Find the equation of a line perpendicular to y=2 that contains the point (−5,1).

Answers

Answer 1

Answer:

y = -1/2x - 5/2

Step-by-step explanation:

y = 2x – 1

Current slope is 2, perpendicular is opposite inverse which is -1/2.

y-intercept through point (-5, 0):

y = mx + b

0 = -1/2(-5) + b

0 = 5/2 + b

b = -5/2

Use the perpendicular slope and b above to form new equation of line:

y = mx + b

y = -1/2x - 5/2


Related Questions

Passes through (-4,6) and (2,7)

Answers

Answer:

13/6

Step-by-step explanation:

Answer: 1/6

Step-by-step explanation:

There is a slope formula for this.

(x1,y1)= (-4,6)

(x2,y2)= (2,7)

Plug it into the formula:

[tex]\frac{7-6}{2-(-4)}= \frac{1}{6}[/tex]

The slope is 1/6. It doesn't matter which set of coordinates you use for x1, y1.

please please help me​

Answers

It’s 60°, because a triangle has 180° and it’s an equilateral triangle therefore 60

Need answer please !!

Answers

Answer:

Step-by-step explanation:

Least common denominator is 10

there are 10/10 portions in the whole circle

1/2 = 5/10

2/5 = 4/10

10/10 - 5/10 - 4/10 = 1/10

There are 31 students in a class.
The only languages available for the class to study are French and Spanish.
17 students study French.
15 students study Spanish.
6 students study neither French nor Spanish.
Using a Venn diagram, or otherwise, work out how many students study only one
language.

Answers

Answer:

32

Step-by-step explanation:

32 students only study 1 language. I know this because 17+15=32

someone please help with this question for brainliest !!!!:)

Answers

Answer:

d)

Step-by-step explanation:

the polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by a linear polynomial x-r is equal to f(r). In particular, x-r is a divisor (that means a factor) of f(x), if and only if f(r)=0.

our r here is -1 to get x + 1.

f(-1) = 2×(-1)³ + 5×(-1)² - -1 - 6 = -2 + 5 + 1 - 6 = -2

the remainder is -2.

and since the remainder is <> 0, the binomial cannot be a factor.

Can someone help me please

Answers

Answer:

a.(x)=7

b.(x)=14

Step-by-step explanation:

plz mark me as brainliest

Answer:

For A x equals 7

For B x equals 14

Explanation:

Simply cross multiply

A. 21×2=42÷6=7

Or find the relationship

B. 150÷6=25

84÷6=14

Hope this helps, mark BRAINLIEST please...

Line with a slope of -1/4 and containing. (4,-3)

Answers

Answer:

y = -1/4x - 2

Step-by-step explanation:

y = -1/4x + b

-3 = -1/4(4) + b

-3 = -1 + b

-2 = b

Jeanette obtained 32% for her statistics test, which was out of a total of 300 marks. How much should she score in the computer science test that is out of 200 marks in total if she is to get a proportionally weighted average of 46%?

Answers

Using weighted average, it is found that she should score 67% on the computer science test.

The weighted average is given by each proportion multiplied by it's score.

In this problem, the proportions and scores are given by:

Proportion of 32% = 0.32 for a score of 300.Proportion of x for a score of 200.Proportion of 46% = 0.46 for a score of 300 + 200 = 500.

Then

[tex]0.32(300) + 200x = 0.46(500)[/tex]

[tex]200x = 0.46(500) - 0.32(300)[/tex]

[tex]200x = 134[/tex]

[tex]x = \frac{134}{200}[/tex]

[tex]x = 0.67[/tex]

She should score 67% on the computer science test.

A similar problem is given at https://brainly.com/question/24855677

Triangle ABC, with A = (-2,3) B = (-4,1) and C = (-3,5), is rotated 90- clockwise about the origin to make Triangle A'B'C'. What are the y-coordinates of B'?

Answers

Answer:

Step-by-step explanation:

-1

Verify that the function [tex]g(x)=2x^3-3x+1[/tex] satisfies the three hypotheses of Rolle’s Theorem on the interval [tex][0,2][/tex].

Answers

Lets check if the three conditions hold.

1 : Continuity of g on the interval [0,2]

First, g(x) is a continuous function on R, as the sum of a cubic function wich is continuous on R, and a linear polynomial of the form ax + b which is also continuous on R. Finally g is also continuous on the interval [0,2]

2 : Differentiable on the same interval

Since the cubic function and the linear polynomial one are differentiable on R, g also is differentiable and particularly on the interval [0,2]

Also we have g'(x) = 2*3*x² - 3 = 6x² - 3

3 : Do we have g(0) = g(2) ?

Lets compute g(0) = 2*0^3 - 3*0 + 1 = 1

And g(2) = 2*2^3 - 3*2 + 1 = 2 * 8 - 6 + 1 = 16 - 6 + 1 = 11

Since g(0) ≠ g(2), Rolle's theorem is not applicable. Thus unfortunately, we can not conclude that there exist c ∈ (0,2) such that f'(c) = 0

What is the value of y?
Y
Y
60
O A. 120°
B. 60°
C. 40°
O D. 30°

Answers

Answer:

B. 60°

Step-by-step explanation:

1. The measure of all angles in a triangle sum up to 180°. This means that y + y + 60 = 120.

2. (Solving)

Step 1: Simplify both sides of the equation.

[tex](y+y)+(60)=180[/tex] [tex]2y + 60 = 180[/tex]

Step 2: Subtract 60 from both sides.

[tex]2y + 60 - 60 = 180 - 60[/tex] [tex]2y = 120[/tex]

Step 3: Divide both sides by 2.

[tex]\frac{2y}{2}=\frac{120}{2}[/tex] [tex]y = 60[/tex]

Step 4: Check if solution is correct.

[tex](60)+(60)+60 = 180[/tex] [tex]120 + 60 = 180[/tex] [tex]180 = 180[/tex]

Therefore, the answer is B. 60°.

I need help answering this question can anyone help me out I am very confused.

Answers

Answer:

-4

Step-by-step explanation:

If you solve the inequality, you'll get

5x - 5 > - 20

5x > -15

x < -3

So you know that x values can be from -∞ to -3

So in the interval of [-4,3] the only value less than -3 is -4 so that's the answer.

Hope this helps! :)

Stanley runs, swims, and bikes every day. During these workouts, he runs at 9 mph, bikes at 16 mph, and swims at 2.5 mph. Yesterday, he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
Chapter Reference
e
What distance did Stanley cover while biking?

Answers

The time spent for each activity can be found writing an equation based on

the known parameters.

The duration of the time Stanley spent running is 1.5 hoursThe duration of the time Stanley spent swimming is 1 hourThe duration of the time Stanley spent Biking is 3 hours

The distance Stanley cover while biking is 48 miles

Reasons:

The running speed = 9 mph

The biking speed = 16 mph

Swimming speed = 2.5 mph

The time spent running = 0.5 hour + Time spent swimming

Biking time = 2 × Running time

The total distance covered = 64 miles

Required:

Time spent running, swimming, and biking

Solution:

Let t represent the time Stanley spent swimming, we have;

(t + 0.5)·9 + 2.5·t + 2×(t + 0.5)×16 = 64

43.5·t + 20.5 = 64

43.5·t  = 64 - 20.5 = 43.5

[tex]t = \dfrac{43.5}{43.5} = 1[/tex]

The time Stanley spent swimming, t = 1 hour

The time Stanley spent running = 0.5 + t

Therefore;

The time spent running = 0.5 hour + 1 hour = 1.5 hour

Time spent running = 1.5 hours

Time spent biking = 2 × Running time

Therefore;

Time spent biking = 2 × 1.5 hours = 3 hours

The distance Stanley cover while biking, d = 3 × 16 mph = 48 miles

Learn more here:

https://brainly.com/question/23206880

6. Find the missing lengths of the sides.

Answers

Answer: D

30 60 90 trinagle rules

a=8

b=a sqaure root of 3 or 8square root of 3

c=2a or 2*8 or c=16

Step-by-step explanation:

Step-by-step explanation:

sin30°=8/c

1/2=8/c

8×2=c

16=c

tan30°=8/b

[tex] \frac{1}{ \sqrt{3} } = \frac{8}{b} \\ 8 \sqrt{3} = b[/tex]

option. d

1 point
3. Trout is sold at Kroger in four different quantities, each with different
prices. What is the best price per pound (lb.)? *
$1.85 for 14 lb.
$2.95 for 16 lb.
$3.05 for 22 lb.
$2.50 for 24 lb.

Answers

Answer:

$2.50 for 24 lb

Step-by-step explanation:

only 10 cents ish per pound

3/4 x 5/8 in simplest form

Answers

The answer with be 15/32 and decimal form 0.46875

In 1993, the moose population in a park was measured to be 4350. By 1999, the population was measured again to be 4890. If the population continues to change linearly: Find a formula for the moose population, P , in terms of t , the years since 1990.

Answers

Answer:

P = 90t

t = 31 years

Step-by-step explanation:

Find the slope of a line that passes through points (-1,-5) and (6,9).

Answers

Answer:

[tex]{ \rm{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ \\ { \rm{slope = \frac{9 - ( - 5)}{6 - ( - 1)} }} \\ \\ { \rm{slope = \frac{14}{7} }} \\ \\ { \boxed{ \rm{ \: \: slope = 2 \: \: }}}[/tex]

Express as a trinomial.
(x-5)(3x-6)
(x−5)(3x−6)

Answers

The polynomial expressed as trinomial is 3x² - 21x + 30

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Polynomials can be classified based on the number of terms as binomial, trinomial.

Trinomial is a polynomial with 3 terms.

Given the polynomial:

(x - 5)(3x - 6)

= 3x² - 15x - 6x + 30

= 3x² - 21x + 30

The polynomial expressed as trinomial is 3x² - 21x + 30

Find out more on polynomial at: https://brainly.com/question/497625

trong dân số một bà 70 tuổi có khả băng SLE là 2% .Nếu ANA dương tính thì khả năng bị bệnh SLE là bao nhiêu

Answers

Answer:

từ khoảng 70 đến 90 phần trăm

7. In a quiz bee, Marlon scored 132 points during the first round. This score was thrice as much as his score during the second round. What score did he get in two rounds?​

Answers

Answer:

II + III = 176

II = 44

III = 132

Step-by-step explanation:

Third round: 132

Second round: 3x=132

x=44 (second round)

2rounds: 132+44=176

troy is going to spain and needs to convert his dollars to Euros. He knows that when he goes, $5.00 is equivalent to about 3.45 Euros.

29. Find the unit rate of Euros per dollar

30. how many Euros will he get for $125?

Answers

Step-by-step explanation:

answer for number 2 is 85 euros

.68 euros per usd

I need help, how do i solve the equations and get the degree for the circle

Answers

Answer:

D 130º

Step-by-step explanation:

3x-70=x+10

so 2x-70=10

x=40

The answer is 130
3x-70=x+10
3x=x+80
2x=80
X=40

en la feria del condado, la calabaza con la cinta roja pesaba 108 libras menos que la calabaza con la cinta azul. cuanto pesaba la calabaza con la cinta azul?

Answers

Answer:

sorry i dont know

Step-by-step explanation:

Evaluate.
-8+ (6 + 4) = (-2)
0 – -13
-
-
o - 4
0 -3
-
o - 1

Answers

-13 is the write awnser

Answer:

-13

Step-by-step explanation:

Step 1: Evaluate the terms in parenthesis

6+4=10

The expression becomes -8 + 10 ÷ (-2)

Step 2: Division

10 ÷ (-2) = -5

The expression becomes -8 + (-5)

Step 3: Subtraction

-8 - 5 = -13

find the next two terms of this sequence.please help.

Answers

Answer:

12, 3

Step-by-step explanation:

i think so but you could wait for another answer but im not sure of my own

Answer: 28 and 20

Step-by-step explanation:

52 - 44 = 8

44 - 36 = 8

36 - [tex]x_{1}[/tex] = 8

[tex]x_{1}[/tex] = 28

28 - [tex]x_{2}[/tex] = 8

[tex]x_{2}[/tex] = 20

please give me a brainliest answer

six cocker spaniels have a total weight of 192 pounds. Five golden retreivers have a average weight of 71 pounds. what is the average weight of all 11 dogs.

Answers

Answer:

23.9lbs or 24lbs

Step-by-step explanation:

This may not be correct so don't bet your first born on it

_-9-2=4

What is the missing number please

Answers

Answer:

28

Step-by-step explanation:

look it up lol

simplify the expression -2x(x+3) A: -x -6 B: -x + 6 C: -2x + 6 D: -2x - 6​

Answers

Answer:

D

Step-by-step explanation:

-2x(x+3)

-2x-6

Evaluate 8r-rs when r=6 and s=5 ?

Answers

18 is the answer to the question
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