slope- intercept form

with y- intercept c = 14 ⇒ (0, 14) → C

Identify the three similar right triangles in the given diagram.
A. ABC, BDA, BCD
B.ABD, ADC, DBC
C. ABD, ACD, DCB
D.ADB, ACD, CDB

Answers

Answer:

B. ΔABD, ΔADC, ΔDBC

Step-by-step explanation

Step -1 In ΔABD and ΔADC (from figure).

∠DAB=∠CAD (common in both triangles) ,

∠DBA=∠CDA =90 degree, and

∠BDA=∠DCA (rest angle of the two triangles).

therefore ΔABD similar to ΔADC (by AAA similarity theorem).

Step -2 In ΔDBC and ΔADC (from figure).

∠DCB=∠ACD (common in both triangles) ,

∠DBC=∠ADC =90 degree, and

∠CDB=∠CAD (rest angle of the two triangles).

therefore ΔDBC similar to ΔADC (by AAA similarity theorem).

Step -3 In ΔABD and ΔDBC (from figure).

∠BDA=∠BCD (because , ∠ACD=ADB from stap-1 and ∠ACD=∠BCD from figure) ,

∠DBA=∠CBD =90 degree, and

∠BAC=∠BDC (rest angle of the two triangles).

therefore ΔABD similar to ΔDBC (by AAA similarity theorem).

In the above step- ΔABD similar to ΔADC, ΔDBC similar to ΔADC and ΔABD similar to ΔDBC.

Hence ΔABD, ΔADC, ΔDBC similar to each other in the given figure.

Based on the diagram shown above, the three similar right triangles are: B. ΔABD, ΔADC, ΔDBC.

The Right Triangles Similarity Theorem states that when the altitude of a  triangle is drawn to the hypotenuse of a right angled triangle, then, the two triangles that are formed would be similar to each other, as well as the original triangle.

Based on triangles ABD and ADC, we can logically deduce the following congruent angles;

m∠DAB ≅ m∠CAD

m∠DBA ≅ m∠CDA = 90°

m∠BDA ≅ m∠DCA

ΔABD ~ ΔADC (AAA similarity theorem).

Based on triangles DBC and ADC, we can logically deduce the following congruent angles;

m∠DCB ≅ m∠ACD

m∠DBC ≅ m∠ADC = 90°

m∠CDB ≅ m∠CAD

ΔDBC ~ ΔADC (AAA similarity theorem).

Based on triangles ABD and ΔDBC, we can logically deduce the following congruent angles;

m∠BDA ≅ m∠BCD

m∠DBA ≅ m∠CBD = 90

m∠BAC ≅ m∠BDC

ΔABD ~ ΔDBC (AAA similarity theorem).

What is the lcm of xy(x+1) and x(x+2)

Answers

[tex]xy(x+1)=x\cdot y\cdot (x+1)\\x(x+2)=x\cdot (x+2)\\\\\text{lcm}(xy(x+1),x(x+2))=x\cdot y \cdot (x+1)\cdot (x+2)=xy(x+1)(x+2)[/tex]

Solve for x: 5 − (x + 5) > −2(x + 4)

Answers

Answer:

x > -8

Step-by-step explanation:

5 - (x+5) > -2(x+4)

5 - x - 5 > -2x -8

- x > -2x -8

-x +2x > -8

x > -8

The answer is X > -8

Here is it graphed:

Including 6% sales tax, an inn charges $135.68 per night. Find the inns nightly cost

Answers

135.68(1+0.06)^1= 144

Answer:

144 dollars

Step-by-step explanation:

What is half of 3.334

Answers

1.667

Basically divide the number by 2




Which group of ordered pairs are on the line given by the equation 5x−2y=65x-2y=6?


Answers

Final answer:

The ordered pairs (294.5, 61), (364, 70), and (605.5, 88.5) are on the line given by the equation 5x - 2y = 6.

Explanation:

The equation given is 5x - 2y = 6. To determine which group of ordered pairs lies on this line, we can substitute the x and y values of each ordered pair into the equation and check if the equation holds true:

For the ordered pair (294.5, 61), substituting x = 294.5 and y = 61 gives: 5(294.5) - 2(61) = 6, which is true.For the ordered pair (364, 70), substituting x = 364 and y = 70 gives: 5(364) - 2(70) = 6, which is true.For the ordered pair (605.5, 88.5), substituting x = 605.5 and y = 88.5 gives: 5(605.5) - 2(88.5) = 6, which is true.

Therefore, all three ordered pairs (294.5, 61), (364, 70), and (605.5, 88.5) lie on the line given by the equation 5x - 2y = 6.

Learn more about Ordered pairs here:

https://brainly.com/question/30805001

#SPJ12

Helppp please!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

$82,250 < x <= $171,550

Step-by-step explanation:

You didn't provide all the possible answers.  In this case we don't need to see all answers to help you... but because you didn't provide all the choices for answer, we can't give the exact answer, only the possible range of values.

The question asks for a possible taxable income for someone filing under the 28% bracket.

If we look at the table, we see the 28% bracket is for income ranging from $82,250 (exclusively) to $171,550 (inclusively)

So, your answer has to be within the range:

$82,250 < x <= $171,550

It cannot be $82,250 but it can be $171,550 and any number in between.

Since you didn't provide all the answer choices, we can't tell you if it's B, C, D, and so on... but we can tell you it's not A.

Lauren has 108 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 9 kids on her block. Write qn equation to show how many pieces of candy each kid will receive.​

Answers

Divide the total pieces by the number of kids:

108 pieces / 9 kids = 12 pieces per kid.

Answer:

x= 108/9

Step-by-step explanation:

a lines in the xy-plane passes through the point (4,1) and has a slope of (-1/4). the point (6,y) also lies on the lines. what is the value of y?

Answers

[tex]\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{y}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{y-1}{6-4}=\stackrel{\textit{slope}}{-\cfrac{1}{4}}\implies \cfrac{y-1}{2}=-\cfrac{1}{4} \\\\\\ 4y-4=-2\implies 4y=2\implies y=\cfrac{2}{4}\implies y=\cfrac{1}{2}[/tex]

The diagram below represents the measurements of Jennie’s yard. The yard’s width is x feet shorter than its length. If the area of the yard is 540 square feet, how many feet shorter than the length is the width?

Answers

Answer: The width is 12 feet shorter than the length.

Step-by-step explanation:

The area of a rectangle can be calculated with this formula:

[tex]A=lw[/tex]

Where "l" is the lenght and "w" is the width of the rectangle.

 We know that lenght of Jennie's yard is 30 feet, the width is [tex](30-x)ft[/tex] and the area is 540 square feet. Then:

[tex]l=30\\w=(30-x)\\A=540[/tex]

Substitute these values into the formula and then solve for "x":

[tex]A=lw\\\\540=30(30-x)\\\\540=900-30x\\\\30x=900-540\\\\x=\frac{360}{30}\\\\x=12[/tex]

Therefore, the width is 12 feet shorter than the length.

Answer:

C

Step-by-step explanation:

got it on edge

Evaluate 4x - 2 when x = 5.​

Answers

4(5) - 2 =


20 - 2 =

18

Your answer is D

Answer: D is correct, 18

Step-by-step explanation:

You plug in 5 for x...

4(5)-2=you answer

20-2=your answer

18= your answer

If you are just building your payment history, how many points from a perfect score will you possibly miss?​

Answers

Final answer:

A new borrower cannot achieve a perfect credit score, but the number of points missed is not specific and varies individually. Fair credit decisions are based on facts, not personal attributes. Late payment fees and interest on carried balances also affect your credit score.

Explanation:

When you are building your payment history, it's essential to understand the impact of your actions on your credit score. A perfect credit score is typically seen as 850. As a new borrower, lacking a lengthy credit history, you may not have a perfect score, but the exact number of points you may miss cannot be precisely determined without considering individual credit activities. However, every lender has different criteria for evaluating credit scores, and it is fair practice that race, gender, religion, and other such attributes are not considered in credit scoring.

If you carry a credit card balance from month to month, you will incur interest charges, which can quickly accumulate and affect your credit utilization ratio, thereby potentially lowering your credit score. Promptly paying off credit card balances and keeping a low utilization rate are key strategies to maintain and improve your credit score.

Remember that late payments can result in additional charges, as in the case where a credit card company charges a $10 late fee and $5 daily until the payment is settled. Such penalties not only burden you financially but can also impact your credit score if late payments are reported to credit bureaus.

Final answer:

When starting to build your payment history, it's not possible to achieve a perfect credit score instantly due to the short credit history length and other factors. Payment history is the most significant component, affecting 35% of the FICO score. Keeping accounts in good standing and credit utilization under 30% are key steps to improving your score.

Explanation:

When you're building your payment history, establishing a perfect score immediately is not typically possible. A perfect FICO score is 850, and payment history is the most influential factor, accounting for 35% of your score. As a new credit user, your credit history length is shorter, which negatively affects your score. Unfortunately, it's not possible to quantify exactly how many points you'll miss from a perfect score as it varies depending on the individual credit report and the scoring model used.

It's important to keep your accounts in good standing to build a strong credit history over time. Also, being mindful of your Amounts Owed, which makes up 30% of the FICO score, can help improve your standing. Striving to utilize no more than 30% of your available credit is recommended. Over time, with good financial habits such as these, your credit score will naturally improve, moving closer to the ideal score of 700 or higher.

Other factors influencing your score include the length of your credit history (15%), new credit, and the mix of credit types you have. It's crucial to avoid opening too many new accounts at once, as this can lower your average account age and result in hard inquiries, both of which can reduce your score somewhat.

Perform the indicated operation. x/2+y/3-z/4

Answers

[tex]\bf \cfrac{x}{2}+\cfrac{y}{3}-\cfrac{z}{4}\implies \stackrel{\textit{using the LCD of 12}}{\cfrac{(6)x~~+~~(4)y~~-~~(3)z}{12}}\implies \cfrac{6x+4y-3z}{12}[/tex]

Question: Perform the indicated operation. [tex]\frac{x}{2}+\frac{y}{3}-\frac{z}{4} = ?[/tex]

Answer: [tex]\frac{6x+4y-3z}{12}[/tex]

Hope I helped!!! :)

(I had this same question)

If f(x) = 1/2x-14,then f^-1(x)=

Answers

Answer:

f ^-1 (x) = 2x+28

Step-by-step explanation:

f(x) = 1/2x-14

Replace f(x) with y

y = 1/2 x -14

Exchange x and y

x = 1/2 y -14

Solve for y

Add 14 to each side

x+14 = 1/2 y -14+14

x+14 = 1/2 y

Multiply each side by 2

2(x+14)= 1/2 y*2

2x+28 = y

The inverse function is

f ^-1 (x) = 2x+28

The answer to your problem would be F ^-1 (x) = 2x + 28

Define the following terms. a. Multiplicand b. Multiplier c. Product

Answers

Answer:

 Multiplicand ;quantity that is to be multiplied by another (the multiplier).

Multiplier ;person or thing that multiplies.a quantity by which a given number (the multiplicand) is to be multiplied.ECONOMICSthe factor by which the return deriving from an expenditure exceeds the expenditure itself.

Product;an article or substance that is manufactured or refined for sale."marketing products and services"2.MATHEMATICSa quantity obtained by multiplying quantities together, or from an analogous algebraic operation.

Step-by-step explanation:

Please mark brainliest!

Which statement correctly describes the inverse of the following function?

Answers

Answer:

D. It is a function

Step-by-step explanation:

When you flip the points of the function, you have:

(2,1) (4,3) (6,5) (8,7)

Each x value has its own y value, so it is a function

Option D is correct. The inverse of the given function is a function since all the element in its co-domain has a unique element in the domain.

For a mapping to be called a function, it must have but the input values called the domain and the output values known as the co-domain.

All the domains must also have a corresponding co-domain, else it is not a function.

From the given mapping, we can see that all the values in the domain have corresponding values in the co-domain and vice versa(in the case of its inverse).

Hence we can conclude that the inverse of the given function is a function making other options incorrect.

Learn more here: https://brainly.com/question/13395036

What is the range of f(x) = 3^x+ 9?
{yly<9}
{yly>9)
{yly> 3}
{yly< 3}

Answers

Answer:

ALL REAL NUMBERS actually

Step-by-step explanation:

Any exponential function like this, is ALWAYS R.

what is the value of the expression 3/8 divided by 1 and 1/2

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8} \div\frac{3}{2}[/tex]

[tex]\frac{3}{8}\times\frac{2}{3}[/tex]

[tex]\textrm{Multiply the numerator and the denominator.}[/tex]

[tex]3 *2 = 6\\ 3*8=24[/tex]

[tex]\frac{6}{24} =\frac{1}{4}[/tex]

Final answer:

The value of the expression 3/8 divided by 1 and 1/2 is calculated by converting the mixed number into an improper fraction, changing the division to multiplication by using the reciprocal, and simplifying the multiplication to get the final answer, which is 1/4.

Explanation:

The question is asking for the value of the mathematical expression 3/8 divided by 1 and 1/2. To solve this problem, first, we need to convert 1 and 1/2 into an improper fraction.  The result is 3/2. Next, we should remember that division by a number is the same as multiplication by its reciprocal. Therefore, we turn the equation into a multiplication problem by multiplying 3/8 by the reciprocal of 3/2, which is 2/3.

Solving this gives us the answer: (3/8) * (2/3) = 1/4. So, the value of the expression 3/8 divided by 1 and 1/2 is 1/4.

Learn more about Fraction Division

https://brainly.com/question/1622425

#SPJ11

The length of the major axis of the ellipse below is 10. What is the sum of the
lengths of the red and blue line segments?
Focus
Focus
O A. 10
0
0
0
0
SUBMIT

Answers

Answer:

10

Step-by-step explanation:

Answer: the answer is 10

Step-by-step explanation:  i took the test and got it right

solve the system...................​

Answers

Answer:

first option

(8, -1)

Step-by-step explanation:

We have the following system of linear equations

[tex]\left \{{{x+6y=2} \atop {5x+4y=36}} \right.[/tex]

To solve the system multiply the first equation by -5 and then add it to the second equation.

[tex]-5*(x+6y)=2*(-5)[/tex]

[tex]-5x -30y=-10\\5x+4y=36[/tex]

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

[tex]-26y = 26[/tex]

[tex]y = -1[/tex]

substitute [tex]y = -1[/tex] in any of the two equations and then solve for x

[tex]5x+4(-1)=36\\5x-4=36\\5x = 36+4\\5x = 40\\[/tex]

[tex]x =8[/tex]

The answer is the first option

(8, -1)

Point x,y reflected across the y axis is what?

Answers

Answer:

opposite

Step-by-step explanation:

Answer:

(- x, y)

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Guy decides to get in shape by running. The first day, he runs 1 mile in 12 minutes. Two months later he has decreased his mile time by 25%. What is his mile time now? 6 minutes 7.5 minutes 8 minutes 9 minutes

Answers

Answer:

[tex]25 \div 100 \times 12 = 3[/tex]

[tex]12 - 3 = 9[/tex]

[tex] = 9minutes[/tex]

Answer:

9 minutes

Step-by-step explanation:

Classify the following triangle. Check all that apply.

Answers

Answer:

Scalene and Acute

Step-by-step explanation:

Since all of the leg measures of the triangle are not equal to each other, this triangle would be scalene.

In addition, all of the angle measures of the triangle is less than 90 making it an acute triangle.

Answer:

Scalene and Acute

Step-by-step explanation:

Since none of the sides have the same length: scalene

Isosceles ( 2 sides same length)  False

Equilateral( 3 sides same length) False

Acute: all angles less than 90 degrees:  True

Right:  one angle equal to 90 degree:  False

Obtuse:  One angle greater than 90 degrees:  False

Is x<2 an open circle

Answers

interval notation wise, yes, because x < 2 means, x less than 2, not equals to 2, but less, so "x" is anything that is less than 2, not 2 itself, but anything less.

[tex]\bf \stackrel{~\hfill \rule[2pt]{8em}{0.25pt}\circ}{\rule[0.35em]{10em}{0.25pt}}2\rule[0.35em]{10em}{0.25pt}[/tex]

Other Questions
Which answer shares a word part with the following word?Word parts:prefix, suffix, rootIncredulous (unbelieving)A.renewableB.credibleC.creative 14. Remove the parentheses from the following expression: (2y + x) z. A. Z/2y + x B. 2y/z + x/z C. 2y + x + z D. 2yz + xz 5. To check for consciousness:A) Lift an eyelid to see if their pupils are dilated B) Tap the person and ask if they are okay C) Listen for a heartbeat D) Check their pulse a forest fire burns down most of the trees in a large forest l. the animals that live in the trees are forced to move to other areas. what kind of disturbance is this?A. cyclicalB. smallC. primaryD. secondary (Help plz)Select a theme from Julius Caesar,select a theme and explain how it is developed throughout the play. Use evidence from the play itself. Please in 2-3 paragraphs. Strongly support claims, this is worth most of my grade. (From the Julius Caesar play written by Shakespeare ( 611 )+m= 92 An invasion by thein the thirteenth century marked the downfall of the Seljuk dynasty.BantuBerber MuslimsMongolsAbbasids You have been tasked with sorting the rock samples shown into three categories, with two rocks in each category. What attribute would you use to sort these rocks? Which rocks would be in each category? Rocks: obsidian, coquina limestone, granite, soapstone,pumice, and gneiss. Solve the equation:9 - 7 29Select one:oz = 36o -4 - - 42 Describe the difficulties Americans faced in the European theater in terms of: delivering weapons, food and medical supplies to troops. How many variable terms are in the expression3x3y+5x2+y+9 This is a type of government in which a group of individual states are united under astrong, central government. A KCl solution is prepared by dissolving 40.0 g KCl in 250.0 g of water at 25C. What is the vapor pressure of the solution if the vapor pressure of water at 25C is 23.76 mm Hg? Which of the following statements is true in all cases? A. Chemical bonds are broken in an exothermic reaction. B. Chemical bonds are formed in an endothermic reactionC. Energy is released in an endothermic reaction. D. Energy is absorbed in an endothermic reaction. Which state has the largest population of the United States? A right cylinder has a diameter of 8 M and a height of 6M. What is the volume of the cylinder What was drilled into the concrete Sun Tunnels created by artist Nancy Holt? Choose the clause that would be used to decide each case1. A religious school wants to receive government funding.2. A worker who refuses to work on her religion's holy day is fired by her employer.3. A religious organization does not pay tax on religious items!4. The coach of a public school's sports team has players say a prayer before they take the field. Calculate the magnitude of the linear momentum for the following cases. (a) a proton with mass 1.67 10-27 kg, moving with a speed of 5.10 106 m/s kg m/s (b) a 15.0-g bullet moving with a speed of 480 m/s kg m/s (c) a 72.5-kg sprinter running with a speed of 10.5 m/s kg m/s (d) the Earth (mass = 5.98 1024 kg) moving with an orbital speed equal to 2.98 104 m/s. kg m/s Which action demonstrates effective communication?1communicating primarily in written formats2hiding private thoughts and feelings3considering what the other person is trying to say4avoiding discussing or displaying negative emotions