Answer:
a = ± [tex]\sqrt{\frac{x^2}{1-w} }[/tex]
Step-by-step explanation:
Given
x² = a² - a²w ← factor out a² from each term on the right side
x² = a²(1 - w) ← divide both sides by (1 - w)
[tex]\frac{x^2}{1-w}[/tex] = a² ( take the square root of both sides )
± [tex]\sqrt{\frac{x^2}{1-w} }[/tex] = a
Shreya has a photo that is 16 cm tall and 20 cm wide. She wants to put a frame around the photo which would have the same width all around.
Represent the area of the whole frame as a polynomial in terms of the width around the photo.
A.[tex]x^{2} + 36x + 320[/tex]
B.[tex]-4x^{2} - 72x + 320[/tex]
C.[tex]4x^{2} + 72x + 320[/tex]
D.[tex]-x^{2} - 36x - 320[/tex]
A photo is usually rectangular in shape. This means that if a frame is to be put around the photo with the same width all round, it means that if the width is "x", then the new length and width will be (l + 2x) and (w + 2x) respectively where l is length and w is width.
Option C is the correct answer
Data Given;
Height of Photo: 16 cm
Width of Photo: 20 cm
Since she wants to put a frame with same width around the photo, let's represent this width as x.
Thus;
New height = 16 + 2x
New width = 20 + 2x
Area of a rectangle is given as:
A = Length * width
Thus, in this case;
A = (16 + 2x) × (20 + 2x)
Multiplying out, we have;
A = [tex]4x^{2} + 32x + 40x + 320[/tex]
A = 4[tex]x^{2} + 72x + 320[/tex]
Looking at the given options, Option C is the correct answer
Read more at: brainly.com/question/11289399
What would be the mass of a 10kg suitcase on Neptune?
The acceleration due to gravity on the surface of the Moon is about 1.625 m/s2. So, an object the mass of 10 kg. will weigh 10 × 1.625 = 16.25 N (newton) on the moon.
The mass will be 16.25 Kg
what is acceleration due to gravity?Acceleration due to gravity is the acceleration gained by an object due to gravitational force. Its SI unit is m/s2. It has both magnitude and direction, hence, it’s a vector quantity. Acceleration due to gravity is represented by g. The standard value of g on the surface of the earth at sea level is 9.8 m/s2.
Gravity is the force with which the earth attracts a body towards its centre. Let us consider two bodies of masses ma and mb. Under the application of equal forces on two bodies, the force in terms of mass is given by:
mb = ma [aA/aB] this is called an inertial mass of a body.
Given:
mass of object = 10 kg
Acceleration due to gravity on Moon
=1.625 m/s²
So,
Mass of object on moon= 1.625 * 10 = 16.25 Kg
Learn more about acceleration due to gravity here:
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#SPJ2
find the smallest value of k, such that 525k is a perfect cube
Answer:
why should the government provides security to it's people
Answer: 2205
Step-by-step explanation:
From the prime factorisation of 525 we get
525 = 3×5×5×7
We have to make sure that all the factors are in cube form
To do that we have to add 3×3×5×7×7 to the factors
We get
525 = 3×3×3×5×5×5×7×7×7
So the 3×3×5×7×7 gives us the smallet value of k, which is 2205
And 525×2205 gives us 1157625 which is a perfect cube.
Find the midpoint of points A(9, 2) and B(6,-4) graphically.
Plot the line segment AB by clicking twice on the graph.
Start over
10
9
8
2 6 5
4
3
2
6
-10
--
-5
7
3
2
CH
القومي
-
u
6
7
7
S
9
10
-2
-3 4
-5
9
-7
-8
-10
Answer:
Mid point of A(9,2) and B(6,44) is (7.5, -1)
Step-by-step explanation:
I. If mid point = [tex]\frac{x_{a} +x_{b} }{2}[/tex], [tex]\frac{y_{a}+ y_{b} }{2}[/tex]
So (x) = (9 + 6) / 2 = 7.5
(y) = (2 + (-4)) / 2 = -1
So (x,y) = (7.5, -1)
Leave more question below, I don't understand you question well.
please help asap need answer
PLEASE ANSWER CORRECTLY
[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]
Adding -3 is equal to b. subtracting 3.
Take a look at the example (hint) they have given in the question.
[tex] \sf \: 5 + ( - 3) = 2 \\ \sf \: 5 \: \underline{- 3} \: = 2 \\ \sf2 = 2[/tex]
We can see that, when we took + (-3) as - 3, the equation still worked. So, therefore -> Option B. is the correct answer.
_____
Hope it helps.
RainbowSalt2222
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Okay, so first let's look at the hint they've provided. ⇨ 5 + (-3) = 2In this question, we need to find which operation fits with adding -3.Let's try to solve the example now.[tex] \sf \: 5 + ( - 3) = 2 \\ \sf 5 - 3 = 2 \\ \boxed{\bf \: 2 = 2}[/tex]
From this example, it's clear that subtracting +3 is the same as adding -3. Hence, option B. subtracting 3 is the correct answer.E15 gasoline contains 15% of alcohol calculate the volume in liters of alcohol in a full 20 gallon gas tank
Since, 1 gallon = 3.78541 liters
Therefore, 20 gallons = 75.7082 liters
That means amount of gasoline in the gas tank is 20 gallons or 75.7082 liters.
It's given in the question that E15 gasoline contains 15% of alcohol.
Therefore, amount of alcohol in the gas tank = 15% of 75.7082
= 11.35623
≈ 11.36 liters
Learn more,
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Amount of total Alcohol in liters is 11.355 liter.
Given:
Amount of total gas solution = 20 gallon
Amount of Alcohol in total gas = 15%
Find:
Amount of total Alcohol in liters
Computation:
1 Gallon = 3.785 liter (Approx.)
Amount of total gas solution in liter = 20 × 3.785
Amount of total gas solution in liter = 75.7 liter (Approx.)
Amount of total Alcohol in liters = Amount of total gas solution in liter × Amount of Alcohol in total gas
Amount of total Alcohol in liters = 75.7 × 15%
Amount of total Alcohol in liters = 75.7 × 0.15
Amount of total Alcohol in liters = 11.355 liter (Approx.)
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Which expression has the same value as 2 + (-3)?
23
O 2 - (3)
Submit Answer
0-2+(-3)
-3 - 2
o
Answer:
2-3 is same as 2+(-3)
.
.
.
Hope it helps
Algebra 2 Help!! WILL GIVE BRAINLIEST!!
Let f(x)=3x^2+x-3 and g(x)=x^2-5x+1. Find f(x)-g(x).
Step-by-step explanation:
f(x) - g(x) = 3x² + x - 3 - ( x² - 5x + 1 )
= 3x² + x - 3 - x² + 5x - 1
= 2x² + 6x -4
This is correct answer.
Find the greatest number of students for whom 30 apples, 45pears and 60 oranges can be equally distributed. Find the shares of each item.
Answer: The greatest number of students for whom 30 apples, 45 pears and 60 oranges can be distributed equally is 15.
Step-by-step explanation:
taking HCF
so
HCF of 30,45,60
30 = 2*5*3
45 = 3*3*5
60=3*2*2*5
HCF = 3*5 = 15
so
1 student will get = 30/15 = 2 apples
1 student will get = 45/15 = 3 pears
1 student will get = 60/15 = 4 oranges
This is my question:
Answer:
48 children went to the big picnic
Step-by-step explanation:
hope that helps>3
Answer:
48 children
Step-by-step explanation:
What is the answer to 6+4tothe3power-1tothe8power
Answer:
69
Step-by-step explanation:
6+64-1
=69
............
Question 2
1 pts
U
A physics class just took the final exam and most everyone in the class failed. What
distribution would be describe the data?
Obimodal
normal distribution
negatively skewed
O positively skewed
Answer:
C: negatively skewed class
Which expression has a value of 48?
A . (16−8)×(2+4)
B . 16−(8×2+4)
C . 16−8×(2+4)
D . (16−8)×2+4
Step-by-step explanation:
(16-8)x(2+4)
= 8x(6)
= 8x6
= 48
what is 6v(2v+3)this is multiplying polynomials answer fast please!!
Answer: 12v² + 18v
Step-by-step explanation:
Given
6v (2v + 3)
Apply distributive property by multiplying 6v to both 2v and 3
= 6v · 2v + 6v · 3
= 12v² + 18v
Hope this helps!! :)
Please let me know if you have any questions
I need help Cant someone help
Answer:
46
Step-by-step explanation:
Answer:
46
Step-by-step explanation:
given the math statement 23 x 3.1 = 71.3, which of the following statements are true?
Answer:
0.23 x 3.1 = 0.713
Step-by-step explanation:
the decimal moves 2 to the left since 23 became 0.23
(help pls), What numbers are a distance of 68 unit from 18 on a number line?
Select the locations on the number line to plot the points.
7) Find EC
16
E-
B
D
С
49
30
find the area and perimeter of the following
Answer:
area= 604 cm^2
perimeter=376 cm
Step-by-step explanation:
radius(r)=28/2
=14 cm
area of the semicircle=2[tex]\pi[/tex]r*theta /360
=2*22/7*14*180/360
=44cm^2
area of the rectangle=l*b
=28*20
=560 cm^2
total area=semicircle area+rectangle area
=560+44
=604 cm^2
arc length=[tex]\pi[/tex][tex]r^{2}[/tex]*theta/360
=22/7*14*14*180/360
=308cm^2
perimeter=28+20+308+20
=376 cm
Hope this helps you.
2+3×2 = Α
what is ath ansewer
Answer:
8
Step-by-step explanation:
2+(3×2)=2+6=8
HELPPPPPP MEEEE PLESDEEEE
Answer:
7, 5, 1, 3
Step-by-step explanation:
Hope this Helps!
Please mark me Brainliest
Write the equations using point slope form. Then put into slope intercept form. (3,-4), m=2 and (-5,1), m=4/3
Answer:
Y= 2x + 10
Y= 4/3 x + 7 2/3
For the first equation with points (3,-4) and m there are three values that we can plug into the equation y=mx + b to find the missing value in this situation, the y-intercept.
First, write the equation with the given values and you should have something like this:
-4 = 2(3) +b
The only value that hasn't been discovered yet is b so we solve the equation appropriately to get our value.
-4 = 6+ b
-10= b
And now that we know that the value of b is -10 we can plug -10 into the equation and get the equation Y= 2x + 10
Now for the second, we complete the same steps. We know that we have the points and the slope and subsequently plug it into the equation and receive our answer( for the y-intercept).
1= -5(4/3) +b
1= - 6 2/3 + b
7 2/3 = b
Once we see that the value of b is 7 2/3 we plug it into the equation and get Y= 4/3x + 7 2/3
Feel free to ask any questions and I am welcome to criticism
the graph below shows the solution to which system of inequalities. y>-3 and y<-x
Answer: (should be) A
Step-by-step explanation: I've done the same test before
List the ages of your family and find the average age
55,34,26,24,19,17
Answer:
Soln:
Total ages = 175
No. of ages= 6
Now,
Average age= Total ages/no. of ages
= 175/6
= 29.167 ans.
What is the value of x?
B
170
O x = 55°
O x = 60°
O x = 70°
X
С
O x = 110°
A
26. September 9, 1981 (9/9/81) was a square-root year date because both the
month and the day are square roots of the last two digits of the year.
How many square-root dates will there be during the 21st century?
Answer:
Step-by-step explanation:
A century has 100 years in it. months only has a max of 31 dates. The following years are perfect squares, 01,04,09,16,25,36,49 64,81,100
It will be 10 square root dates.
ANSWER ANY OR BOTH! add explanation if you can (optional)
You choose to tip a taxi driver 20%. if the tip is $2.00, how much was the original cost of the ride?
A grocery store sign indicates that bananas are 3 for $1.50, and a sign by the oranges indicates that they are 5 for $3.00. Find the total cost of buying bananas and 4 oranges.
PLEASE ANSWER THANK YOU
Answer:
Below
Step-by-step explanation:
1. To find the percentage of a number you would need to multiply it by 0. whatever the percent. In this case we are given the percentage and the tip amount, so we can find the original cost of the ride like this :
2 = 0.2 (x)
Multiply both sides by 10
20 = 2x
Divide both sides by 2
10 = x
The original cost of the ride was $10
2. For this one we already know the cost of the 3 bananas so all we need to find is the cost of 4 oranges
Each orange = $3.00 / 5
= $0.6
For 4 oranges, it would be 0.6 x 4 = $2.4
Adding the price of 4 oranges and 3 bananas together....
2.4 + 1.5 = $3.9
The total cost of buying 3 bananas and 4 oranges is $3.9
Hope that helps! Best of luck <3
What is the inverse of the function f(x) = 3x – 2?
f-1(x) =
Answer:
[tex] \frac{x + 2}{3} [/tex]
Step-by-step explanation:
Replace y with f(x).
[tex]y = 3x - 2[/tex]
Swap x and y and solve for y
[tex]x = 3y - 2[/tex]
[tex]x + 2 = 3y[/tex]
[tex] \frac{x + 2}{3} = y[/tex]
Find the largest integer that is below Square root 10
Answer:
3.16
Step-by-step explanation: