Write the equation of the line that passes through the points (7, 2) and (4, -9). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer 1

if you were to use the first ordered pair, your answer would be y - 2 = 11/3(x-7) and with the second ordered pair : y + 9 = 11/3(x-4


Related Questions

Please help!!!! Tell me whether it’s a equation or not pleasr

Answers

This answer is a equation, my teacher told me this

4. Find the scale factor using the given scale drawing and measurements below.

Answers

Answer:

Actual=3cm

Scale=5cm

3x=5

3/3x=5/3

X=5/3

The scale factor is 5/3

Pa help po pleass po

Answers

Answer:

Refer to the attachment

the scale on a map says that 3 cm represents 12 km what is the actual number of km represented by 5 cm on the map

A. 1.5 km

B. 2.4 km

C. 60 km

D 20 km​

Answers

2.4 please follow mee i think this is answer

8.618 divided by 0.695

Answers

Answer:

8.618 divided by 0.695= 12.4

hope this helps <3

helppppp pleaseeee ill literally do anything!!!!!!!!!!!!!!!

Answers

Answer:

33ft^2

Explanation:

surface area of square pyramid equation:  [tex]A = a^2 + 2a\sqrt{\frac{a^2}{4} +h}[/tex]

A = 34.63, so none of the answers shown are really it.

A moderately active man weighing 175 pounds should consume no more than 687 calories per day from fat sources. If fat contains 9 calories per gram, what is the maximum number of grams of fat he should consume? Give me a whole number or decimal rounded to one decimal place. Thanks! Expert only please.

Answers

Answer:-

According to the question, therefore, the maximum number of grams of fat he should consume will be 76.3 grams.

Step-by-step explanation:-

Directly divide 687 by 9 as both are fat content. Therefore, by dividing them, we get to know about how grams of fat can be consumed.

✍️ By Benjemin

Can someone help me please :)

Answers

9514 1404 393

Answer:

  (d)  y = 2×7^x

Step-by-step explanation:

If you try x=2 in each of the expressions, you find only one of the gives 98 as the value.

  a) 14^2 = 196

  b) 7×2^2 = 28

  c) 2^(7×2) = 2^14 = 16,384

  d) 2×7^2 = 2×49 = 98 . . . . . . . correct answer choice

__

Alternatively, you can recognize that the x-values in the given (x, y) pairs differ by 1, so the ratio of y-values will be the base of the exponential term:

  98/14 = 7

so you're looking for something of the form 7^x. That would be ...

  y = 2×7^x

__

In more general terms, consider

  y = ab^x

If you have x=1 and x=2, then this will be ...

  y1 = ab^1 = ab

  y2 = ab^2

Dividing the second by the first gives ...

  y2/y1 = (ab^2)/(ab) = b . . . . . . . general solution when x-values differ by 1

  98/14 = b = 7

From the x=1 case, we have ...

  14 = 7a   ⇒   a = 2

  y = 2·7^x

3x+2=23
Please show steps on how to do.

Answers

Answer:

x = 7

Step-by-step explanation:

3x+2=23

Subtract 2 from each side

3x+2-2 = 23-2

3x = 21

Divide each side by 3

3x/3 = 21/3

x = 7

Answer:

[tex] \sf \: x = 7[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 3x + 2 = 23

Then the value of x will be,

→ 3x + 2 = 23

→ 3x = 23 - 2

→ 3x = 21

→ x = 21 ÷ 3

→ [ x = 7 ]

Hence, the value of x is 7.

El diseño de un sistema requiere instalación de 2 componentes iguales. El sistema completo funcionará si al menos 1 de los componentes funcionan,mientras que un sistema alternativo requiere cuatro de sus componentes funcionará si al menos 2 de sus componentes están funcionando.
La probabilidad de que un componente funcione de manera individual es de 0.9 y cada uno funciona de manera independiente. ¿cuál de los 2 diseños tienen mayor probabilidad de funcionar?

Answers

Usando la distribución binomial, se encuentra que el diseño de 4 componentes tiene mayor probabilidad de funcionar.

Para cada componente, solo hay dos resultados posibles. O están funcionando o no estan. La probabilidad de que un compoente estea funcionando es independiente de cualquier otro componente, lo que significa que se utiliza la distribución binomial para resolver esta cuestión.

Distribuición binomial:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Los parámetros son:

n es el número de ensayos. p es la probabilidad de éxito en un ensayo. x es el número de éxitos.

En este problema:

La probabilidad que un componente funcione es 0.9, o sea, [tex]p = 0.9[/tex].

Diseño de 2 componentes:

2 componentes implica que [tex]n = 2[/tex].

La probabilidad de funcionar es [tex]P(X \geq 1)[/tex], que es dada por:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

En que:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.9)^{0}.(0.1)^{2} = 0.01[/tex]

Entonces:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.01 = 0.99[/tex]

Diseño de 4 componentes:

4 componentes implica que [tex]n = 4[/tex].

La probabilidad de funcionar es [tex]P(X \geq 2)[/tex], que es dada por:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

En que:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.9)^{0}.(0.1)^{4} = 0.0001[/tex]

[tex]P(X = 1) = C_{4,1}.(0.9)^{1}.(0.1)^{3} = 0.0036[/tex]

Entonces:

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0001 + 0.0036 = 0.0037[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0037 = 0.9963[/tex]

[tex]0.9963 > 0.99[/tex], o sea, el diseño de 4 componentes tiene mayor probabilidad de funcionar.

Un problema similar es dado en https://brainly.com/question/25132113

If Greg purchased 6 cups of yellow paint for $54, what is the unit price per cup of yellow paint?

Answers

Answer:

The correct answer is 9.

Step-by-step explanation:

To get this solution, you would need to use division.

[tex]\frac{54}{6} = 9[/tex]

--

To be sure that the answer is correct, check your answer.

[tex]9*6 = ?[/tex]

[tex]9*5 = 45[/tex]

Since the easiest way to determine the multiple of 9 is 5, all you need to do is add another 9.

[tex]45+9=54[/tex]

--

**Remember: You are able to check if your answer(s) are correct in any way you are comfortable with.

Answer:

$9 per cup

Step-by-step explanation:

Let the unit price is x.

6 cups cost $54:

6x = 54x = 54/6x = 9

Find the slope of the line through each pair of points
(10, -14), (11,11)

Answers

Hello there! I can help you with joy! :)

If we have 2 points, then we can find the slope using this formula:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

y2=11

y1=-14

x2=11

x1=10

[tex]\frac{11-(-14)}{11-10}[/tex]

[tex]\frac{11+14}{1}[/tex]

25

Hope this helps you!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Dakota earned ​$7.50 in interest in Account A and ​$30.00 in interest in Account B after 18 months. If the simple interest rate is 2​% for Account A and 5​% for Account​ B, which account has the greater​ principal? Explain.

Answers

Answer:

account a

Step-by-step explanation:

deez nuuuuuuuts

suppose a varies directly as b, and a =8 when b =3 find b when a =24

Answers

Answer:

b=9

Step-by-step explanation:

since a varies directly as b,

a=kb

k=a/b

k=8/3

but when a=24, b will be given by

b=a÷k

b=24÷8/3, b=24×3/8

b=9

3. At the beach, you would like to fill 5 buckets with seashells. You have
8 minutes to do so. If you set a steady pace, how much of a bucket
should
you
fill in each minute?
A. bucket
B. į bucket
c. bucket
D. buckets

Answers

Answer: It will be D

Step-by-step explanation: 5 divided by 8 is 1.2

It would be D because 5 divided by 8 is 1.2

Solve the photo above ⬆️

Btw these one's are gonna be a bit more confusing for me, so expect me to atleast probably send 7 more ^^|l|l

Answers

Answer:

7¹⁰ :) hope this helps you!!

A home has a triangular backyard. The second angle of the triangle is 4º more than the
first angle. The third angle is 21° more than three times the first angle. Find the angles of
the triangular yard

Answers

Answer:

31, 114 and 35

Step-by-step explanation:

I set up the equation as such:

(3x + 21) + (x + 4) + x = 180

then I combined like terms:

5x + 25 = 180

And then solving for x I get:

5x = 155

x = 31

And then plugged the solved x value into the terms to give:

(3(31) + 21) = 114

(31 + 4) = 35

alongside the found angle of 31.

Answer:

[tex]31^{\circ}, 35^{\circ}, 114^{\circ}[/tex]

Step-by-step explanation:

Let the first angle be [tex]x[/tex]. Then, the second angle is [tex](x+4)^{\circ}[/tex] and the third angle is [tex](3x+21)^{\circ}[/tex].

We know that the sum of the angles in a triangle will always be [tex]180^{\circ}[/tex]. So, we want to solve the equation for x: [tex](x)+(x+4)+(3x+21)=180[/tex].

Combining like terms on the left side gives [tex]5x+25=180[/tex].

Subtracting [tex]25[/tex] from both sides gives [tex]5x=155[/tex].

Dividing both sides by [tex]5[/tex] gives [tex]x=31[/tex].

So, the first angle is [tex]31^{\circ}[/tex].

The second angle is [tex]x+4=31+4=35[/tex], so the second angle is [tex]35^{\circ}[/tex].

The third angle is [tex]3x+21=3(31)+21=93+21=114[/tex], so the third angle is [tex]114^{\circ}[/tex].

So, the angles are [tex]\boxed{31^{\circ}, 35^{\circ}, 114^{\circ}}[/tex] and we're done!

The check that these angles work is left as an exercise to the reader.

$56 for 25 gallons or $30.05 for 15 gallons

Answers

um what do you mean by that?

A scale drawing of an office space uses a scale of 1 in : 4 yd. The scale drawing has an area of 12 square inches.The area of the office space is ____ square yards

Answers

The scale factor of area of the drawing to the area of the office is the

square of the scale factor of the length of the drawing.

The area of the office space is 192 square yards.

Reasons:

The given parameters are;

1 inch in the scale drawing = 4 yd. in actual dimension

4 yd. = 144 inches

Therefore;

1 inch in the scale drawing = 144 inches in actual dimension

The scale factor of  length of the drawing, s = 1:144

The scale factor of area = s²

Therefore, we have;

[tex]\dfrac{Drawing \ area}{Actual \ area} =s^2[/tex]

Therefore, we have;

[tex]\dfrac{Drawing \ area}{Actual \ area} =\dfrac{12}{A} = s^2 = \left( \dfrac{1}{144} \right)^2[/tex]

Where;

A = The actual office space area

There fore;

12 × 144² = A × 1²

A = 12 × 144² = 248,832 in.²

1 yd.² = 1,296 in.²

[tex]248,832 \, in.^2 = \dfrac{248,832}{1,296} \, yd.^2 = 192 \, yd.^2[/tex]

The area of the office space is 192 square yards.

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https://brainly.com/question/17166840

A sweet potato casserole recipe calls for cup of flour for 4 servings. To serve 16 people, how much flour is needed?

Answers

Answer:

4 Cups of Flour

Step-by-step explanation:

A parabola can be drawn given a focus of (-9,6) and a directrix of x = -1. What
can be said about the parabola?

Answers

With the given focus of (-9,6) and directrix of x=-1 we know that the equation for this parabola would be :
-16x-80=(y+1)^2
The vertex would be :
(-5,-1)
Eccentricity 1
Axis of symmetry y=-1
x intercept (-8/16, 0)
No y intercept
And the graph pic of parabola is in attached pic

how do i solve this type of rational equation (x^2-16)/(4-x)

Answers

I thinks it’s -x-4 I’m not sure

3 1/4 as in improper fraction

Answers

Answer:

13/4

Step-by-step explanation:

3 lots of 4 = 12.

Add 1 from the existing numerator.

Therefore, answer is 13/4.

Hope this helps :)

13/4. Multiply the denominator by then the whole number, then add the numerator. Keep the denominator. I hope this helps:)

Find the volume of the composite solid. Round your answer to the nearest hundredth.​

Answers

700 cubic inches

Step-by-step explanation:

is known :

r = 5 inh = 9 in

V = πr²h

V = 3.14 · 5² · 9

V = 3.14 · 25 · 9

V = 78.5 · 9

V = 706.5 cubic inches → Round to the nearest hundredth

V ≈ 700 cubic inches

The Volume of Cylinder is 1271.7 in³.

What is volume of Cylinder?

The volume of a cylinder is the amount of space that it occupies. It is a measure of the total capacity or content enclosed by the cylindrical shape.

The formula for calculating the volume of a cylinder is:

Volume = πr²h

We have, Radius= 5 in

Height= 9 inch

So, the Volume of Cylinder

= πr²h

= 3.14 x 5 x 5 x 9

= 3.14 x 5 x 81

= 3.14 x 405

= 1271.7 in³

Thus, the Volume of Cylinder is 1271.7 in³.

Learn more about Volume of Cylinder here:

https://brainly.com/question/16788902

#SPJ2

The owner invested 18,400 in the company in exchange for its common stock. The company purchased 1,350 cash in supplies. The owner invested 11,700 of equipment for more common stock. The company purchased 370 of additional supplies on credit. The company purchased land for 10,700 cash

Answers

Answer:

Total expenses: $34,520

Money needed for profit: $34521

Is this a good idea: Not unless he is prepared for it to go under...

Step-by-step explanation:

Step by step please!

One-ninth of the candies in a bag of M&M's are red. If there are 16 red candies, how many M&M's are in the bag?

Answers

Answer:

21

I hope this helped I would appreciate brainliest if possible

Is (-12,8) a solution to 2x+y=40

Answers

Answer:

no it is not. the line crosses the x in 20, and crosses the y in 40

Find the missing length

Answers

Step-by-step explanation:

with the height in a right triangle, we get 3 right triangles (the original one, and the 2 on both sides of the height). all 3 of these triangles are similar to each other.

that means (among other things) the ratios of 2 sides of one triangle must be the same ratio of the corresponding sides in the other triangle.

x/64 = 36/x

x² = 36×64

x = sqrt (36×64) = 6×8 = 48

long story short, x is the geometric mean value of the segments of the Hypotenuse.

geometric mean value means the nth root of the product of n numbers.

in our case - square root out of 2 numbers (the segment lengths).

The perimeter of the rectangle below is 56 units. Find the length of side BC.
Write your answer without variables.
DC = 3x - 2 DA = 2x
BC = ?

Answers

Answer:

12 units

Step-by-step explanation:

Perimeter formula:

P = 2(l + w)

Given:

l = 3x - 2w = 2xP = 56

Find the value of x:

2(3x - 2 + 2x) = 565x - 2 = 285x = 30x = 6

BC is parallel side to AD and is:

BC = AD = 2*6 = 12

BC must parallel to DA hence equal

Now

2(Length+Breadth)=Perimeter2(3x-2+2x)=56(5x-2)=285x=30x=6

BC=2(6)=12units

Find the indicated Z score. The graph depicts the standard normal distribution with mean 0 And the standard deviation 1

The indicated Z score is what?

Answers

The indicated Z score according to the given graph will be z < -0.1635

The normal distribution has a mean-values between 0 and 1.

From the graph, we can see that zero is placed in the middle and the shaded portion is towards the left side of zero.

According to the number line, the numbers to the left-hand side of zero are always negative, hence the indicated Z score according to the given graph will be z < -0.1635

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