What is the equation of the line that is perpendicular to -2/5x-7 and passes through (4,-1)?

Answers

Answer 1

Step-by-step explanation:

maybe this is not the full expression, as you wrote the line equation in a funny way.

I understand the following :

the line is

y = (-2/5)×x - 7

perpendicular means crossing at a right angle (90 degrees).

the slope of the original line is -2/5.

as in every line equation, the slope is the factor of x. and it expresses the ratio y/x indicating the amount of units y is changing, when x changes a certain amount of units (e.g. when going from one point on the line to another).

the perpendicular slope turns the original y/x ratio upside-down, and also flips the sign.

so, it is 5/2.

the equation for the perpendicular line looks like

y = (5/2)×x + b

now what is b ?

for this we use the specified point on the line : (4, -1)

and we put these values as x and y into the equation :

-1 = (5/2)×4 + b = 5×2 + b = 10 + b

b = -11

and so, the full equation of the perpendicular line is

y = (5/2)×x - 11


Related Questions

what is perfect cube​

Answers

Answer:

The perfect cube is the result of multiplying the same integer three times. Multiplying the number 4 three times, for example, yields 64. As a result, the number 64 is a perfect cube. Perfect cube = number x number x number.

Step-by-step explanation:

Perfect cube numbers can be obtained by multiplying every number thrice by itself. For example, 1 × 1 × 1 = 1 and 2 × 2 × 2 = 8 and so on. The list of perfect cubes from 1 to 10 is as follows: 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.

Can someone help me with this?!

Answers

Answer:

1) measure angle T= 72, measure angle U=54

2)measure angle M=76, measure angle N=76

3)EF= 18 inches, measure angle F=134

4)measure angle P,Q,R= 60

Step-by-step explanation:

I need help with my math, please?

Answers

Answer:

Step-by-step explanation:

Relationship B has a greater rate than Relationship A. This graph represents Relationship A.


Which equations could represent Relationship B?


Select each correct answer.



y = 0.6x


y=23x


y=14x


y=34x

First-quadrant graph showing a ray from the origin through the points begin ordered pair 4 comma 2 end ordered pair and begin ordered pair 8 comma 4 end ordered pair.

Answers

Answer:

y = 0.6x

Step-by-step explanation:

Look what happens as we move from point (4, 2) to point (8, 4).  The x coordinate increases by 4 and the y coordinate by 2.  Thus, the slope of the line representing Relationship A is m = rise / run = 2/4, or 0.5.

The only one of the four possible answers that could be correct is y = 0.6x, which has a greater rate (slope) than does the given line (m = 0.5).

Answer: 0.6

2/3

3/4

I took the test and got those as my answer. Btw here's the image for proof :)

WILL GIVE BRAINLIEST. a. determine a rule for the table B. complete the table. for input for 4 and n.

Answers

Answer:

WHAT TYPE OF MATH LIKE WHAT LESSON

Step-by-step explanation:

I’m completely confused on this, but I’ll take a guess

|-The output for 4 is 10
|-the output for the three dots is 13
|-the output for N is 16

If you look at the output for the previous numbers, 1, 4, and 7- you notice that 1+3=4 and 4+3=7, assuming this may be a rule, you can add 3 to 7 which gets you 10, continuing on 10+3=13 and 13+3=16. Next for the input try to see what the input and output have in common. 1 and 1, 2 and 4 and 3 and 7. 1+0=1 2+2=4 3+3=6(+1) =7 4+4=8 (+2)=10 (continue this for the three dots) 5+5=10 (+3)=13. Because of this the input for the three dots would be 5. For N, it would be 6+6=12(+4)=16, so the input for N would be 6.

(Once again I’m not completely sure how this works, and it may be a lot more complex than this (I’m so so so so so sorry if it’s wrong )

If the second quantity in a rate is not 1, how do you find the unit rate?

Answers

Answer:

If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.


A,B & C form a triangle where BAC = 90°
AB = 11.9 mm and CA = 2.7 mm.
Find the length of BC, giving your answer rounded to 1 DP

Answers

Answer:

12.2

Step-by-step explanation:

BC = √ABsq + √CAsq

BC = √11.9sq + √2.7sq

BC = √141.6 + √7.3

BC = √148.9

BC =  12.2

please help me .. thank you ​

Answers

Hello BinibiningDel!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

Fill in the blanks.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

The process of finding the factors of a polynomial is known as factoring.The factor that appears repeatedly in each term is known as the common factor.A trinomial is an algebraic expression with three terms.The constant term is definite in value.6mn - 9m = 3m (2n - 3). The greatest common factor is 3m.A polynomial doesn't have a fractional exponent.[tex]\boxed{\bold{\dfrac{y^{2} - 3y + 3}{5y}}}[/tex] is a polynomial.A rational algebraic expression comes in the form of p/q where p & q are polynomials.[tex]\boxed{\bold{\dfrac{y^{2} - 3y + 3}{5y}}}[/tex] is a rational algebraic expression.[tex]\boxed{\bold{\dfrac{3x}{x+4}}}[/tex] is the rational algebraic expression written in the simplest form.

__________________

Hope it'll help you!

ℓu¢αzz ッ

Find the area and perimeter of
the parallelogram:
17ft
12ft
15ft

Answers

Step-by-step explanation:

The area = base × height

= 12 × 17 = 204

the perimeter = 2(17 + 15) = 2 × 32 = 64

please give me a brainliest answer

Best answer gets brainliest!

Whats the question to my answer?

Answer: pickle

Whats the question?
(u can make up what the question is theres no real answer)

Answers

Answer:

If I give you a nickel, what am I wanting you to tickle? my ____

Step-by-step explanation:

Vickie was born on this day in 1981. Including leap years, how many seconds old is Vickie?

Answers

Answer:

Vickie is about 1,256,428,800 seconds old.

Step-by-step explanation:

1 year = about 31,536,000 seconds

2021 - 1981 = 40

39 × 31,536,000 = 1,229,904,000 (total 365-day years in seconds discluding this year)

____________________________________________

Now, add the leap days.

Since 1981, there has been 10 leap years, meaning 10 leap days.

1 leap day = about 86,400 seconds

86,400 × 10 = 864,000 (total leap day seconds)

____________________________________________

Today is 10/24/2021, so it is the 297th day of the year.

1 day = exactly 86,400 seconds

297 × 86,400 = 25,660,800 (total seconds this year)

____________________________________________

Add all values to get the total amount of seconds.

1,229,904,000 + 864,000 + 25,660,800 = 1,256,428,800 (total seconds of how old is Vickie)

Explain how you can use mental math to
calculate 2^8.

Answers

Answer:

think about what 2 times 8 equals

Step-by-step explanation:

I forgot how to do this. Please help!

Answers

Answer:

It's just a line with a slope of 0 at y= -5

Find f(x) if it is known that f(x-2)=2x-4

Answers

Answer:

f=2

Step-by-step explanation:

f(x-2)=2x-4

divide x-2 to 2x-4

f=2

f(2-2)=4-4

brian split 5/6 pounds of candy among 3 people what is the unit rate

Answers

Answer:

5/18

Step-by-step explanation:

Divide the total by number of people to find the unit rate:

5/6 : 3 = 5/18 pounds  per person

Answer:

[tex]\sf\longmapsto \frac{5}{18}pounds \:per\: person [/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: \frac{5}{6} : 3[/tex]

[tex]\sf\longmapsto \frac{5}{18} pounds \:per\: person [/tex]

Explain why the triangle are similar. Then find the distance represented by x

Answers

Answer:

I think its the rule RHS or SAS that indicates that x is 180ft (scale factor of 1.5)

Step-by-step explanation:

first do 135/90 to find the scale factor of 1.5

then to find x, multiply 120 by the scale factor.

An airplane travels 2248 miles in 4 hours.
At this rate, how far could the airplane fly in 13 hours?
O 6656 miles
O 6981 miles
0 7306 miles
O I don't know.

Answers

Answer: the answer is 7306 miles in 13 hours

Step-by-step explanation: I just divided 2248 by 4 which is 562 then multiplied it by 13 which made it 7306. I took the quiz and got 100% hope this helps!

In each triangle below, name the type of line segment that CD is.

Answers

there is no picture?

Solve the following quadratic equation.
d²-5d+6=0

Answers

Answer:

[tex]d=2[/tex] and [tex]d=3[/tex]

Step-by-step explanation:

[tex]d^2-5d+6=0[/tex]

[tex](d-2)(d-3)=0[/tex]

[tex]d=2[/tex] and [tex]d=3[/tex]

answers: d=2 and d=3

What is..Simplify 15.8

Answers

Answer:

simplify of 15.8 is 16

Step-by-step explanation:

please mark me as brainliest

Answer:

15 4/5

Step-by-step explanation:

which is the correct simplification:
giving brainliest

Answers

Answer:

The answer is letter E.........

Answer:

Step-by-step explanation:

corrine has 9.6 pounds of trail mix to divide into 12 bags. how many pounds of trail mix will go in each?

Answers

Answer:

0.8 pounds

Step-by-step explanation:

Divide 9.6 pounds by 12 bags = 0.8 pound per bag

Answer:

0.8 lbs per bag

Step-by-step explanation:

9.6 / 12 = 0.8

Answer: 0.8

Write an equivalent expression for 6(3g + 2) - 2g. Simplify the expression.

Answers

Answer:

16g + 12

Step-by-step explanation:

6(3g + 2) - 2g

18g + 12 - 2g

16g + 12

Jack’s recipe calls for One-half teaspoon of baking powder. He cannot find the One-half teaspoon measuring spoon. Instead, Jack uses the One-eighth teaspoon measuring spoon to add Three-eighths teaspoon of baking powder. Which statement is true? Jack should stop adding baking powder because One-eighth equals . Jack should add more baking powder because Three-eighths is less than One-half. Jack should add more baking powder because Five-eighths is less than One-half. Jack has added too much baking powder because is greater than .

Answers

Answer:

Jack should add more

Step-by-step explanation:

Because four eighth is half

And he only added 3/8

So when he adds 1/8 more the sum becomes 4/8

4/8=1/2

Factor the Trinomial 6x^2 -23x +20
(And please show the work/steps.)

Answers

Step-by-step explanation:

6x²-23x+20

=>6x²-8x-15x+20

=>2x(3x-4)-5(3x-4)

=>(3x-4)(2x-5)

hope this helps you.

Step-by-step explanation:

the answer is in the image above

Mike´s fitness center charges $30 per month for a membership. All-Day fitness club charges $22 per month plus an $80 initiation fee for a membership. After how many months will the total amount paid to the two fitness clubs be the same?

Answers

Answer:

10 months

Step-by-step explanation:

30x=22x+80

8x=80

x=10

how do you find common multiples and factors explain

Answers

Answer:

We can find the common multiples of two or more numbers by listing the multiples of each number and then finding their common multiples. For example, to find the common multiples of 3 and 4, we list their multiples and then find their common multiples. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, ...

Your bedroom is 20 feet long by 12 feet wide. You are make a scale drawing of you bedroom with the scale 1⁄2 inch = 4 feet, what would the dimensions be?

Answers

Divide actual feet by scaled feet then multiply by scale inches:

20 feet / 4 = 5

5 x 1/2 = 2 1/2

12 feet / 4 = 3

3 x 1/2 = 1 1/2

Dimensions are 2 1/2 inches by 1 1/2 inches

this is just so dum why do they make the app if nobody is going to help me and other some people have to post the same question 5 times even more if they have their people in need that need help and they come on brainly so they can get help even I do but yall dont care yall answer that yall want to answer thats not fair

Answers

What question do you need help with

HELP PLEASE solve for d

Answers

d= 1- 4bh

Step-by-step explanation:

- 8b = 2d - 2/h

Multiply both sides of the equation by h.

- 8bh = 2d - 2

Swap sides so that all variable terms are on the left-hand side.

2d - 2 = - 8bh

Add 2 to both sides.

2d = - 8bh + 2

The equation is in standard form.

2d = 2 - 8bh

Divide both sides by 2.

2d/2 = 2 - 8bh/2

Dividing by 2 undoes the multiplication by 2.

d = 2 - 8bh/2

Divide -8bh + 2 by 2.

Therefore: d = 1 - 4bh

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