Answer:
4x² - 28xy + 49y²
Step-by-step explanation:
(2x - 7y)²
= (2x - 7yy)(2x - 7y)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(2x - 7y) - 7y(2x - 7y) ← distribute parenthesis
= 4x² - 14xy - 14xy + 49y² ← collect like terms
= 4x² - 28xy + 49y²
Annelise buys a car that is one year old for $13600.
The value of this car has reduced by 15% of the value when it was new.
Calculate the value of the car when it was new.
Answer:
$16000Step-by-step explanation:
Initial value is x, current value is $13600, price reduction by 15%.
x - 15% = 13600x - 0.15x = 136000.85x = 13600x = 13600/0.85x = 16000Which expression is equivalent to 4(6 - 2x) ?
Answer:
Option A
Step-by-step explanation:
[tex]4(6-2x)\\\rule{150}{0.5}\\\rightarrow ((6 * 4) ( -2x*4)) \leftarrow \text{Distribute the '4' into the content in the parenthesis.}\\\\\\\\\rightarrow 6 * 4 = 24\\\\\rightarrow -2x * 4 = -8x\\\\\\\\\rightarrow 4(6-2x) = \boxed{24 - 8x}[/tex]
Hope this helps.
Which graph is a quadratic graph? A. graph A B. graph B C. graph C D. graph D
Answer:
graph ab
Step-by-step explanation:
Step-by-step explanation:I just did it and got it right...
Find the greatest common factor of 21 and 46.
Answer:
1
Step-by-step explanation:
Hope this helps! Have a great day ahead. Tell me if I'm wrong :) Stay Safe <3
Answer:
1
Step-by-step explanation:
they are both co-prime (numbers that have a common factor of only 1)
plz help look at the pic below
Answer:
You can use the exponential rule where
[tex](n^x)^y=n^{xy}[/tex]
Therefore,
[tex](a^3)^{-2}=a^{3*(-2)}=a^{-6}[/tex]
[tex]\\ \rm\leadsto (a^3)^{-2}[/tex]
(a^m)^n=a^mn[tex]\\ \rm\leadsto a^{-6}[/tex]
[tex]\\ \rm\leadsto \dfrac{1}{a^6}[/tex]
Find the distance between
Answer:
minus 15 by 4
Step-by-step explanation:
minus 9 by 4 minus 3 by 2 lcm then add
A toy rocket is launched from the ground, the equation
h= -16t^2+ 80t, models the height of the rocket h in feet at any timet
in seconds.
For which interval of time will the rocket be higher than 64 feet off the
ground?
Answer:
Step-by-step explanation:
We can graph the function and determine the points where the y value line is greater than 64 feet. We could also solve the equation for h = 64.
Graphing:
A graph is attached. The intersections of the line at height = 64 feet are at (1,64) and (4,64). The first is going up and the second coming down. The period of time the rocket is above 64 feet is from 1 to 4 seconds.
Solving:
h= -16t^2+ 80t
64 = -16t^2+ 80t
-16t^2+ 80t - 64 = 0
Solve using the quadratic formula:
We get two answers: 1 and 4 (seconds)
find the volume of the prism
Answer:
96ft^3 (The third option)
Step-by-step explanation:
The volume of a prism is derived by the formula length*width*height. This is also known as the base*height. The base here is 6*4, but since it's a triangle, we divide by 2 to get 12 as the base. the height is 8, so 12*8=96 ft^3. Hope this helps!
Find the slope of the line y=-1/4x+1
Answer:
slope is -1/4 the number before the x is the slope
Step-by-step explanation:
Answer:
The slope is -1/4
Step-by-step explanation:
The equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -1/4x +1
The slope is -1/4 and the y intercept is 1
If the area of a rectangle is x^2+5x+6, and x represents 15 cm, what is the perimeter of the rectangle?
Answer:
To calculate the length and width of a rectangle first, calculate the value of width 'w' by using the area of rectangle formula that is, 'w = A/l'.
Step-by-step explanation:
Sup!! can you answer this?
also answer fast kid
Answer:
try d) 17 m
sorry if it's wrong
25 points! I really need some help.
Answer:
c ≤ 4 1/3
Step-by-step explanation:
10.25 + 2.25c ≤ 20 solve the equation if there was an = in the equation
10.25 + 2.25c = 20
-10.25 = -10.25
2.25c = 9.75
c = 9.75 ÷2.25
c = 4.3333
[tex]c = 4\frac{1}{3}[/tex]
Now replace the ≤ into the equation:
c ≤ 4 1/3
HELP PLEASE AHH I WILL GIVE BRAINLIEST
Answer:
140 Minutes
Step-by-step explanation:
Y = 0.125x ---> Corinne every 1 minute
Y = 3.5 + .1x ----> Aretha
0.125x = 3.5 + .1x
-.1x - .1x
0.025x = 3.5
0.025x/.025 = 3.5/.025
x = 140 minutes
what is the hcf of 18 27 and 81 by prime factorization
Answer:
9
Step-by-step explanation:
It's been a while since i've dealt with prime factors hopefully this is correct.
Your 12 turkeys drink 7.6 L of water a day. How
much water does one turkey drink per day?
The owner of a bookstore buys used books from customers for $1.50 each. The owner then resells the used books
for 400% of the amount he paid for them.
What is the price of a used book in this bookstore?
need the answer
The price of a used book in the bookstore after the percentage increase in its price is $7.50.
What are percentages?
Percentage can be described as the fraction out of an amount that is usually expressed as a number out of hundred. Percentages are represented with this sign - %.
What is the price of the used book?Price = 1.50 x ( 1 + 4)
1.5 x 5 = $7.50
To learn more about percentages, please check: https://brainly.com/question/25764815
Answer:
j 6.00
Step-by-step explanation:
i took the test hope this helps good luck
Find the slope. simplify if needed.
(-10,5) and (2, -3)
miggy ask to solved the given quadratic equation x²+8x-20=0 using the quadratic formula,Help miggy to determine the following
roots of the quadratic 3
discriminant
nature of roots
sum of the roots
product of the roots
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
roots of the quadratic equation ~
[tex]2 \: \: \: \:a nd \: \: - 10[/tex]discriminant ~
[tex]144[/tex]nature of roots ~
[tex]real[/tex]sum of the roots ~
[tex] - 8[/tex]product of the roots ~
[tex] - 20[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve he given quadratic equation using quadratic formula ~
Let's consider the following values ~
b (Coefficient of x) = 8 a (Coefficient of x²) = 1 c (Constant term) = -20According to quadratic formula, the roots are ~
[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac } }{2a} [/tex]where, ( b² - 4ac ) is known as it's discriminant ~
that is equal to ~
[tex](8) {}^{2} - (4 \times 1 \times - 20)[/tex][tex]64 - ( - 80)[/tex][tex]64 + 80[/tex][tex]144[/tex]Hence, Discriminant = 144
And since discriminant is positive, then the roots of the quadratic polynomial are real .
Let's find the roots now ~
[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac} }{2a} [/tex][tex] \dfrac{ - 8 \pm \sqrt{144} }{2 \times 1}[/tex][tex] \dfrac{ - 8 \pm12}{2} [/tex][tex] \dfrac{ 2( - 4 \pm6)}{2} [/tex][tex] - 4 \pm6[/tex]So, the two roots are ~
[tex] - 4 + 6[/tex][tex]2[/tex]and
[tex] - 4 - 6[/tex][tex] - 10[/tex]Sum of roots ~
[tex] - 10 + 2[/tex][tex] -8[/tex]product of roots ~
[tex] - 10 \times 2[/tex][tex] - 20[/tex]I don’t get it and I’m struggling to answer it.
Solve pls brainliest
Answer:
$180
Step-by-step explanation:
simple interest means that interest is paid every year on the original $200
To find 3% of 200, you multiply 200(.03) = $80.
$200(3)=$60
Since the interest is the same, 3(60) = $180
Hope this helps
can someone help me please
Answer:
3: 55 degrees
4: 128 degrees
Step-by-step explanation:
A straight line is 180 degrees and so you do 180-125 to get 55 degrees
180-58 is 128 degrees
What is the approximate area of a circle with a diameter of 10in
Answer:
A≈78.54in²
Step-by-step explanation:
Can I have brainliest pls?
How do I know if the point will be above the line
Answer: Para demostrar cómo calcular esto, digamos que tenemos una línea que pasa por un punto p con dirección v, es decir, parametrizada como \ gamma (t) = \ mathbf {p} + t \ mathbf {v}.
Sea L una rotación de 90 grados hacia la izquierda. Entonces, un punto x está a la izquierda de su línea si \ langle \ mathbf {x} - \ mathbf {p}, L \ mathbf {v} \ rangle es positivo, a la derecha si es negativo, y en la misma línea si es cero.
Respuesta 2:
Una línea en un plano no tiene un lado preferido, por lo que sin algo que distinga los lados de una línea, no puede haber una cuestión de qué lado de una línea se encuentra un punto.
Sin embargo, puede preguntar si dos puntos en ese plano, no en la línea, se encuentran en el mismo lado de la línea. Si el segmento de línea entre esos dos puntos se cruza con la línea, entonces se encuentran en lados opuestos de la línea; de lo contrario, se encuentran en el mismo lado de la línea.
Respuesta 3:
Trace la línea en una gráfica, digamos x = y. Cualquier coordenada de un punto donde xey son =, entonces se encuentra en la línea (17,17).
Si x es mayor que y, nuestro punto estará por debajo de la línea (3,2).
Si y es mayor que x, el punto estará por encima de la línea (1,2).
Si su línea es y = 2x, entonces y tendría que ser mayor que 2x para estar por encima de la línea.
Nuestra comparación en este gráfico xy está por encima o por debajo. Esto se debe a que generalmente hacemos referencia a nuestra línea ay =. Si lo reescribimos como x =, nuestra misma línea comparada con x sería a la izquierda o derecha de.
Step-by-step explanationNuestra comparación en este gráfico xy está por encima o por debajo. Esto se debe a que generalmente hacemos referencia a nuestra línea ay =. Si lo reescribimos como x =, nuestra misma línea comparada con x sería a la izquierda o derecha de.:
prove that: (sinθ/1+cosθ) + (1+cosθ/sinθ) = 2cosecθ
[tex] \: prove \: that: \frac{ sinθ}{1+cosθ}+ \frac{1+cosθ}{sinθ} = 2 \: cosec \: θ [/tex]
Consider LHS
(sinθ/1+cosθ) + (1+cosθ/sinθ) =
= [sinθ(sinθ)+(1+cosθ)+(1+cosθ)]/[(1+cosθ)(sinθ)]
= [sin²θ+(1+cosθ)²]/[(1+cosθ)sinθ]
= [sin²θ+1+cos²θ+2cosθ]/[(1+cosθ)sinθ]
[°.° (a+b)² = a²+2ab+b²]
Here, a = 1, b = cosθ
= [(sin²θ+cos²θ)+1+2cosθ]/[(1+cosθ)sinθ]
= [1+1+2cosθ]/[(1+cosθ)sinθ]
[°.° sin²θ+cos²θ = 1]
= [2+2cosθ]/[1+cosθ)sinθ]
= [2(1+cosθ)]/[(1+cosθ)sinθ]
= 2/(sinθ)
[°.° 2/sinθ = cosecθ]
= 2cosecθ = RHS.
Hence, Proved.
Read more:
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BrainlyCPT~
Brainly Team
(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answer:
5.39
Step-by-step explanation:
To find the third side (let's call it x) you plug the side lengths given into the Pythagorean theorem to get:
5² + 2² = x²
Which, simplified, is:
25 + 4 = x²
And to get x, you do:
x=√(29)
So, if you want it to the nearest hundredth, it is 5.39.
square root of 29.00
Step-by-step explanation:
5square +2square=29 to the nearest hundredth 29.00 .but there is no square root of 29
the coordinates of the point of intersection of lines px + y = 3 and x + 2y = q are (2, -3). find the value of p and q
Answer:
p = 3 and q = - 4
Step-by-step explanation:
Substitute the coordinates of the solution (2, - 3 ) into the equations and solve for p and q
px + y = 3 , then
2p - 3 = 3 ( add 3 to both sides )
2p = 6 ( divide both sides by 2 )
p = 3
and
x + 2y = q , then
2 + 2(- 3) = q
2 - 6 = q , so
q = - 4
Is - 1/2 equivalent to 1/-2
YES
- 1/2 is equivalent to 1/-2
The detailed answer is in the image attached.
Hope it helps you.....
Please mark as Brainlliest!!!
A cab company charges a $3 boarding rate in addition to its meter which is $2 for every mile. What is the equation?
Please give an actual answer
Find x. please help me!!
Answer:
I want to say B.
Step-by-step explanation:
Demonstrate your knowledge by giving clear, concise solutions to each problem. Be sure to include all relevant drawings and justify your answers (show all your work). You may show your solution in more than one way to investigate beyond the requirements of the problem. 1. Some important formulas are given below Area of a circle is A=πR^2 where r is the radius of the circle.
A)Write a formula for the area of the figure below. (5pts)
Answer:
A = 8a + [tex]\frac{1}{2}[/tex]πa²
Step-by-step explanation:
The figure consists of a rectangle and a semi- circle
area of rectangle = 4 × 2a = 8a
area of semi- circle = [tex]\frac{1}{2}[/tex]πr² ( r is the radius = a )
= [tex]\frac{1}{2}[/tex]πa²
Then area (A ) of figure is
A = 8a + [tex]\frac{1}{2}[/tex]πa² ← factor out [tex]\frac{1}{2}[/tex] a from each term
= [tex]\frac{1}{2}[/tex] a(16 + aπ)