Answer:
x = 5
Step-by-step explanation:
Since both sides are given, set both sides equal to eachother.
3x + 1 = 5x - 9
Segment CM is on the left and segment MB is on the right. From now on, solve for x.
Step 1: Isolate x by itself by subtracting the lesser value
3x + 1 = 5x - 9
-3x -3x the x's on the left cross out
---------------------
1 = 2x - 9
+9 +9 having x on one side
----------------
10 = 2x
__________________________________________________________
Step 2: Divide each side by 2 to get rid of x's coefficient
10 = 2x
/2 /2
----------
5 = x
Solution: x = 5
__________________________________________________________
Solving for CB: Substitute x for both sides since x = 5
3(5) + 1 = side CM
15 + 1 = side CM
16 = side CM
__________________________________________________________
Solving for CB: Solve for the other side (segment MB)
5(5) - 9 = side MB
25 - 9 = side MB
14 = side MB
__________________________________________________________
Solving for CB: Lastly, add up the sides
16 + 14 = segment CB
30 = segment CB
__________________________________________________________
Applying the knowledge of midpoint of a segment, the value of x = 5.
Given:
[tex]CM = 3x+1\\\\MB = 5x-9[/tex]
To solve this, we would apply our knowledge of Midpoint of a Segment to create an equation that will help us solve for the value of x.
Since M as a midpoint of CB, will divide CB into equal segments.Thus:
Given that M is a midpoint of CB, therefore,[tex]CM = MB[/tex]
Substitute[tex]3x + 1 = 5x - 9[/tex]
Collect like terms[tex]3x - 5x = -1 - 9\\\\-2x = -10[/tex]
Divide both sides by -2[tex]x = 5[/tex]
Therefore, applying the knowledge of midpoint of a segment, the value of x = 5.
Learn more here:
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Which of the following is the graph of f (x + 3)?
Answer:
I'd say it's C... that's shift on x-axis and the plus symbolizes the shift in the minus "region" because that's swapped you count how many steps you have to go to get to the zero.
What is the slope of (10, 10) and (2, 1).
Answer:
9/8
Step-by-step explanation:
my work is in the picture. lmk if you'd like me to explain more
1) f(x) = - x2 + 4x - 10
Find f(5)
La altura de una pelota que es lanzada directamente hacia arriba con una velocidad de 40 pies/s esta dada por y=40t -16t2 ¿Cuál es la altura máxima alcanzada por la pelota?
Explicación paso a paso:
Dada la altura de una pelota que se lanza directamente hacia arriba con una velocidad de 40 pies / modelada por la ecuación y = 40t -16t ^ 2
La pelota alcanzó su altura máxima cuando la velocidad es cero.
La velocidad se expresa como dy / dt
dy / dt = 40 - 2 (16) t
dy / dt = 40 - 32t
A altura máxima, dy / dt = 0
0 = 40-32t
-40 = -32t
t = 40/32
t = 1,25 s
Para obtener la altura máxima alcanzada, sustituirá t = 1.25 en la función modelada de la altura como se muestra;
y = 40t - 16t ^ 2
y = 40 (1,25) - 16 (1,25) ^ 2
y = 50 - 25
y = 25
Por tanto, la altura máxima que alcanza la pelota es de 25 m
Queremos encontrar la altura máxima alcanzada por una pelota que es lanzada hacia arriba. Veremos que la altura máxima es 25 pies.
Encontrando el máximo.
Sabemos que la ecuación de la altura es:
y = 40*t - 16*t^2
Podemos ver que es una parabola con un coeficiente lider (el que multiplica la variable al cuadrado) negativo. Esto sinifica que el maximo esta en el vertice.
Para una parabola general:
a*x^2 + b*x + c
El vertice está en:
x = -b/(2a)
Así que en nuestro caso, el vertice de y = -16*t^2 + 40*t está en:
t = -40/(2*(-16)) = 1.25
Para encontrar la altura maxima evaluamos la ecuación en este valor de t:
y = 40*1.25 - 16*(1.25)^2 = 25
Es decir, la altura máxima es 25 pies.
Sí quieres aprender más sobre parabolas, puedes leer:
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Ahmed paid $18 for a shirt which has a marked price of $25. What is the percentage discount?
Hank sells toy cars on a web site. The web site fee is $30. Hank sells each toy car for $4.
What inequality does Hank use to determine how many toy cars, c, he must sell to make a
profit of at least $50?
A
B
34c s 50
340 250
40 + 30 S 50
40 - 30 250
С
D
Answer: D
Step-by-step explanation:
Line v has an equation of y=10/7x + 8. Line W is perpendicular to line v and passes through (-7,4). What is an equation of line w?
Find the values of x and y.
Answer:
x = 45°, y = 85°
Step-by-step explanation:
x = 45° ( Alternate angles )
y = 85° ( Corresponding angles )
ANSWER NEEDED ???????
Linda's account has a balance of −$45.50. If she owes the bank more than $30, her account gets closed. Which of the following is true about Linda's account?
Answer:
There's no options but it will get closed
Step-by-step explanation:
Answer:
Step-by-step explanation:
-75.5
Can anyone help me ?
Answer:
1
Step-by-step explanation:
The zero of a liner function is where it crosses the x-axis
En el siguiente diagrama, Midtown se encuentra exactamente a mitad de camino entre Uptown y Downtown. ¿Cuál es la distancia entre Midtown y Lower East Side?
A-2.6 km
B-1.5 km
C-2.1 km
D-90 grados
There are 14 teams in a basketball league.
Each team plays every other team twice
during the season.
a) Suppose that you want to determine
how many games, in total, are played.
Suggest a simpler problem that you
could solve first.
b) How many games, in total, are played
during the season?
Answer:
Step-by-step explanation:210 games
14+13+12... (x2)
The total number of games played is 182.
What is permutation?The number of possible arrangements for a given set is calculated mathematically using permutation, where the arrangement's order matters.
Given that, there are 14 teams and each team plays twice with the other team.
Since each team plays every other team twice, the total number of games is nothing but the permutation of 2 out of 14 which is given by:
₁₄P₂
=14!/((14-2)!)
= (14×13×12!)/ 12!
= 14×13
=182
Hence, the total number of games played is 182.
Learn more about the permutations:
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David estimated that the band fundraiser would make $492.
The fundraiser actually made $600. What was the percent
error of David's estimate?
Answer:
18%
Step-by-step explanation:
if i am right
it would be subtract 492- 600 = -108
make this a positive value so 108
and divide it by the actual made amount
108/600 which would be 0.18 multiply this by 100 and you have 18% !!
this is what i remember doing!
let me know if it helped
Need some help with this question!!
2.4x + 4.6x = 28 Could someone help me with this problem I need it.
Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define
2.4x + 4.6x = 28
Step 2: Solve for x
Combine like terms (x): 7x = 28Divide 7 on both sides: x = 4Step 3: Check
Plug in x to verify it's a solution.
Substitute in x: 2.4(4) + 4.6(4) = 28Multiply: 9.6+ 18.4= 28Add: 28 = 28Here we see that 28 does indeed equal 28.
∴ x = 4 is a solution of the equation.
find H.C.F of 2x+4 and x^2-4
Answer:
(x+2)
Step-by-step explanation:
(2x+4) = 2(x+2)
x^2-4 = (x+2)(x-2)
H.C.F = (x+2)
Hope this helped!
Factor each expression separately.
2x + 4 becomes 2(x + 2).
x^2 - 4 becomes (x - 2)(x + 2).
The highest common factor is (x + 2).
Consider the following equations: y = 2 x minus 3. y = 2 x. y = 2 x + 2. y = 2 x + 5. Discuss the similarities and differences of the graphs of these equations. (Use a graphing calculator if you have one.) a. Same slopes; same y-intercepts b. Same slopes; different y-intercepts c. Different slopes; different y-intercepts d. Different slopes; same y-intercepts Please select the best answer from the choices provided A B C D
Answer:
its c
Step-by-step explanation:
i just did it in edge hope this helps
Answer:
its c
Step-by-step explanation:
i just did it and got it right
30 POINTS! PLEASE HELP WITH THIS QUESTION!
Answer: I think it is 8
Step-by-step explanation: Since the tree in the garden is a 24 foot shadow, you divide by the 6 foot shadow and get 4
then 4 * 4 = 16
16 / 2 = 8
So i think its 8
Help ASAP ♂️yes or no explanation
Answer:
yes
Step-by-step explanation:
-2q– 32 = 0
q=
and
Som
One
Please
He
Lp
Ple
Ase
Evaluate each value expression for the given value of x: 3x-13, x=6
LAST ONE HURRY,FAST!!!!!!!!!!!!!!!!!!!
Answer:
30
Step-by-step explanation:
Y=-6x+10. Y=-6x+3
Solve the system of equations
Given:
The system of equations is
[tex]y=-6x+10[/tex]
[tex]y=-6x+3[/tex]
To find:
The solution of given system of equations.
Solution:
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
For [tex]y=-6x+10[/tex], slope is -6 and y-intercept is 10.
For [tex]y=-6x+3[/tex], slope is -6 and y-intercept is 3.
Slopes of both lines are but the y-intercepts are difference. So, the two lines are parallel.
Therefore, the given system of equation has no solution.
Help me pleaseeeeee!!!!
Answer:
B
Step-by-step explanation:
It's a guess
Classify the following triangle based on its shape.
Answer: a right triangle
Step-by-step explanation:
The Captain of a boat is steering at
a heading of
327° at 18 mph.
The current is flowing at a rate of 4mph
at a heading of 60°. Find the course to the
nearest deguse of the boat.
Answer:
59.97 º at 18.23 mph
Step-by-step explanation:
6 is a Natural, Whole, and Integer number,
True or false
Answer:
This is true!
Step-by-step explanation:
It is natural because it is a positive integer greater than 0, it's whole because its not negative and it is an integer.
A ski club rents cross-country skis. The table below shows the cost of rentals for two and four days. Number 1 2 3 of Days Rented Rental Cost ($) 12 17 22 27 Which explicit formula models the cost of renting skis from the club? o an . = 12 + 5n O an . 10n An = 5 + 5n O an an = 7+5n
Answer:
an = 7 + 5n
Step-by-step explanation:
First we know that for each number of days rented the cost increase by 5 so we get an - (?) + 5n.
We also know the first number is 12 for 1 day, so for 0 days, or the starter cost, is 7. We get this by subtracting 5 from 12.
Hence the answer an = 7 + 5n
Answer:
Step-by-step explanation:
are 1/8 and 12.5% equivalent QUICK
Answer:
Step-by-step explanation:
Yes they are equivalent
Hope it helps!
*Gotta go fast*
Plz Help...
Find x in the given triangle.
Answer:
[tex]\huge\boxed{x=2\sqrt{286}}[/tex]
Step-by-step explanation:
Use the Pythagorean theorem:
[tex]leg^2+leg^2=hypotenuse^2[/tex]
We have:
[tex]leg=x\\leg=15\\hypotenuse=37[/tex]
Substitute and solve for x:
[tex]x^2+15^2=37^2\\\\x^2+225=1269\qquad|\text{subtract 225 from both sides}\\\\x^2+225-225=1269-225\\\\x^2=1144\to x=\sqrt{1144}\\\\x=\sqrt{4\cdot286}\\\\x=\sqrt4\cdot\sqrt{286}\\\\x=2\sqrt{286}[/tex]