Find the equation of the line with slope 4 which goes through the point (8,5).
Give your answer in slope-intercept form y=mx+b.

Answers

Answer 1

Answer:

y = 4x - 27

Step-by-step explanation:

The point (8,5) contains and x and y on the line.  The x is 8 and the y is 5.  Using this and the slope given we can write the equation.  We need to solve for b.

y = mx + b

5 = 4(8) + b

5 = 32 + b  Subtract 32 from both sides of the equation

-27 = b

y = mx + b

y = 4x - 27

Answer 2

Answer:

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Step-by-step explanation:

y-y1=m(x-x1)

where y1=5,x1=8 and m=4

y-5=4(x-8)

y-5=4x-16

y=4x-16+5

y=4x-11


Related Questions

One way to simplify an expression containing trigonometric functions is to first write the expression in terms of
---Select---
and
---Select---
only.

Answers

One way to simplify an expression containing trigonometric functions is to first write the expression in terms of sines and cosines only.

What is an expression?

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

The law of cosine.

In order to determine the missing side length of a geometric figure with the adjacent and hypotenuse side lengths given, you should apply the law of cosine:

C² = A² + B² - 2(A)(B)cosθ

Similarly, the law of sine can be used to determine the missing side length of a geometric figure with the opposite and hypotenuse side lengths are given:

[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

In this context, we can reasonably infer and logically deduce that an expression containing trigonometric functions can be simplified by first writing the expression in terms of sines and cosines only.

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Answer this question please

Answers

The solution to the inequality is w ≥ 470 or w ≤ 530

How to determine the solution to the inequality?

The given parameters are:

Number of words = 500

Absolute deviation = 30

Acceptable number of words = w

The absolute value inequality is represented as

|w - Number of words| ≥ Absolute deviation

So, we have

|w - 500| ≥ 30

Remove the absolute bracket

So, we have

w - 500 ≥ -30 or w - 500 ≤ 30

Add 500 to both sides of the inequality

So, we have

w ≥ 470 or w ≤ 530

Hence, the solution to the inequality is w ≥ 470 or w ≤ 530

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Which number sentence is not true?
A) -4.51 4.5
B) |0| < |-45|
C) |45|> 0
D) 14.5| |-45|

Answers

The answer is c or d

In the given figure AB = AC, BAD = 50 and AD = AE. find the value of x

Answers

Answer:

[tex]x=25^o[/tex]

Step-by-step explanation:

Angle sum of a triangle: [tex]< A + < B+ < C=180^o\\[/tex]

Types of Triangles: Isosceles, Equilateral, Scalene

Given AB = AC are two sides of the big triangle, then ΔABC is Isosceles.

Isosceles triangles are defined to have two equal sides and two equal angles (opposite the congruent(equal) sides).

Also, since ABC is defined as a triangle, BC is a straight line, a.k.a., it is a [tex]180^o[/tex] angle. As the image shows, the line, AD creates a right angle on one side, therefore it creates a right angle([tex]90^o[/tex]) on the other side.

Back to Isosceles Triangles, AD = AE means ΔADE is isosceles and <ADE = <AED

Using the Angle sum formula of a triangle, you can fill in <A, <B, and <C with the following:

<A=[tex]50^o[/tex]

<B=<C=y [This is because <ADE = <AED]

[tex]50^o+2y=180^o\\2y=130^o\\y=65^o[/tex]

Now, this means that <ADE=[tex]65^o[/tex] and <ADC =[tex]90^o[/tex]

<x is better seen as <EDC

<EDC+<ADE=<ADC

Since we know <ADE is 65 and <ADC is 90, we can plug in these to the formula above.

[tex]x+65^o=90^o\\x=25^o[/tex]

What are the scale factors

Answers

Answer:

10 if going from the smallest to the largest or 1/10 if going from the smallest to the largest.

Step-by-step explanation:

Let s = scale factor

10s = 100  Divide both sides by 10

s = 10

1.Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.

Answers

Answer:

x=8

Step-by-step explanation:

So 6^2+x^2=10^2

36+x^2=100

x^2=64

x=8

Answer:

first put name of triangle abc than

angle _abc =180degree

10+6+c=180

16+c=180

180÷16=c

c=11.25

the value of x is 11.25 ans

Can someone help me pls

Answers

Answer:

See below

Step-by-step explanation:

Can someone please help me does anyone know the rest of the problem I can’t sloved please help

Answers

The equation of the given function will be h=-0.096x+30.6. The mass will be 63.5 grams.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is y-intercept.

1.) The slope of the given function will be,

Slope = (25.8 - 30.6) / (50 - 0) = -4.8/50 = -0.096

Now, substitute the values in the general linear equation,

h = -0.096x + c

30.6 = -0.096(0) + c

c = 30.6

Therefore, the equation of the given function will be h=-0.096x+30.6.

2.) Mass when the height is given as 24.5 cm, will be,

h = -0.096x + 30.6

24.5 = -0.096x + 30.6

24.5 - 30.6 = -0.096x

-6.1 = -0.096x

x = -6.1/-0.096

x = 63.5

Hence, the mass will be 63.5 grams.

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help me please I need a good grade

Answers

Answer: x=32

Step-by-step explanation:

x-7+2x+1=90

x+2x-7+1=90

3x-6=90

3x=96

x=32

X-7+2x+1=90
x+2x-7+1=90
3x-5=90
3x=96
x=32

Choose the estimate closest to the length of a pen​: 30​cm, 160​mm, or 16mm.

Answers

The estimate closest to the length of a pen​ is 160​mm

How to estimate the closest length of a pen?

Estimation is when we use approximate values in a calculation to give an approximate, predicted answer rather than an exact answer.

We can estimate some lengths and distances using approximate values for measurements.

For example, 16 cm is approximately the length of a pen.

Therefore, the estimate of a pen is 16 cm.

Since the length in cm is not in the option, we have to convert.

Hence,

1 centimetres = 10 millimetres

16 centimetres = ?

cross multiply

estimated length of a pen = 160 millimetres.

Therefore, the estimate closest to the length of a pen​ is 160​mm

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1) determine the result when 2x^2+4x+2 is subtracted from 4x^2-8x+3

Answers

Answer:

[tex]2x^2 - 12x + 1[/tex]

Step-by-step explanation:

Hello!

Given the expression: [tex]4x^2 - 8x + 3 - (2x^2 + 4x + 2)[/tex]

Simplify by combining like terms.

Like terms are terms with the same variable and raised to the same power.

Simplify[tex]4x^2 - 8x + 3 - (2x^2 + 4x + 2)[/tex][tex]4x^2 - 8x + 3 - 2x^2 - 4x - 2[/tex][tex]4x^2 - 2x^2 - 8x - 4x +3 - 2[/tex][tex]2x^2 - 12x + 1[/tex]

The simplified form is [tex]2x^2 - 12x + 1[/tex].

Question
If the point (1, 4) is on the graph of an equation, which statement must be
true?
о A. The values x= 1 and y = 4 are the only values that make the
equation true.
O B. The values x = 1 and y = 4 make the equation true.
C. There are solutions to the equation for the values x= 1 and x = 4.
OD. The values x = 4 and y = 1 make the equation true.
SUBMIT

Answers

Either A or B is right they sound like the same answer though

To convert kilograms to pounds, Abby halves the number of kilograms, n, then subtracts 10% from the result of that calculation, whereas Renato subtracts 10% first and then halves the

result. (a) Write an algebraic expression for each method.

Abby's expression:

Renato's expression:

(b) Do the methods give the same answer?

Answers

Abby's method and Renato's method of converting kilograms to pounds gives the same answer.

Algebraic expression

Number of kilograms = n

Abby:

1/2n - 10%

= 1/2n - 0.1

Renato:

-10% + 1/2n

= -0.1 + 1/2n

Therefore, Abby's method and Renato's method of converting kilograms to pounds gives the same answer.

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The function f is given in three equivalent forms.
Which form most quickly reveals the y-intercept?
Choose 1 answer:

Answers

Answer:

c

Step-by-step explanation:

C is straight forward that the value of the y intercept is 8, unlike the A and B where you must first simply by removing the brackets

convert the radio to a percent

Answers

Answer:

62.5%

Step-by-step explanation:

We only have the measurement of 2 corresponding sides AE and A'E'.  We are going from the large to the small.

Let x = the scale factor

4x = 2.5  Divide both sides by 4

x = .625   to change that to a decimal multiply by 100

.625 x 100 = 62.5%

how to write 673465 in standerd form

Answers

6 hundred and 73 thousand and 65..

The price of 3 citrons and 4 fragrant wood apples is 51 units. The price of 4 citrons and 3 fragrant wood apples is 54 units. Find the price of a citron and the price of a wood apple.

Answers

Answer:9 citronella and 6 fragrant wood apples

Step-by-step explanation:

Translate the point (5, -3) 3 units left and 1 unit up.

The image point is located at ____.

Answers

Answer:

(2,-2)

Step-by-step explanation:

aaron, brandon, and clara sit in class so that they are at the vertices of a triangle. it is 15 feet from aaron to brandon, and it is 8 feet from brandon to clara. give the range of possible distance from aaron to clara

Answers

The range of distance between Aaron and Clara is 7<d<23.

What is the triangle?Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The sum of the triangle's three angles equals 180 degrees. Every triangle has three sides and three angles, which may or may not be the same. In the case of a right triangle, the sides are given special names, with the side opposite the right angle being known as the hypotenuse and the other two sides being known as the legs.

The range of possible distance from Aaron to Clara:

15+d > 8 ⇒ d > -78+d > 15 ⇒ d>715+8 > d ⇒ d < 23

So, the range is: 7<d<23

Therefore, the range of possible distance from Aaron to Clara is 7<d<23.

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2) a number v divided by 12

Answers

This can be expressed as,
V/12

14. A certain real estate agent uses what he calls a step- strategy to sell houses. He puts a house on the market at a higher-than - expected selling price and if it hasn't sold in two weeks, he drops the price by 5%. If it still hasn't sold in another 2 weeks , he drops the price by another 5 %. After that , he continues to drop the price by 3% every two weeks until it reach es a cut -off amount assigned by the home owner , or the house sells , whichever comes first . If a house is originally listed at $200,000 and the homeowner sets a cut -off amount of $166,000 , what is the final selling price given that the house sells after being on the market for 9 weeks ? A ) $162,901.25 B) $164,737.48 $166,000.00 D ) $169,832.45

Answers

Answer:

vvvyaz

Step-by-step explanation:

szahvzlvzlz

how many real solutions does 3x² +24x = -48 have

Answers

Answer:

1

Step-by-step explanation:

3x² +24x = -48

3x² +24x + 48 = 0

x² +8x + 16 = 0

By using cross multiplication,

(x-4)² = 0

Therefore,

x-4 = 0

x = 4 (repeated)

Answer:

Only one real solution

Step-by-step explanation:

[tex]{ \tt{ {3x}^{2} + 24x = - 48}} \\ { \tt{ {3x}^{2} + 24x + 48 = 0 }} \\ { \tt{ {x}^{2} + 8x + 16 = 0}} \\ { \tt{(x + 4) = 0}}

Kim drew a map of Mississippi Rive. The scale was 5 centimeters represents 120 mikes. Th as tusk length is 2320 miles. What is actual length in centimeters of the Mississippi River?

Answers

The actual length of the river on centimetres is 97 centimetres

How to find the length of the Mississippi River using the scale?

The scale was 5 centimetres represents 120 miles.

Therefore, on the scale

5 centimetres = 120 miles

Now, let's find the length in centimetres if the river is measured as 2320 miles.

120 miles  = 5 centimetres

2320 miles = ?

cross multiply

actual length of the river in centimetres = 2320 × 5 / 120

actual length of the river in centimetres = 11600 / 120

actual length of the river in centimetres = 96.6666666667

actual length of the river in centimetres = 97 centimetres.

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Test coming up need your help.

Answers

The linear equation that represents the number of pages that Lourdes still need to read will be y =  y = 30x + 3/5y.

How to illustrate the information?

It should be noted that an equation is used to show the relationship between the variables. It should be noted that the person is reading a biography.

It should be noted she reads 30 pages each day and after 9 days, he has read 3/5 of the pages.

Therefore, the linear equation that represents the number of pages that Lourdes still need to read will be:

y = (30 × x) + (3/5 × y

y = 30x + 3/5y.

Finally, this is the linear equation representing the pages that Lourdes read.

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(23)n=(1111)2 what is the value of n

Answers

Answer:

Hello,

n=6

Step-by-step explanation:

1111 in binary is 15 in décimal

(23) base n=15 ==>

2*n+3=15

2n=12

n=6

Two positive integers that differ by 9 are in the ratio of 8 to 11. What is the value of the smaller of the two numbers?​

Answers

The numbers are 24 and 33 so the smaller one is 24

Answer:

24 and 33 are the numbers among which 24 is the smallest.

Step-by-step explanation:

Let one positive integer be x, then another will be x - 9

Solve:

[tex]\sf \dfrac{x-9 }{x} = \dfrac{8}{11}[/tex]

cross multiply

[tex]\sf 11x-99= 8x[/tex]

collect like terms

[tex]\sf 11x-8x = 99[/tex]

simplify

[tex]\sf 3x = 99[/tex]

divide both sides by 3

[tex]\sf x = 33[/tex]

As the integer is positive, x = 33, then another will be 33 - 9 = 24.

please help!!!!!!!!!!

Answers

Line 3
Because it’s dividing by the variable “x” not so much the number (2)

one seventh times the absolute value of the quantity x minus 3 end quantity minus 2 equals 9

Answers

The solutions of  "one seventh times the absolute values of the quantity x minus 3 minus 2 equals 9" is 80 and -74

The absolute value of the quantity x minus 3 = |x-3|

The one seventh time the absolute value of the quantity x minus 3 minus 2 equal to 9

Then the equation will become

(1/7)×|x-3|-2=9

Solve the equation

(1/7)×|x-3|-2= 9

(1/7)×|x-3|= 11

|x-3| = 11×7

|x-3|= 77

The absolute value equation will become

x-3= 77

x-3 = -77

Solve both equation

x-3=77

x= 80

x-3 = -77

x= -74

Hence, the solutions of  "one seventh times the absolute values of the quantity x minus 3 minus 2 equals 9" is 80 and -74

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HURRY IM TIMED Explain how to find the estimated sum of 5/8+2/9​

Answers

Answer:

61/72

Step-by-step explanation:

first find the lowest common denominator - basically in this case the lowest number that goes into 8 and 9 - 8 x 9 which is 72, then

8 goes into 72 9 times so do 9 x the numerator (5)

9 x 5 = 45

Do the same for the second fraction, 9 goes into 72 8 times so do 8 x numerator (2)

8 x 2 = 16

Now add 45+ 16 = 61 ( this is your numerator)

and you keep the denominator (72) the same, so the answer is 61/72

Please help me
Find the slope of the line on the graph

Answers

The slope is 3/2 becuase is the rise/run

Answer:

slope = 6/10

Step-by-step explanation:

Point 1: (0,2)

Point 2: (10,8)

m= Slope= Rise/run = (y2-y1)/(x2-x1) = (8-2)/(10-0) = 6/10

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Which of the following is said to lead to an increase in the rate of crime?a. substance useOb. state of the economy and povertyOc. individual decision-makingOd. issues relating to mental health Kim drew a map of Mississippi Rive. The scale was 5 centimeters represents 120 mikes. Th as tusk length is 2320 miles. What is actual length in centimeters of the Mississippi River? how many real solutions does 3x +24x = -48 have in the commerce compromise, how did congress ease the concerns of an agricultural south and an industrial north? After ricks are changed by the processes of weathering and erosion they become? How does Lin-Manuel Miranda tell Hamiltons story? Escoge la mejor respuesta.Si ests al aire libre en el parque Los Glaciares, probablemente tienes _____.calorfroraznsueo examples of evidence in a case that would provide some proof of the following elements of the crime of murder: killing of a person, intentional killing, and premeditated killing. True or False: Enzymes can be used over and over in a reaction. They are not used up. Suppose A is (-2,4) and M is (3,1) and M is the Midpoint of AB, find the coordinates of AB Read the following excerpt from Mary Shelley's Frankenstein. Then, answer the question that follows.No human being could have passed a happier childhood than myself. My parents were possessed by the very spirit of kindness and indulgence. We felt that they were not the tyrants to rule our lot according to their caprice, but the agents and creators of all the many delights which we enjoyed. When I mingled with other families I distinctly discerned how peculiarly fortunate my lot was, and gratitude assisted the development of filial love.Which word from the passage contains a negative connotation? Delights Fortunate Gratitude Tyrants convert the radio to a percent Whatis the slope of the line that passes through the points (-4, 6) and (-4, 18)?Write your answer in simplest form. Which number sentence is not true? A) -4.51 4.5 B) |0| < |-45| C) |45|> 0 D) 14.5| |-45| Solve for a. ab + c = d Evaluate the expression for c =10.2c - 11 = None but the honest _ respect. ( deserved / deserves / is being deserved) comprehensive income includes all of the following except group of answer choices interest earned on investments translation adjustments on foreign currency restructuring charges investments by owners. a researcher writing about the effects of military spending on public support for incumbent politicians writes, "since it is obvious that military spending hurts the economy and we have evidence that poor economic performance leads to lower incumbent support among voters, i conclude that military spending must hurt incumbent support." according to kellstedt which step in the decision-making process would help you in deciding how much money you want to make at work?