what is the equation in point -slope form of a line that passes trough the points (3,-5) and (-8,4)

Answers

Answer 1

Answer:

The equation in point - slope form of a line that passes through the points (3,-5) and (-8,4) is: y-(-5) = -(9/11) (x-3) or y+5 = -(9/11) (x-3)

Step-by-step explanation:

P1=(3,-5)=(x1,y1)→x1=3, y1=-5

P2=(-8,4)=(x2,y2)→x2=-8, y2=4

Equation in Point-Slope Form: y-y1=m(x-x1)

Slope: m=(y2-y1)/(x2-x1)

Replacing the known values:

m=[4-(-5)] / (-8-3)

m=(4+5) / (-11)

m=(9) / (-11)

m=-(9/11)

Equation in the point - slope form:

y-(-5) = -(9/11) (x-3)

y+5 = -(9/11) (x-3)


Related Questions

A stadium can seat 46,000 people for a baseball game. One day, 49,442 people attended a game. How many people had to stand because they did not have a seat? A. 9,442 B. 3,442 C. 4,442 D. No one stood; there were enough seats

Answers

Answer:

The answer is B.

Step-by-step explanation:

So, there are 46,000 seats for a baseball game and 49,442 attended. You need to subtract 46,000 from 49,442 to get the answer that is 3,442.

The answer is B: 3,442

Cube A has a volume of 125 cubic inches. The edge lengths of cube B measure 4.8 inches. Which cube is larger and why?

Answers

Answer: Cube A is larger. This is because volume is found by multiplying length × width × height. The length, width, and height of a cube are ALWAYS equal. Therefore if cube B has a length of 4.8 inches it also has a height of 4.8 inches and a width of 4.8 inches. To find its volume multiply 4.8×4.8×4.8 this will give you 110.592 cubic inches. This means cube A is larger.


Cube A is bigger because of bigger volume.

Given that;

Volume of cube A = 125 cubic inches

Side of cube B = 4.8 inches

Find:

Which cube is big

Computation:

Volume of cube = Side³

Volume of cube B = 4.8³

Volume of cube B = 110.592 cubic inches

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Jesse played two days of golf. On the second day he got a score of 6 below par or -6. His total score for the two days was 0 above par or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.

Answers

Answer:

0 = -6 + x

Step-by-step explanation:

x = Day 1 Scores

The equation I stated above represents what he scored the second day plus whatever he scored the first day to equal zero.

Hope This Helps :)

Answer:

0 = -6 + x

Step-by-step explanation:

Sal solves the following word problem: You have 50 ounces of a 25% saline solution .How many ounces of 10% saline solution must you add to make a solution that is 15% saline ?

Answers

you will have 0 saline left

2 to the 6 th power divided by 4 to the 2 nd power

Answers

The written equation would be:
[tex] {2}^{6} \div {4}^{2} [/tex]
Do your exponents.

2 to the sixth is 64.

4 to the second is 16.

[tex]64 \div 16[/tex]
Divide.

[tex]64 \div 16 = 4[/tex]
Hope this helps!

:)

Hi there!

Lets first put the question into equation format. It will look like this,

2^6 ÷ 4^2  

"^" means "raised to a power of"

Now, solve the powers and divide.

2^6 = 64

4^2 = 16

Divide,

64 ÷ 16 = 4

Your answer is 4

Hope this helped!~

I need to know these asap

Answers

Answer: (-3, -5)

Step-by-step explanation:

-6x +  y =  13  

6x + 3y = -33

         4y = -20

        ÷4     ÷4

          y  =  -5

6x + 3y = -33

6x + 3(-5) = -33

6x - 15 = -33

6x        = -18

x         = -3

*********************************************************************************

Answer: ([tex]\frac{1}{3}[/tex], 2)

Step-by-step explanation:

9x +  y =  5   →    1(9x +  y =  5)   →    9x +  y =  5

3x - 3y = -5   →  -3(3x - 3y = -5)  →   -9x + 9y = 15

                                                                10y = 20

                                                              ÷10    ÷10

                                                                   y = 2

9x +  y =  5

9x + (2) = 5

9x        = 3

 x         = [tex]\frac{1}{3}[/tex]


     


Sarah had 12 free throw attempts during a game and made at least 75% of the free throws. What is the greatest number of free throws Sarah could have missed during the game.

Answers

Answer:

3

Step-by-step explanation:

25 percent of 12 is 3

Answer:

She missed 3 free throws.

Step-by-step explanation:

According to the problem, Sarah's percentage of successful free throws is 75%, this means that she failed a 25% of the total. If the total free throws are 12, then:

[tex]12(0.25)=3[/tex]

(Remember that, 25% is divided by 100, to have the decimal expression of this percentage)

Therefore, Sarah missed 3 free throws during the game.

at a wonderful water park, the water trough ride $2.75 per ride. if you have $15, then how many times could you ride

Answers

Answer:

5 times

Step-by-step explanation:

Since it is 2.75 dollars per ride if you multiply 2.75 times 5 you get $13.75 and you cant add anymore.

DO 15\2.75 (Divide)

You should get 5.4545454545

So you will have to round

So you can ride it about 5 times

Can 9 be expressed as a fraction?

Answers

Answer:

The simplest way to write 9 as a fraction is 9/1. Any number divided by 1 is still that number, dividing an integer by 1 does nothing to its value. So using 1 as a denominator in a fraction allows an integer to remain the same, but you can then work it in fraction form

Step-by-step explanation:


Answer:

[tex]\frac{9}{1}[/tex]

Step-by-step explanation:

Yes the following number 9 can be expressed as a fraction Referring to the fact it is a whole number you must put a 1 below it in the fraction form as follows [tex]\frac{9}{1}[/tex]

Based on the latest census there are 9860 students in a population of 62400 people. What percent of the total population is students?

Answers

Answer: 15.80%


Step-by-step explanation:

Given: Total population=62400

The total number of students=9860

To find the percent of the total population is students, we need to divide total population by total number of students and then multiply with 100, we get

The percent of the total population is students=[tex]\frac{9860}{62400}\times100[/tex]

[tex]=\frac{9860}{624}\\=15.80\%[/tex]

Hence, the percent of the total population is students is 15.80%.

Final answer:

To calculate the percentage of the total population that are students, divide the number of students (9860) by the total population (62400) and multiply by 100, resulting in approximately 15.8%.

Explanation:

To find the percentage of the population that are students, we use a simple formula where we divide the number of students by the total population and then multiply the result by 100. Applying this to the given numbers:

Percentage of students = (Number of Students / Total Population) × 100

Using the numbers provided:

Percentage of students = (9860 / 62400) × 100

Percentage of students = 0.15801282 × 100

Percentage of students = 15.801282%

Therefore, approximately 15.8% of the total population is students.

Twelve subtracted from a number equals 25. Find the number

Answers

Answer:

37 is your answer

Step-by-step explanation:

let "a number" = x

"twelve subtracted from [x]" = x - 12

"equals 25" = = 25

Set the equation

x - 12 = 25

Isolate the variable. Note the equal sign, what you do to one side, you do to the other. Add 12 to both sides

x - 12 (+12) = 25 (+12)

x = 25 + 12

x = 37

37 is your answer

~

Final answer:

The question is asking for a number that results in 25 when 12 is subtracted from it. This is an algebraic expression represented as x - 12 = 25. The solution is x = 37.

Explanation:

The question is asking to find a number when 12 is subtracted from it; the result is equals to 25. This is a basic algebraic expression where we let the unknown number be represented by the letter 'x'.

So, we can rewrite the question as an equation: x - 12 = 25.

To find 'x', we need to isolate it on one side of the equation, and to do so, we add 12 to both sides of the equation. This gives us: x = 25 + 12.

Adding 25 and 12, we get 37. So, the number you're looking for is 37.

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6v *2 + 4v*2  please solve this equation

Answers

Answer:

10v²

Step-by-step explanation:

6v² + 4v² =

10v²

Pamela is 13 years younger than jiri. The sum of their ages is 41. What is jiri’s age?

Answers

Answer:

27

Step-by-step explanation:

Pamela is 13 years younger than Jiri and the sum of their ages is 41, therefore (x=Jiri's age) (x-13) + x = 41)  2x-13=41  x=14. Pamela is 14 and Jiri is 27

Jiri is 27

Solution-

Pamela is X-13 years old
Jiri is X years old

So X+X-13=41
2X+13+13
2X=54
X=27

Check Answer-

Jiri- 27
Pamela- 27-13= 14
So Pamela is 14

14+27=41

A hiker averages 6 3/8 kilometers per hour. If he hikes 11/15 hours, how many kilometers does he hike?

Answers

Answer:

Distance = rate x time

= 6 and 3/8 times 5 and 1/3


= 51/8 times 16/3


= 17 times 2 <---- 51 cancels 3 and 18 cancels 8


= 34 km



Answer:

34 km

Step-by-step explanation:

Distance = rate x time

= 6 and 3/8 times 5 and 1/3

= 51/8 times 16/3

= 17 times 2 <---- 51 cancels 3 and 18 cancels 8

= 34 km

The sum of two numbers is 13 two times the first number minus three times the second number is 1. If you let x stand for the first number and y for the second number what are the two numbers

Answers

x+y =13
2x-3y=1

x=8
y=5

A recipe for beef stew requires 1 and 3/4th pounds of meat.You are making 6 and 1/2 batches of the recipe. how much meat do you need?

Answers

Answer:

11.375 pounds

Step-by-step explanation:

1.75 * 6.5 = 11.375

11 and 3/8 pounds of meat are required in total.

The student is asking a multiplication problem that involves fractions. To find the amount of meat needed, we multiply the amount of meat required for one batch by the number of batches.

Step-by-Step Calculation

First, we must convert the fractions into improper fractions to simplify calculation. The recipe requires 1 and 3/4 pounds of meat, which is
7/4 pounds (since 1 pound is 4/4 pounds, we add 3/4 pounds to get 7/4 pounds).

Next, the number of batches is 6 and 1/2, which as an improper fraction is 13/2 batches.

To find the total amount of meat required, we multiply the pounds per batch by the number of batches: (7/4) pounds x (13/2) batches = (7/4) x (13/2) = (7 x 13) / (4 x 2) = 91/8 pounds.

Finally, convert 91/8 pounds to a mixed number: 11 and 3/8 pounds of meat are required in total.

Is it possible to draw an isosceles right triangle with side lengths of 15,20,25? Explain.

Answers

Answer:

NO

Step-by-step explanation:

The rule for Isosceles Triangle is that two of the sides (leg) must be congruent (have the same meaurement), while the base can be larger or smaller.

~

No the triangle has two sides

(x^2+10x+26)/(x+6) How do you get the quotient and remainder

Answers

Answer:

quotient is x+4 and remainder 2.

Step-by-step explanation:

Given an polynomial of degree 2 and we are to divide it by x+6.

To find quotient and remainder

We can do synthetic division

When we divide by x+6 consider -6

and write on left.  Write the coefficient 1 , 10, 26 inside

-6       1      10     26

         x       -6    -24

       ---------------------

          1      4       2 =R

So remainder is 2 and quotient is x+4

Let us verify

(x+4)(x+6) = [tex]x^2+10x+24[/tex]

If we add the remainder we are getting the given expression.

[tex]x^2+10x+26[/tex]

In the diagram below, which distance represent the distance from point D to AB?

A. BD
C. DC
D. AC

Answers

Answer:

Where is the diagram

Step-by-step explanation:

?????

Answer:

C

Step-by-step explanation:

CD

It takes 10 people 5 days to complete a piece of work at a factory when working 2 hours a day. Working at the same pace, how many days will it take 2 people to do the same work, if they are working 5 hours a day?

Answers

Answer:

It will take 2 people 10 days to complete the task.

Step-by-step explanation:

It takes 10 people 5 days to complete a piece of work at a factory when working 2 hours a day, i.e., 10 people take 10 working hours to complete a task.

When number of people is decreased by 5 times, i.e., 10÷5=2, then the amount of working hours are increased by 5, i.e., 10×5= 50 hours.

If the 2 workers work 5 hours per day then they will require 10 days to complete the task of 50 hours.

Find u -2v given u = (-2, 5) and v = 6i -4j

A. U - 2v = -14i +13j

B. U - 2v = -10i + 13j

C. U - 2v = 4i + j

D. U - 2v = 10i - 3j

Answers

Answer:

A. U - 2v = -14i +13j


Step-by-step explanation:

If u = (-2, 5) and v = 6i -4j

Then 2v = 2*(6i-4j) = 12i-8j

u-2v =  -2i +5j  - (6i -4j)

Distribute the minus sign  

        -2i +5j -6i+4j

-2i +5j

-12i + 8j

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

-14i +13j

Answer:

1.) d

2.) c

3.) a

Step-by-step explanation:

Evaluate 6g +1 for g =7

Answers

Answer:

43

Step-by-step explanation:You first have to write the equation down. Then replace any variables with numbers. Do 6 times 7 which equals 42. Then add 1 to the answer which equals 43. Hope this is helps!! ☺☻


Answer:

Your answer is 43

Step-by-step explanation: You have to substitue 7 for g since it says g=7



6g +1 --- GIVEN

6(7) + 1 --- SUBSTITUTION

42 + 1 --- MULTIPLICATION

43 --- ADDITION


Solve for x. Please show work.

Answers

Answer:

x= to 5

Step-by-step explanation:


Which expression is equivalent to the following complex fraction? X+5/x+2-x+1/x^2+2x

Answers

Answer:

Final answer will be the choice which matches best with expression

[tex]\frac{x^2+4x-1}{x\left(x+2\right)}[/tex] or

[tex]\frac{x^2+4x-1}{x^2+2x}[/tex]


Step-by-step explanation:

Given expression is:

[tex]\frac{\left(x+5\right)}{\left(x+2\right)}-\frac{\left(x+1\right)}{\left(x^2+2x\right)}[/tex]

We begin by factoring denominators:

[tex]=\frac{\left(x+5\right)}{\left(x+2\right)}-\frac{\left(x+1\right)}{x\left(x+2\right)}[/tex]

Multiply and divide first term by (x) to make denominators equal.

[tex]=\frac{x\left(x+5\right)}{x\left(x+2\right)}-\frac{\left(x+1\right)}{x\left(x+2\right)}[/tex]

Since denominators are equal so we can combine numerators.

[tex]=\frac{x\left(x+5\right)-\left(x+1\right)}{x\left(x+2\right)}[/tex]

Now simplify

[tex]=\frac{x^2+5x-x-1}{x\left(x+2\right)}[/tex]


[tex]=\frac{x^2+4x-1}{x\left(x+2\right)}[/tex]


[tex]=\frac{x^2+4x-1}{x^2+2x}[/tex]

Hence final answer will be the choice which matches best with expression

[tex]\frac{x^2+4x-1}{x\left(x+2\right)}[/tex] or

[tex]\frac{x^2+4x-1}{x^2+2x}[/tex]


If the null hypothesis of an experiment is “The true mean weight of the piglets is at least 39lbs” what is the alternate hypothesis?

Answers

Answer:

“The true mean weight of the piglets is at most 39lbs”would be the alternate hypothesis.

Step-by-step explanation:

Given that  the null hypothesis of an experiment is “The true mean weight of the piglets is at least 39lbs”

We have to find the alternate hypothesis.

In hypothesis testing, alternate is the opposite of null hypothesis.  If null hypothesis supports one statement alternate hypothesis opposes it.  In other words, alternate hypothesis would be the negative of the claim of null hypothesis.

Here the null hypothesis of an experiment is “The true mean weight of the piglets is at least 39lbs”

i.e H0: [tex]x bar\geq 39 lbs[/tex]

So alternate hypothesis

Ha:  [tex]x bar\leq 39 lbs[/tex]

Measurement of angle 1

Answers

Answer:

55 degrees

Step-by-step explanation:

Given that a circle and inside two chords with same arc length.

We are to find the angle between the two chords.

Given that two arcs subtend angle 125 degrees at the centre.

Let us join the two ends of chords to make the figure as a triangle inside a circle.

The triangle is isosceles as two arcs and hence chords are equal.

By central angle theorem we have the two equal angles as 1/2 (125) = 62.5

Hence we have a triangle with two equal angles 62.5 and another angle 1.

By triangle sum of angles theorem

angle 1+62.5+62.5 = 180

Hence angle A = 180-62.5-62.5 = 55 degrees.

If you apply the changes below to the linear parent function, F(x)=x, what is the equation of the new function? vertically compress by 1/4 flip over the y-axis

Answers

Final answer:

The new function after applying the given transformations to the linear parent function f(x) = x, results in f(x) = -1/4x, representing a combined vertical compression and reflection about the y-axis.

Explanation:

Starting with the linear parent function f(x) = x, we need to apply two transformations: a vertical compression by 1/4 and then a reflection over the y-axis. Applying a vertical compression by 1/4 means we multiply the output by 1/4, resulting in f(x) = (1/4)x.

To reflect the function across the y-axis, we replace x with -x, which gives us the new function f(x) = (1/4)(-x) or, simplified, f(x) = -1/4x. Therefore, the equation of the transformed function is f(x) = -1/4x.

If x=−5 and y=4, evaluate the following expression:2(y−3xy)

Answers

Final answer:

The value of the expression 2(y-3xy) when x = -5 and y = 4 is 128.

Explanation:

To evaluate the expression 2(y-3xy) given that x = -5 and y = 4, we substitute the values of x and y into the expression.

2(y-3xy) = 2(4-3(-5)(4)) = 2(4+60) = 2(64) = 128

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In parallelogram ABCD , diagonals AC¯¯¯¯¯ and BD¯¯¯¯¯ intersect at point E, AE=x2−16 , and CE=6x . What is AC ? Enter your answer in the box. units

Answers

Answer:

96 units

Step-by-step explanation:

If ABCD is parallelogram, then its diagonals bisect each other. This means that

AE=EC;BE=ED.

Since [tex]AE=x^2-16[/tex] and [tex]EC=6x,[/tex] you get

[tex]x^2-16=6x,\\ \\x^2-6x-16=0,\\ \\D=(-6)^2-4\cdot 1\cdot (-16)=36+64=100,\\ \\x_{1,2}=\dfrac{-(-6)\pm \sqrt{100}}{2\cdot 1}=\dfrac{6\pm 10}{2}=8,\ -2.[/tex]

The distance cannot be negative, thus, [tex]x=6\ units.[/tex]

[tex]AE=8^2-16=64-16=48,\\ \\CE=6\cdot 8=48,\\ \\AC=AE+EC=48+48=96\ units.[/tex]

4. Charlie is at a small airfield watching for the approach of a small plane with engine trouble. He sees the plane at an angle of elevation of 32. At the same time, the pilot radios Charlie and reports the plane’s altitude is 1,700 feet. Charlie’s eyes are 5.2 feet from the ground.
 
Find the ground distance from Charlie to the plane. Show how you know.

Answers

check the picture below.


make sure your calculator is in Degree mode.

now, Charlie's eyes are 5.2' from the ground, however the distance from his eyes over the horizontal and the ground over the horizontal, is the same, so taking the tan(32°) at his eyes level will give that horizontal distance.

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