A line passes through (4,-5) and had a slope of 5/2. Write an equation in point-slope form for this line

Answers

Answer 1

Answer:

y+5 = 5/2( x -4)

Step-by-step explanation:

Point slope form of a line is

( y-y1) = m(x-x1) where m is the slope and ( x1 ,y1) is a point on the line

y --5 = 5/2( x -4)

y+5 = 5/2( x -4)

Answer 2

Answer:

y + 5 = 5/2(x - 4)

Step-by-step explanation:

Use the point slope equation: y - y1 = m(x - x1), where (x1, y1) is a known point and m is the slope.

Plug in the values:

y + 5 = 5/2(x - 4)

So, the equation is y + 5 = 5/2(x - 4)


Related Questions

Find the graph of the inequality y<-1/5X+1.

Answers

Answer:

Please refer to attached image for the graph of inequality.

Step-by-step explanation:

Given the inequality:

[tex]y<-\dfrac{1}{5}x+1[/tex]

To graph this, first let us convert it to corresponding equality.

[tex]y=-\dfrac{1}{5}x+1[/tex]

As we can see that the above equation is a linear equation in two variables so it will be a straight line.

Now, let us find at least two points on the above equation so that we can plot them and then extend it to get the complete graph.

Two points that can be easily found, are:

1st put [tex]x = 0[/tex] , [tex]y=-\frac{1}{5}\times 0+1 =1[/tex]

So one point is (0, 1 )

Now, put y = 0,  

[tex]0=-\frac{1}{5}\times x+1\\\Rightarrow 1=\frac{1}{5}\times x\\\Rightarrow x = 5[/tex]

Second point is (5, 0)

Let us plot the points on the graph and extend the straight line.

Now, we know that it is an inequality, the are will be shaded.

As there is no equal to sign in the inequality, so the line will be dashed.

Let us consider one point and check whether that satisfies the inequality or not.

If the point is satisfied in the inequality, we will shade that area towards the point.

Let us consider the point (0, 0).

0 < 0 +1

Point is satisfied.

Please refer to the attached image for the graph of given inequality.

please help :) Which is a component of pseudoscience, but not science? A) explanations B) beliefs C) facts D) processes

Answers

The correct answer is B) Beliefs

Explanation:

Pseudoscience differs from science because this is based on personal beliefs or non-proven statements. For example, disciplines such as Astrology or Numerology are considered pseudoscience because these cannot be proven scientifically, are not based in facts or reality, and in general, do not follow the standards of science. This means one component of pseudoscience is that this is based on personal beliefs as pseudosciences do not follow the scientific method but this does not occur in science.

The correct answer is B) Beliefs

Explanation:

Pseudoscience differs from science because this is based on personal beliefs or non-proven statements. For example, disciplines such as Astrology or Numerology are considered pseudoscience because these cannot be proven scientifically, are not based in facts or reality, and in general, do not follow the standards of science. This means one component of pseudoscience is that this is based on personal beliefs as pseudosciences do not follow the scientific method but this does not occur in science.

How many planes exist that pass through points A, B,
and C?
O
1
2
3

Answers

Answer: 1

Step-by-step explanation:

Given : A, B, c are three points.

We know that a plane exist that pass through three points.

So 1 plane exist that pass through points A, B,  and C.

A point (gives location) , a line(gives length) and a plane(2 dimensional flat surface) are 3 undefined terms.

We need two points two make a line and three points to make a plane.

Answer:

Step-by-step explanation:

The answer is 1


What is the area of a circle with a radius of 40 cm?
cm2
(Use 3.14 for Pi.)

Answers

A= pi x radius squared

A= 3.14 x 40squared

A= 5024 cm2

Hope this helps ya.

How do u simplify each expression by combining like terms?

Answers

Answer:

1. 8y - 9y = -1y

( 8 - 9 = -1)

3. 8a - 6 +a - 1

( i have showed the like terms here)

8a - 1a= 7a

-6 - 1 = -7

7a - 7

5. -x - 2 + 15x

( i have showed the like terms here)

-x + 15x = 14x

(x = 1)

14x + 2

7.  8d - 4 - d - 2

( i have showed the like terms here)

8d - d = 7d

-4 -2 = -6

7d - 6

8. 9a + 8 - 2a - 3 - 5a

( i have showed the like terms here)

9a - 2a - 5a = 2a

8 - 3= 5

2a + 5

inscribed angles. need answers asap , thank u!​

Answers

Answer:

40°

Step-by-step explanation:

The circumference of a circle is equal to 360°

The arc AB is 180°, the arc AC is given as 100° so the arc CB is 80° and since <A is an inscribed angle it is equal to the half of the arc it sees

80 ÷ 2 = 40

Problem Solve for t.
2(t+1) = 10

Answers

t=4

explanation

2(t+1)=10

2t+2=10

2t=8

t=4

What is the answer when you evaluate n + m -2(m-m) when m = 3 and n = 2?
Im sorry I suck at math i have a learning disability a processing disorder and sever adhd

Answers

Answer:

5

Step-by-step explanation:

n + m -2(m-m)

Combine like terms

n+m+2(0)

n+m

Let m=3 and n=2

2+3

5

The Ruiz family is exchanging euros for US dollars. The exchange rate is 1 euro equals 1.35261 USD. Since the Ruiz family knows that USD are stated to the nearest hundredth of a dollar, they used the conversion ratio. Will this give the Ruiz family the correct exchange?

Answers

Answer:

It will depend on how many euros they intend to convert. If they were only converting one euro they would get $1.35 whichever rate they used, but imagine it was a thousand euros - at the correct rate they would get $1352.61, at the proposed rate they would only get $1350.

Step-by-step explanation:

No, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.

Answer:

No, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.

Step-by-step explanation:

just copy/paste

OI
If sec 50° = a and cot 40° = b, find the value of a2 - b2.​

Answers

Answer:

a² - b² = 1

Step-by-step explanation:

The given parameters are;

sec 50° = a

cot 40° = b

We note that sec(θ) = 1/cos(θ) and cot(θ) = 1/tan(θ)

a² - b² = sec²50° - cot²40°  

Given that sec(90 - θ) = cosec(θ) where; cosec(θ) = 1/sin(θ),  we have;

sec²50° - cot²40°  = sec²(90° - 50°) - cot²40° = sec²(40°) - cot²40°

sec²(40°) - cot²40° = cosec²(40°) - cot²40°

Also we have;

cosoc²(θ) = 1 + cot²(θ)

Therefore, we have;

cosoc²(40°) - cot²40° = 1 + cot²(40°) - cot²40°  = 1

Therefore, where sec(50°) = a and cot(40°) = b, the value of a² - b² is 1.

Hi how do I solve this simultaneous equation

Answers

Answer:

M (-3, -5/2)

N (3, -1)

Step-by-step explanation:

Solve the first equation for x.

4y = x − 7

x = 4y + 7

Substitute into the second equation.

x² + xy = 4 + 2y²

(4y + 7)² + (4y + 7)y = 4 + 2y²

Simplify.

16y² + 56y + 49 + 4y² + 7y = 4 + 2y²

18y² + 63y + 45 = 0

2y² + 7y + 5 = 0

Factor.

(y + 1) (2y + 5) = 0

y = -1 or -5/2

Plug back into the first equation to find x.

x = 4(-1) + 7 = 3

x = 4(-5/2) + 7 = -3

M (-3, -5/2)

N (3, -1)

Find the solution for this system of equations. 2x - 3y = 2 x= 6y -5

Answers

Answer:

Step-by-step explanation:

2(6y - 5) = 2

12y - 10 = 2

12y = 12

y = 1

x = 6(1) - 5

x = 6 - 5 = 1

(1,1)

Answer: (1,1)

Step-by-step explanation: 2(6y - 5) = 2

12y - 10 = 2

12y = 12

y = 1

x = 6(1) - 5

x = 6 - 5 = 1

(1,1)

A
man paid 15600
for a new
car. He
was given a discount of
7%. Find the marked price
of the car​

Answers

hope it helps.I was reading the same chapter

What is the slope and the y-intercept of the line on the graph below? On a coordinate plane, a line goes through points (0, 1) and (4, 0).

Answers

The slope is the change in Y over the change in x:

Slope = (0-1) / 4-0) = -1/4

Slope = -1/4

Y intercept is the Y value when x is equal to 0. In the point (0,1) x is 0 and y is 1, so the y-intercept is 1

Simplify:
[tex] \sqrt[4]{6 ^{4} } [/tex]

Answers

Answer:

6

Step-by-step explanation:

Doing the fourth root of something is the equivalent of doing said number to the power of 1/4. So in this case I will convert the fourth root into an exponent and simplify:

6^(4*1/4) = 6^1 = 6

Hope this helps!


Function g can be thought of as a scaled version of f(x)=|x| what is the equation for g(x)?

Answers

Answer:

A

Step-by-step explanation:

Khan academy

The equation for the g(x) is g(x) = -4|x| if function g can be thought of as a scaled version of f(x)=|x| option (B) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Function g can be thought of as a scaled version of f(x)=|x|

The function f(x):

f(x) = |x|

The blue lines represent the function f(x)

First reflect the function f(x) around the x-axis

F(x) = -|x|

Multiply by the factor 4 to stretch the function:

g(x) = -4|x|

Thus, the equation for the g(x) is g(x) = -4|x| if function g can be thought of as a scaled version of f(x)=|x| option (B) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ5

1. An atom consist of charged particles called electrons and protons. Each proton has a charge of +1 and each electron has a charge of -1.Remember number of electrons is equal to number of protons, while answering these questions i) What is the charge on an atom? Ii) What will be the charge of an atom if it loses an electron? Iii) What will be the charge of an atom if it gains an electron?

Answers

Answer:

I) no charge

ii) it will be positively charged

iiI) it will be negatively charged

Step-by-step explanation:

An atom is composed of electrons, neutrons and protons. Electrons are negatively charged while protons are positively charged. The number of electrons and protons in a neutral atom are exactly the same. This ensures the electrical neutrality of the atom.

However, if an atom looses an electron, there are now more protons than electrons present in the atom hence the atom is positively charged.

Similarly, if an atom gains an electron, it now contains more electrons than protons, hence it is negatively charged.

Solve 18n - 7p-15n = 5p for n.
A n = 1
B. n=2p
C. n = 1/2
D. n=4p

Answers

Answer:

The answer is option D

Step-by-step explanation:

18n - 7p-15n = 5p

To solve for n first make n the subject

Group like terms

That's

18n - 15n = 5p + 7p

Simplify

3n = 12p

Divide both sides by 3 to make n stand alone

That's

3n/3 = 12p/3

We have the final answer as

n = 4p

Hope this helps you

Answer:

D) n = 4p

Step-by-step explanation:

18n - 7p - 15n = 5p

18n - 15n = 5p + 7p

Add like terms

3n = 12p

Divide both sides by 3

3n/3 = 12p/3

n = 4p

Please help solve this, I solved it on my own but I think my calculations are wrong. here is the problem,
b-(b+a×4c÷4); use; a=-6, b=1, and c=2?​

Answers

Hi there! Hopefully this helps!

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

Answer: 12~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

First we need to substitute the value of the variable into the expression and simplify.

b-(b+a×4c÷4) = 1 - (1 + -6 × 4(2) ÷ 4).

Now we need to solve 1 - (1 + -6 × 4(2) ÷ 4).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1 - (1 + -6 × 4(2) ÷ 4)

|

|  First, we cancel out 4 and 4.

\/

1 - (1 - 6 × 2)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Next, we multiply -6 and 2 to get -12.

1 - (1 - 12)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Then we subtract 12 from 1 to get -11.

1 - (-11)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The opposite of -11 is 11.

1 + 11.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Add 1 and 11 to get, you guessed it, 12!

Answer:

Answer: 12

Hope this helps

So... can someone help

Answers

Answer:

18 : 30

Step-by-step explanation:

Our ratio could look like this:

Number of games won : Number of games played

6 : 10

=> .6 : 1

Let's check whether the 1st option is correct.

=>  18 : 20

=> 1 x 20 = 20

=> .6 x 20 = 12

=> 12 : 20 is not equal to 18 : 20

The second option is 100% incorrect because the number of games won is greater than the number of games played.

let's check whether the 3rd option is correct.

=> 18 : 30

=> 1 x 30 = 30

=> .6 x 30 = 18

18 : 30 = 18: 30

So, the 3rd option is correct.

Answer:

18:30

Step-by-step explanation:

The ratio of games is 6 won out of 10 games

The ratio at the bottom that is 6:10 is

18:30

Divide each side by 3

18/3 : 30/3

6:10

the area of square is 64cm square .find its length​

Answers

Answer:

8 cm

Step-by-step explanation:

Because A=a*a

Area equals length times length

So, 8 is the length

64 divided by some number must equal the exact same number. Let me show what I am talking about.

Our length is a. We multiply a times itself (because that's the formula for the square's area)

Does this number exist?

Yes, it does.

And it's a whole number.

And we know from our times tables that 8*8=64

Hope it helped you

Answer:

8 cm

Step-by-step explanation:

please mark me as brainliest

During summer vacation, Wesley read, on average, 20 pages per night. Now that he has returned to school, he is averaging 65% fewer. How many pages per night is Wesley averaging now?

Answers

Answer:

He is currently reading 7 pages per night

Step-by-step explanation:

We can simply the question a little by finding what percent of the original Wesley is currently reading. Instead of saying 65% fewer, we can say he is reading 35% of what he used to read

Now we need to set up a proportion to solve the problem.

35% of 20

35/100=x/20

Cross multiply

35x20=700

700/100=7

He is currently reading 7 pages per night

please help me please ​

Answers

Answer:

14 cm

Step-by-step explanation:

Answer:

14 cm will be the answer

Find the area of the shaded region

Answers

Answer:

12 sq. units

Step-by-step explanation:

The formula for finding the area of a triangle is a = 1/2bh, or 1/2 times base times height.

To do this, multiply the base (6) and height lengths (4). This gets you 24.

But we're not done. You must then multiply by 1/2, which is the same a dividing by 2/1 or 2. 24/2 = 12. Slap on the unit of measurement and you've got your answer.

You start with a given set of rules and conditions and determine something to
be true. What type of reasoning did you use?
O A. deductive
O B. inductive
C. logical
D. conditional

Answers

Answer:

i use logical reasoning

Find the area of each polygon

Answers

Answer:

1. 66 ft²

2. 102 cm²

3. 35 in.²

4. 7.36 in.²

5. 60 in.²

6. 91 m²

7. 48 m²

5. 567 mm²

9. 255 m²

10. The side length of the square is 9 cm

The area of the square is 81 cm²

Step-by-step explanation:

1. The area of the parallelogram = 11 × 6 = 66 ft²

2. The area of the triangle = 1/2×12×17 = 102 cm²

3. The area of the trapezium = 1/2×(5 + 9)×5 = 35 in.²

4. The area of the triangle = 1/2×4.6×3.2 = 7.36 in.²

5. The area of the parallelogram = 10 × 6 = 60 in.²

6. The area of the trapezium = 1/2×(15 + 11)×7 = 91 m²

7. The area of the parallelogram = 8 × 6 = 48 m²

5. The area of the trapezium = 1/2×(27 + 36)×18 = 567 mm²

9. The height of the wall = 17 m - 8 m = 15 m

The area = 17 × 15 = 255 m²

10. The dimensions of a square with perimeter = 36 cm are;

Side length = 36/4 = 9 cm

The area of the square = 9 × 9 = 81 cm².

What is the area of the following figure: A) 30 cm 2 B) 36 cm 2 C) 18 cm 2 D) 15 cm 2

Answers

Answer:

15 cm^2

Step-by-step explanation:

The area of the triangle is

A = 1/2 bh

A = 1/2 ( 10) * 3

   = 1/2 (30)

   = 15

Answer:

D) 15cm^2

Step-by-step explanation:

The area of the triangle is

A = 1/2 bh

A = 1/2 ( 10) * 3

  = 1/2 (30)

  = 15

help on the circled problems, will mark brainliest :D

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

x - (9x - 10) + 11 = 12x + 3(- 2x + [tex]\frac{1}{3}[/tex] ) ← distribute parenthesis on both sides

x - 9x + 10 + 11 = 12x - 6x + 1 ← collect like terms on both sides

- 8x + 21 = 6x + 1 ( subtract 6x from both sides )

- 14x + 21 = 1 ( subtract 21 from both sides )

- 14x = - 20 ( divide both sides by - 14 )

x = [tex]\frac{-20}{-14}[/tex] = [tex]\frac{10}{7}[/tex]

(3)

- 4x - 2(8x + 1) = - (- 2x - 10) ← distribute parenthesis on both sides

- 4x - 16x - 2 = 2x + 10

- 20x - 2 = 2x + 10 ( subtract 2x from both sides )

- 22x - 2 = 10 ( add 2 to both sides )

- 22x = 12 ( divide both sides by - 22 )

x = [tex]\frac{12}{-22}[/tex] = - [tex]\frac{6}{11}[/tex]

(7)

8(2x + 9) = 56 ( divide both sides by 8 )

2x + 9 = 7 ( subtract 9 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

Can someone please assist me...thank you​

Answers

Answer:

x=10, y=24

[tex]\left(34-y\right)^2+y^2=676[/tex]

Step-by-step explanation:

Answer:

x = 10 and y = 24

Step-by-step explanation:

Perimeter of triangle = sum of the 3 sides of the triangle

:. x + y + 26 = 60

x + y = 60 - 26

x + y = 34 ---- (1)

From Pythagoras theorem,

x² + y² = 26²

x² + y² = 676 ---- (2)

From equation (1): y = 34 - x

:. x² + (34 - x)² = 676

x² + 1,156 - 68x + x² = 676

x² + x² - 68x + 1,156 - 676 = 0

2x² - 68x + 480 = 0

x² - 34x + 240 = 0

(x² - 24x) - (10x + 240) = 0

x(x - 24) -10(x - 24) = 0

(x - 24)(x - 10) = 0

x = 24 or 10

y = 34 - x

y = 34 - 10 = 24

:. x = 10 and y = 24

Find the vertices and foxi of the hyperbola y^2/25 - x^2/144=1

Answers

Answer:

Step-by-step explanation:

[tex]\dfrac{y^2}{b^2} -\dfrac{x^2}{a^2} =1\\a=12\\b=5\\f^2=a^2+b^2=13^2\\Vertices:(0,5), (0,-5)\\Foci: (0,13),(0,-13)\\[/tex]

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