Consider the two points (1, 6) and (4, 48).

a. Is there a line that goes through these two points? How do you know? If there is one, what is the equation of the line going through these

Answer:

y = 8/3(x) + 9

Step-by-step explanation:

The general equation of a straight line is slope intercept form is;

y = mx + b

where m is the slope and b is the y-intercept

To get the slope, we use the slope equation

we have this as:

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

(x1,y1) = (-6,-7)

(x2,y2) = (-3,1)

m = (1+7)/(-3 + 6) = 8/3

so we have the equation as;

y = 8/3(x) + b

to get the value of b, we make use of any of the two points

We substitute the coordinates of the two points into the equation

Let us use the point (-3,1)

Thus;

1 = 8/3(-3) + b

1 = -8 + b

b = 1 + 8

b = 9

So the full equation is;

y = 8/3(x) + 9

Answer:

I think it's either Wednesday or Sunday.

Step-by-step explanation:

Answer: the answer is d Wednesday.

Step-by-step explanation:

hope this helped ya bro! have a good day! :)

Answer:

x = 1.5, y = 2

Step-by-step explanation:

Cuando tenemos un sistema de ecuaciones lineales, para resolverlo gráficamente simplemente debemos graficar ambas líneas y ver en que punto las líneas se interceptan.

En este caso, tenemos las líneas:

y = 4*x - 4

2*x + y = 5

El primer paso puede ser escribir ambas líneas en forma estándar, así será más fácil graficarlas.

Para ello, aislamos y en ambas ecuaciones:

y = 4*x - 4

y = 5 - 2*x

Ahora que tenemos ambas líneas debemos graficarlas en un mismo eje de coordenadas, y buscar el punto en donde ambas líneas se interceptan.

Un gráfico de este sistema se puede ver abajo:

Viendo el gráfico, podemos estimar que la solución del sistema es el punto:

(1.5, 2)

Es decir, la solución es:

x = 1.5

y = 2

Solamente para ser completos, también podemos resolver el sistema analíticamente y ver si la solución que encontramos gráficamente es aceptable.

Para ello escribimos el sistema:

y = 4*x - 4

y = 5 - 2*x

Como y esta aislada en ambas ecuaciones, tendremos:

4*x - 4 = y = 5 - 2*x

4*x - 4 = 5 - 2*x

Ahora podemos resolver esto para x.

4*x + 2*x = 5 + 4

6*x = 9

x = 9/6 = 3/2 = 1.5

Remplazando este valor de x en cualquiera de las dos líneas obtendremos el valor de y de la solución:

y = 4*x - 4 = 4*1.5 - 4 = 6 - 4 = 2

Así probamos analíticamente que la solución es x = 1.5, y = 2.

Answer:

58b - 36

Step-by-step explanation:

-11b + 15 + 69b - 51

combine 'like terms' to get:

58b - 36

Answer:

9:8

Step-by-step explanation:

According to the word problem, Joe has 6 frogs, 8 hamsters, 9 goldfish, and 3 snakes.

The question is asking the ratio of Joe's frogs AND snakes TO hamsters.

To find out the ratio of frogs and snakes, add how many frogs there are to how many snakes there are.

6 + 3 = 9.

The last part of the equation should be obvious.

There are 8 hamsters.

Therefore, the ratio of Joe's frogs and snakes to hamsters is 9:8.

Answer:

A)

this is a corect answer for this question:)

Answer:

1/12 a mile

Step-by-step explanation:

Answer:

B. 1/12 is the right answer because you have to times the fraction by the reciprocal because you can't divide a fraction. So, you do 1/3 *1/4 = 1/12

Step-by-step explanation:

have a good day/night

may i please have a branlliest

Answer:

45 minutes

Step-by-step explanation:

this is an over-estimate and the reason is 200/5=40 the closest one is actually 45 minutes

Answer: 2

4

−

3

3

+

7

2

−

4

Step-by-step explanation:

Answer:  -17

Step-by-step explanation:

2*-2^4-3*-2^3+2*-2^2-4-2+5= ?

2*-16-3*-8+2*-4-4-2+5 = ?

-32+24-8-4-2+5

-8-12+3

-20+3

-17

:>

Answer:

50.27

Step-by-step explanation:

Give me Brainllest

Answer:

x=45°

Step-by-step explanation:

180-90=90

Hence, there is 2 x so 90/2=45

Answer:

x = 45°

Step-by-step explanation:

here's your solution

=> we know that sum of all angles of traingle = 180°

=> x° + x° + 90° = 180°

=> 2x + 90° = 180°

=> 2x = 180° - 90°

=> 2x = 90°

=> x = 90°/2

=> x = 45°

hope it helps

O valor de f(-4) é a opção  D

Answer:

C. 5 units

Step-by-step explanation:

look at the graph to the left

this seems too easy so I'm probably wrong but thats how I read the question

Answer:

Step-by-step explanation:

Proportion of type O donors = 37/(37+43) = 37/80

300 × 37/80 = 138.75

139 donors out of 300 are type O.

A ratio shows us the number of times a number contains another number. The number of type O donors out of 300 is 139.

A ratio shows us the number of times a number contains another number.

Given that the ratio of type O to non-type O donors at a blood drive was 37:43. Therefore, the number of type O blood donors be represented by 37x and the number of non-type O blood donors be represented by 43x.

Now, the sum of type and non-type O donor is 300. Therefore, we can write,

37x + 43x = 300

80x = 300

x = 3.75

Further, the Number of type O donors out of 300 can be written as,

Number of type O donors out of 300 = 37x = 37(3.75) = 138.75 ≈ 139

Hence, the number of type O donors out of 300 is 139.

Learn more about Ratios here:

https://brainly.com/question/1504221

#SPJ2

Answer:

The evidence is the statement made in the document where it was said: "You will be beaten but you must not resist; you must not even raise a hand to ward off any blows"

Step-by-step explanation:

The document has been attached. It was from the march by gandhi's followers to the dharasana salt works.

From the document attached, the evidence that they were disciplined is where it was said: "You will be beaten but you must not resist; you must not even raise a hand to ward off any blows"

(a) v appears to have a fixed direction along the positive x-axis. If ||u|| = 150 N, ||v|| = 220 N, then when θ = 30°, you have

u = (150 N) (cos(30°) i + sin(30°) j ) ≈ (129.904 i + 75 j ) N

v = (220 N) (cos(0°) i + sin(0°) j ) = (220 i ) N

(i and j are the unit vectors in the positive x and y directions)

and their sum is

u + v ≈ (349.904 i + 75 j ) N

with magnitude

||u + v|| ≈ √((349.904)² + (75)²) N ≈ 357.851 N ≈ 357.9 N

and at angle φ made with the positive x-axis such that

tan(φ) ≈ (75 N) / (349.904 N)   →   φ ≈ 12.098° ≈ 12.1°

(b) Letting θ vary from 0° to 180° would make v a function of θ :

u = (150 N) (cos(θ) i + sin(θ) j ) = (150 cos(θ) i + 150 sin(θ) j ) N

Then

u + v = ((220 + 150 cos(θ)) i + (150 sin(θ)) j ) N

→   M = ||u + v|| = √((220 + 150 cos(θ))² + (150 sin(θ))²) N

M = √(48,400 + 66,000 cos(θ) + 22,500 cos²(θ) + 22,500 sin²(θ)) N

M = 10 √(709 + 660 cos(θ)) N

(c) As a function of θ, u + v makes an angle α with the positive x-axis such that

tan(α) = (150 sin(θ) / (220 + 150 cos(θ))

→   α = tan⁻¹((15 sin(θ) / (22 + 15 cos(θ)))

(d) Filling in the table is just a matter of evaluating M and α for each of the given angles θ. For example, when θ = 0°,

M = 10 √(709 + 660 cos(0°)) N = 370 N

α = tan⁻¹((15 sin(0°) / (22 + 15 cos(0°))) = 0°

When θ = 30°, you get the same result as in part (a).

When θ = 60°,

M = 10 √(709 + 660 cos(60°)) N ≈ 323.3 N

α = tan⁻¹((15 sin(60°) / (22 + 15 cos(60°))) = 23.8°

and so on.

Answer:

The vertex is (-2,5). And the y intercept of the graph is (0,-7)

Step-by-step explanation:

Answer:

I don't give answers sorry.

Step-by-step explanation:

What you would do is take 1 and subract the two probabilites from it. The equation should be [tex]1-\frac{1}{3} -\frac{2}{5}[/tex]. You can find a common denominator by making it both 15.

Answer:

4

Step-by-step explanation:

12 ÷ 2 which is 6 then 6-2 which is 4

Answer:

FV= $3,846.11

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,000

Number of periods (n)= 5*4= 20 semesters

Interest rate (i)= 0.05/4= 0.0125

To calculate the Future Value, we need to use the following formula:

FV= PV*(1 + i)^n

FV= 3,000*(1.0125^20)

FV= $3,846.11

Answer:

D. 48 cm

Step-by-step explanation:

Cylinder Volume:

V=πr^2h

V≈452.39

Cone Volume:

V=πr^2(h/3)

452.39 = pi(3)^2(h/3)

452.39 = pi x 9 x (h/3)

452.39 = 28.26 x (h/3)

/28.26      /28.26

16.008138712 = (h/3)

x 3                      x 3

h = 48.0244161359

h = 48 cm

Answer:

그 기 = That Flag

키 = Key

I think it is 112.

Step-by-step explanation:

Answer:

are you in 8B

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

let 'x' = BD

x/3 = 12/x

x² = 36

x = [tex]\sqrt{36}[/tex]

x = 6

Answer:

See attached image.

Step-by-step explanation:

[tex]\ln{x} \ge 3[/tex]

To solve for x, use the exponential function e^x (it's the inverse of the ln function).

[tex]e^{\ln{x}} \ge e^3\\x \ge e^3[/tex]

A calculator gives the approximation 20.09

Answer:

3.625

Step-by-step explanation:

ur welcome!