Answer:
Yes there is a line
y=14x-8
Step-by-step explanation:
use slope formula and incorporate the slope into the coordinates
Answer:
[tex]y = 14x - 8[/tex]
Step-by-step explanation:
. Using euclid postulate,
" any two points can be on a line".
So yes a line can be formed
Use the linear equation in ppont-slope form
[tex]y = mx + b[/tex]
where m is slope, b is the y intercept.
We can find the slope of the points first.
[tex]48 - 6 = 42[/tex]
[tex]4 - 1 = 3[/tex]
[tex] \frac{42}{3} = 14[/tex]
Our slope is 14.
We can plug in any two coordinates to find b.
[tex]14(1) - b = 6[/tex]
[tex] - b = - 8[/tex]
So our equation is
[tex]y = 14x - 8[/tex]
vertex and the y-intercept of the graph of the function .
y=-3(x+2)^2+5
Answer:
The vertex is (-2,5). And the y intercept of the graph is (0,-7)
Step-by-step explanation:
Please answer the question below (ABOUT VECTORS AND MAGNITUDE)
(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.
i need help with this question pleasee
Answer:
A)
this is a corect answer for this question:)
Ln x is greater than or equal to 3
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
divide 2x⁴-3x³+2x²-4x+5 by x-2
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
:>
An expression equivalent to (-11b+15)-3(-23b+17)?
Answer:
58b - 36
Step-by-step explanation:
-11b + 15 + 69b - 51
combine 'like terms' to get:
58b - 36
Cual es el mejor estimado de la solucion de lsistema de ecuciones lineales graficadas. y=4x-4 2x+y=5
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.
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 12
and AC = 15, what is the length of AB in simplest radical form?
Answer:
x = 6
Step-by-step explanation:
let 'x' = BD
x/3 = 12/x
x² = 36
x = [tex]\sqrt{36}[/tex]
x = 6
What evidence is there in the document that the marchers were disciplined
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"
Find the circumference of each circle. Use 3.14 or 22/7 for Pi. Round to the nearest tenth if necessary.
Answer:
50.27
Step-by-step explanation:
Give me Brainllest
A guitarist sets a goal to practice 200 minutes each week. If he only is going to practice 5 days during the week, which of the following amounts of average daily practice will allow him to reach his goal? Check all that is true.
15minutes, 25minutes, 30minutes, 45minutes, 60minutes
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
It takes 100 maple trees to make 20 gallons of maple
syrup. How many maple trees will it take to make one
gallon of syrup? Justify your reasoning.
ayo can yall help me plzzz
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! :)
plz help and yes i am lazy but helpppp
그 기 . 1 1 키 Which normal distribution has the greatest standard deviation? O O 80 88 104 112
Answer:
그 기 = That Flag
키 = Key
I think it is 112.
Step-by-step explanation:
Which statement is NOT always true?
Answer:
are you in 8B
Step-by-step explanation:
A line passes through the points (–6, –7) and (–3, 1). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
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
A cylinder with a radius of 4 cm and a height of 9 cm has the same volume as a cone with a radius of 3 cm. What is the height of the cone?
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
Find the value of x. plz helpp
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
20 points help i dont get my brothes school work LOL
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
help pls pls pls gan i
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
If 3000 is placed in an account at 5% interest and is compounded quarterly for 5 years.How much is in the account at the end of 5 years?
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
f (x) = 322 - 7x - 32 What is the value of f (-4)? A. -52 B. -12 O c. 44 D. 140
O valor de f(-4) é a opção D
Given the following information, find the Mean Absolute Deviation (MAD). The table is provided for guidance. You still need to find the Absolute deviations and then find the mean of those numbers.
The weights of 15 kittens at a pet shelter are shown below in ounces:
{7,7,9,10,11,13,13,13,13,14,14,18,20,23,25} and the mean is 14oz.
Data Mean Absolute Deviation
7 14
7 14
9 14
10 14
11 14
13 14
13 14
13 14
13 14
14 14
14 14
18 14
20 14
23 14
25 14
Answer:
3.625
Step-by-step explanation:
ur welcome!
growth or decay pls answer
kyra is 12 years old,and is twice as old as Aiden,who is 2 years younger than maya.how old is maya?
Answer:
4
Step-by-step explanation:
12 ÷ 2 which is 6 then 6-2 which is 4
What is the circumference of the circle? (use 3.14 for pi)
if the ratio of type O to non-type O donors at a blood drive was 37:43. how many would be type O out of 300 donors? will try and mark brainliest . please show the work as well
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.
What is a Ratio?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
a bag has red, green and blue marbles. The probability of selecting a red marble is 1/3 and the probability of selecting a green marble is 2/5. Find the probability of selecting a blue marble
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.
Joe has 6 frogs, 8 hamsters, 9 goldfish, and 3 snakes. What is the ratio of Joe's frogs and snakes to hamsters?
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.