Answer:
[tex] \rm\displaystyle( {a}^{2} + {b}^{2} - 22)( {a}^{2} + {b}^{2} + 4)[/tex]
Step-by-step explanation:
we would like to factor the following:
[tex] \rm\displaystyle ( {a}^{2} + {b}^{2} {)}^{2} - 18( {a}^{2} + {b}^{2} ) - 88[/tex]
let a²+b²=x
thus substitute:
[tex] \rm\displaystyle x {}^{2} - 18x- 88[/tex]
rewrite the middle term as 4x-22x:
[tex] \rm\displaystyle x^{2} + 4x - 22x - 88[/tex]
factor out x:
[tex] \rm\displaystyle x( x^{} + 4)- 22x - 88[/tex]
factor out -22:
[tex] \rm\displaystyle x( x^{} + 4)- 22(x + 4)[/tex]
group:
[tex] \rm\displaystyle( x- 22)(x + 4)[/tex]
substitute back:
[tex] \rm\displaystyle( {a}^{2} + {b}^{2} - 22)( {a}^{2} + {b}^{2} + 4)[/tex]
and we are done!
The numbers below represent side lengths of various triangles. Which of the triangles are right triangle?
1. 5, 6, 9 A. Right triangle
2. 9, 11, 13 B. Not a right triangle
3. 20, 21, 29
4. 7, 24, 25
5. 9, 40, 41
Answer:
Step-by-step explanation:
Number 5
Change the units up above to the correct answer from (a) to (d)
Answer:
Step-by-step explanation:
1 cm = 10 mm
a) 0.1 cm = 1 mm
1 mm = 1000 m
b) 25000mm = 25 m
1 g = 0.001 kg
c) 7g = 0.007 kg
1ml = 0.000001
d) 30000ml = 0.03 kl
Word Problem:
Adult ticket for a football match costs $18.40 a child's ticket is $3.80 less then the adult's ticket then what will be the cost of a child's ticket ? find the total cost of ticket's of a man has to buy 5 Adult and 3 child ticket.
Answer:
the answer is 135.8 plzz mark me the brainliest
Multiply the following using the vertical multiplication method 3x2 - 5x +1 XX + 2x + 4 O A. 3x4 + x2 +10x7 - 18x + 4 O B. 3x4 +x+3x2 - 18x + 4 O C. 3x4 + x + 10x2 + x + 4 O D. 3x4 D. 3x4 - x2 + 3x2 + 18x + 4
Answer:
ANSWER
C.
3 {x}^{4} - {x}^{3} + 3{x}^{2} + 18x + 43x
4
−x
3
+3x
2
+18x+4
EXPLANATION
We want to multiply;
(3 {x}^{2} + 5x + 1)( {x}^{2} - 2x + 4)(3x
2
+5x+1)(x
2
−2x+4)
We use the distributive property to obtain:
3 {x}^{2} ( {x}^{2} - 2x + 4) + 5x( {x}^{2} - 2x + 4) + 1( {x}^{2} - 2x + 4)3x
2
(x
2
−2x+4)+5x(x
2
−2x+4)+1(x
2
−2x+4)
We expand to get:
3 {x}^{4} - 6 {x}^{3} + 12 {x}^{2} + 5 {x}^{3} - 10 {x}^{2} + 20x + {x}^{2} - 2x + 43x
4
−6x
3
+12x
2
+5x
3
−10x
2
+20x+x
2
−2x+4
Regroup similar terms:
3 {x}^{4} - 6 {x}^{3} + 5 {x}^{3} + 12 {x}^{2} - 10 {x}^{2} + {x}^{2} + 20x - 2x + 43x
4
−6x
3
+5x
3
+12x
2
−10x
2
+x
2
+20x−2x+4
Combine similar terms:
3 {x}^{4} - {x}^{3} + 3{x}^{2} + 18x + 43x
4
−x
3
+3x
2
+18x+4
The correct choice is C.
work out the answer of the given fractions 3/12+1/6=
I need help finding the solution
Answer:
170°
Step-by-step explanation:
The total degrees of a circle is 360°. So the math is pretty straight forward.
130 + 60 = 190 (First you find what the known degrees are together)
360 - 190 = 170 (Next you take that added total and subtract it from 360)
x = 170 (And there you go! Your answer!)
I hope this helped :)
can u help me part 3..
Find the exact value, without a
calculator
711/6
sin
2
7π
tan
12
711/6
COS
2
? ] + [
- √
Answer:
The answer to calculate this will be:
5
π
6
The required value of tan(7π/12) = √[(2+√3)/(2-√3)].
To find the exact value of tan(7π/12).
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
[tex]tanx =\sqrt{ \frac{1 -cos2x}{1 + cos2x} }[/tex]
tan(7π/12) = √ [ (1 - cos2(7π/12) ) / (1 + cos2(7π/12) ]
= √ [ (1 - cos(7π/6) ) / (1 + cos(7π/6) ]
= √ [ (1 - cos(π + π/6) ) / (1 + cos(π + π/6) ]
Since cos(π + x) = -cosx
= √ [ (1 + cos(π/6) ) / (1 - cos(π/6) ]
Here, cos( π/6 ) = √3/2
= √ [ (1 + √3/2 ) / (1 - √3/2 ]
= √ [ (2 + √3)/2 / (2- √3)/2 ]
= √ [ (2 + √3) / (2- √3) ]
Thus, the required value of tan (7π/12) = √ [ (2+√3)/(2-√3) ].
Learn more about trigonometry equations here:
https://brainly.com/question/22624805
#SPJ2
The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x=0 representing the year 2000, the graph below models this scenario.
A coordinate plane showing Newspaper Circulation, Years Since 2000 on the x-axis and Circulation on the y-axis. A line starting at (0, 80,000), passing through a point at (10, 50,000) and ending at (18, 25,000).
What number will complete the point-slope equation that models this scenario?
y−50,000=[_______](x−10)
−3,000
−2,000
2,000
3,000
Answer:
-3,000
Step-by-step explanation:
got it correct on edg
Answer:
-3000
Step-by-step explanation:
Right on edge 2021
HELPPP PLEASE!!!!!!!!!!
In the trapezium ABCD, AB= 4 cm, BC=9 cm, CD= 16 cm, BCD=90°.
Find AD.
The value of AD will be 15 cm.
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
Need help ASAP thanks
Answer:
B 15 has to be the answer i think but ion fully know
Answer:
b 15%
Step-by-step explanation:
Which graphs represent functions with the following key features?
positive on ()
increasing on ()
approaches 0 as x approaches
Graph U
Graph V
Graph W
Graph X
Graph Y
Graph Z
Answer:
Graph U
Step-by-step explanation:
A graph is used to illustrate the relationship between variables.
For graph U:
Graph U is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph approaches 0 as x approaches -∞.
For graph V:
Graph V is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph is negative as x approaches -∞.
For graph W:
Graph W is positive on (-∞, 0). The graph also increases on (-∞, 0). The graph approaches 0 as x approaches -∞.
For graph X:
Graph X is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph is negative as x approaches -∞
For graph Y:
Graph Y is positive on (-∞, ∞). The graph also decreases on (-∞, ∞). The graph approaches 0 as x approaches ∞.
For graph Z:
Graph Z is negative on (-∞, ∞). The graph also decreases on (-∞, ∞). The graph is approaches 0 as x approaches -∞
Please help i'm struggling with this!It's urgent!
Answer:
Step-by-step explanation:
Dilation
What are the coordinates of V′ for the transformation (T(–3, 1)° D4 )(ΔTUV) of T(–7, –6), U(–8, 3), and V(2, 1)?
Answer:
(5;1)
Step-by-step explanation:
-3 means shift to the right
Solve the system of equations by substitution. Simplify your answer. Write the
solution as an ordered pair.
y= 3x - 13
3x + 2y = 19
Answer:
x = 5 y = 2
Step-by-step explanation:
3x + 2(3x - 13) = 19
3x + 6x - 26 = 19
9x = 45
x = 5
y = 3(5) - 13
y = 15 - 13
y = 2
cant figure this one out! will mark brainliest. also don’t have to show work if you don’t want to, i just need the answer
Answer:
a = -24
Step-by-step explanation:
a / -3 - 2 = 6
a/-3 = 8
a = -3 * 8
a = -24
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer: a= -24
a/-3- 2=6
+2 +2
a/-3=8
*3 *3
a= -24
Which equation is equivalent to
y-1= 5(x+2) ?
Step-by-step explanation:
We can simply by opening the brackets ,
=> y - 1 = 5( x - 2 )
=> y - 1 = 5x - 10
=> y - 5x = -9
=> 5x - y + 9 = 0
1) Paul is buying stock to add
to his portfolio. The cost of the
stock is $60 per share. The
broker that he's buying from
also charges a processing fee
of $100.
WRITE AN EQUATION THAT REPRESENTS THE LINE. USE EXACT NUMBERS.
Answer:
[tex]y=\frac{6}{5}x-5[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the two given points (0,-5) and (5,1)
[tex]m=\frac{1-(-5)}{5-0}\\m=\frac{1+5}{5-0}\\m=\frac{6}{5}[/tex]
Therefore, the slope of the line is [tex]\frac{6}{5}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{6}{5}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{6}{5}x+b[/tex]
On the graph, we can see that when x is 0, y is equal to -5 (we're also given the point (0,-5). Therefore, the y-intercept of the line is -5. Plug this back into the equation:
[tex]y=\frac{6}{5}x-5[/tex]
I hope this helps!
Answer:
y = 6/5x - 5
Step-by-step explanation:
To find the equation of a linear line you need 2 things: the slope and the y-intercept.
The slope can be found by taking two points and dividing the change in y by the change in x. Using the two points highlighted, the slope would be (1 - -5)/(5-0) = 6/5.
The y-intercept is where the line crosses the y-axis, which on this line is at -5. Then plug in this information into point slope form, y = mx + b, where m is the slope.
So you get y = 6/5x - 5.
Here is standard form too if you need this instead: 6x - 5y = 25
UERGENT!!!!!!
Find the values of x and y
5x - 17 = 48
5x − 17 + 17 = 48 + 17
5x = 65
x = 13
180 - 48 = 132
y = 132
pls help me solve pls show how you got the answer
Step-by-step explanation:
the answer is number a 88 CM square
hey, if the volume is 8cm^3, each side will be 2 cm, why? because 8√3 equals 2. or 8=2×2×2.
so each side equals 2.
to calculate the surface area, we need to calculate one square's area and multiples it by the number of the surfaces.
to calculate a square's area: 2×2=4
so each square has the surface of 4cm^2
now we count to see how many squares do we have.
we've got 22 surfaces.
so 22×4=88cm^2
then option C is the answer
my mother tongue isn't English so my apologies if I couldn't explain well
5x raised to 3+4 x raised to 2 - 6
Answer:
[tex]125x^3 + 16x^2 -6[/tex]
Step-by-step explanation:
Given :
5x raised to 3 , that is =
[tex](5x)^3 = 5^3 \times x^3 = 125 x^3[/tex]
4x raised to 2 , that is =
[tex](4x)^2 = 4^2 \times x^2 = 16 x^2[/tex]
Final step : (5x raised to 3) + ( 4x raised to 2) - 6, that is =
[tex](5x)^3 +(4x)^2 - 6 \\\\=125x^3 + 16x^2 -6[/tex]
Find the missing angle in this triangle
Answer:
hope it helps
Step-by-step explanation:
124+23+x=180
x+147=180
x=180-147
x=33
In a two-digit number, the units digit is twice the tens digit. If the number is doubled
it will be 9 more than the number reversed. Find the number.
T=Tens
U=Unit
From the question... The Unit digit is twice the Tens digit
Let the Number be xy
Meaning
y is the unit number
x is the tenth Number
Can be inferred for the question that
y=2x ...........(i)
Also
If the Number is doubled x2(times 2)
"It'll be 9more than the reversed"
Now listen
if you want to express a 2digit Number...
Let's say 45...
It can be expressed as 10x4 + 5 = 45
or
66 can be expressed as 10x6 + 6 = 66
So
It'd be better if we express this our unknown number like that too
So
Let's express "xy" like "10x + y"
Hope you grab?
Now from the second statement of the question..
If The Number is doubled...It'll be 9 more than the reversed
What is the reverse of that Number??
The reverse would be "10y + x"
You can see that x and y switched places.
so
The statement said...
2(10x + y) + 9 = 10y + x (reversed)
20x + 2y + 9 =10y + x ........(ii)
Recall from our first eqn
y=2x
Now substitute y=2x into eqn ii
20x + 2(2x) + 9 = 10(2x) + x
20x + 4x +9 = 20x + x
20x - 20x + 4x - x = -9
3x = -9
x=-3
y=2x
y=2(-3)
y=-6
So The Number is 10x + y
= 10(-3) + (-6)
=-30-6
=-36
This answer obeyed the first part of the question because the unit is twice digit(2x3)
Let's check if it obeyed the second part
2[(10(-3) + (-6)] + 9 = 10(-6) + (-3)
2(-30-6) + 9 = -60-3
-63=-63
The 2nd part is also true.
So
Our Number is -36.
I'm Open to corrections if you spot any.
(4x^2+3x −5)+(x^2 −7x+10)
Answer:
[tex]5x^{2} -4x +5[/tex]
Step-by-step explanation:
La velocidad maxima permitida en una autopista es de 120km/h. Se considera infraccion si se sobrepasa segun al rodar el 12% de esa velocidad. A que velocidad como minimo iba un conductor que cometio una infraccion
Answer:
La velocidad mínima a la que debe ir un conductor que cometa una infracción es de:
134.5 Km/hO si se desea un número entero:
135 Km/hStep-by-step explanation:
Para identificar la velocidad que debe levar un conductor para cometer una infracción, se deben tener en cuenta las pautas dadas en el ejercicio:
Velocidad Máxima Permitida: 120 Km/hCausa de infracción: Sobrepasar el 12% de la velocidad máxima.Ahora debemos calcular el 12% de la velocidad máxima permitida y sumarlo a dicha velocidad, con el fin de calcular la velocidad límite justo antes de cometer la infracción:
Velocidad límite antes de la infracción = 120 Km/h + (120 Km/h * 12%)Velocidad límite antes de la infracción = 120 Km/h + 14.4 Km/hVelocidad límite antes de la infracción = 134.4 Km/hCómo puedes ver, cuando el conductor está manejando a 134.4 Km/h está justo al límite antes de cometer una infracción, ya que recuerda que en el enunciado se menciona que "se considera infracción si se sobrepasa según al rodar el 12% de esa velocidad", por lo tanto, la velocidad que debe tener para cometer esa infracción debe ser mayor a la velocidad límite, la cual puede ser 134.5 Km/h, aumentando solo una décima a la velocidad límite, o 135 Km/h si se requiere que la respuesta sea un número entero.
De 1.620 trabajadores de una empresa textil 7/9 trabajan en confeccion y el resto en tareas administrativas. ¿cuantos trabajadores trabajan en confeccion?
Answer:
The number of employees work in clothing is 1260.
Step-by-step explanation:
Out of 1,620 workers in a 7/9 textile company work in clothing and the rest in administrative tasks. How many workers work in clothing?
Total workers = 1620
employees works for clothing = 7/9
So, the number of employees = 7/9 x 1620 = 1260
Usando la informacion dada, veremos que el número de trabajadores que trabajan en confección es 1,260.
Sabemos que hay un total de 1,620 trabajadores en la empesa textil.
7/9 de ellos trabajan en confección.
Queremos ver el número de trabajadores que trabaja en confección, para ello, simplemente debemos multiplicar la fracción del número total que trabaja en confección por el número total, es decir:
N = (7/9)*1,620 = 1,260
1,260 trabajadores trabajan en confección.
sí quieres aprender más, puedes leer:
https://brainly.com/question/12668006
HELP I WILL GIVE brainly Est to whoever can answer.
Answer:
122
Step-by-step explanation:
Have a nice day :)
plz mark brainllest
find the complement of 63°
Answer:
63=90-63= 27
Bye
