what is the slope of the line perpendicular to the line through the points (-1,6) and (3,-4)

Answers

Answer 1

Answer:

The slope of the perpendicular line is 2/5.

Step-by-step explanation:

We want to find the slope of the line that is perpendicular to the line that passes through the points (-1, 6) and (3, -4).

Recall that the slopes of perpendicular lines are negative reciprocals of each other.

Find the slope of the original line:

[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-4)-(6)}{(3)-(-1)}=\frac{-10}{4}=-\frac{5}{2}[/tex]

The slope of the perpendicular line will be its negative reciprocal.

Thus, the slope of the perpendicular line is 2/5.

Answer 2
Answer:

The slope of the line perpendicular to the line through the points (-1,6) and (3,-4) is -5/2.

Step-by-step explanation:

We have to find the slope of the line perpendicular to the line through the points (-1,6) and (3,-4).

using the formula;-

m = (y²-y¹) / (x²-x¹)

Where,

m = slope ( y² - y¹) = ( -4 -6 )( x² - x¹) = ( 3 - 1)

plug the value and simplify.

m = ( (-4 ) - 6)/(3 - (- 1)

m = - 10 / 4

m = - 5/2

Hence, The slope of the line perpendicular to the line through the points (-1,6) and (3,-4) is -5/2.


Related Questions

solve for
 (6x + 9)/3 =​

Answers

Hello!

(6x + 9)/3 =

= 3(2x + 3)/3 =

= 2x + 3

Good luck! :)

help please
1 2 3 4 5 6 7 8 9 10

Answers

Answer:

place it 2 3 4 5 6 7 8 9 10 1 then is come 18

Answer:

2 3 4 5 6 7 8 9 10 1 then come 18

Help me!! In class right now!

Answers

x would be 15.

you cross multiply.
10/x = 6/9
6x = 90
15 = x

One side of a rectangle is 2 yd longer than two times another side. The area of the rectangle is 84 yd2. Find the length of the shorter side.

Answers

Answer:

6 yds

Step-by-step explanation:

If we label the shorter side as x, the longer side can be represented as 2x + 2. Now, we can write an equation to model the situation. The area of a rectangle is the sides multiplied by each other:

84 = x(2x + 2)

84 = 2x^2 + 2x

Since all terms are divisible by two, we can divide both sides by it:

42 = x^2 + x

We can write the quadratic equation in standard form:

x^2 + x - 42 = 0

Now, we can factor. We are looking for numbers that multiply to -42 and add to 1. These numbers are 7 and -6. Factored the equation would be written as followed:

(x + 7)(x - 6) = 0

Using the zero-product property, we can obtain two equations and solve them:

x + 7 = 0

x  = -7

x - 6 = 0

x = 6

Since the side of a rectangle can't be negative, the answer must be 6 yds.

Pls answer this questionn plss ill mark u brainliest

Answers

Okay so there are 100 white balloons, 200 pink balloons, and we are specified that the ratio of pink to yellow is 10:1 soo we can plug 200:20 which can be simplified to 100:10 which can then be simplified to 10:1 there is our ratio. So there are 29 yellow balloons. Therefore there are only 80 balloons left which would mean there are 80 blue balloons!:)

could someone help with question 4 i’m not too sure what it means

Answers

all even except 4th equation

Step-by-step explanation:

an even equation is the one who proves that f(-x) = f(x)

Benjamin writes an expression for the sum of 1 cubed, 2 cubed, and 3 cubed -- What is the value of the expression? options---
18, 36, 38, or 20-- ANSWER FAST!!!

Answers

Answer:

36

Step-by-step explanation:

1^3 + 2^3 + 3^3= 1+8+27

9+27= 36

LAST QUESTION SOMEONE HELP PLEASE QUICK

Answers

Answer:

27%

Step-by-step explanation:

Answer:

p(j)=27% is correct answer

Equation for the length of a rectangle is two more than three times the width area is 161

Answers

Answer:

l = 3w+2

l = 23

Step-by-step explanation:

The area of a rectangle is

A = lw  where l is the length and w is the width

l = 3w+2

A = 161

161 = (3w+2) *w

Distribute

161 = 3w^2 +2w

Subtract 161 from each side

0=3w^2 +2w -161

Factor

0=(w-7)(3w+23)

Using the zero product property

w-7 =0   3w+23 =0

w=7  w = -23/3

Since the width cannot be negative

w=7

l = 3w+2

l = 3(7)+2

l = 21+2 = 23

Length = 3w + 2 = 23.

Step-by-step explanation:

Given :-

The length of a rectangle is two more than three times the width = ( 3w + 2 )Let width of rectangle be w.Area of rectangle = 161.

Find :-

Length of rectangle .

Solution :-

We know that ,

Area of rectangle = Length × Width.

Substitute the values

161 = (3w + 2) × w

Distribute w .

161 = 3w² + 2w

Move constant to the left-hand side and change their signs.

0 = 3w² + 2w - 161

Split the middle term- 2w as 23w - 21w.

0 = 3w² + 23w - 21w - 161.

Factor out w from first pair and -7 from second pair.

0 = w ( 3w + 23 ) -7 ( 3w + 23)

Factor out 3w + 23.

0 = (3w + 23 ) ( w - 7)

Using zero product property.

w - 7 = 0 , 3w + 23 = 0

Solve for w.

w = 7 , w = -23/3

Since, width of rectangle can't be negative.

so, w = 7 is right value of width.

Calculate for Length.

length = 3w + 2 ( plug the value of width)

length = 3 ( 7 ) + 2 Length = 21 + 2

Hence, length = 23

Find the product. If the result is negative, enter "-". If the result is positive, enter "+".

-7(- a2 ) 2 ( -b3 )

Answers

Answer:

7 a⁴ b³

Step-by-step explanation:

-7 ( -a²)²( - b ³)

A negative base raised to an even power equals a positive

= -7 ( a²)² ( - b³)

Multiplying an even number of negative terms make the product positive

= - 7 ( a²)² × b³

simplify the expression by multiplying exponent

= (-7)( a²*² )× b³

= 7 a⁴ b³

Answer:

Solution given:

(-a²)=-a*-a=a²

-b³=-b*-b*-b=-b³

now

-7(-a²)²(-b³)=-7*a⁴*-b³=-7*-1 *a⁴b³=7a⁴b³

the product is 7ab³.

so

enter"+".

Find x

(Help please)

Answers

89
Hope I helped you
Answer : x = 22

To find the value of x, we need to know that the two angles provided have the combined measurement of 180°.

Since both angles combined equal 180°, we can create an equation to solve for x.

(4x + 12) + (3x + 14) = 180

7x + 26 = 180

7x = 154

x = 22

Answer with explaination every steps​

Answers

Answer:

y = - 35

Step-by-step explanation:

Expressing as a fraction , that is

[tex]\frac{y}{-7}[/tex] = 5 ( multiply both sides by - 7 to clear the fraction )

y = - 35

In a county containing a large number of rural homes, 60% of the homes are insured against fire. Four rural homeowners are chosen at random from this county, and x are found to be insured against fire. Find the probability distribution for x.

Answers

Answer:

[tex]\begin{array}{cccccc}x & {0} & {1} & {2} & {3} & {4} \ \\ P(x) & {0.0256} & {0.1536} & {0.3456} & {0.3456} & {0.1296} \ \end{array}[/tex]

Step-by-step explanation:

Given

[tex]p = 60\%[/tex]

[tex]n = 4[/tex]

Required

The distribution of x

The above is an illustration of binomial theorem where:

[tex]P(x) = ^nC_x * p^x *(1 - p)^{n-x}[/tex]

This gives:

[tex]P(x) = ^4C_x * (60\%)^x *(1 - 60\%)^{n-x}[/tex]

Express percentage as decimal

[tex]P(x) = ^4C_x * (0.60)^x *(1 - 0.60)^{n-x}[/tex]

[tex]P(x) = ^4C_x * (0.60)^x *(0.40)^{4-x}[/tex]

When x = 0, we have:

[tex]P(x=0) = ^4C_0 * (0.60)^0 *(0.40)^{4-0}[/tex]

[tex]P(x=0) = 1 * 1 *(0.40)^4[/tex]

[tex]P(x=0) = 0.0256[/tex]

When x = 1

[tex]P(x=1) = ^4C_1 * (0.60)^1 *(0.40)^{4-1}[/tex]

[tex]P(x=1) = 4 * (0.60) *(0.40)^3[/tex]

[tex]P(x=1) = 0.1536[/tex]

When x = 2

[tex]P(x=2) = ^4C_2 * (0.60)^2 *(0.40)^{4-2}[/tex]

[tex]P(x=2) = 6 * (0.60)^2 *(0.40)^2[/tex]

[tex]P(x=2) = 0.3456[/tex]

When x = 3

[tex]P(x=3) = ^4C_3 * (0.60)^3 *(0.40)^{4-3}[/tex]

[tex]P(x=3) = 4 * (0.60)^3 *(0.40)[/tex]

[tex]P(x=3) = 0.3456[/tex]

When x = 4

[tex]P(x=4) = ^4C_4 * (0.60)^4 *(0.40)^{4-4}[/tex]

[tex]P(x=4) = 1 * (0.60)^4 *(0.40)^0[/tex]

[tex]P(x=4) = 0.1296[/tex]

So, the probability distribution is:

[tex]\begin{array}{cccccc}x & {0} & {1} & {2} & {3} & {4} \ \\ P(x) & {0.0256} & {0.1536} & {0.3456} & {0.3456} & {0.1296} \ \end{array}[/tex]

Please answer this, I need help

Answers

Answer:

For this exercise, we need to add to the $200 the cost of the hours the DJ has been working

If each hour costs 12.50 $ and he worked 8.5 hours, we can just multiply to see the price of their work:  12.5 * 8.5 = $106.25

Now, we can do the sum: 200 + 106.25 = $306.25

help pls i’m very confused

Answers

Hello,

A=(1,2) ==> A'=(1,2)+(1,1)=(2,3)

B=(6,2) ==> B'=(6,2)+(1,1)=(7,3)

C=(4,4) ==> C'=(4,4)+(1,1)=(5,5)

D=(1,4) ==> D'=(1,4)+(1,1)=(2,5)

Which operation will solve the following word problem? Jeff earns $14.00 per hour, Tom earns half as much as Jeff. How much does Tom earn per hour?


Multiplication


Subtraction


Addition


Division

Answers

Answer:

The correct option is (d).

Step-by-step explanation:

Given that,

Jeff earns $14.00 per hour.

Tom earns half as much as Jeff.

We need to find the amount earn by Tom per hour.

Tom's amount = Jeff's amount/2

So,

[tex]T=\dfrac{14}{2}\\\\T=\$7[/tex]

So, Tom earn $7 per hour. Hence, division operation is used. Jeff's amount is divided by 2.

Which of the following quadratic regression equations best fits the data
shown below?
Х
-4
-3
-2
-1
0
1
N
3
4
y
35
20
10
5
00
10
15
30
48
O A. y = 0.98x2 +3.06x+ 6.02
O B. y = 2.23x2 + 1.62x+ 5.26
O c. y = 3.72x2 + 2.94x + 3.21
O D. y = 4.63x2 + 0.84x+ 4.14

Answers

Answer:

C

Step-by-step explanation:

The method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.

What is graph?

A graph is a intersection of {x} and {y} axis. On the graph, the coordinate points can be plotted in the form (x, y). In this, {x} represents the horizontal distance along the {x} axis and {y} is the vertical distance along the {y} axis.

Given is to identify the methods that are not used on graphs to lead the reader to misinterpret the graph.

The method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.

Therefore, the method that is not used on graphs to lead the reader to misinterpret the graph is - Comparing two sets of related data on the same graph for the sake of comparison.

To solve more questions on graphs, visit the link below-

https://brainly.com/question/17267403

#SPJ7

Which of the following terms best describes each of the two points marked with dots in the ellipse below?

Answers

Answer:

Focus.

Step-by-step explanation:

.

Answer:

The correct answer is D. Focus.

Step-by-step explanation:

Identify the equivalent expressions of 4(2x + x – 3) – 3x + 3.

Answers

Answer:

9x - 9

Step-by-step explanation:

4(2x + x - 3) - 3x + 3

Simplify the expression, combine like terms in the parenthesis,

4(3x - 3) - 3x + 3

Distribute, multiply every term inside the parenthesis by the number outside of it;

(4)(3x) + (4)(-3) - 3x + 3

Simplify,

12x - 12 - 3x + 3

Combine like terms,

12x - 12 - 3x + 3

9x - 12 + 3

9x - 9

solve for x. Round to the nearest tenth, if necessary.​

Answers

Answer:

25.1

Step-by-step explanation:

Sin=opposite/hypotenuse

Sinx=4.2/9.9

x=arcsin(4.2/9.9)

x=25.1 degrees rounded from 25.102

What is the slope of a line that runs parallel to y= x + 14

Answers

Answer:

m=1

Step-by-step explanation:

y= x + 14

This equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope for the line is 1

Parallel lines have the same slope

m=1

What is the value of x in the equation 0.7x – 1.4 = –3.5?

1. -7
2. -3
3. 7
4. 3

Answers

Answer:

the answer is -3

Step-by-step explanation:

0.7x - 1.4 = -3.5

add 1.4 to both sides of the equation

you're left with 0.7x = -2.1

then divide both sides by 0.7

you're left with your answer of -3

BD=16 and AC is the perpendicular bisector of BD

Answers

Answer:

AC =

Step-by-step explanation:

AC = 16/2

= 8

THAT IS THE SOLUTION ABOVE

Please help due incredibly soon!!!!

Answers

Answer:

The surface area is 116.

Step-by-step explanation:

What is the answer to this question

Answers

Answer:

B - Congruent : SAS

Step-by-step explanation:

We are given that there are two sides that are congruent and one angle is congruent and it is in the order Side Angle Side.

Factor using the perfect squares method:

x^2 - 3x + 16

Answers

Answer:

what are the answer choice?

Step-by-step explanation:

Dan invests £13000 into his bank account. He receives 2.3% per year simple interest. How much will Dan have after 4 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

=14237.90

Step-by-step explanation:

13000*1.023^4=14237.89832

=14237.90

Será - 12 esta noche. El meteorólogo predice que mañana al mediodía hará 25 ° más de temperatura. ¿Cuál será la temperatura mañana al mediodía?

Answers

Respuesta:

13 °

Explicación paso a paso:

La temperatura de esta noche = - 12

La temperatura prevista para mañana = 25 ° más cálida que la temperatura de esta noche

La temperatura prevista para mañana será;

La temperatura de esta noche + 25 °

Temperatura prevista para mañana = (-12 ° + 25 °)

Temperatura prevista para mañana = 13 °

The number of terms in polynomial 2x²+3y+5x²+2y are:
A.2. C.4
B.3. D.5

Can somebody explain with the answer...​

Answers

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

Given polynomial ⟹ 2x²+3y+5x²+2y

Terms are the values that come after each mathematical sign, like after ➺ +, -, ×, ÷

So,

Terms ⟹ 2x² , 3y , 5x² , 2y

No. of terms ⟹ 4 (option C)

Calculate the sum of the integers from 52 to 108

Answers

Answer:3136

Step-by-s

tep explanation:

Answer:

4506

Step-by-step explanation:

you have do like this 56+57+58+59+60+.....+108 look you will 4506 as answer

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