Which equation represents the line that passes through the points (-4, 4) and (8, -2) ?

Answers

Answer 1

Answer:

There fore the answer is  y=(-1/2)x +2

Step-by-step explanation:

Find straight line question passing through the points (-4,4) and (8,2)

Use formula (y-y1) (x2-X1) = (y2-V1) (x-x1)

(y-Y1) (x2-X1) = (y2-Y1)(x-x1)

Substitute points in formula

(y-4)(8+4) = (-2-4) (x+4)

(y-4)12=-6(x+4)

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

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

y=(-1/2)x +2


Related Questions

PLEASE HELP I NEED TO GET DONE IN 10 MINUTES!!

The marbles below (with colors green, orange, red, pink, and blue) are placed into a bag and mixed up. Kevin is asked to pick a marble from the bag without looking. What is the probability that he will not choose a green or a red marble?

Answers

Answer:

11 over 20

Step-by-step explanation:

There are 20 altogether and 9 are green and red 20 - 9 = 11

artem is inviting 3 friends each friend wants 8 cookies and each box has 4 cookies how many boxes should artem get

Answers

Answer:

6 boxes

Step-by-step explanation:

2 boxes for each friend

:)

Answer:

So there's Artem and his 3 friends so thats 4 people and everyone wants 8 cookies each box has 4 cookies so he would buy 32 boxes.

Step-by-step explanation:

8. A school official calculated that the school bus arrives by 8 a.m. 90% of the time. If the
bus runs 200 days, on how many days can the school official expect it to arrive after
8 a.m.?

Answers

Answer:

20 days of the 200 total days

Step-by-step explanation:

1.  200/100=2

2. 2x90=180

3. 200-180=20

helppppppppppppppppppppppp meeeeeeeeee

Answers

Question 1: C. What are the distances my classmates’ bike ride to school?

Question 2: The distribution is approximately symmetrical

Question 3: A, C, D, F

Question 5: 54 points

More people leave Anytown, AL each year than move into it. The population over the past 20 years is shown in the table. Use technology to find an equation that models the exponential decline. Report the rate of decline below, rounding to the nearest hundredth.

Year Population
2000 30,000
2005 27,000
2010 25,500
2015 24,000
2020 22,400

Answers

The equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

Let's suppose the equation that models the exponential decline is:

[tex]\rm y = a(b^x)[/tex]

From the data given, we can calculate the value of a and b:

a = 46348587109809610

b = 0.9861

y = 46348587109809610(0.9861)ˣ

Thus, the equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.

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One factor of this polynomial is (2x - 1). Use long division to determine which expression represents the other factor. 2x³+ 5x² - 27x + 12​

Answers

-> 3rd answer is correct

find the value of x in each of the following
2x/3=8

Answers

Answer:

The value of x is 12.

Step-by-step explanation:

I took extra ciricular math classes in high school, So I am a pro at equations

Question provided in image:

Answers

Answer:

the slope of parallel lines are - the same

i.e,m1=m2

the slope of perpendicular lines are- negative reciprocals

i.e,m1*m2= -1

where, m1 and m2 slopes of two lines

A. The slope of parallel lines are: the same/equal

B. The slope of perpendicular lines are negative reciprocals.

What are the Slopes of Parallel and Perpendicular Lines?

If two lines are parallel to each other, they will have the same slope. If the slope of one is 4, the slope of the other line that is parallel to it would also be 4.

On the other hand, the slope of perpendicular lines are negative reciprocal of each other. That is, if the slope of one is, -1, the slope of the other line would be 1.

Therefore, parallel lines have the same slope, while perpendicular lines have slope values that are negative reciprocal to each other.

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Which is the correct quotient with a letter as the remainder?

Answers

Answer:

A) 913 / 29 = 31 r 14

Step-by-step explanation:

31 × 29 + 14 = 913

Then

913 / 29 = 31 r 14

Solve the equation
x²+4x-7=0
by completing the square
give your answers to 2 decimal places.

Answers

Hope this helps.

The organic chemistry tutor is really helpful as well.

50 cm = _____ km

1000 g = _____ cg

Answers

Answer:

0.0005 and 100000

Step-by-step explanation:

solve them in the answer.

Solve the system with elimination.
x - 2y = 4
3x + y = 6
? ]

Answers

[tex]\bold{FULL ANSWER:}[/tex]
x = 16/7, y = -6/7

For elimination I will multiply the first equation by -3 to get the x to cancel

x - 2y = 4 --> -3x + 6y = -12

Now we bring back the other equation and treat it like an addition problem:

-3x + 6y = -12
3x + y = 6
+———————
7y = -6

y = -6/7

To get x we will use this y-value and plug it into one of the equations:

3x + y = 6,
3x + (-6/7) = 6
3x - 6/7 = 6
3x = 48/7
x = 16/7

So the solution is x = 16/7, y = -6/7, and if you are ever unsure you can put both of these values into both system of equations to see if the equations are true.

In trapezoid PQRS, if segment XY is the midsegment, which could be the lengths PQ and SR? Select all that apply.
17 cm and 31 cm
18 m and 30 m
4 cm and 8 cm
9 cm and 15 cm
12 cm and 36 cm
18 cm and 30 cm

please explain how you get the answer :)​

Answers

Answer:

17 cm and 31 cm

12 cm and 36 cm

18 cm and 30 cm

Step-by-step explanation:

The midsegment of a trapezoid is equal to the average of the two bases. When taking an average of two numbers, you add them and divide by 2. So  the equation will be as follows:

[tex]\frac{PQ + SR}{2} = XY[/tex]

XY is given to be 24, so:

[tex]\frac{PQ + SR}{2} = 24[/tex]

Multiplying on both sides gets us:

[tex]PQ + SR = 48[/tex]

So any values of PQ and SR that add to 48 work. Therefore, we will sum the given options:

17 cm + 31 cm = 48 cm

18 m + 30 m = 48m (Did you mean meters?)

4 cm + 8 cm = 12cm

9 cm + 15 cm = 24cm

12 cm + 36 cm = 48cm

18 cm + 30 cm = 48 cm

I WILL GIVE YOU BRANILEST!

This is a really important question that I need to know before 1! Please explain your answer! PLEASE EXPLAIN!

What is the length of the line segment?

Answers

sorry i know this is after 1 but the answer of the length is 7 since from -3+7=4

Answer:

[tex]l(\overline {AB})\approx9.22\: units[/tex]

Step-by-step explanation:

A = (-2, -3), B = (-8, 4) (Given)

[tex]\implies x_1= -2,\: y_1=-3,\: x_2=-8,\: y_2= 4[/tex]

By distance formula length of segment AB can be given as:

[tex]l(\overline {AB})=\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}[/tex]

[tex]l(\overline {AB})=\sqrt{[-8-(-2)]^2 +[4-(-3)]^2}[/tex]

[tex]l(\overline {AB})=\sqrt{[-8+2]^2 +[4+3]^2}[/tex]

[tex]l(\overline {AB})=\sqrt{[-6]^2 +[7]^2}[/tex]

[tex]l(\overline {AB})=\sqrt{36 +49}[/tex]

[tex]l(\overline {AB})=\sqrt{85}[/tex]

[tex]l(\overline {AB})=9.21954446\: units[/tex]

[tex]l(\overline {AB})\approx9.22\: units[/tex]

can someone help me with " |-3|-10 " please.

Answers

Answer:

-7

Step-by-step explanation:

| anything inside these vertical lines becomes positive when the lines are removed. These lines are absolute value lines |

So |-2| becomes 2 when absolute bars are removed.

Using this logic, |-3| becomes 3 when bars removed. Thus 3 - 10 = -7

Need steps with the answer and fast as possible. i will grant you 50 points literally Meena's mother is four times as old as meena. after 5 years,her mother will be three times as old as she will be then. whats their present ages

Answers

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Given :-

Meena mother is 4 times as old as Meena After 5 years, Her mother will be 3 times as old as she will be then.

To Find :-

We have to find the present ages of Meena and her mother.

Let's Begin :-

Let the present age of Meena be ' x ' years.

Now, It is given in the question that her mother is 4 times as old as Meena

That means,

Present age of her mother

[tex]\sf{ = 4x \: years }[/tex]

Now,

After 5 years

The age of the Meena will be

[tex]\sf{ = x + 5 \: years }[/tex]

Therefore,

According to given condition,

The age of her mother will be

= [tex]\sf{ = 4x + 5 \: years ...eq(1)}[/tex]

But, It is given that,

After 5 years, Her mother will be 3 times as old as Meena.

That is,

After 5 years, Her mother age will be

[tex]\sf{ = 3(x + 5) \: years ...eq(2)}[/tex]

From eq(1) and (2) :-

[tex]\sf{ 4x + 5 = 3(x + 5) }[/tex]

[tex]\sf{ 4x + 5 = 3x + 15}[/tex]

[tex]\sf{ 4x - 3x = 15 - 5 }[/tex]

[tex]\sf{ x = 10 \: years }[/tex]

Thus, The present age of the Meena will be 10 years.

Therefore,

The present age of her mother will be

[tex]\sf{ 4x = 4 × 10 }[/tex]

[tex]\sf{ = 40 \: years }[/tex]

Hence, The present of Meena and her mother is 10 years and 40 years.

Can somebody help me with this question?​

Answers

Answer:

D. tanθ = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Trigonometric applied here :

tanθ = 1/cotθ

=============================================================

In Quadrant III, all values of tan and cot are positive.

⇒ tanθ = 1/(3/4)

tanθ = 4/3

Name each indicated part of the algebraic expression.

4x + y
3
- 2.2

Answers

Answer:

4 Coefficient-2.2 Constant1/3 Coefficienty/3 Termx Variable

Step-by-step explanation:

Some qucik lil definitions of these words

Coefficient - A multiplicative factor in some term of a polynomial, a series, or any expression.

Constant - A value that is unchanging.

Term - A  single mathematical expression.

Variable - A letter used to represent an unknown.

The coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).



To determine if it is a parallelogram, use the converse of the parallelogram diagonal theorem. This states that if the diagonals
, then the quadrilateral is a parallelogram.



The midpoint of HJ is
and the midpoint of IK is (2, 2).



Therefore, HIJK is a parallelogram because the diagonals
, which means they bisect each other.

Answers

Check the picture below.

well, HIJK is a parallelogram only if its diagonals bisect each other, if that's so, the midpoint of HJ is the same as the midpoint of IK, let's check

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ H(\stackrel{x_1}{0}~,~\stackrel{y_1}{5})\qquad J(\stackrel{x_2}{4}~,~\stackrel{y_2}{-1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 4 + 0}{2}~~~ ,~~~ \cfrac{ -1 + 5}{2} \right)\implies \left( \cfrac{4}{2}~~,~~\cfrac{4}{2} \right)\implies \boxed{(2~~,~~2)} \\\\[-0.35em] ~\dotfill[/tex]

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ I(\stackrel{x_1}{3}~,~\stackrel{y_1}{3})\qquad K(\stackrel{x_2}{1}~,~\stackrel{y_2}{1}) ~\hfill \left(\cfrac{ 1 + 3}{2}~~~ ,~~~ \cfrac{ 1 + 3}{2} \right)\implies \boxed{(2~~,~~2)}[/tex]

Answer:

1. bisect each other 2. (2,2) 3. have the saem midpoint

Step-by-step explanation:

The coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).

To determine if it is a parallelogram, use the converse of the parallelogram diagonal theorem. This states that if the diagonals

bisect each other

, then the quadrilateral is a parallelogram.

The midpoint of HJ is

(2, 2)

and the midpoint of IK is (2, 2).

Therefore, HIJK is a parallelogram because the diagonals

✔ have the same midpoint

, which means they bisect each other.

help with practice problem

Answers

Answer:

y = 2x - 6

Step-by-step explanation:

For parallel lines, the mx (the slope) stays the same but the y-int changes.

Can someone help real quick? I know x=15 but I can't figure out the length.

Answers

Answer:

23

Step-by-step explanation:

AB and BC are tangent to circle P, which means that both lines are congruent. Set AB and CB equal to each other:
2x-7=5x-52
3x=45
x=15
Plug 15 into AB:
2(15)-7 = 23
Length of AB is 23.

The triangles are congruent by SSS and HL

Answers

Answer:

D

Step-by-step explanation:ik

the address by ronald reagan is one of his most famous speeches. Taking into consideration the principles of effective public speaking you have studied so far, list at least 4 reasons why you feel this speech is still considered great?

ASAP 100 POINTS

Answers

Answer:

nation's leader

Step-by-step explanation:

As the nation's leader, President Reagan decided to address the country about the Challenger tragedy. Putting aside his scheduled State of the Union address before Congress, the President instead delivered an Oval Office address to comfort the people as the nation mourned.

Nerys checks her tax bill from last year
the tax rates were as follows:
•No tax on the first £11,000 of earnings
•Earnings in excess of £11,000 and up to £43,000 taxed at a rate of 20%
•Earnings in excess of £43,000 and up to £ 150,000 taxed at a rate of 40%
•Earnings over £150,000 taxed at a rate of 45%
Last year Nerys earned £162,700 before tax.
how much tax did she pay in total?

Answers

Answer:

  £54,915

Step-by-step explanation:

The tax table is applied as follows:

  first 11,000 -- no tax

  11,000 to 43,000 -- tax is 0.20 × (43,000 -11,000) = 6,400

  43,000 to 150,000 -- tax is 0.40 × (150,000 -43,000) = 42,800

  150,000 to 162,700 -- tax is 0.45 × (162,700 -150,000) = 5,715

Then the total tax on earnings of £162,700 is ...

  £6,400 +42,800 +5,715 = £54,915

Nerys paid a tax of £54,915.

_____

Additional comment

The tax computation could be simplified to ...

  f(x) = max(0, 0.2x -2200, 0.4x -10800, 0.45x -18300)

In this instance, the value 0.45x -18300 is the highest, at £54,915. Not all the computations are required if you realize the lines cross at x = 11,000, 43,000, and 150,000.

Helppppp fastttt !!! Pleaseeee and tyyyyy

Answers

Rearrange variables to the left side of the equation: -7x ≥ 41 - 13
Calculate the sum or difference: -7x ≥ 28
Divide both sides of the inequality by
the coefficient of variable: x ≤ 28/7
Cross out the common factor: x ≤ -4
Graph on a number line:

Answer:

x ≤ -4

Step-by-step explanation:

-7x + 13 ≥ 41

Rearrange the terms

-7x ≥ 41 - 13

Calculate

-7x ≥ 28

Divide both sides

x ≤ -28/7

Simplify

x ≤ -4

HOPE THIS HELPS AND HAVE A NICE DAY <3

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

Answers

Answer: which one ? ill edit this w/ the answer

Step-by-step explan

Find the value of x in the figure.

Answers

Answer:

120

Step-by-step explanation:

Because triangle is always 180.

180-30-30=120


Michael is investing $2500 at his bank. The savings account he chooses earns interest at a rate of 6%
annually. How much is in the account after four years?

Answers

So

P=2500R=6%T=4years

Interest

I=PRT/100I=2500(6)(4)/100I=25(24)=$600

Amount

2500+600$3100

find the product and simplify your answer 5x/x^2-1 * x+1/x^2

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of the expression (5x/x^2-1 )×(x+1/x^2) is 5/x(x-1).

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The simplification of the given expression can be done as,

[tex]\dfrac{5x}{x^2-1} \times \dfrac{x+1}{x^2}\\\\=\dfrac{5x}{x^2-1^2} \times \dfrac{x+1}{x^2}\\\\=\dfrac{5x}{(x+1)(x-1)} \times \dfrac{x+1}{x^2}\\\\= \dfrac{5}{(x-1)x}[/tex]

Hence, the simplification of the expression (5x/x^2-1 )×(x+1/x^2) is 5/x(x-1).

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Convert the polar equation to rectangular coordinates. (use variables x and y as needed. )

Answers

The rectangular coordinates will be (x=7cot(θ), y=7).

What are polar coordinates?

A pair of coordinates locating the position of a point in a plane, the first being the length of the straight line ( r ) connecting the point to the origin, and the second the angle ( θ ) made by this line with a fixed line.

We have the standard conversion toolbox:

[tex]x=rcos(\theta)\\\\y=rsin(\theta)[/tex]

Here it is given that

[tex]r=7cosec(\theta)[/tex]

so

[tex]x=7cosec(\theta)\times cos(\theta)=\dfrac{7cos(\theta)}{sin(\theta )}=7cot(\theta)\\\\\\y=7cosec(\theta)\times sin(\theta)=\dfrac{7sin(\theta)}{sin(\theta)} = 7[/tex]

therefore the rectangular coordinates are (7cot(θ), 7)

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