Mathematics High School

Find an equation for the line that passes through the points (3, -4) and (-3, -1).

Answers

Answer 1

This is the correct answer

Find An Equation For The Line That Passes Through The Points (3, -4) And (-3, -1).

Answer 2

Answer:

That is my own idea and I hope it is very helpful

Related Questions

dentify ALL pairs of parallel and perpendicular lines in the image below.

Answers

Step 1: redraw the figure given

Step 2: State the relationship between the lines

It can be observed that

(i) line XY is perpendicular to line PS

[tex]\text{line XY}\perp line\text{ PS}[/tex]

(ii) line XY is perpendicular to line QT

[tex]\text{line XY}\perp lineQT[/tex]

(iii) line PS is parallel to line QT

[tex]\text{line PS}\parallel lineQT[/tex]

Hence, XY⊥PS, XY ⊥ QT, PS ║ QT, The Second option.

Why can't I see my answer?

Answers

I’m having the same issue

63 ÷ 5 = 12 R3 solve the problem

Answers

Answer:

12r^3

Step-by-step explanation:

If Susie's age is 8 less than 3 times her brother's age, and Susie is 13. How old is her brother?

Answers

Answer:

correct me if im wrong but my answer is x=7, or in other words, 7.

Step-by-step explanation:

Answer:

7 years old

Step-by-step explanation:

You would start by going backward. If 13 is 8 less, then you would first add 8. You would have 21. Now all you have to do is divide by three. So your answer would be 7. If you would want to check you could plug it back in. 7 multiplied by 3 is 21. 21 - 8=13

The Answer, 7 years old

This question has two parts. First, answer Part A. Then, answer Part B.
part A:

Answers

The length of the incline of the ramp will be [h] = 12.0415 ft

What is Pythagoras theorem?

According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the base and perpendicular. Mathematically, we can write -

h² = p² + b²

Given is the installation of wheelchair ramp such that the ramp should have a base of 12 ft and height of 1 ft long.

From the data given, we can consider the ramp construction as right angled triangle. We can write -

base [b] = 12 ft

height [p] = 1 ft

Using the Pythagoras theorem -

h² = (12 x 12) + (1 x 1)

h² = 144 + 1

h = √145

h = 12.0415

Therefore, the length of the incline of the ramp will be [h] = 12.0415 ft

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-4z^2 + 13z - 3 = 0 solve in quadratic form

Answers

Answer:

hii!!! z = 3, ¼

Step-by-step explanation:

Hope this helps xb

a road running north to south crosses a road going east to west at the point pp. cyclist aa is riding north along the first road, and cyclist bb is riding east along the second road. at a particular time, cyclist aa is 3939 hundred meters to the north of pp and traveling at 3232 meters per second, while cyclist bb is 5252 hundred meters to the east of pp and traveling at 2424 meters per second. how fast is the distance between the two cyclists changing? the distance between the two cyclists is increasing by 1925 meters per second.

Answers

The distance between the two cyclists changing exists 38.4 meters per second.

What is meant by differential equation?

A differential equation in mathematics exists an equation that links the derivatives of one or more unknown functions. Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the three.

A differential equation in mathematics is an equation that includes one or more functions and their derivatives. The rate of change of a function at a place is determined by the derivatives of the function. It is mostly employed in disciplines like physics, engineering, biology, and others.

There exists at least a couple of ways to work this. One exists to write the equation for the distance between the cyclists and differentiate it.

d² = (3900 + 32t)² + (5200 + 24t)²

simplifying the above equation, we get

(2d)d/dt = 2(3900 + 32t)(32) +2(5200 + 24t)(24)

At t = 0,

dd/dt = (32·3900 + 24·5200)/√(3900² + 5200²)

simplifying the above equation, we get

= (124800 + 124800)/√(15210000 + 27040000)

= 249600/6500 = 38.4 meters per second

Therefore, the distance between the two cyclists changing exists 38.4 meters per second.

The complete question is:

A road running north to south crosses a road going east to west at the point P. Cyclist A is riding north along the first road, and cyclist B is riding east along the second road. At a particular time, cyclist A is 39 hundred meters to the north of P and traveling at 32 meters per second, while cyclist B is 52 hundred meters to the east of P and traveling at 24 meters per second. How fast is the distance between the two cyclists changing?

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si cada 8.33 minutos me dan 10 dolares cuantos dolares tendria en 6 horas ademas cuantos dolares ganaria cada 30 minutos

Answers

The payment for each 6 h is equal to $ 432.2 while the payment for each 30 min would be $ 36.01.

Rule of Three

It's a math tool for solving problems about proportion. You can relate more than 2 variables and from the proportion, it's possible to find an unknown number.

Conversion Unit Time

In the International System Units (SI), the standard unit for time is the second (s). For solving any exercise, you need to know the relation between the units of the time. See below:

1h=60 min = 3600s

1 min = 60 s

Now you can solve the question from the rule of three for finding the payment in dollars.

The question gives: an each 8.33 min, the payment is 10 dollars. Thus, from this relation you can write:

For 6 h

First, you should convert 6h to minutes, then,

1 h ----- 60 min

6h ----- x

x=60*6=360 min

After that, you should apply the rule of three for finding the payment in dollars.

8.33 min ----- 10 dollars.

360 min ------- x

8.33x=360*10

8.33x=3600

x= $ 432.2

For 30min

You should apply the rule of three for finding the payment in dollars.

8.33 min ----- 10 dollars.

30 min ------- x

8.33x=30*10

8.33x=300

x= $ 36.01

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Jim sits on a seesaw. If Jim weighs 100 pounds, what mass in kilograms does the person on the other side need to be for the seesaw to be balanced?

Answers

The weight of the other person has to be the same in order for the seesaw to be balanced, then the person on the other side weighs 100 pounds as well. Now, we know that:

[tex]1\text{ lb=}0.45\text{ kg}[/tex]

Then to find the mass we just multiply the weight in pounds by 0.45:

[tex]100\cdot0.45=45[/tex]

Therefore the other person has a mass of 45 kg.

The weight of the other person has to be the same in order for the seesaw to be balanced, then the person on the other side weighs 100 pounds as well. Now, we know that:

[tex]1\text{ lb=}0.45\text{ kg}[/tex]

Then to find the mass we just multiply the weight in pounds by 0.45:

[tex]100\cdot0.45=45[/tex]

Therefore the other person has a mass of 45 kg.

As a speed skater Kyle cycles between sprinting and recovering on the 111. 12 m short track during practice every day for 50 minutes let T be the time and hours that Kyle sprints during the practice a right the unsimplified expression to represent the total distance Kyle skates it may help you to make a verbal model to represent the total distance Kyle skates be sure to use compatible units be interpret the parts of the expression C simplify the algebraic expression de if Kyle spent 40 minutes sprinting yesterday how far did he skate in all he sprinted for 48 KM/H and his recovery was 18 KM/H

Answers

Answer:If t= time sprinting then (50-t)= time recovering

Distance = rate x time= t(48) + (50-t)18

Step-by-step explanation:just yes

Subtract.

−3−6−(−1) = ?

Answers

Answer:

-8

Step-by-step explanation:

I think it’s negative 10/-10 maybe my calculation in wrong

X=
/////////////////////

Answers

Answer: [tex]x=15[/tex]

Step-by-step explanation:

By the consecutive interior angles theorem,

[tex]150+3x-15=180\\\\3x-15=30\\\\3x=45\\\\x=15[/tex]

Mike had 28 books. His brother Joseph decided to give one third of his books to Mike. After that, Joseph and Mike had the exact same number of books. How many books did they have altogether?

Answers

SOLUTION

Given the question in the question tab, the following are the solution step to get the number of books they have altogether.

Step 1: Write the notations for Joseph's and Mike's books

[tex]\begin{gathered} \text{let j represents the number of books Joseph has,} \\ \text{let m represents the number of books Mike has} \end{gathered}[/tex]

Step 2: Write the statements in a mathematical form

[tex]\begin{gathered} m=28---\text{statement 1} \\ \frac{1}{3}of\text{ j was given to Mike to have }m+\frac{j}{3}=28+\frac{j}{3} \\ \text{After that, }28+\frac{j}{3}=\frac{2j}{3} \end{gathered}[/tex]

Step 3: Solve to get the value of j by using substitution method

[tex]\begin{gathered} \\ m=28+\frac{j}{3} \\ 28+\frac{j}{3}=\frac{2j}{3} \\ \text{ multiply through by 3} \\ 84+j=2j \\ 84=2j-j \\ 84=j \\ j=84 \end{gathered}[/tex]

Therefore, Joseph had 84 books initially.

Step 4: Get the number of books they had altogether by summing the number of books for the each of them initially

[tex]\begin{gathered} m=28,j=84 \\ \text{Total}=28+84=112 \end{gathered}[/tex]

Hence, they both had 112 books altogether.

A heavy box is pulled across a wooden floor with a rope. The rope forms an angle of 60.0° with the floor. A tension of 80.0 N is maintained on the rope. What are the horizontal and vertical components of the force?

Answers

The vertical component of the force is 69.28 N and the horizontal component of the force is 40 N.

What is the resolution of the forces?

Resolution of forces is the process of separating a force into two or more pieces so that the combined effect on the body is the same as if it had been a single force. We can analyze motion individually in different directions thanks to the resolution of forces.

Given that a heavy box is pulled across a wooden floor with a rope. The rope forms an angle of 60.0° with the floor. A tension of 80.0 N is maintained on the rope.

The vertical component and the horizontal component will be calculated as:-

Vertical component = 80sin60=69.28 N

Horizontal component = 80cos60 = 40 N

Therefore, the vertical component of the force is 69.28 N and the horizontal component of the force is 40 N.

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You have discovered another alien.

What is the equation of the line that provides the correct path to rescue this alien?

Answers

Answer:

what is the equation of the line that provides the correct path to rescue this aline

Answer:

✔ y = 0x + 0

Step-by-step explanation:yes

this is NOT a test or Quiz its a homework pic is below

Answers

From the information given,

Jack wants to eat 2 1/5 of his plate in 1/3 hour. The first step is to convert 2 1/5 to improper fraction. It becomes 11/5

The statement would be

Jack wants to eat 11/5 of his plate in 1/3 hour.

Let x represent how much of his plate that he will eat in 1 hour. Therefore

11/5 = 1/3

x = 1

By cross multiplying, it becomes

x * 1/3 = 1 * 11/5

x/3 = 11/5

x = 11/5 * 3

x = 33/5

Converting to mixed fraction, it becomes

6 3/5

The correct option is the first one

What is the simple interest rate on an account that earned $56.25 in interest after two and one-half years on a principal balance of $300? please show work

Answers

The rate of interest on the given principal is 7.5%.

Given that, simple interest = $56.25, principal = $300 and time period = [tex]2\frac{1}{2}[/tex] years.

What is the simple interest?

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.

Now, 56.26 = (300 × R × 2.5)/100

⇒ 5625 = 750R

⇒ R = 7.5%

Therefore, the rate of interest on the given principal is 7.5%.

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Consider the following trapezoid.
Find the value of X.

(Helpful for math-space users)

Answer; y = 108

Explanation;
x + 72 = 180
X=180-72

Answers

The value that represents the variable x in the trapezoid is 108 degrees

How to determine the value of x?

From the question, the trapezoid represents the given parameter

We can see that the trapezoid is an isosceles triangle

This means that the angle x and y are congruent

The sum of angles is a trapezoid is 360 degrees

So, we have the following summation equation

x + x + 72+ 72 = 360

Evaluate the like terms

So, we have

2x + 144= 360

This gives

2x = 216

Divide by 2

x = 108

Hence, the value of x is 108 degrees

Answers

roots = {-2, -6}

Factors: (x + 6) and (x + 2)

What percentage of the numbers from 1 to 20 contain the digit 2?

Answers

2 , 12 , 20. That’s three numbers
3/20 = 0.15
Answer: 15%

The teacher recommends that students read for 20 minutes each night how many pages will the students complete

Answers

The number of pages read by the student at the constant rate in 20 minutes is 10 pages.

What is termed as the constant rate?In math, a constant rate is the exclusion of acceleration. A function with such a constant rate, in general, has a second derivative of 0. The function would be a straight line if plotted on standard graph paper because the change in y (or rate) would've been constant. Whenever the value of x increases, a value of y does not change.That is, the y value does not change, and the graph is just a horizontal line.

For the given question,

The rate at which the student reads the book is given by equation;

y = (1/2)x.

Consider the data from the table given.

For 1 minutes the pages read is 0.5.

From the recommendation of 20 pages by the teacher.

Thus, for 20 min, put the value x = 20 in the equation.

y = (1/2)×20

y = 10 pages.

Thus, the number of pages read by the student at the constant rate in 20 minutes is 10 pages.

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The complete question is-

A student reads at a constant rate in her chapter book, Where the Red Fern Grows. This can be described by the equation

y = (1/2)x. The chart above is complete. The teacher recommends that students read for 20 minutes each night. How many pages will the student complete?

Can you write a quadratic function that does not have a y-intercept?

Answers

Answer:

The graph of a quadratic function will always have one y-intercept

Step-by-step explanation:

you constructed a pairwise ranking of four events w, x, y, and z and came up with the following assessment: x is more likely than z y is more likely than x w is more likely than x what needed information is missing that prevents you from completing this analysis?

Answers

The relation between the events Y and W prevents us from completing the analysis.

The relation between the events Y and W prevents us from completing the analysis.

Case 1: W is more likely than Y then we have the following analysis:

Z, X, Y, and W are arranged in ascending order of more likeliness.

Case 2: Y is more likely than W then we have the following analysis:

Z, X, W, and Y are arranged in ascending order of more likeliness.

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Two planes just recently left the airport. Looking at the radar, Plane 1 is 50 miles away from the airport and Plane 2 is 200 miles away from the airport. If the 2 planes are 175 miles away from each other, what is the angle measurement from the airport to the 2 planes? (round to the nearest whole number)

Answers

To solve this problem, we need to use the Law of Cosines. The law states that given any triangle ABC:

Then;

[tex]c^2=a^2+b^2-2ab\cos(C)[/tex]

Since we want to find the measure of angle x, we can use:

c = 175 mi

a = 200 mi

b = 50 mi

C = x

Now, by the Law of Cosines:

[tex]175^2=200^2+50^2-2\cdot200\cdot50\cdot\cos(x)[/tex]

And solve:

[tex]30625=40000+2500-20000\cos(x)[/tex][tex]30625-40000-2500=-20000\cos(x)[/tex][tex]\frac{-11875}{-20000}=\cos(x)[/tex][tex]\begin{gathered} x=\cos^{-1}(0.59375) \\ . \\ x\approx53.5764 \end{gathered}[/tex]

To the nearest whole number, x = 54°

Given the function-f(x) = 9x + 5, find each of the following. f(8), f(-10), f(0)

Answers

Answer:

Step-by-step explanation:

is it

-f(x)=9x+5 or positive?

9(8)+5=72+5

f(8)=77

9(-10)+5=-90+5

f(-10)=-85

9(0)+5=5

f(0)=5

think of f(x) is y instead and whatever is in the parenthesis just plug into the equation for x

I need help with math identify the vertex of the parabola

Answers

The vertex of a parabola is the extreme point (maximum or minimum, depending on the the sign of the quadratic coefficient).

In the graph, we can see that the x-coordinate of the vertex is x=-1 and the y-coordinate is y=3.

Then, we can write the coordinates of the vertex as (h,k) = (-1,3)

Answer: The coordinates of the vertex are (-1,3)

Can someone tell me what x and y is and how to solve for it

Answers

[tex]2x = 76[/tex]

Due to alternate angles

[tex] \frac{2x}{2} = \frac{76}{2} \\ x = 38[/tex]

40°+(y-8)°+76°=180°(sum of angles in a triangle)

[tex]40 + y - 8 + 76 = 180 \\ y + 108 = 180 \\ y = 180 - 108 \\ y = 72[/tex]

ATTACHED IS THE SOLUTION.

Answer:

x = 38 ; y = 72

Step-by-step explanation:

180 = 76 + 40 + (y - 8)

180 = 108 + y

72 = y

The triangle has parallel lines, so the uppermost right angle is also 90 degrees.

90 - 76 = 14

180 = 90 + 14 + 2x

180 = 104 + 2x

76 = 2x

38 = x

Evaluate without any table 3log2 +log20 - log 1.6

Answers

The value of 3log2 +log20 - log 1.6 is 2.

What is logarithm?

A logarithm is defined as the power to which a number must be raised to get some other values. It is the most convenient way to express large numbers. or

logarithm is the exponent or power to which the base must be raised to be raised to yield a given number.

Given,

3log2 +log20 - log 1.6

we can write it as

log[tex]2^{3}[/tex]+log20 - (log 1.6)

= log 8+ log20 - (log 1.6) (property of logarithm)

= log (8×20/1.6)

=log 100

Hence, the value of 3log2 +log20 - log 1.6 = 2

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An acorn fell from a branch 20 feet high and landed on a branch 7 feet high. How long did it
take the acorn to fall?

Answers

It will take 1.62 seconds for an acron to fall on the branch of 7 feet high.

What is defined as the speed of object?The definition of speed is the rate at which an object's position changes in any direction. Speed is defined as the ratio of distance traveled to time spent traveling. Because it has only one direction and no magnitude, speed is a scalar quantity.

For the given question,

An acorn fell from a branch 20 feet high.

An acorn landed on a branch 7 feet high.

The total distance travelled by and acron is 20 - 7 = 13 feet.

Let the final velocity of an acron is 'v'.

The initial velocity of an acron 'u' is zero.

Using third equation of straight line.

v² = u² + 2gsu = 0g = 9.8 /sec²s = 13 feet

Put the values.

v² = 2×9.8×13

v = 15.96 ft/sec

Put the value in first equation of straight line.

v = u + gt

15.96 = 0 + 9.8×t

t = 15.96/9.8

t = 1.62 seconds.

Thus, it will take 1.62 seconds for an acron to fall on the branch of 7 feet high.

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Pick one of the remaining choices and explain on the lines below, why thatchoice contains two expressions that are not equivalent for any value of r.

Answers

If two expressions have the same coefficients of the variable, then the variable can be any number

For the first choice

3(3r + 3) = 9r + 9 === 1st expression

6r + 6 ===== 2nd expression

If we equate them

9r + 9 = 6r + 6

If we solve the equation we will find just one value of r

9r + 9 - 6r = 6r - 6r + 6

3r + 9 = 6

3r + 9 - 9 = 6 - 9

3r = -3

r = -1

But in the other choices, the two expressions have the same coefficients of r

Then when we equate them they will cancel each other

Then r can be any value

Because it does not affect the equation

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