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

Simplify the expression (x)^3(x^3y)^2

A) x^9y^2

B) -x^6y^2

C) x^5y^2

D) -x^9y^2

Answers

Answer:

A)

Step-by-step explanation:

[tex](a^{m})^{n} = a^{mn}\\\\x^{3}*(x^{3}*y^{2})^{2}=x^{3}*(x^{3})^{2}*(y)^{2}\\\\\\=x^{3}*x^{3*2}*y^{2}\\\\\\=x^{3}*x^{6}*y{2}\\\\\\=x^{3+6}*y^{2}\\=x^{9}y^{2}[/tex]

1 - Os coeficientes numéricos de uma equação do 2º grau (ax² + bx + c = 0), são números reais representados pelas letras “a, b e c”. Para que uma equação do 2º grau possa existir, é necessário que o coeficiente “a” seja DIFERENTE de: * 1 ponto a) -2 b) -1 c) 0 d) 1 2) Usando o método de Tentativa e Erro, visto na aula, qual das alternativas abaixo representa uma raiz da equação: x²-5x+6=0 * 1 ponto a) x = 0 b) x = 1 c) x = 2 c) x = -2

Answers

Answer:

1) La opción correcta es;

c) 0

2) La opción correcta es;

c) x = 2

Step-by-step explanation:

1) La forma general de una ecuación cuadrática se puede escribir en la forma;

a · x² + b · x + c = 0

Dónde;

a, y b son los coeficientes de x², x y c es el término constante

Por tanto, para que exista un polinomio de 2º grado es necesario que el coeficiente a sea diferente de 0

De lo que tenemos;

(0) × x² + b · x + c = 0, lo que da;

(0) × x² + b · x + c = b · x + c = 0 que es una ecuación lineal o un polinomio de primer grado

Por tanto, la opción correcta es c) 0

2)

La ecuación dada se presenta como sigue;

f (x) = x² - 5 · x + 6 = 0

Usando el método de prueba y error, tenemos;

Cuando x = 0

f (0) = 0² - 5 · (0) + 6 = 6 que no es igual a 0 y, por lo tanto, no es una solución

Cuando x = 1

f (1) = (1) ² - 5 · (1) + 6 = 1 que no es igual a 0 y por lo tanto, no es una solución

Cuando x = 2

f (2) = (2) ² - 5 · (2) + 6 = 0 que es igual a 0 y por lo tanto, es una solución

Cuando x = -2

f (1) = (-2) ² - 5 × (-2) + 6 = 20 que no es igual a 0 y por lo tanto, no es una solución

Por tanto, la opción correcta es c) x = 2

the circumference of a circle is 20 pi. what is the radius of this circle?

Answers

Answer: 10

Work Shown:

C = circumference = 20pi

d = diameter

C = pi*d

pi*d = 20pi

d = 20 after dividing both sides by pi

The radius is half the diameter, so r = d/2 = 20/2 = 10.

As an alternative, you can use the formula C = 2*pi*r

Using the circumference of the circle formula to solve the problem. Then the radius of the circle is 10 units.

What is a circle?

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Given

The circumference of a circle is 20π.

We know that the circumference of the circle is given by

[tex]\rm Circumference\ of\ the\ circle = 2\pi r[/tex]

Where r is the radius of the circle.

Then the radius of the circle will be

[tex]\begin{aligned} 20 \pi &= 2 * \pi * r \\r &= 10\end{aligned}[/tex]

Thus, the radius of the circle is 10 units.

More about the circle link is given below.

https://brainly.com/question/11833983

Find the term of each sequence.

32, 80, 200, ...5th term

Answers

Answer:

t5 = 1250

Step-by-step explanation:

Each term is derived by multiplying the previous term by 2.5

t2 = t1 * 2.5

t2 = 32 * 2.5

t2 = 80

===========

tn = a*b^(n - 1)

t3 = 32*2.5^2

t3 = 200

That's just to test the formula. It does work.

===============

t5 = 32*2.5^(5 -1)

t5 = 32*2.5^4

t5 = 1250

Find the exact value of cos A in simplest radical form.

Answers

Answer:

[tex] \cos(A) = \frac{2 \sqrt{6} }{7} [/tex]

Step-by-step explanation:

Since we are finding cos A we have

[tex] \cos(A) = \frac{AC}{AB} [/tex]

From the question

AC = √96

AB = 14

Substitute the values into the above formula

That's

[tex] \cos(A) = \frac{ \sqrt{96} }{14} [/tex]

We have the final answer as

[tex] \cos(A) = \frac{2 \sqrt{6} }{7} [/tex]

Hope this helps you

Axel has spent 25% of his money on a video game. If the price of the video game was $ 45, how much money did Axel have before the purchase?

Answers

Answer:

$180

Step-by-step explanation:

25% = 1/4

x/4 = 45

45*4 = 180

Axel had $180 dollars before he purchased the videogame.

Identify the relation that is not a function. weight of an apple to the apple's cost time of day to the temperature at that time weight of a person to a person's height phone number to a person's name

Answers

Answer: Weight of a person to a person's height

Let x = weight and y = height. It is possible to have a certain weight correspond to multiple heights. This means the input x has multiple output y values. Therefore, we cannot have a function here. A function is only possible if for any x input, there is exactly one y output. The x value must be in the domain.

Help, i just need the answers and no need for explanations.

Answers

Answer:

The equation of the quadratic function shown is;

x^2+ 2x -3

Step-by-step explanation:

Here in this question, we need to know the quadratic equation whose graph was shown.

The key to answering this lies in knowing the roots of the equation.

The roots of the equation are the solution to the quadratic equation and can be seen from the graph at the point where the quadratic equation crosses the x-axis.

The graph crosses the x-axis at two points.

These are at the points x = -3 and x = 1

So what we have are;

x + 3 and x -1

Multiplying both will give us the quadratic equation we are looking for.

(x + 3)(x-1) = x(x -1) + 3(x-1)

= x^2 -x + 3x -3 = x^2 + 2x -3

Waldnice!
8. I have a maximum/minimum thermometer in my greenhouse. It records the highest and
lowest temperatures reached since the time I reset it. I reset it on Sunday when the
temperature was 4°C. Overnight the temperature fell by 5°C. Then during Monday it rose by
6°C. before falling by 10°C during the night. On Tuesday it rose by 4°C and fell by 2°C
overnight.
What were the maximum and minimum temperatures recorded when I looked at the
thermometer on Wednesday morning?

Answers

Answer:

The maximum and minimum temperatures recorded by the thermometer when checked by Wednesday morning are 5°C and -5°C

Step-by-step explanation:

The given parameters are;

A maximum and minimum thermometer is used which records maximum and minimum values as follows;

Initial temperature on Sunday at the time of resetting the thermometer = 4°C

Temperature drop overnight = 5°C, new low = 4 - 5 =  -1°C,

Temperature rise on Monday = 6°C. New high = -1 + 6 = 5°C

Temperature drop on Monday night = 10°C. New low = 5 - 10 = -5°C

Temperature rise on Tuesday = 4°C = New high = 4 + - 5 = -1°C

Temperature drop on Tuesday night = 2°C. New low = -1 - 2 = -3°C

Therefore, the maximum and minimum temperatures recorded by the thermometer when checked by Wednesday morning are 5°C and -5°C.

Evaluate 5(14 - 2³) +8 ÷ 2.? Plz help me, will mark you as brainliest A. 26 B. 34 C. 44 D. 56

Answers

Answer:

[tex]\large \boxed{\sf B. \ 34}[/tex]

Step-by-step explanation:

[tex]5(14 - 2^3 ) +8 \div 2[/tex]

[tex]\sf Solve \ brackets.[/tex]

[tex]2^3 =8[/tex]

[tex]5(14 - 8 ) +8 \div 2[/tex]

[tex]14-8=6[/tex]

[tex]5(6 ) +8 \div 2[/tex]

[tex]\sf Multiply \ and \ divide.[/tex]

[tex]5(6)=30[/tex]

[tex]8 \div 2 = 4[/tex]

[tex]30 +4[/tex]

[tex]\sf Add.[/tex]

[tex]34[/tex]

Answer: 34

Step-by-step explanation: It's very easy to make mistakes in order of operations problems if you try to do too much of the problem in your head.

It really is worth the extra time it takes to write out every step.

P  E  M  D  A  S

Parenthses

Exponents

Multiplication/Division

Addition/Subtraction

In this problem, simplify (14 - 2³) first

because it's located inside the parenthses.

2³ is 8 so our second step reads 5(14 - 8) + 8 ÷ 2.

14 - 8 is 6 so we have 5(6) + 8 ÷ 2.

Now multiplication and division are based on order of appearance.

Since multiplication comes first, we do it first.

5(6) is 30 so we have 30 + 8 ÷ 2.

Now we can do the division.

8 ÷ 2 is 4 and we have 30 + 4 which is 34.

Harmony earns a \$42{,}000$42,000dollar sign, 42, comma, 000 salary in the first year of her career. Each year, she gets a 4\%4%4, percent raise.
Which expression gives the total amount Harmony has earned in her first nnn years of her career?

Answers

Answer:

FV(n)=42,000(1.04)^n

Step-by-step explanation:

FV=PV(1+r/n)^nt

Where

FV=future value

PV=present value

r=interest rate

n=number of periods

t=time (years)

PV=42,000

r=4%=0.04

n=1

t=n

FV(n)=p(1+r/n)^nt

=42,000(1+0.04/1)^1*n

=420000(1+0.04)^n

=42,000(1.04)^n

FV(n)=42,000(1.04)^n

Answer:

42000(1-1.04^n/-0,04)

Step-by-step explanation:

Make the biggest possible number using the digits below only once 3 , 1 , 3 answer

Answers

Answer:

331 the biggest possible number

Solve. 100+[12×{20−(10÷5)}]

Answers

2000. This means yes I am not home now baby I’m sorry baby I’m just

Answer:

316

Step-by-step explanation:

SP=2x+3, and LN=5x−14. Find SP. A. 20 B. 86 C. 43 D. 50

Answers

Answer:

C

Step-by-step explanation:

A segment joining the midpoints of two sides of a triangle is half the length of the third side.

SP is a midline segment, thus

SP = [tex]\frac{1}{2}[/tex] LN , that is

2x + 3 = [tex]\frac{1}{2}[/tex] (5x - 14) ← multiply both sides by 2

4x + 6 = 5x - 14 ( subtract 4x from both sides )

6 = x - 14 ( add 14 to both sides )

20 = x

Thus

SP = 2x + 3 = 2(20) + 3 = 40 + 3 = 43 → C

Use the first four terms of the binomial theorem to approximate 2.2^7

A. 248.96
B. 248.4688
C. 23.424
D. 249.4357888
please explain the steps to how you got your answer thank you!!

Answers

The answers is choice d .

Answer:

248.96.

Step-by-step explanation:

We write  it as:

(2 + 0.2)^7 = 2^7 + 7*2^6*0.2 + 7C2*2^5*(0.2)^2 + 7C3*2^4(*(0.2)^3

= 128 + 89.6 + 26.88 + 4.48

= 248.96.

5. Eight adults and six children travel in a cable car.
Estimate the total mass of the people in the cable car.​

Answers

Answer: 1880 pounds

Step-by-step explanation: when you take the average adult weight, around 160 lbs. you multiply that by eight. you get 1280. then you estimate that each of the children weigh around 100 lbs, then you add 600 to 1280 and get 1,880 lbs

Please help me with this

Answers

verifying, by putting [tex] \theta=60^{\circ}[/tex]

LHS≠RHS

hence the question is FALSE

Em um posto de combustível, o litro da gasolina estava custando R$2,40.Um cliente gastou R$72,00 para encher o tanque de seu carro. O valor do litro da gasolina sofreu 2 aumentos sucessivos,ambos de 10%. Quando o mesmo cliente gastara para encher o tanque do seu carro, após esees aumentos

Answers

Answer:

english i think u need hekp

find the perimeter of a square of length of 5cm​

Answers

Answer:

20cm

Step-by-step explanation:

If each side of the square = 5 cm, 5 cm times 4 sides = 20 cm.

Answer:

P=20cm

Step-by-step explanation:

To find the perimeter of a square, you just add all the four sides.

Because it says the sides are 5cm, and squares always have the same length, you just:

5+5+5+6=20cm

So, the perimeter of this square is 20cm.

Hope this helps, and have a nice day:)

△ABCis reflected to form​​ ​△A′B′C′​. The vertices of △ABC are A(-1, 3), B(2, 4), and C(-5, 6). The vertices of △A′B′C′ are A′(3, −1), B′(4, 2), and C′(6, −5). Which reflection results in the transformation of ​△ABC​​ to ​△A′B′C′​​? Reflection across the x-axis reflection across the y-axis reflection across y = x reflection across y=−x

Answers

Answer:

reflection across y = x

Step-by-step explanation:

Transformation is the movement of a point from its initial position to a new position. If a shape is transformed, all its point are also transformed. Types of transformation is reflection, rotation, transformation and dilation.

If a point is reflected across the x axis, the x coordinate is the same but the y coordinates is negated. If X(x, y) is reflected across the x axis the new point is X'(x, -y)

If a point is reflected across the y axis, the y coordinate is the same but the x coordinates is negated. If X(x, y) is reflected across the y axis the new point is X'(-x, y)

If a point is reflected across y = x, the x coordinate and y coordinates are interchanged. If X(x, y) is reflected across the y=x axis the new point is X'(y, x)

If a point is reflected across y = -x, the x coordinate and y coordinates are interchanged and both negated. If X(x, y) is reflected across the y=ix axis the new point is X'(-y, -x)

The vertices of △ABC are A(-1, 3), B(2, 4), and C(-5, 6). The vertices of △A′B′C′ are A′(3, −1), B′(4, 2), and C′(6, −5). The reflection of △ABC to form​​ ​△A′B′C′ shows a reflection across x axis since the x and y coordinates are interchanged

Answer:

reflection across y = x

Step-by-step explanation:

are you allowed to simplify a fractional exponent when you are rewriting radicals to have a radical exponent? for example, [tex]\sqrt[8]{y^{2} }[/tex] is written as y^2/8 , but are you allowed to simplify the 2/8 to 1/4?

Answers

Answer:

This is true

Step-by-step explanation:

Yes when you make a radical into a power you can simplify the power, like you are saying.

Show that 12.34343434………………can be expressed in the form p/q​

Answers

Answer:

1222/99

Step-by-step explanation:

12.343434.. =

= 12.(34)

= 12 34/99

= (12*99+34)/99

= (1188+34)/99

= 1222/99

HELP ME PLZZzzzzzzzz​

Answers

Answer:

5 cm

Step-by-step explanation:

The volume (V) of milk in the container is calculated as

V = 8 × 15 × 12 = 480 cm³

After change of position with depth d then

8 × 15 × d = 480

120d = 480 ( divide both sides by 120 )

d = 4 cm

Samantha’s college runs on a trimester schedule so she receives a bill 3 times a year for tuition. Each trimester costs $1,450, and Samantha must complete 2 years of college to receive her degree. The average cost for books each trimester is $350. Approximately what will be the total cost for Samantha to get her degree?

Answers

Answer:

10800

Step-by-step explanation:

1 trimesters cost = 1450 + 350  $

2 year -> 6 trimester

1800$ x 6 = 10800 $

PLEASE HELP ME I GIVE 5 STARS !

Answers

Answer:

It's the 2nd option 2*2*3*3*5

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

you find a square root that goes into 180. i did 4 times 45. when you break apart 4 you get two times two. when you break apart 45 to get another square root, you get 9 times 5. when you break down 9 you get 3 and 3. so it is 2 times 2 times 3 times 3 times 5


A shipping company borrows $70 million at 5% p.a. compound interest to build a new cruise ship. If it repays the debt after 3 years, how much interest will the company pay?

Answers

Answer:

about 11.03 million

Step-by-step explanation:

Use the equation I = P(1+r/100)^n - P (I is the compound interest, P is the principle, r is the rate percent, and n is the number of years):

Substitute the values given:

I = 70,000,000(1 + 5/100)^3 - 70,000,000

Use a calculator to solve and you will get ~11.03 million.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

The interest the company paid is $11 million.

What is compound interest?

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

P = $70 million

r = 5%

t = 3 years

n = 1

A = 70 ( 1 + 0.05)³

A = 70 ( 1.05)³

A = 70 x 1.05 x 1.05 x 1.05

A = $81 million

The amount of interest.

= A - P

= 81 - 70

= $11 million

Thus,.

The interest the company paid is $11 million.

Learn more about compound interest here:

https://brainly.com/question/13155407

#SPJ2

The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 + z2 + z – 24.

Answers

The product of (4z² + 7z – 8) and (–z + 3) is -4z³ + 5z² + 29z - 24

How to find product of expressions

(4z² + 7z – 8) and (–z + 3)

= -4z³+ 12z² - 7z² + 21z + 8z - 24

collect like terms

= -4z³ + 5z² + 29z - 24

Therefore, the product of (4z² + 7z – 8) and (–z + 3) is -4z³ + 5z² + 29z - 24

Learn more about product:

https://brainly.com/question/10873737

#SPJ2

Please answer this question now

Answers

Answer:

Surface area of a cone = 461.58 In²

Step-by-step explanation:

Surface area of a cone = πrl + or

Surface area of a cone = πr(r+l)

Where r = radius

Radius= diameter/2

Radius=14/2

Radius= 7 inch

And l slant height= 14 inch

Surface area of a cone = πr(r+l)

Surface area of a cone = π*7(7+14)

Surface area of a cone = 7π(21)

Surface area of a cone = 147π

Surface area of a cone = 461.58 In²

Write each expression using a positive exponent. ("/" means division)("^" means to the power of) 9^-4

Answers

Answer:

Step-by-step explanation:

[tex]9^{-4}[/tex]

=[tex]\frac{1}{9^{4} }[/tex]                   ∴     [tex]x^{-n} = \frac{1}{x^{n} }[/tex]

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

=[tex]\frac{1}{6561}[/tex]

write 1,245 in word form

Answers

Answer:

One thousand two hundred and forty five.

Hope this helps! (づ ̄3 ̄)づ╭❤~

Step-by-step explanation:

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The price that will show on the tape is: Please answer this question now Determine the gradient and the co-ordinates of the x and y intercept of line whose equation is 2y + 3x = 1 Los jornales de dos obreros suman S/.60. Si uno de ellos gana S/.12ms que el otro. Cunto ganan cada uno de ellos?