2) Write the equation of a line that passes through the point (-4,-5) and is perpendicular to a line that passes through the points (-6, 8) and (10,0).​

Answers

Answer 1

Answer:

y= - 1/4x

Step-by-step explanation:

Answer 2

The equation of the line passing through that point with the required slope is y=2x+3.

What is slope?

The slope of a line is the change in the y-coordinate relative to the change in the x-coordinate. The net change in the y-coordinate is indicated by Δy and the net change in the x-coordinate by Δx. Thus, the change in y-coordinate with respect to change in x-coordinate is given by: m = change in y/change in x = Δy/Δx Where "m" is the slope of the line.  The slope of a straight line can also be represented by the formula  tan θ = Δy/Δx  So, tan θ is the slope of a straight line. In general, the slope of a line indicates its steepness and direction.

Given:

The angle of slope of a line between two points (x1,y1) and (x2,y2) can be easily determined by finding the difference in the coordinates of the points. The slope is usually indicated by the letter "m".

The slope of a line passing through points (x1,y1)and(x2,y2) is given by

m=(y2−y1)/(x2−x1)

The slope ([tex]m^p)[/tex] of a line perpendicular to a line with slope ([tex]m^p)[/tex] is =−1/m because the product of the slopes of two perpendicular lines is -1, except in the pathological case where the lines are parallel to the x and y axis.

slope  m  of a line, and the coordinates of a known point  (x1,y1)  it is simple to plug them into the point-slope formula for a line to determine the equation for that line.

y=mx +b

y1=mx1+b

solve for  b

Going through those steps:

(x1,y1)=(-6, 8)

(x2,y2)=(10,0)

m=(0-8)(10-(-6))=-0.5

[tex]m^p[/tex]=−1/-0.5= 2

our known point is (−4,−5)

−5=2(−4)+b

-5 = -8+b

b = 3

Therefore, the equation of the line passing through that point with the required slope is y=2x+3.

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Related Questions

what is a counting system? what different types of counting systems are there? please help !

Answers

Answer:

A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. The same sequence of symbols may represent different numbers in different numeral systems.

Step-by-step explanation:

Different types:

Oksapmin, base-27 body part counting. Photo Courtesy of Austronesian Counting. ...

Tzotzil, base-20 body part counting. ...

Yoruba, base-20 with subtraction. ...

Traditional Welsh, base-20 with a pivot at 15. ...

Alamblak, numbers built from 1, 2, 5, and 20. ...

Ndom, base-6. ...

Huli, base-15. ...

Bukiyip, base-3 and base-4 together.

Answer:

"A numeral system (or system of numeration) is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner. The number the numeral represents is called its value." Found on google not my words!

Step-by-step explanation:

Some different types are:

Decimal number system (Base- 10)

Binary number system (Base- 2)

Octal number system (Base-8)

Hexadecimal number system (Base- 16)

Kelly gets a Sonic drink everyday. If she uses her app she gets the drinks for 1/2
off the price of the drinks. If the drinks are normally $1.88 which equation could
be used to find y (the cost) of x (number of drinks) she purchases if she uses her
app?

Answers

Answer:

6.58

Step-by-step explanation:

divide 1.88 by 2 to get .94 because he gets her drinks half off. Next, multiply by 7 because there are seven days in a week. she will spend 6.58 a week on drinks.

Answer:

1.88/2  0.94x7 for one week Kelly will pay $6.58 for a sonic drink

the answer is B

Step-by-step explanation:

1.88/2= 0.94

0.94x7=6.58

for one week Kelly will pay $6.58 for a sonic drink

hope this helps:) have a good day :)

I need a quick run down of point slope form

Answers

Answer:

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

Step-by-step explanation:

Answer:

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line.

Hope this helps you Stay happy and safe ✌️

EASY You make a salad to share with friends. Your sister eats 1/3 of it before your friends arrive. You want to divide the leftover salad evenly among six friends. Which expression describes the situation? *
A. 6 ÷ 2/3
B .2/3 ÷ 6

Answers

Answer:

b

Step-by-step explanation:

Answer:

I would have to say B, because 2/3 divided by 6 = 1/9. Plus, I think this would make sense considering we're dealing with a fraction problem. I hope this will help m8! ;)

Step-by-step explanation:

graph the following: y = -4x – 1.

Answers

This is a line portrayed in point-slope form.

First, put a point at (0, -1). This is your y-intercept.

Next, go down 4 units and to the right one unit. Place a point at (1, -4). Then go down another 4 units and right once more. Place a point at (2, -8).

Now, go back to your y-intercept and go up 4 units and to the left one unit. Place a point at (-1, 3).

Finally, draw a line connecting all your points.

Next time you need to graph something, look up a graphing calculator and then you can input your equation. I like using the desmos one. It is free.

PLS HALLP (20 POINTS)

Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k.
Graph of two lines. f of x passes through 3, 5 and 4, 10, and g of x passes through one half, 0 and 1, 10.

a, 4
b.one fourth
c. negative one fourth
d.−4

Answers

Answer:

The value of k is -2

Step-by-step explanation:

The cut point with the y axis for both graphs occurs when x = 0

We then have:

For f (x):

The cut point for the y axis is:

For g (x):

The cut point with the y axis is:

The value of k is given by the vertical displacement of graph k units.

We then have:

Let's clear k:

I know that this is not the answer you are looking for but maybe you can use the step-by-step explanation to figure it out

Answer:

wsg guys the answer is 4

Step-by-step explanation:

PICK ALL THAT ARE EQUIVALENT TO -5/19

Answers

Answer:

Step-by-step explanation:

The anwser is 2,3,4,5

Answer:

...

Step-by-step explanation:

hey your from my middle school! we are in the same class!

20 POINTS AND BRAINLYIST

y = -2x/3 + 490. 490=y-intercept. -2x=slope. translated to function notation

Answers

Answer:

f(x)= -2x+490

Step-by-step explanation:

f(x)=mx+b

where m=slope and b=y-intercept

Please make me Brainliest

What is the slope of a line that is parallel to y= 3x+5?
Answer here_________​

Answers

Answer:

3

Step-by-step explanation:

The slope of a line parallel to another should be the same, therefore the answer is 3. To ensure the lines do not overlap make sure the y-intercepts are different.

Estimate the sum 78.5+51.4

Answers

The answer to that question is 129.9. Hope this helps and if you could can you mark as brainliest? I’m trying to rank up and I just need 2 more!

Answer:

129.9

Step-by-step explanation:

78.5

+ 51.4

129.9

Hope this helps! (:

I WILL GIVE BRAINLIST IF YOU ANSWER ALLLLLLLLL

Activity
A pom pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If each pom pom has a total of 80 strands, how many strands of each color are needed to make a pair of pom-poms?
Part C How many strands of each color are required to make a pair of pom-poms? Use the values you found in part B for w, b, and r. Show your work


Part D You can solve the problem in Part C using a different method. To set up this method, first find the total number of strands required to make pair of pom-poms.


Part F Did you get the same answer in part C and E?

Answers

Answer: 28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms

Step-by-step explanation:

Given :A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r).

To Find : If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms?

Solution:

Total Strands = 80

White Strands = 35%

No. of white strands =

Blue Strands = 25%

No. of blue strands =

Red Strands = 40%

No. of Red strands =

Enter an equation to describe the linear relationship.


A bamboo reed is planted when it is 15 centimeters tall. It grows 3.2 centimeters per week. Let y represent the total growth and x for the number of weeks.
The equation is y =

Answers

Answer:

The equation is y = 3.2x + 15

Step-by-step explanation:

We know that the beginning height is 15 cm, so that will be our y-intercept, since we started with that. We also need the slope, which is the rate of change. The rate of change is 3.2 cm per week, so the slope is 3.2. This makes the equation y = 3.2x + 15. I hope this helps, and I hope it's not wrong, which I don't think it is.

What number should be subtracted from 3/7 to get 5/7

Answers

8/7 because you can just add the two numbers together and that’s ur answer

Mr. Swanson bought a package of 10 disposable razors for $6.30.He found that each razor lasted for 1 week. What was the cost per day?

Answers

Answer:

don't even know hope u get it tho

Factor the expression completely.
40x + 32

Answers

Answer:

8(5x+4)

Step-by-step explanation:

divide by the GCF 8

Answer:

8(5x + 4)

I hope this helps!

What do you need if you have to write the equation of a parabola?

Answers

This straight line outside the parabola is called the directrix. For parabolas that open either up or down, the standard form equation is (x - h)^2 = 4p(y - k). For parabolas that open sideways, the standard form equation is (y - k)^2 = 4p(x - h). The vertex or tip of our parabola is given by the point (h, k).

Given 5x - y = 16, solve for y

Answers

i don’t know if this is helpful but i tried , sorry

y = 5x -16 will be the Solution for y in terms of x for the given equation.

What is Linear function?

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.

Given a linear function 5x - y = 16

Solution for y in terms of x will be

5x - y = 16

=> 5x = 16 +y

=> y = 5x -16

Therefore, the Solution for y in terms of x for the given equation will be:

y = 5x -16.

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Please help me I’m from Texas so I am stupid

Answers

Answer:

Given h(x) = -x + 2, find h(4).

Step-by-step explanation:

Answer:

Graph A

Step-by-step explanation:

Because the inequality is

[tex] \leqslant or \geqslant [/tex]

it means the line will be solid, not dashed. Also, because the y variable is on the less than side of the equation, it means the shaded are will be under the line.

The freshman spirit club took a trip to the state fair .There were 59 students and 6 chaperones, and the total admission cost for the group was 508$.Student tickets cost 2$ more than the chaperone tickets.Write an equation to represent the cost of a student ticket

Answers

Answer:

Step-by-step explanation:

First you determine the variables x and y as:

x: the value for student tickets

y: the value for chaperone tickets.

Knowing that student tickets cost $ 2 more than companion tickets, it is represented by the equation:

x= y +2

On the other hand, there were 59 students and 6 companions. And the total cost of admission for the group was $ 508, that is to say that what all the students and the companions have paid adds up to $ 508. Expressed by an equation:

59x + 6y = 508

Then the system of equations to solve and thus obtain the price of a student ticket and the price of a companion ticket is:

[tex]\left \{ {{x=y+2} \atop {59x+6y=508}} \right.[/tex]

Solving for x, the price of a student ticket:

Rearranging  the first equation,

y = x - 2

Replacing in the second equation and solving for x:

59*x + 6*(x -2)=508

59*x + 6*x -12=508

65*x -12=508

65*x= 508 +12

65*x= 520

[tex]x=\frac{520}{65}[/tex]

x=8

The cost of a student ticket is 8$

Amber is 11 years younger than Adrianna. The sum of their ages is 17. How old are Amber and
Adrianna?
Amber is
years old and Adrianna is
years old.

Answers

x+11 + x = 17

2x = 6

x =3

Amber is 3 years old and Adriana is 14 years old.

how much is 2 dollars

Answers

Answer:

2 dollars is 200 cents

Step-by-step explanation:

dksjei

Which of the following is equal to 4 1/2 ÷ 2 2/3 ??? I need help answering this question.

Answers

Answer:

27/16 the same as 1 11/16

Step-by-step explanation:

First, make it an improper fraction:

9/2 ÷ 8/3

now flip the second number and multiply across:

9/2 × 3/8 = 27/16

You figured out that you could make $50 each time you cleaned a pool during the summer.
You did, however, need to purchase some equipment to get started. After cleaning 3 pools,
you were still down at total of 15 dollars. Write an equation in point-slope form that
represents that number of pools you clean, x, and the total amount you make in the summer,
V

Answers

a) y = 50x - 165   (After cleaning three pools, you were still down $15, this means the equipment costs 3*50 + 15 = $165)

b) The y-intercept -165 is the equipment cost

c) After cleaning 12 pools, y = 600 - 165 = 435. You have made $435.

You discovered that you could earn $50 for each summertime pool you cleaned. The equation is y = 50x + 16. The y-intercept is (0, 165). After 12 pools, y = 435.

What is point-slope equation ?

We have to create a point-slope equation to reflect the quantity of pools you clean, x, and your summertime earnings.

Given that,

You discovered that you could earn $50 for each summertime pool you cleaned

But in order to begin going, you had to buy some supplies. Even after cleaning three pools, you were still out of pocket by a total of $15.

The equation we can write as

y = 50x + 165

You were still down $15 after cleaning three pools, therefore the equipment costs 3×50 + 15 = $165.

The y-intercept we get as taking x as zero.

y = 50(0) + 165

y = 165

The y-intercept is (0,165).

After 12 pools,

We get,

y = 600 - 165 = 435.

Therefore, The equation is y = 50x + 16. The y-intercept is (0,165). After 12 pools, y = 435.

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What is the area of this figure?
2 cm
4 cm
6 cm
3 cm
2 cm
3 cm
1 cm
5 cm

Answers

Answer:

26.5

Step-by-step explanation:

3x3/2+8x2+3x2=26.5

The correct answer is 26.5

Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18. They set up the situation with the equation below, where x is the number of pairs of pants. Is there a situation in which they pay the same amount for their purchases? Which statements are true? Select all that apply.Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18. They set up the situation with the equation below, where x is the number of pairs of pants. Is there a situation in which they pay the same amount for their purchases? Which statements are true? Select all that apply.

Answers

Answer:

If both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.

Step-by-step explanation:

The information provided is as follows:

Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18.

The variable x is the number of pairs of pants.

The total cost function for Kelsey will be:

[tex]TC_{K}=17.95\cdot x+24[/tex]

The total cost function for Jeana will be:

[tex]TC_{J}=18.95\cdot x+18[/tex]

Consider that both pay the same total cost for their purchases.

Compute the value of x as follows:

            [tex]TC_{K}=TC_{J}[/tex]

[tex]17.95\cdot x+24=18.95\cdot x+18\\\\18.95\cdot x-17.95\cdot x=24-18\\\\x=6[/tex]

Thus, if both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.

Select True or False for each statement.

A.16.302 rounded to the nearest whole number is 16 feet per second.
Select True or False for each statement.

16.302 rounded to the nearest whole number is 16 feet per second.
16.302 rounded to the nearest tenth is 16.3.
16.302 rounded to the nearest hundredth is 16.31.
16.302 rounded to the nearest tenth is 16.3.
C.16.302 rounded to the nearest hundredth is 16.31.

Answers

Answer:

True

True

False

A rectangle has a length of 64 cm. The rectangle is reduced by a scale factor of 3/4. What is the length of the reduced rectangle?

Answers

Answer:

48 cm

Step-by-step explanation:

64 divided by 4 is 16. multiply 16 by 3 and the answer is 48.

how many inches are in a 20 foot rope

Answers

Answer:240 inches

Step-by-step explanation:

Answer:

240 in.

Step-by-step explanation:

1 foot is equal to 12 inches. Being that there are 20 feet you would multiply 20 by 12 and get 240.

Kristy rides 6 miles on her bicycle in 40 minutes. Jax rides 4 miles on his bicycle in 30 minutes. Who is faster? Remember to support your answer with a mathematical statement!

Answers

Answer: Kristy

Step-by-step explanation: 6x=40 4x=30, 40/6 is 6.6 repeating which means she travels a mile in 6.6 minutes and 30/4 is 7.5. 6.6 repeating is lower than 7.5 which means it is faster.

Is this a function or no

Answers

Answer: Yes it is a function

Step-by-step explanation:

Answer:

YES

Step-by-step explanation:

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