which is the equation of the line that has a slope of 4 and passes through point (1,6)?

Answers

Answer 1

If I'm correct, it should be y = 4x + 2.

Answer 2

From the question, we get these informations.
m = 4
(x₁,y₁) = (1,6)

To determine the equation, use this following formula
y - y₁ = m(x - x₁)

Input the numbers
y - y₁ = m(x - x₁)
y - 6 = 4(x - 1)
y - 6 = 4x - 4
y = 4x - 4 + 6
y = 4x + 2
This is the line equation

Related Questions

paleontologists have put together bones to make a t-rex skull that has a mass of 600 pounds.They just found a new tooth fossil to add to the skull that has a mass of 40 ounces.how many pounds in the t-rex skull with the new tooth

Answers

To find the total mass you must first convert 40 oz into lbs. There is 16oz per pound. so 40/16 = 2.5 . 600 lbs +2.5 lbs = 602.5 lbs skull

Answer:

40/16 = 2.5 . 600 lbs +2.5 lbs = 602.5 lbs skull

Step-by-step explanation:

convert 40 oz lbs and then make it 40/16

From a sample with nequals=1616, the mean number of televisions per household is 22 with a standard deviation of 11 television. using chebychev's theorem, determine at least how many of the households have between 00 and 44 televisions.

Answers

Chebyshev's inequality:
For a wide class of distributions, no more than [tex]\frac{1}{k^2}[/tex] of the values can be outside of k standard deviations of the mean.

Here,
n = 16
μ = 2
σ = 1
range iin question = 0 to 4 [tex]=2\pm2=\mu\pm\sigma[/tex]
=> k=2
[tex]\frac{1}{k^2}=\frac{1}{4}[/tex]
meaning that at most 1/4 of the sample is outside the given range, or 3/4 of the sample= (3/4)*16 =12 is within the given range of 0 to 4 televisions.

Answer: at least 12 out of 16 households have between 0 to 4 televisions, according to the Chebyshev's inequality.

Which statements are true regarding quadrilateral ABCD? Check all that apply.
ABCD has congruent diagonals.
ABCD is a rhombus.
ABCD is not a rectangle.
ABCD is not a parallelogram.
ABCD has four congruent angles.

Answers

The statements that are true regarding quadrilateral ABCD include:

ABCD has congruent diagonals.ABCD is a rhombus.ABCD has four congruent angles

Based on the information given, ABCD has congruent diagonals and can be treated as a rhombus. This is because it's a regular quadrilateral.

It should be noted that ABCD can be treated as a rectangle and a parallelogram as well.

In conclusion, the correct options are 1, 2, and 5.

Read related link on:

https://brainly.com/question/8807196

If a translation maps point (3, 2) to (4, 5); or T: (3, 2) (4, 5), then what is the image of the point (0, 0)?

Answers

Translation is a rigid transformation that moves every point on a figure by the same distance in a given direction.

On this problem is given that the point T was translate from the coordinate (3,2) to the coordinate (4,5). Meaning that the image is a translation of one unit to the right and three units up with relation to the preimage.

Point (0,0) would be translated one unit to the right and three units up.
Giving the new point or preimage, the coordinates of (1,3)

Answer:

(1,3)

Step-by-step explanation:

In a quadrilateral, consecutive angles and opposite angles are congruent. What is the most specific name of the figure?

trapezoid
parallelogram
rectangle
rhombus

Answers

B is the answer to this question...

Answer:

Rectangle

Step-by-step explanation:

I got it wrong so i know this is the correct one

y varies directly as x. If y = -2 when x = 4, find x when y = 5.

Answers

x = -10 if im correct

[tex]\bf \qquad \qquad \textit{direct proportional variation}\\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{we also know that } \begin{cases} y=-2\\ x=4 \end{cases}\implies -2=k4\implies \cfrac{-2}{4}=k \\\\\\ -\cfrac{1}{2}=k\qquad therefore\qquad \boxed{y=-\cfrac{1}{2}x} \\\\\\ \textit{now, if y = 5, what is \underline{x}?}\qquad 5=-\cfrac{1}{2}x[/tex]

Mr. Fry is building a fence around his pool. •Length of the fence is 60 feet. •Width of the fence is 30 feet. How many yards of fence will Mr. Fry build? A) 30 yards B) 60 yards C) 90 yards D) 540 yards i need help!!!!!!!!!

Answers

Mr. Fry will need 60 yards of fencing to encircle his pool, as the perimeter of the rectangular pool area is 180 feet and there are 3 feet in a yard.

To determine the total amount of fencing Mr. Fry will need, we calculate the perimeter of the rectangular area around the pool. The perimeter can be found by doubling the length then adding this to double the width. Therefore:

Perimeter = 2× Length + 2× Wid
= 2 × 60 feet + 2 × 30 feet
= 120 feet + 60 feet
= 180 feet

Now, knowing that 1 yard equals 3 feet, we can convert feet into yards:

Yards = Feet ÷ 3
= 180 feet ÷ 3
= 60 yards

Hence, Mr. Fry will need 60 yards of fence for his pool.

To determine the number of yards of fence Mr. Fry will build, we calculate the perimeter of the rectangular area (2 x (60 + 30) feet = 180 feet) and then convert it to yards (180 feet / 3 = 60 yards).

Mr. Fry is building a fence around his pool and wants to know how many yards of fence he will need. The fence has a length of 60 feet and a width of 30 feet. To find the total length of the fence in yards, we first calculate the perimeter of the rectangular fence which is 2 x (length + width). So, the perimeter in feet is 2 x (60 + 30) = 180 feet. Since 1 yard is equal to 3 feet, we divide the total number of feet by 3 to get the measurement in yards: 180 feet / 3 = 60 yards. Therefore, Mr. Fry will build 60 yards of fence.

7 4/5 no nearest whole number

Answers

7.8 is the decimal version. Rounded to the nearest whole number, the answer would be 8.

7 4/5 to the nearest whole number is 8. You get this because you look at the fraction and see if it is half-way or above half-way to 8 than round it to 8, but if it's below half-way than round it down to 7.

Your answer is: 8

Have an amazing day mate!

The area of a trapezoid is 20 square units. The sum of the base lengths is 10 units. What is the height of the trapezoid

Answers

Area of trapezoid = 1/2 (sum of the base lengths) × (height)

1/2 × 10 × height = 20
5 × height = 20
height = 20/5
height = 4 units

A) A pack of 8 batteries cost £3.99 how much dose each battry cost? ( give your answer in penny ?) ________________________________B) A pack of 6 batteries of the same type costs 2.79. By calculating the price of the battery determine if this is a better value. You must show your working out?

Answers

£3.99 divided by 8 is £0.49875
Which, changed into pence and rounded up, is 50p.

£2.79 divided by 6 is £0.465
Which, changed into pence and rounded up is 47p.

50p is bigger than 47p

50 subtract 47 is 3p

The second one has the better value for money as it costs 3p less per battery.

(A) cost of each battery is [tex]49 \;\rm{penny}\\[/tex].

(B) cost of each battery is [tex]\£\;0.465[/tex].

Given: Cost of a pack of [tex]8[/tex] batteries is [tex]\£\; 3.99[/tex].

According to question,

(A) Cost of each battery can be calculated as [tex]\£\;\frac{3.99}{8}=\£\;0.49875[/tex].

As we know that,

[tex]\£\;1=100 \;\rm{penny}\\\£\;0.49=49 \;\rm{penny}\\[/tex]

(B) costs of a pack of [tex]6[/tex] batteries is [tex]\£\; 2.79[/tex].

Cost of each battery can be calculated as [tex]\£\;\frac{2.79}{6}=\£\;0.465[/tex].

Therefore, (A) cost of each battery is [tex]49 \;\rm{penny}\\[/tex].

(B) cost of each battery is [tex]\£\;0.465[/tex].

Learn more about cost of an item here:

https://brainly.com/question/19515972

A 9-pound bag of lollipops costs $12.04. What is the unit price, rounded to the nearest cent?

Answers

1.34 dollars per pound t t t t t t t t t t t t t

I think it's $1.34 per lolipop

PLEASE HELP!!! LAST QUESTION
Which of the following is the equation of a line that passes through the points (2,5) and (4,3)

A. y= -2x+5

B. y= 2x+5

C. y= -x+7

D. y= x+7

Answers

the answer is c, or y= -x+7

The answer is C. y= -x+7
To get this answer, I just substituted the x values of the given coordinates in each of the equations to see which one would produce the given y values. y= -x+7 works because:
5= (-2)+7
3= (-4)+7

Your promotional budget for this year is $200 for personal selling, $400 for sales promotion, $1000 for advertising, and $700 for image promotion. What is your total promotion budget for this year?

Answers

[tex]1000 + 700 + 400 + 200 = 2300[/tex]

Budget for personal selling =$200

Budget for sales promotion = $400

Budget for advertising =$1000

Budget for image promotion =$700

Total Budget =Adding all the values = 200 +400+1000 +700 = 2300

So total promotion budget for this year is $2300

someone please show me to how to find x, thank you.

Answers

The sum of adjacent angles is 180°.

(3y -20) +(2y +15) = 180
5y -5 = 180
y -1 = 36
y = 37

Opposite angles are equal.

5x -14 = 2y +15
5x = 2y +29
x = 0.4 y +5.8
x = 0.4*37 +5.8 = 20.6 . . . . . . . selection A is appropriate

Find the supplement of an angle of 126 degrees

Answers

to find the supplement angle take 180 and subtract the 126 and that gives you 54 degrees which will be the supplement angle

o find the supplement angle take 180 and subtract the 126 and that gives you 54 degrees which will be the supplement angle

Jeanne thinks that x+x is the same as x•x. Is this true? Why? Why not?

Answers

generally, x • x is accepted to mean "x times x" or "x multiplied by x"

and x+x means "x plus x" or "x added to x"

let's try by subsituting numbers for them
if we can find one case where the statement "x+x is the same as x•x" is false, then it is not true

let's try x=4
x+x=x•x
4+4=4•4
8=16
false

so it is not true
(x+x is equal to 2x, so therefor if we were to solve 2x=x•x, we would get that it is only true for x=2 and x=0)

it is not always true

It depends on the number. Generally, it is false, expect in a few certain cases, such as 2 for example, as:

2 + 2 = 4

2 x 2 = 4

however, most other numbers do not work, such as, for example, 5

5 + 5 = 10

5 x 5 = 25

So it really depends on what "x" is.

hope this helps

Sally has a photograph that has an area of 35 square inches. She creates 2 enlargements of the photograph. The enlargements have areas of 140 square inches and 560 square inches. In each photograph, the length is 1 2/5 times the width. Select which of thr following could be th dimensions of the original photograph or one of the enlargements. Mark all that apply

5 inches by 7 inches
20 inches by 28 inches
7 inches by 20 inches
21 inches by 15 inches
10 inches by 14 inches

Answers

The area of the photograph is:
A = (w) * (l)
Where,
w: width
l: long
Substituting:
35 = (w) * (1.4w)
35 = 1.4 * w ^ 2
w = root (35 / 1.4)
Dimensions of the original photograph:
w = 5 in
l = 1.4 * (5) = 7 in
Dimensions of extension 1:
k = (140) / (35) = 4
w = 4 * 5 = 20 in
l = 4 * 7 = 28 in
Dimensions of extension 2:
k = (560) / (35) = 16
w = 16 * 5 = 80 in
l = 16 * 7 = 112 in

Answer:
5 inches by 7 inches
20 inches by 28 inches

The potential dimensions that could represent the original photograph and its enlargements, with the length being 1 2/5 times the width, are 5 by 7 inches for the original photograph, and 20 by 28 inches and 10 by 14 inches for the enlargements.

To find the dimensions of Sally's original photograph and the enlargements with the area having the given ratio of length to width as 1 2/5, we need to understand the relationship between the area of two similar objects and their linear dimensions. We are given that the original photograph has an area of 35 square inches, and the enlargements have areas of 140 and 560 square inches. With the length being 1 2/5 times the width in each case, we can work out the possible dimensions for these photographs.

Now, let's consider the list of dimensions provided and determine which ones correspond to an area ratio that matches the original photograph or the enlargements:

5 inches by 7 inches: This has an area of 5 x 7 = 35 square inches, so it could be the original photograph.20 inches by 28 inches: This has an area of 20 x 28 = 560 square inches, which is one of the enlargements.7 inches by 20 inches: The ratio of length to width here is not 1 2/5, so this option is not correct.21 inches by 15 inches: This does not have an area that matches either the original photograph or the enlargements and the ratio of length to width is also not 1 2/5.10 inches by 14 inches: This gives an area of 10 x 14 = 140 square inches, which matches the first enlargement.

Conclusively, only some of the dimensions given match the requirements: 5 inches by 7 inches for the original photograph, 20 inches by 28 inches and 10 inches by 14 inches for the enlargements. They adhere to the concept that the ratio of their areas equals the ratio of the squares of their linear dimensions due to scaling.

PLEASE HELP!! WILL GIVE BRAINLIEST!!

Question 3: The figure below shows a shaded region and a nonshaded region. Angles in the figure that appear to be right angles are right angles

Part A: What is the area, in square feet, of the shaded region?

Part B: What is the area, in square feet, of the nonshaded region?

Answers

Area of part 1:A1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2Area of part 2:A2=length*width=(8+2)*1=10 ft2Area of part 3:A3=length*width=8*2=16 ft2
Total shaded area : A1+A2+A3=41 ft2Total area of the reactangle : A=16*8=128 ft2Total area of the nonshaded region : 128-41=87 ft2

1.) One side of a rectangle is 7 inches and the other side is x inches. What values of x will make the perimeter at most 26 inches?

2.) Use the fact that the sum of the 3 angles in a triangle is 180 degree to answer this question. One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 35 degree more than that of the smallest angle. Find the measure of the each of the angles.
I need the smallest angle, The middle angle and largest angle .

Thank you !

Answers

1. The answer is 6.

a taxi cost $1.65 for the 1st Mile and $0.85 for each additional mile. Which equation could be solved to find the number x of additional miles traveled in the taxi given that the total cost of the trip is $20?

Answers

x = additional mile

0.85x + 1.65 = 20

to solve it:
subtract 1.65 from both sides. afterwards, divide both sides by 0.85 to find x!

solve for x in the equation x^2 + 20x + 100 = 36

Answers

The answers are x=(-4), or x=(-16)

Comment the correct answer.

Answer:

x = -4 or x = -16

Step-by-step explanation:

We have to solve equation x^2 + 20x + 100 = 36 and find the value of x

x² + 20x + 100 = 36

x² + 20x + 100 - 36 = 36 - 36

x² + 20x + 64 = 0

(x + 4 ) ( x + 16 ) = 0

x + 4 = 0 or x + 16 = 0

x = -4 or x = -16

Answer would be x = -4 or x = -16

Which question is statistical?

A.How many of each species of butterflies did you see on your camping trip?

B.How many different species of butterflies are there in the world?

C.How many Monarch butterflies migrated south this year?

D.How many Monarch butterflies live in the state park?

Answers

I thinks its B

p.s. spread le cheese ⌂

Answer:

Step-by-step explanation:

Choose the correct simplification of the expression the quantity a to the 4th power over b to the 2nd power all raised to the 3rd power.
a to the 7th power over b to the 5th power
a to the 12th power over b to the 6th power
ab9
a12b6

Answers

Lets get started :)

a to the 4th power = a⁴
over
b to the 2nd power = b²
( [tex] \frac{a^4}{b^2} [/tex] ) raised to 3rd power = ( [tex] \frac{a^4}{b^2} [/tex] )³

The power of power properties apply here
(a) 4 x 3 = 12
(b) 2 x 3 = 6

[tex] \frac{a^1^2}{b^6} [/tex]

Your answer will be the 2nd Option
a to the 12th power over b to the 6th power

Your answer will be the second choice.

Harry says that 1/4+1/8=2/8. jane says 1/4+1/8=3/8.whose answer make sense and whose amswer is nonsense? exolain your resoning. draw a model to help.

Answers

Jane is correct.

Work:

1/4 = 2/8
So 1/8 + 2/8 = 3/8

Henry is incorrect.

A large tank is filled to capacity with 400 gallons of pure water. brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t. a(t) = lb

Answers

Final answer:

The student's question involves setting up and solving a differential equation for the amount of salt in a tank where brine is added and mixed solution is removed at constant rates.

Explanation:

The problem is related to a differential equation modeling the amount of salt in a tank of water where the concentration changes over time. We are given a tank with an initial volume of 400 gallons of pure water. Brine with 3 pounds of salt per gallon is added at a rate of 4 gallons per minute, and the well-mixed solution leaves the tank at the same rate.

To find the number of pounds of salt a(t) in the tank at any time t, we can set up a differential equation based on the rates of salt entering and leaving the tank:

[tex]$\frac{dA}{dt} = rate_{in} - rate_{out}$[/tex]

Where A represents the amount of salt in the tank, $rate_{in}$ is the rate at which salt enters the tank, and $rate_{out}$ is the rate at which salt leaves the tank.

[tex]$rate_{in} = 3 pounds/gallon \times 4 gallons/minute = 12 pounds/minute$[/tex]

[tex]$rate_{out} = \frac{A(t)}{400} \times 4 gallons/minute = \frac{A(t)}{100} pounds/minute$,[/tex] since the concentration of salt leaving is[tex]$\frac{A(t)}{400}$ pounds/gallon.[/tex]

The differential equation becomes:

[tex]$\frac{dA}{dt} = 12 - \frac{A}{100}$[/tex]

This equation can be solved using the separation of variables or an integrating factor method, depending on the student's level of mathematical knowledge.

lola uses 44 beads to make a bracelet and 96 beads to make a necklace.Write an expression to show how to calculate the total number of beads lola used to make 13 bracelets and 8 necklace

Answers

13*44 bracelet 96*8 necklace

How can you tell if a binomial divides evenly into a polynomial?

Answers

Im not super sure how you can tell if a binomial divides evenly into a polynomial, but put that on Google and go to the Quizlet. It always has answers. Good luck!

Answer:

The remainder is 0

Step-by-step explanation:

A number divides evenly with another number if and only if the remainder is 0. This applies to all numbers and equations including binomials and polynomials. Anytime there is a remainder in a division it means that the denominator does not fit evenly anymore into the numerator.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Please help me with question 15 ASAP

Answers

To go from A to A ', we shift 6 units to the right. Put another way, shift every point that makes up figure A and you get to figure A '.

In terms of coordinate geometry, we're adding 6 to each x coordinate. The y coordinate stays the same.

residents of a small city voted on whether to allow a developer to build a shopping center.the number of votes favor of the shopping center was 4,400.the number of votes against the shopping center was 17,600.what percent of the voters were in favor of building the shopping center?

Answers

The percent of votes in favor is equal to the amount of votes in favor divided by the total number of votes.

Thus in this case, our percentage would be 4400/22000=20%.

Find the intersection of the two planes with equations 5(x − 1) + 2y + (z + 1) = 0 and (x − 1) + 7y − (z + 1) = 0. (use the parameter t. enter your answers as a comma-separated list of equations.)

Answers

Given:
P1: 5(x-1)+2y+1(z+1)=0
P2: 1(x-1)+7y-1(z+1)=0
Need the intersection of the planes P1 and P2 (a line)

By inspection of the equations,
normal to P1: N1<5,2,1>
normal to P2: N2<1,7,-1>
Direction vector, V, of the required line is the cross product of P1 & P2:
i j k
5 2 1
1 7 -1
=V<-9, 6, 33>

Since P1 passes through point (1,0,-1), the parametric equation of the required line is <1-9t, 0+6t, -1+33t>

L:

Final answer:

The intersection of two planes can be found by solving the system of equations formed by the equations of the planes. In this case, the intersection is given by the equations x = (4 - 9y) / 6, y = y, and z = -3 - (23y/6), where y can be any real number.

Explanation:

The intersection of two planes can be found by solving the system of equations formed by the equations of the planes.

To find the intersection, we can set the two equations equal to each other and solve for x, y, and z.

Rewrite the equations in standard form: 5x - 5 + 2y + z + 1 = 0 and x - 1 + 7y - z - 1 = 0Add the equations together: 6x + 9y = 4Solve for x in terms of y: x = (4 - 9y) / 6Substitute the value of x into one of the original equations to solve for z: 5((4 - 9y) / 6 - 1) + 2y + (z + 1) = 0Simplify and solve for z: z = -3 - (23y/6)

Therefore, the intersection of the two planes is given by the equations x = (4 - 9y) / 6, y = y, and z = -3 - (23y/6), where y can be any real number.

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Heidi's hair was 2/3 of a meter long. her grandfather cut off 1/6 of a meter of her hair. how long is heidi's hair now? Segregation and expulsion are examples of __________ discrimination. ______________ variables are useful for establishing two-way communication between modules. Your ems team is performing cpr on a 60-year-old male in cardiac arrest. you connect the aed, push the analyze button, and receive a "no shock advised" message. you should: who sculpted the Winged Victory of Samothrace What viewpoint about German soldiers does Maupassant convey in this excerpt of "Two Friends"?A. They are all loyal, but heartless. B. They are all coldhearted and inhuman. C. They are all sympathetic and smart. D. They are all men of their word and good soldiers. Energy from food is measured in..1) Joules 2) Watts 3) Calories 4) Kilograms A Manolo no le gusta quemarse con el sol. ____ un sombrero grande. a. Se pondr b. Se pondrn c. Te pondrs Since the early 1990s, geneticists have produced ____________ crops that yield fruits and vegetables commonly found in U.S. supermarkets. Which source could be considered unreliable because it accepts advertisements from sponsors?A)About.comB)department-of-education.govC)Va-Tech.eduD)nasa.gov Why do the rest of the children not believe Lucy when she returns from Narnia? A. Edmund sees Lucy in the wardrobe. B. Lucy has a habit of telling stories. C. Lucy was hiding from them. D. The wardrobe appears perfectly normal. if the least value the variable k can be is 12,which of the following inequalities best shows all the possible values of k Magma that forces its way into rocks and hardens is called Find all real numbers X such that 4x+2>14 AND -21x+1>22 simplify the radical expression square root of 64y^10h^5/16y^12h^5 The diameter of your bicycle wheel is 25 inches. How far will you move in two turns of your wheel? Use 3.14 for .A)about 39 inchesB)about 78 inchesC)about 157 inchesD)about 314 inches Which event of the 1800s led to increased interest in the colonization of Africa? A. the Industrial Revolution B. World War I C. World War II D. the American Revolution Presidents lamar's anti-native american beliefs led to several skirmishes. which conflict occurred on march 19, 1840 and involved the comanches and southern texans? Geographers use a set of imaginary lines that circle the globe in the east-west and north-south directions. What description best describes latitude or east-west lines?A) The lines are perpendicular and pass through the north and south poles.B) The lines divide the globe into two halves called the western and eastern hemispheres. C) The lines divide the globe into landmasses called the western and eastern hemispheres.D) The lines are parallel and measure the distance north and south of the equator Whats the name of the protagonist in Catcher In The Rye?