what is an equation of the line that is perpendicular to y + 1 = -3(x-5) and passes through the point (4, 6)

Answers

Answer 1

Answer:

y - 4 = 1/3(x-6)

Step-by-step explanation:

y-y₁=m(x-x₁)                 point slope formula

Substitute in the 4 and 6 for the [tex]x_{1}[/tex] and [tex]y_{1}[/tex]

Take the original slope of - 3 and change its sign and turn it into it's reciprocal

1/3


Related Questions

How to solve and what is the answer for this question

Answers

Answer:

O DC = 65 and DE = 33.5

Step-by-step explanation:

DC is already given by AB

so DC is 65

DE would be BD split

DE is 33.5

Answer: O DC = 65 and DE = 33.5

Patterson Planning Corp.,

You have been hired by Patterson Planning Corp., an events planning company that recently had a fire in which some of the accounting records were damaged.

In reviewing the fixed asset records, you find three depreciation schedules that are not labeled. They are listed in the following table. One of the assets has a depreciation rate of $4.30 per hour.

Answers

Answer:

Total depreciation now will be $51500 and the depreciation for you will be $5575

Step-by-step explanation:

Your welcome! :)

You invest $3,200 in an account that
pays an interest rate of 7.25%,
compounded continuously.
Calculate the balance of your account after 12 years. Round you left answer to the nearest hundredth.

Answers

Answer: im not 100% sure this is correct but i think it is

A= $7638.11

Step-by-step explanation:

A= Pe^rt ,

let r= is rate,

let t= is time in years

A=3200*e^(.0725*12)

=3200*e6^0.87

which gives you

A= $7638.11

 

NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.

Simplify: [3(2a)^3/2]^2

A: 34^4√2a^9

B: 72a^3

C: 216a^3

D: 24a^3​

Answers

Answer: Choice B)   72a^3

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

Explanation:

We have something of the form [M*N]^2 where M = 3 and N = (2a)^(3/2)

Squaring the M leads to M^2 = 3^2 = 9

Squaring the N leads to N^2 = (2a)^3 = 8a^3

Notice how the fractional exponent goes away. The denominator '2' cancels with the '2' from the squaring operation

In other words, the rule is [tex]\left(x^{1/2}\right)^2 = x[/tex] where x is nonnegative.

A more general form of the rule is [tex]\left(x^{p/2}\right)^2 = x^p[/tex]

-------------

After squaring M and N, we then get to

[MN]^2 = M^2*N^2 =  9*8a^3 = 72a^3

So that shows why choice B is the answer.

What is the value of x? Also show work pls

Answers

Answer:

x = 34

Step-by-step explanation:

The angles are corresponding angles and corresponding angles are equal if the lines parallel

2x+3 = 71

Subtract 3 from each side

2x+3-3 = 71-3

2x = 68

Divide by 2

2x/2 = 68/2

x = 34

Which shows a graph of a linear equation in standard form Ax + By = C, where A = 0, B is positive, and C is negative? A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4). A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4). A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4). A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).

Answers

Answer:

A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).

Step-by-step explanation:

Ax + By = C, where A = 0, B is positive, and C is negative

By= C or y= C/B which is negative

Since A is zero and C is negative, the line is parallel to x- axis and has negative value for y, so it is a horizontal line below zero

---------------

A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4).

no, the line is horizontal

A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4).

no, the line is horizontal

A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4).

no, the y-values should be negative

A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).

yes, this is horizontal line below zero

Answer:

D

Step-by-step explanation:

Solve the system of equations.
y=8x-6
y=5x+9​

Answers

Answer:

x= 5 , y = 34

Step-by-step explanation:

8x-6=5x+9

3x-6=9

3x=15

x=5

-

8(x5) - 6 =

34

25(x5) +9 =

34

Answer:

x = 5 and y = 34

Step-by-step explanation:

I used substitution method and did this ;

8x - 6 = 5x + 9 .....put like terms together

8x - 5x = 9 + 6

3x = 15

x = 5

y = 8 (5) - 6

y = 40 - 6

y = 34

Analyze the diagram below and complete the instructions that follow.
Find a, b, and c.

Answers

Answer:

Step-by-step explanation:

for side a

take 60 degree as reference angle

using tan rule

tan 60 =opposite /adjacent

[tex]\sqrt{3}[/tex] = a/6

do cross multiplication

6*[tex]\sqrt{3}[/tex] =a*1

[tex]6\sqrt{3} = a[/tex]

for b

using pythagoras theorem

a^2 + b^2 =c^2 (here a nd b are the legs of a right triangle and c is hypotenuse)

6^2 + [tex](6\sqrt{3})^2 = b^2[/tex]

36 + 6*6*3 = b^2

36 + 108 = b^2

144 = b^2

[tex]\sqrt{144}[/tex] = b

14 = b

for angle c

take 45 degree as reference angle

using cos rule

cos 45 = adjacent/hypotenuse

[tex]\frac{1}{\sqrt{2} } = \frac{c}{12}[/tex]

do cross multoplication

[tex]c*\sqrt{2} = 12*1[/tex]

[tex]c = \frac{12}{\sqrt{2} } \\\\c = 6\sqrt{2[/tex]


how to find coefficient of x²in 2+x²+c

Answers

Answer:

1 is cofficient of X ²

I hope it's helpful for u ...

The pentagon shown could be reflected over which line to be carried onto itself?

Answers

Answer:

on the x axis because it is reflected there

Write image as a complex number. Question 6 options: A) 3 + i B) 3 – i C) –3 + i D) –3 – i

Answers

Answer:

that's right B) 3 - √3i

Step-by-step explanation:

(12 - √-48) / 4 =

12/4 - √-48 /4

= 3 - √(-48/16)

= 3 - √-3

= 3 - √ 3i

[tex]\\ \rm\Rrightarrow \dfrac{12-\sqrt{-48}}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{12}{4}-\dfrac{\sqrt{48}i}{4}[/tex]

[tex]\\ \rm\Rrightarrow 3-4\sqrt{3}i/4[/tex]

[tex]\\ \rm\Rrightarrow 3-\sqrt{3}i[/tex]

Amber is solving the inequality X+61- 12 < 13 by graphing. Which equations should Amber graph?
O Y1 = +6 Y2 - 25
O y1= x+6y2 = 25
O Y1 = X+61.72 = 13
O Y1 = X+6.82 = 13

Answers

Therefore, Amber should graph the equation Y1 = X+61.

What is inequality?

An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), or ≠ (not equal to). Inequalities are used to describe a range of possible values for a variable, rather than a single value. Inequalities can be solved by performing operations on both sides of the inequality symbol, just like equations. However, there are some important differences between solving equations and solving inequalities. For example, if we multiply or divide both sides of an inequality by a negative number, we need to reverse the direction of the inequality symbol.

Here,

To graph the inequality X+61- 12 < 13, we need to rearrange it to the form Y < MX + B, where Y is on the left-hand side and X is on the right-hand side. This gives:

Y < -X + 64

Now we can graph the line Y = -X + 64 and shade the region below it, since we want Y to be less than this expression.

Out of the equations given, Y1 = X+61 is the closest to the inequality we are trying to graph. However, the coefficients of X and Y are reversed, so we need to rearrange it to the desired form:

Y - X < 61

Y < X + 61

To know more about inequality,

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The linear function g is defined by g(x) = 4x.

a. Determine g(3).


b. Determine g(2).


c. Determine g(3) - g(2)

Answers

Answer:

the answer is D.

Step-by-step explanation:

well, the y-intercept for f(x) is at  

as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.

for g(x), well an y-intercept is when x = 0, what is it from that table?  well, is at 0,3, so when x = 0, y = 3, so no dice on that one.

c)

whenever an x-intercept occurs, y = 0, for f(x) that's at  

what about the x-intercept for g(x)?  well, let's check, when is y = 0?  aha!  at -9, 0, so when y = 0, x = -9, so no dice on that one either.

d)

well, what is the slope of g(x) anyway?  well, let's pick two points off the table to get it hmmm the first two let's use,

and from a), using the slope-intercept form, we know f(x) has a slope of 2/3.

well, 2/3 is larger than 1/3, so no dice.

b)

well, you already know.

Correct answer to your question is letter D

Please help, im stuck. ​

Answers

Answer:

4x^2 + 12x + 9

Step-by-step explanation:

(2x + 3)^2

it is in the form of (a + b)^2

(a + b)^2 = a^2 + 2*a*b + b^2

(2x + 3)^2

(2x)^2 + 2*2x*3 + (3)^2

4x^2 + 12x + 9

What is Sin x = 23/45

Answers

Answer:

0.00892045

Step-by-step explanation:

i put your question in a sine calc and thats what it said

Type the correct answer in each box.

Find the solution for this system of equations.
2x + 4y = 8
x = 3y − 6

Answers

Answer X=0
AnswerY=2

Answer:

X=0

Y=2

Step-by-step explanation:

Just finished and i got it right

How to solve and answer to the question

Answers

Answer:

7

Step-by-step explanation:

AB//CD (Opposite sides of parallelogram are parallel)

Angle A + Angle B = 180 (Sum of interior angles=180)

138 + 7x - 7 = 180

7x - 7 = 180 - 138

7x = 42 + 7

7x = 49

x = 49/7

x = 7

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%.
What is the growth factor?

Answers

Answer:

$750 for 4 percent annually

Step-by-step explanation:

3000/4 =750 But it also depends on if you want that 4 percent to grow.

Multiply x^2+2x+3 times 4x^2-2x+1

Answers

Answer:

4x^4 + 6x^3 + 9x^2 − 4x + 3

Step-by-step explanation:

Simplify the expression. 4x^4 + 6x^3 + 9x^2 − 4x + 3

Step-by-step explanation:

Answer:

answer for this solution is 4x^4+6x^3+9x^2-4x+3

A container has 3 apple juice boxes, 4 grape juice boxes and 5 orange juice boxes. Alex picks one juice box, drinks it and then picks another juice box. What is the probability that Alex picks grape juice and then orange juice?

a. 5/33

b. 5/44

c. 5/36

d. 1/11

Answers

Answer:

a)  5/33

Step-by-step explanation:

P(G then O) = 4/12 x 5/11

this is 1/3 x 5/11 which equals 5/33

brainlest! to first one pls help mehh

Answers

Answer:

A

Step-by-step explanation:

Answer:

option a and b

Step-by-step explanation:

peanuts=1/4 cup    ratio=1:4

raisins=1/2 cup        ratio=1:2

chocolate chips=3/4 cup      ration=3:4

granola =1 cup            ration=1:1

a. ratio of cop of rasins to cup of peanuts=2:1 or 2/1

1/2 = 1/4=2/1

do cross multiplication

4*1=2*1=2/1

4/2=2/

2/1=2/1

2:1=2:1  this is satisfied

b.ratio of cup of granola to cup of peanuts=1:4 or 1/4

1/1=1/4

do crss multiplication

1*1/4*1=1/4

1/4=1/4

1:4=1:4      this is satisfied as both are equal

c.the ratio of cup of chocolate chips to cup of raisins=3:1 or 3/1

3/4=1/2

do cross multiplication

3*2=4*1=3/1

6/4=3/1

6:4=3:1   this is not satisfied as they are different.

d.the ratio of cup of raisins to cup of granola=1:3 or 1/3

1/2=1/1

do cross multiplication

1*1=2*1=1/3

1/2=1/3

1:2=1:3    this is not satisfied as they are different.

e. the ratio of cup of granola to cup of chocolate chips =4:3 or 4/3

1/1=3/4

do cross multiplication

3*1=4*1=4/3

3/4=4/3

3:4=4:3    this is not satisfied as they are not equal

therefore ur answer is option a and b.

While watching the Kentucky Derby horse races, you decide to guess who will win 1st, 2nd, and 3rd place. There are 17 horses in the race. What is the probability you choose all three places correctly

Answers

Answer:

1/17

Step-by-step explanation:

I he had even got 1 out of the 3 places the probability would be 3/17

But as he is guessing all three places it becomes 1/17

The probability of getting the 1st,2nd, and 3rd position will be 1/17.

What is the probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that while watching the Kentucky Derby horse races, you decide to guess who will win 1st, 2nd, and 3rd place. There are 17 horses in the race.

The probability is calculated by the formula,

Probability = Number of favorable outcomes / Number of sample

Number of favorable outcomes = 1

Number of samples = 17

Probability = Number of favorable outcomes / Number of sample

Probability = 1/17

Therefore, the probability of getting the 1st,2nd, and 3rd position will be 1/17.

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15.
.
X
Income Earned
Which statement below accurately represents the graph?
Click on the picture to enlarge
Dollars Earned
900
BOO
700
600
500
400
300
200
100
0 1 2 3 4 5 6 7 8 9
Hours Worked
a) $100 is earned for each hour worked
b) $200 earned for every 2 hours workedis
the unit rate
+
c) $500 is earned for every 8 hours worked 0 d) $300 is earned after working 4 hours

Answers

Answer:

C.

Step-by-step explanation:

❌Option A is incorrect

Rationale: from the graph, 1 hr on the x-axis doesn't correspond to $100 on the y-axis

❌Option B is incorrect

Rationale: from the graph, 2 hrs on the x-axis doesn't correspond to $200 on the y-axis. It can't also be the unit rate because unit rate would be the amount of dollars per 1 hr.

✅Option C is CORRECT

Rationale: from the graph, 8 hrs on the x-axis corresponds to $500 on the y-axis

❌Option D is incorrect

Rationale: from the graph, 4 hr on the x-axis doesn't correspond to $300 on the y-axis

Joelle would like to tip her hairdresser 20%. If her haircut costs $38.00, which expression should she use to find the tip amount?

Answers

20%=1/5 so the tip amount is 1/5*($38.00)=$7.60

6. Which of the following is equivalent to the expression shown?
(x - 5)(x + 5)
(A) x2 – 10x - 25
(C) x2 – 25
x2 - 10x + 25
(D) x2 + 25
(x–52) (x+5)
x²-524
X2-10
I’m stuck on this help anyone ? :(

Answers

Answer:

its x^2 -25

Step-by-step explanation:

simply we know,

a^2-b^2=(a-b)(a+b)

Plz help solve this thanks

Answers

Answer:

y= -3/2

Step-by-step explanation:

........................

PLEASE HELP!!!

WILL MARK BRAINLIEST!!!


If A=28, then the measure of arc BA is_____

Answers

Answer:

124

Step-by-step explanation:

Have a nice day :)

Arc AC is 180º, arc BC is 56º:

[tex]180+56 +\arc{BA} = 360\implies BA = 124[/tex]

What is the MEDIAN or Q2 of the data set: 24. 25. 29. 30. 31. 31. 32. 34. 34 ?​

Answers

Answer:

n=9

Step-by-step explanation:

median =n +1/2

=9+1/2

=10/2

=5

5 th term is 31

The answer is 31 because first you have to put the numbers in order from least to greatest and they already are then you choose the number in the middle

Question is in pic..

Answers

Answer:

it's Graph B

Step-by-step explanation:

hope I help u brailest plsss

Answer:

I think its graph E

Step-by-step explanation:

hopefully

Help please need ASAP

Answers

Answer:

Step-by-step explanat

126

612

126

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