What is the slope-intercept equation of the line that goes through the points (3,5) and (-1,13)

Answers

Answer 1

Answer:

y=-2x+11

Step-by-step explanation:

Slope-intercept form is y=mx+b.

Slope is rise/run, which is y2-y1/x2-x1. Using these points, that's (13-5)/(-1-3). This is 8/-4, or -2.

You can plug this into y=mx+b to get y=-2x+b.

To solve for b, you can use one of the original points and plug it back into the formula:

y=-2x+b

5=-2(3)+b

5=-6+b

b=11

So, putting it all together, you get y=-2x+11.


Related Questions

En la tira están escritos los números de 1 a 40. Corta la tira en pedazos, de tal forma gue en cada uno de ellos queden a lo más dos números primos , Icośntos contes hiciste ​

Answers

Se debe realizar 6 cortes sobre la tira.

Una Tira es una pieza de papel cuya longitud es mucho mayor que su anchura. Un Número Primo es un Número Natural que solo es divisible por 1 y por sí mismo, mientras que un Número Compuesto se compone de Números Primos y es divisible además por otros números, tanto Primos como Compuestos.

Realizamos el ejercicio siguiendo las siguientes consideraciones:

1) Escribimos los primeros 40 Números Naturales en orden ascendente.

2) El primer número del primer segmento de tira es el 1 y contiene a lo sumo dos Números Primos y termina en el Número Natural inmediatamente precedente a un Número Primo.

3) El resto de segmentos de tira comienza con un Número Primo, contiene a lo sumo dos Números Primos y termina en el Número Natural inmediatamente precedente a un Número Primo.

Los números primos entre 1 y 40 son 3, 5, 7, 11, 13, 17, 19, 21, 23, 29, 31, 33, 37.

Los segmentos de tira son los siguientes:

1) 1, 2, 3, 4 (1 número primo)

2) 5, 6, 7, 8, 9, 10 (2 números primos)

3) 11, 12, 13, 14, 15, 16 (2 números primos)

4) 17, 18, 19, 20 (2 números primos)

5) 21, 22, 23, 24, 25, 26, 27,28 (2 números primos)

6) 29, 30, 31, 32 (2 números primos)

7) 33, 34, 35, 36, 37, 38, 39, 40 (2 números primos)

El número de cortes (\(n\)) se determina mediante la siguiente fórmula:

\(n = s - 1\) (1)

Donde \(s\) es el número de segmentos de tiras.

Si sabemos que hay 7 segmentos de tiras, entonces se debe realizar 6 cortes.

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Q3. Given that the area of sector below is 85cm^2 work out its radius, marked p on the
diagram.
Give your answer correct to 1 decimal place

Q3. Given that the area of sector below is 85cm^2 work out its radius, marked p on thediagram.Give your

Answers

The radius of the circle, marked p on the diagram, is approximately 5.8 cm.

What is radius?

Radius is a term used in geometry to describe the distance from the center of a circle to any point on the circumference. It is a line segment that has its two endpoints at the center of the circle and at any point on the circumference.

The area of a sector is equal to the fraction of the circle's area that the sector occupies multiplied by the area of the entire circle.
Therefore, the area of the sector is equal to (θ/360) × πr^2.
Since the area of the sector is given as 85 cm^2, we can rearrange the equation to get:
85 = (θ/360) × πr^2
Rearranging further, we get:
r^2 = (85 × 360)/(πθ)
Taking the square root of both sides, we get:
r = √((85 × 360)/(πθ))
Since the angle θ is not given, we cannot solve for r. However, we can approximate the angle θ to be equal to 360° since the sector occupies the entire circle.
Therefore, the radius of the circle is equal to:
r = √((85 × 360)/(π × 360))
r = √(85/π)
r ≈ 5.8 cm
Therefore, the radius of the circle, marked p on the diagram, is approximately 5.8 cm.

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Calculate the price of a zero-coupon bond that matures in five years if the market interest rate is 7.50 percent. (Assume semiannual
compounding and $1,000 par value.)
Multiple Choice

Answers

Based on the information given, the price of the zero coupon bond is $692.04.

How to solve

To calculate the price of a zero coupon bond, we need to use the following formula:

\(\sf P =\dfrac{F}{1+r\div n}^{(nt)\)

Where:

P = price of the bondF = face value of the bondr = annual interest raten = number of compounding periods per yeart = time to maturity in years

Also, the annual interest rate is 7.50%, which is the market interest rate, and the compounding is semiannual, which means n = 2. Finally, the time to maturity is 5 years.

Plugging in the values into the formula, we get:

\(\sf P = \dfrac{1000}{(1+0.075\div2)^{(2\times5)}}\)

\(\sf P = \dfrac{1000}{(1.0375)^{10}}\)

\(\sf P = \dfrac{1000}{1.4450}\)

\(\sf P = \$692.04 \ \ (rounded \ to \ the \ nearest \ cent)\)

Therefore, the price of the zero coupon bond is $692.04.

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Monica paid sales tax of $105 when she bought a new TV. If the sales tax is 5%, what was the cost of the TV?​

Answers

Answer:

$31.5

Step-by-step explanation:

X * 5% = $1.50

X = $1.50 / 5%

Or by using simple rule of three:

If 5% is $1.50

Then 100% is X

So you obtain = $30

Now you just need to sum The net prices and the taxes

Net + tax = Total Charge

$30 + $1.5 = $31.5

Graph the compound inequality 6x+2y<12 or x-6y>6

Answers

The graph of the compound inequalities with intersection points

(2.21, -0.63) is given below.

Please see the graph attached.

What is compound inequality?

A compound inequality has two inequality statements joined either by the "or" or “and.”

We have,

6x+2y<12 or x-6y>6

We can graph each inequality.

And we also need to see the intersection between the inequalities.

Let,

6x + 2y = 12____(1)

x - 6y = 6_______(2)

From (1)

x = (12 - 2y ) / 6 put in (2)

(12 - 2y) / 6 - 6y = 6

2 - 1/3y - 6y = 6

2 - 6 = (1/3)y + 6y

-4 = 19y / 3

y = -12 / 19

y = - 0.63 put in (1)

6x + 2 x (-0.63) = 12

6x = 12 + 1.26

x = 13.26 / 6

x = 2.21

The point of intersection on the graph is (2.21, -0.63).

Thus the graph of the compound inequalities with intersection points (2.21, -0.63) is given below.

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Graph the compound inequality 6x+2y&lt;12 or x-6y&gt;6

Verónica Ana y Luis pintan una barda y les pagan 300 cuánto dinero debería recibir cada quien

Answers

Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

Given −48.132 ÷ −0.84, find the quotient.

40.4
47.292
57.30
−5.73

Answers

The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Given −48.132 ÷ −0.84.

Then the value of the expression will be

⇒ −48.132 / −0.84

If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.

⇒ 48.132 / 0.84

⇒ 57.30

The quotient of the expressions −48.132 and −0.84 will be 57.30.

Then the correct option is C.

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16) Solve for side AB.
AB-
Round your answer to the nearest hundredth.

A) 5.45
B) 6.45
C) 7.45

16) Solve for side AB.AB-Round your answer to the nearest hundredth.A) 5.45B) 6.45C) 7.45

Answers

Answer:

AB= 7.45

Anwer C)

Step-by-step explanation:

Cos (angle) = Nearest side / Huypothenuse

Cos(20)      = 7 / AB

Cos(20) * AB = (7 /AB) * AB

Cos (20) * AB = 7

(Cos(20) *AB) / Cos(20) = 7 / Cos(20)

AB = 7 / cos(20)

AB=    7.45

In this triangle, side AB is the hypotenuse.

In order to find the hypotenuse, we can use the trigonometric function “cosine”,
since.

Cosine =
Adjacent side (which is 7) / hypotenuse

Cos(50) = 7 / AB

AB = 7 / Cos(50)

AB = 10.89006678802289

AB ≈ 10.89

Have a good day ^^

Can you guys pls give me the right answer❤️

Can you guys pls give me the right answer

Answers

Answer:

C 5/8

Step-by-step explanation:

What’s the square root of 16
Please help

Answers

The square root of 16 is 4

7 3 If you were to graph a line with a slope of 3/2 that intercepts the y-axis at -2 on the coordinate plane, one point on that line would have a y coordinate of 4 with an x coordinate of what number?​

Answers

Answer:

4

Step-by-step explanation:

Make a graph.

Start at negative 2 because that's the y intercept. Remember that a minus sign in front of the y intercept just means it's negative.

The slope is basically the rise over the run. How much you go UP divided by how much you run. Since the slope is 3/2, we go up 3 and right 2.

Keep making points and you get 4

Consider the line -9x-6y=8.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line

Consider the line -9x-6y=8.What is the slope of a line perpendicular to this line?What is the slope of

Answers

First, simplify the equation into slope-intercept form to make things easier. Slope-intercept form: y = mx + b

-9x - 6y = 8
-6y = 9x + 8
y = -9/6 - 8/6
y = -3/2 - 4/3

A line perpendicular to this would have a slope that is the negative reciprocal of the first slope. So, just flip the numerator and denominator and change to the opposite sign.

-3/2 becomes 2/3 (new slope)

A line parallel to this would have the same slope (-3/2).

Pls help it’s algebra 1

Pls help its algebra 1

Answers

Answer:

Y+1=-1/2(x-4) the very bottom choice trust me its in point slope form and since the 1 is negative it turns into a positive for the equation and adds to the Y

Step-by-step explanation:

Craig decides to purchase a property that has been valued at $475,000. He has $80,000 available as a deposit and will require a mortgage for the remaining amount. The bank offers him a 25 year mortgage at 2% interest. Calculate the total interest he will pay over the life of the loan, assuming he makes monthly payments. Give your answer in dollars to the nearest ten dollars. Do not include commas or the dollar sign in your answer.

THE REAL ANSWER IS $107, 270


First, we note that Craig requires a mortgage on $475,000−$80,000=$395,000. To calculate the monthly repayments we must apply the formula for P0 and solve for d, that is,
P0=d(1−(1+rk)−Nk)(rk).
We have P0=$395,000,r=0.02,k=12,N=25, so substituting in the numbers into the formula gives
$395,000=d(1−(1+0.0212)−25⋅12)(0.0212),
that is,
$395,000=235.9301d⟹d=$1,674.22.
Therefore the total interest payable is
I=$1,674.22×25×12−$395,000=$107,266
which is $107,270 to the nearest $1

Answers

The total interest is $107,270

What is monthly payment formula?

The formula for monthly payment is:

\(M = \frac{P(\frac{r}{12})( 1+\frac{r}{12})}{( 1+\frac{r}{12})^n-1}\)

We can find total interest as shown below:

Value of property = $475,000

Money available as a deposit = $80,000

P = 475,000-80,000

= 395000

t = 25 year

r = 2% = 0.02

n = 25*12 = 300

\(M = \frac{P(\frac{r}{12})( 1+\frac{r}{12})}{( 1+\frac{r}{12})^n-1}\)

Putting the value of P, t, r, and n in the above formula

\(=\frac{395000(\frac{0.02}{12} )(1+\frac{0.02}{12}) }{(1+\frac{0.02}{12})^{300}-1}\)

after solving the above expression

M = $1674.22

Interest = M*n-P

Putting the value of P, n and M

= 1674.22*300-395000

= 502266-395000

= 107,266

Rounding to nearest ten dollar

= $107,270

Hence, the total interest is $107,270.

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Answer:

Step-by-step explanation:

Craig decides to purchase a property that has been valued at $475,000. He has $80,000 available as a

A bag is filled with an equal number of red, yellow, green, blue, and purple marbles. The theoretical probability of Jonah drawing 2 red marbles from the bag with replacement is one fifth. If the experiment is repeated 100 times, what is a reasonable prediction of the number of times he will select 2 red marbles?

one fifth
5
20
25

Answers

Answer:

20

Step-by-step explanation:

The theoretical probability of drawing 2 red marbles from the bag with replacement is one-fifth, which means that the probability of drawing 2 red marbles in any one trial is 1/5 or 0.2.

The number of times Jonah is expected to select 2 red marbles in 100 trials can be predicted using the expected value formula:

Expected value = (Number of trials) x (Probability of success in one trial)

Expected value = 100 x 0.2

Expected value = 20

Therefore, a reasonable prediction of the number of times Jonah will select 2 red marbles in 100 trials is 20. Therefore, the answer is 20.

Answer: 20 i took the test

Step-by-step explanation:

Help me, please! THIS IS URGENT.

Help me, please! THIS IS URGENT.

Answers

Answer: -56

Step-by-step explanation:

explanation. is s0 co cowers

Manny borrowed $800 at 10% annual interest. How much interest did he owe in one year?

Answers

Answer:

80

Step-by-step explanation:

I dont know this one. Please help

I dont know this one. Please help

Answers

The line that would appear parallel to HG and would go through point D, is DC.

What are parallel lines?

When describing parallel lines, we describe two lines in the same plane that are equally spaced apart and never cross each other. Both horizontal and vertical shapes are possible.

The only line that would go through point D and would be parallel to line HG, would therefore be Line DC. This is because this line is equally spaced from line HG and would never cross it.

In conclusion, line DC would be parallel to line HG.

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Select the correct answer from each drop-down menu.

The total area of the three triangles is
square units.
The area of the figure is
square units.

Answers

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Select the correct answer from each drop-down menu.The total area of the three triangles is square units.The

A Realtor claims that no more than half of the homes he sells are sold for less than the asking price. When reviewing a random sample of 14 sales over the past year, he found that actually 10 were sold below the asking price.

Required:
a. The assumption of normality is justified.
b. Calculate a p-value for the observed sample outcome, using the normal distribution.
c. At the 0.05 level of significance in a right-tailed test, is the proportion of homes sold for less than the asking price greater than 50%?

Answers

C is the answer I think

Write and solve an equation to find the value of x.

Write and solve an equation to find the value of x.

Answers

The value of x for each item is given as follows:

28. x = 5.

29. x = 3.44.

How to obtain the value of x in each item?

For item 28, we apply the crossing chord theorem, which states that the products of the parts of the chords are equal, hence the value of x is obtained as follows:

16x = 10 x 8

16x = 80

x = 5.

For item 29, we apply the two secant theorem, hence the value of x is obtained as follows:

10(x + 10) = 12(12 + 25)

10x + 100 = 444

10x = 344

x = 3.44.

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Helpppppppopooppp pleassseee

Helpppppppopooppp pleassseee

Answers

Answer:

point p. ok. vrvxfff77t.

Help me with 6 and 7

Help me with 6 and 7

Answers

Answer:

6 b 7 d give me brainlest

Step-by-step explanation:

-6•f (-3) - 5•g (-7) =

please help.

-6f (-3) - 5g (-7) =please help.

Answers

Answer:

  -12

Step-by-step explanation:

The value of f(-3) is found by finding the point on the solid blue graph where x = -3. That point has a y-value of -3, so f(-3) = -3.

The value of g(-7) is found by finding the point on the dashed purple graph where x = -7. That point has a value of 6, so g(-7) = 6.

Putting these numbers into your expression gives ...

  -6(-3) -5(6) = 18 -30 = -12

Divide 3 2/3 ÷ 2 1/3. Simplify the answer and write it as a mixed number.

Answers

Answer:

The answer is \(1 \frac{4}{7}\)

Step-by-step explanation:

First, you convert \(3 \frac{2}{3}\) to an improper fraction. That is \(\frac{11}{3}\). Do the same for the other number.

Next, use KFC, or Keep, Flip, Change.

Keep the first number

Flip the second

Change the operation. Division becomes Multiplication. You should've gotten \(\frac{11}{3}\)x\(\frac{3}{7}\).

You can simplify now. You would've gotten 11 * \(\frac{1}{7}\). Multiply and you would get \(\frac{11}{7}\). Simplify into a mixed number. The answer is \(1 \frac{4}{7}\).

evaluate the expression 3 to the third power multiplied by 12-2 divided by 2 iready

Answers


Divide 2 by 2 to get 1.

33 x 12-1

Calculate 3 to the power of 3 and get
27.

27x 12-1

Multiply 27 and 12 to get 324.

324 — 1

Subtract 1 from 324 to get 323.

323




Complete the table representing a linear function

Complete the table representing a linear function

Answers

Answer:

10 ; 10

Step-by-step explanation:

( 1 , 0 )

( 5 , 40 )

m = \(\frac{40-0}{5-1}\) = 10

y = 10x - 10

( 2 , 10 )

( 10 , 90 )

If Csc(x)=-2 , what is Cot (x/2)?
Do you know how to do it on a calculator using 1/sin(x) and 1/ tan(x)?

Answers

The value of cot(x/2) is -3.73

What are trigonometric ratios?

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Given that, Csc(x) = -2

Since,

cscx = 1/sinx

Therefore,

1/sinx = -2

sinx = -1/2

sinx = -sin30°

x = -30°

Therefore,

cot (x/2) = cot(-15)

= -1/tan15

= -3.73

Hence, the value of cot(x/2) is -3.73

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What is the meaning of "Lagrange’s theorem"?

What is the meaning of "Lagranges theorem"?

Answers

The Lagrange’s theorem is explained below.

Lagrange’s theorem :-

Lagrange theorem states that the order of the subgroup H is the divisor of the order of the group G.

If G is a group of finite order m, then the order of any a ∈ G divides the order of G and in particular am = e.

If the order of finite group G is a prime order, then it has no proper subgroups.

Lagrange theorem states that the order of the subgroup H is the divisor of the order of the group G.

This can be represented as;

|G| = |H|

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Alice wants to use the stack method to pay down her debts listed in the table below. If she applies an extra $150 a month to her debts, what will be the first debt she targets to pay off and what will be the monthly amount she applies to it?

Debts Interest Rate Minimum Monthly Payment
Debt 1 5.5% $75
Debt 2 2.75% $250
Debt 3 13.25% $150
Alice wants to use the stack method to pay down her debts listed in the table below. If she applies an extra $150 a month to her debts, what will be the first debt she targets to pay off and what will be the monthly amount she applies to it?

Debts Interest Rate Minimum Monthly Payment
Debt 1 5.5% $75
Debt 2 2.75% $250
Debt 3 13.25% $150

Alice wants to use the stack method to pay down her debts listed in the table below. If she applies an

Answers

The first debt that Alice would have to pay based on the Stack method would be the third debt. Option C

How to calculate the debt using the stack method

From the stack method, the debt that Alice would have to pay off first would be the debt that has the highest interest rate.

The amount of 150 dollars would then be added to the debt that has the second highest rate.

Hence the amount of debt that would be paid off first would be the first debt based on the stack method.

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