Write an equation of the line that passes through point (6, 1) and has the slope m=−3.

Write An Equation Of The Line That Passes Through Point (6, 1) And Has The Slope M=3.

Answers

Answer 1

Answer:

y = -3x + 19.

Step-by-step explanation:

y - y1 = m(x - x1)

Here m = -3 and (x1, y1) is (6, 1) so it's:

y - 1 = -3(x - 6)

y = -3x + 18 + 1

y = -3x + 19.

Answer 2

The equation that passes through the point (6, 1) and a slope m = -3 is

3x + y - 19 = 0.

Given,

Write an equation of the line that passes through the point (6, 1) and has the slope m=−3.

What is the equation of a line that passes through a point and has a slope?

Let the point be ( a, b )

Slope = m.

The equation is given by:

y - b = m ( x - a )

We have,

Point = ( 6 , 1 )

Slope = -3

The equation is:

y - 1 = -3 ( x - 6 )

y - 1 = -3x + 18

y + 3x - 1 - 18

y + 3x - 19 = 0

3x + y - 19 = 0

Thus the equation that passes through the point (6, 1) and a slope m = -3 is 3x + y - 19 = 0

Learn more about how to write an equation in the slope-intercept form here:

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Related Questions

Which simplified fraction is equivalent of 5.6 3/15 14/25 5/6 14/250

Answers

Answer:

4/25

Step-by-step explanation:

it would be 14/25 which equals 0.56 which is also equivalent to 5.6 and it’s just in a different form


(Will mark brainliest if corret.)

Margaret is saving money for her summer vacation. She calculates that her starting amount is 0.4% of the total amount she wants to save. What is 0.4% written as a decimal?

Answers

Answer:

0.4% = 0.40 or 0.4

ols help and hurry ASAP Find m4+ 1/m4 , if m− 1/m =3.

Answers

Answer: 257/16

Step-by-step explanation:

You are given the algebraic expression: m^4+ 1/m^4

if m− 1/m = 3

Solve for m by cross multiplying

m - 1 = 3m

Collect the likes terms

3m - m = -1

2m = -1

m = -1/2

Substitutes m into the algebraic expression above.

(- 1/2)^4 + 1/(- 1/2)^4

Open the bracket

1/16 + 1/(1/16)

1/6 + 16

16(1/16) or 257/16

Gasoline prices are rising at a rate of 0.5% per month. What is their doubling time? By what factor will prices increase in one year? In six years?

Answers

Answer:

double: 1%

year6%

6 year: 36%

Step-by-step explanation:

Can you find the missing segment to the triangle in the image

Answers

x/4 = 7/2
2x = 4•7
2x = 28
28/2 = 14
x = 14

Consider the graph of the linear function h(x) = –6 + h(x) equals negative 6 plus StartFraction 2 Over 3 EndFraction x. x. Which quadrant will the graph not go through and why?

Answers

Answer:

2nd quadrant.

Step-by-step explanation:

The given function is

[tex]h(x)=-6+\dfrac{2}{3}x[/tex]

We need to find the quadrant from which the graph of function is not passing.

At x=0,

[tex]h(0)=-6+\dfrac{2}{3}(0)=-6[/tex]

So, y-intercept is (0,-6).

At h(x)=0,

[tex]0=-6+\dfrac{2}{3}x[/tex]

[tex]6=\dfrac{2}{3}x[/tex]

[tex]18=2x[/tex]

[tex]9=x[/tex]

So, x-intercept is (9,0).

It means the graph intersect negative side of y-axis and positive side of x-axis. When we join these two points, we get the graph is not passing through the 2nd quadrant.

Therefore, the required quadrant is 2nd quadrant.

Answer:

Quarderant 2

Step-by-step explanation:

Brainliest, please?

1. Label and display your new polynomial identity 2. Prove that it is true through an algebraic proof, identifying each step 3. Demonstrate that your polynomial identity works on numerical relationships (x + y)* (x^2 + 2xy + y^2) the new polynomial

Answers

Answer:

(ax+b) (x+a)

Step-by-step explanation:

Trying to find the missing segment to the triangle in the attached image.

Answers

Answer:

36 units.

Step-by-step explanation:

we will use concept of basic proportionality theorem,

it states that , when a line is drawn parallel to one side of the triangle and intersect the other two sides then the two sides are divided in the same ratio.

Example:

In a triangle ABC

If  DE is  parallel to BC

D is a point on line AB and E is  point on AC, then

by basic proportionality theorem)

AD/DB = AE/EC

_____________________________________

in the problem  given one side has a parallel line drawn to it

Hence we can use basic proportionality theorem in it

20/30 = 24/?

2/3 = 24/?

=> ? = 24*3/2 = 36

Hence, missing segment value is 36 units.

(80 pts, pls help!) Using the following sample space: {(G,G), (B,G), (B,G), (B,B)} define the random variable for picking an outcome of green.

Answers

Answer:

X = 1, 2.

Step-by-step explanation:

In the sample space, the most greens you can get are 2. The only other thing with green would be one green in the pair. So, the random variable for picking an outcome of green would be X = 1, 2.

Hope this helps!

5.2 is 23.7 % Of what number? (Round to the nearest hundredth.)

Answers

Answer:

21.94

Step-by-step explanation:

Convert the percentage to a decimal.

23.7% = 0.237

Divide the number the decimal.

5.2/0.237 = 21.94

The answer is 21.94.

What is the formula for finding the area of a regular polygon with perimeter P and apothem length a? A. A = 1/2(Pa) B. a = PA C. A = Pa D. a = 1/2(PA)

Answers

Answer:

The answer is A.)  A=1/2(Pa)

Step-by-step explanation:

The area of a regular polygon with perimeter 'P' and apothem length 'a' is [tex]\frac{1}{2}Pa[/tex]    .

What is a regular polygon?

A polygon is a two-dimensional geometrical figure that has 'n' number of equal sides.

Given, the perimeter of the regular polygon is 'P'.

Apothem length of the polygon is 'a'.

Therefore, the area of a regular polygon is

[tex]= \frac{1}{2}Pa[/tex]

Learn more about a regular polygon here: https://brainly.com/question/4442699

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Figure JUMP is a parallelogram. Which of these is congruent to UM?
A. JP
B. UJ
C. MP
D. UP​

Answers

it would be JP which is A
it’s option A. So it’s JP

Suppose you roll a number cube. What is the theoretical probability of rolling a 5?

Answers

Answer:

1/6

Step-by-step explanation:

There are 6 possible outcomes when you roll a die

1,2,3,4,5,6

P(5) = number of outcomes with a 5/ total outcomes

        =1/6

One line passes through the points (−3,−1) and (1,−9). Another line passes through points (1,4) and (5,6). Are the lines parallel, perpendicular, or neither?

Answers

Answer:

the lines are perpendicular

Step-by-step explanation:

the first step to this question will be to find the slope intercept form of each of these lines. to do this we will first:

find the slope-

(-3,-1) and (1,-9)

y2-y1 / x2- x1

-9 - (-1)  / 1 - (-3)  (negative - negative = positive)

-8 / 4

therefore the slope is:

-2

we know that slope intercept form is y=mx+b

so.. y= -2x +______

I left the last part blank, because we only have the first half of the equation, now we will substitute the value of x and y into the equation from one of the coordinate points given above.

(-9) = -2(1) + _____

now we can simplify:

-9 = -2

this equation (-9 = -2) is not true, therefore we need to determine what we have to do to -2 to make it equal to -9.

-9 = -2 - 7 is true

therefore the answer is :

y= -2x-7

therefore the slope intercept form is y= -2x - 7

now that you know how to find the slope intercept form, you can find the other slope intercept form, and i'll provide the answer:

the slope intercept form you should find is

y= [tex]\frac{1}{2}[/tex]x + [tex]\frac{7}{2}[/tex]

now when we plot both of these lines we can see that:

the lines are perpendicular, meaning the lines pass through each other.

Answer:

the two lines are perpendicular to one another

Step-by-step explanation:

Find the slopes of the two lines and then compare them.

If the slopes are the same, the lines are parallel.

If the slopes are negative reciprocals, the lines are perpendicular.

If neither of these conditions hold, then the lines are neither parallel nor perpendicular.

(−3,−1) and (1,−9):  As we go from the first point to the second, x (the "run") increases by 4 and y (the "rise") decreases by 8.  Thus, the slope of the line through (−3,−1) and (1,−9) is m = rise / run = -8/4, or m = -2.

(1,4) and (5,6):  As we go from the first to the second, x increeases by 4 and y increases by 2.  Thus, the slope of the line through (1,4) and (5,6) is

m = rise / run = 2/4 = 1/2.

Because 1/2 is the negative reciprocal of -2, we know that the two lines are perpendicular to one another.

The sum of all the interior angles in a triangle is blank degrees.

Answers

Answer:

180 degress

Step-by-step explanation:

triangles always add up to 180

NO is parallel to ML. How long is OL?

2/3ft
6ft
8ft
12ft​

Answers

Answer:

Step-by-step explanation:

Basic Proportionality Theorem: Basic Proportionality Theorem states that "If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio".

Hence, KN/MN=KO/OL.......by bpt

i.e.= 3/9=2/OL

18/3=OL

6feet =OL

answer is b)6feet

pls mark brainliest if it helps

Solve for x
X-5= -9 please help

Answers

Answer:

A. x = -4

Step-by-step explanation:

We are given the equation:

x - 5 = -9

In order to solve for x, we must "undo" the -5 by adding 5 to both sides:

x - 5 + 5 = -9 + 5

x = -4

The answer is thus A.

~ an aesthetics lover

x-5= -9

we need to put everything in the right part to easily calculate it:

x=5 -9 or you can write (-9+5)

then, we have that x= -4

Can anyone help me do this

Answers

Answer:

260% of 420=1092

166 2/3%of 60= 100

166 2/3% of 60 is 100

What is the degree of the polynomial given below?
F(x) - 2x3 - x2 +5x - 3

Answers

Answer:

3

Step-by-step explanation:

3 is the degree of polynomial [tex]f(x) = -2x^3-x^2+5x-3[/tex]

=> Degree of the polynomial is the highest power/exponent contained by the variable in the expression.

Answer:

The degree of the polynomial would be 3, since 3 is the largest exponent

Step-by-step explanation:

PLEASE HURRYYYYYYYYYY!!!!!!!!


In OD, AB = CB and marc CE - 52. Find mZBCE. (See picture)

Answers

Answer:

A. 109

Step-by-step explanation:

We know that since AB = CB, then ΔABC is isosceles.

Since AC, one of the sides of ΔABC, is on the diameter of circle D, by definition, we know that ΔABC is also a right triangle. Thus, if ΔABC is an isosceles right triangle, then ∠BAC = ∠BCA = 45°.

Draw a line connecting D to B so that we now have isosceles triangle BDC. Since arc BC is 52°, by definition of central angles, ∠BDC is also equal to 52°. Then, ∠DBC = ∠DCB = (180 - 52)/2 = 64°.

∠BCE = ∠DCB + ∠BCA

∠BCE = 64 + 45 = 109°

The answer is thus A.

~ an aesthetics lover

Mathematics, Help, not sure about my answer on this one

Answers

Answer:

F. 2 1/9

Step-by-step explanation:

Step 1: Substitute q

[tex]r = 3(\frac{1}{3^n} )+2[/tex]

When you plug in n = 1, 2, 3:

n(1) = 3

n(2) = 2.11111

n(3) = 2.3333

So our answer is F.

Choose the equation that represents a line that passes through points (-1, 2) and (3, 1).
0 4x - y = -6
O x + 4y = 7
Ox - 4y = -9
O 4x + y = 2

Answers

Answer:

The answer is x + 4y = 7

Equation of a line is y = mx + c

Where m is the slope

c is the y intercept

Slope of the line between the points

(-1, 2) and (3, 1) is

Slope = 1-2/ 3+1 = - 1/4

Equation of the line using point

(-1, 2) is

y - 2 = -1/4(x + 1)

4y - 8 = - x - 1

x + 4y = 7

Hope this helps you

Michael Can skateboard 100 feet in 5.4 seconds how fast can Michael skateboard in miles per hour?

Answers

It is equivalent to 12.63 MPH Roughly :)

PLEASE HELP! DUE BY MIDNIGHT!

Answers

Answer:

it's over already? or what?

A trader claims that the proportion of stocks that offer dividends is different from 0.14. If the trader wants to conduct a hypothesis test, should they use a left-, right-, or two-tailed hypothesis test to analyze whether the proportion of stocks that offer dividends is different from 0.14? Select the correct answer below: Left-tailed test Right-tailed test Two-tailed test

Answers

Answer:

The correct option is;

Two-tailed test

Step-by-step explanation:

From the interpretation of the question statement, the trader wants to conduct a hypothesis test on the trader's claim that the proportion of stocks that offer dividends is different from 0.14

Given that the difference is hypothesized, then the null hypothesis, H₀ and the alternative hypothesis, H₁ should be written as follows;

H₀: Null hypothesis (no difference, or no change)

H₁: μ ≠ μ₀ which is hypothesizing  difference which is known as a two-tailed test

The confidence level is then selected and the test statistic is calculated

Which points lie on more than one plane?
O A ands
X and Y
O Mands
M and R

Answers

Answer:

x and y

Step-by-step explanation:

x and y are on the intersection of the 2 planes, meaning they lie on more than 1 (two) planes.

If we're being technical, it's all of them, because an infinite amount of planes go through 2 points.

expression
equation
formula
identity
inequality
term
factor
multiple

Choose only two words from the box above to make this statement correct.
8y is a _____in the_____7x + 8y​

Answers

Answer:

Term

Expression

Step-by-step explanation:

8y is a term in the expression

7x + 8y

There are two terms in the expression 7x + 8y

First is 7x

Second is 8y

7 and 8 are coefficient of x and y respectively

7x+8y is an expression because there is no equality sign(=), it doesn't equate to any value.

Unlike an equation that has the Equal to sign(=)

There are three basic types of expression:

1. Arithmetic expression

2. Character expression

3. Logical or relational expression

Three congruent isosceles triangles $DAO$, $AOB$ and $OBC$ have $AD=AO=OB=BC=10$ and $AB=DO=OC=12$. These triangles are arranged to form trapezoid $ABCD$, as shown. Point $P$ is on side $AB$ so that $OP$ is perpendicular to $AB$.


Point $X$ is the midpoint of $AD$ and point $Y$ is the midpoint of $BC$. When $X$ and $Y$ are joined, the trapezoid is divided into two smaller trapezoids. The ratio of the area of trapezoid $ABYX$ to the area of trapezoid $XYCD$ in simplified form is $p:q$. Find $p+q$.

Answers

Answer:

p+q = 12

Step-by-step explanation:

Let's draw the diagram obtained from the given information. Find attached the diagram.

When X and Y divides the line AD and line BY into half respectively, the diagram splits into two trapezoid.

See attachment for diagram.

Ratio of area ABYX to XYCD = p:q

p+q = ?

Area of trapezoid = ½(base 1 + base 2)height

For trapezoid ABYX:

Base 1 = AB = 12, Base 2 = XY

Using Pythagoras theorem to find height of ∆AOB

AO² = AP² + PO²

PO² = (10²-6²) = (100-36)

PO = √64 = 8

height of trapezoid ABYX =h = ½ PO

= 8÷2 = 4

base of triangles in trapezoid ABYX:

base² =  5² -4² = (25-16)

base = √9 = 3

XY = 12+3+3 = 18

Area of trapezoid ABYX = ½(AB + XY)height

= ½(12+18)×4

= ½(120) = 60

Area of trapezoid XYDC = ½(XY + DC)height

Height of both trapezoid = ½ PO = 4

base of triangles in trapezoid XYCD = 3

DC = 3+18+3 = 24

= ½(18+24)×4

= ½(168) = 84

Ratio of both areas

p:q = 60: 84

p:q = 5:7

p+q = 5+7

p+q = 12

What point is a solution to the inequality shown in this graph

Answers

Answer: A

Step-by-step explanation:

The solution to the graph of inequality given above is the shaded portion or the shaded part of the graph.

Since the point ( -3, -3) and ( 3, -1 ) are on the point line, and the line is a broken line, the inequality means greater than. That means that solution must be greater than those point. They are therefore not part of the solution.

Point ( 5, -5), where x = 5 and y = -5, according to the graph, the shaded portion does not cover y at -5.

Option C is therefore the correct answer which is within the shaded portion. (1, 5)

Question 3(Multiple Choice Worth 1 points)

(06.02 LC)


A scatter plot is shown below:


Graph shows numbers from 0 to 10 at increments of 1 on the x axis and number s from 0 to 10 at increments of 1 on the y axis. Scatter plot shows ordered pairs 1, 9.1 and 2, 8 and 3, 7.6 and 4, 6.1 and 5, 5 and 6, 4 and 7,4 and 8, 3 and 9, 2.5 and 10, 1.


Which two ordered pairs can be joined to draw most accurately the line of best fit for this scatter plot?


(4.5, 10) and (10, 6.5)

(0, 9.8) and (10, 1.2)

(0, 4) and (5, 0)

(0, 6) and (7, 0)

Answers

Answer:

(0,9.8) and (10,1.2)

Step-by-step explanation:

it makes the best line

The two ordered pairs can be joined to draw most accurately the line of best fit for this scatter plot are (0, 9.8) and (10, 1.2).

Option B is the correct answer.

What is a scatterplot?

A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.

In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.

The position of each point on the graph represents the values of both variables for that particular observation.

We have,

To determine which two ordered pairs can be joined to draw the most accurate line of best fit for the scatter plot, we need to look for pairs of points that are representative of the overall trend in the data.

We can plot the given points and visually inspect the scatter plot to find the line of best fit.

 10|         o

   |             o

 9 |          o

   |          o

 8 |       o

   |       o

 7 |     o

   |    o

 6 |  o

   |o

 5 |o

   |            o

 4 |       o        o

   |                o

 3 |         o

   |             o

 2 |           o

   |                o

 1 |                o

   |____________________________

     0  1  2  3  4  5  6  7  8  9 10

From the scatter plot, we can see that there is a general downward trend from left to right and that the points are somewhat scattered around this trend.

One possible way to draw the line of best fit is to connect the points (0, 9.8) and (10, 1.2).

This line represents the overall trend in the data and passes close to many of the given points.

Therefore,

The two ordered pairs can be joined to draw most accurately the line of best fit for this scatter plot are (0, 9.8) and (10, 1.2).

Learn more about scatterplots here:

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