The square plot of land has a larger area when x is 3.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To find the area of the square plot, we can use the formula for the area of a square: A = [tex]s^2,[/tex] where s is the length of a side of the square. In this case, the side length is 6x³ feet, so the area of the square plot is:
A = [tex](6x³)^2 = 36x^6[/tex]square feet
To find the area of the rectangular plot, we can use the formula for the area of a rectangle: A = lw, where l is the length of the rectangle and w is the width. In this case, the length is 3x⁵ feet and the width is 7x² feet, so the area of the rectangular plot is:
A = (3x⁵)(7x²) = 21x⁷ square feet
To analyse which plot of land has a larger area if x is 3, we can substitute x = 3 into the expressions for the areas of the plots:
Area of square plot[tex]= 36(3)^6[/tex] [tex]= 11664[/tex] square feet
Area of rectangular plot =[tex]21(3)^7 = 5103[/tex] square feet
Therefore, the square plot of land has a larger area when x is 3.
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Pls Help Asap pls T^T
Answer: think its c
Step-by-step explanation:
I believe the answer is 18%
What is the slope of the following line?
Answer:
1/2
Step-by-step explanation:
I need help please i don’t understand
9514 1404 393
Answer:
no
Step-by-step explanation:
The dimensions will be those of a rectangular mirror if the diagonal measure is the hypotenuse of the right triangle with the given side lengths.
The Pythagorean theorem would require for some width w ...
w^2 +24^2 = 30^2
w^2 = 900 -576 = 324
w = √324 = 18
A rectangular mirror with a length of 24 inches and a diagonal of 30 inches will have a width of 18 inches, not 16.
__
The attachment shows that a width of 16 inches is not consistent with a right-angle corner.
_____
Additional comment
If you reduce the given numbers to lowest terms by dividing them by 2, they become 8, 12, 15. That is, the two shortest sides are even and the longest is odd. Any set of integer dimensions for a right triangle must have an even number of odd numbers (0 or 2). These numbers cannot be a Pythagorean triple, so cannot make a right triangle.
53+2444= ??????? HELP I D K THE ANSWER
Answer:
2497
Step-by-step explanation:
Answer:
2497
Step-by-step explanation:
53 + 2444
= 0053 + 2444
= 2497
With spring break approaching, Travis plans to play more 2k every day. Right nowhe plays about 40 minutes per day. He expects that number will increase by 10 minutes per day
Write an equation that shows the number of minutes of 2k played as a function of the day
Write an equation for the line, in point slope form given the following information
Slope = 1/4 contains the point (8,-3)
Answer:
y+3=1/4(x-8)
simplified -> y+3=1/4x-2
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=1/4(x-8)
y+3=1/4(x-8)
If you want it to be further simplified
y+3=1/4x-2
Answer and explanation
Answer:
392in
Step-by-step explanation:
find the areas of all the sides of this shape. Of one you might have to split it into two shpaes.
CHOOSING BRAINLIEST ( SCREENSHOT PROVIDED )
Find the missing number to complete the linear equation that gives the rule for this table.
x | y
0 | 0
1 | 25
2 | 50
3 | 75
Answer:
y= 25
i think
Step-by-step explanation:
write an equation of the line that passes through 3,1 and 0,10
Answer:y = -3x + 10
Step-by-step explanation:
To find an equation of a line that passes through two points, we have to first find the slope between the two equation. We can do this by using the slope formula:
where (x₁, y₁) and (x₂, y₂) are the two points that we are finding the slope between.
Lets make (x₁, y₁) equal to (0, 10) and (x₂, y₂) equal to (3, 1). Now we plug them into the slope formula:
So the slope between the two points is -3.
From here, I would normally take one of the points given to us and plug in the point and slope into the point-slope form of a line and then simplify until we get it in slope-intercept form. But if you look carefully, the y-intercept is given to us as the point (0, 10). So we now know that the y-intercept of the line is 10. We can now take the y-intercept and the slope and plug it into the slope-intercept form of a line to get out equation:
y = mx + b
plug in -3 for m (the slope) and 10 for b (the y-intercept)
y = -3x + 10
So now we have our equation.
I hope you find my answer and explanation helpful. Happy studying. :)
100,000,000 times 100,000,000 minus 200,000,000
Answer:
9.9999998e+15
Step-by-step explanation:
can i have brainliest
HELP OMG
I LOST MY AIRPODS AT SCHOOL
Answer:
how should we help?
Step-by-step explanation:
Answer:
dang that sucks..... try and play music at max vol and see if you hear any music coming from anywhere that's probably were the airpods are, if they are in the case then i dont know if u would hear anything. It all depends...
~ i hope this has helped ya out some how, hope ya find your airpods my friend!~
Step-by-step explanation:
Plzzzz guys help me with this i don’t know
Answer: B
Step-by-step explanation:
if I'm wrong sry lol
Answer:
D
Step-by-step explanation:
- 117° is positioned in the 3rd quadrant where sine < 0
The related acute angle is 180° - 117° = 63°
Then
sin(- 117)°
= - sin63° → D
Aaron bought a stereo system for $55 and spends $8.45 on parts. He sells the system for
$60. What is his profit/loss?
Answer:
his loss is $3.45
Step-by-step explanation:
you just add then subtract
Plz help question is in pic!
will mark brainliest
The college athletic director recorded the highest noise levels reached during 7 sporting events. The highs were:
88 decibels 88 decibels 88 decibels 87 decibels 84 decibels 97 decibels 95 decibels
What was the mean noise level recorded? Round your answer to the nearest whole number.
Answer:
90
Step-by-step explanation:
Mean:
(88 + 88 + 88 + 87 + 84 + 97 + 95)/7
627/7
89.57
90
9.
Jamal is asked to draw a circle. He is given the center and two points on the
circle, but he isn't told which point is which. The points are (-4,7), (3,6), and
(-1,3). Jamal draws the accurate circle from this information.
What is the equation of the circle he draws?
Answer:
C
Step-by-step explanation:
Hey, so i know you might not need help now, but i got the answer right on mine and it was C.
Hope this helps!
Find the value of a. Round your answer to the nearest tenth.
Answer:
Polly do you know the formula for law of Cosines?
find it if you don't
Step-by-step explanation:
a = sqrt( b^2 +c^2 - 2bcCos(A) )
a = sqrt( 100 + 62.41 -34.197)
a = sqrt(128.213)
a = 11.323
a = 11.3 ( to the nearest tenth )
How many solutions does the equation 4x-7(x-2)=3x+2 have?
Answer:
one solution, x=2
Step-by-step explanation:
brainliest?
Identify a function rule for the following ordered pairs:
{(0,-4), (2,0), (3, 2), (4,4)}
A)
y= x
B)
y= X-4.
C)
y= x-1
D)
y= 2x-4
Yes or no? Plzzz explain why
Answer: no
Step-by-step explanation:
Steven must have gotten this answer from 11 x 11, which is wrong. The reason is because of the square root.
[tex]\sqrt{11} = 3.3166247903554[/tex]
(roughly 3.32)
So using the formula for a square l x w, the square's area is 11.0224 or 11.02
pls help meh plssss asap
Answer:
1.) 150
2.) 10
Step-by-step explanation:
If you look at the chart, above the 25 in the seconds row in the gallons row is 150.
This means that the chart tells you there are 150 gallons for every 25 seconds.
The second question asks about 60 gallons. So, if you look at 60 on the gallons row, and look below it on the seconds row, you see 10.
This means the chart tells you there are 60 gallons for every 10 seconds.
The function y=-0.2x^2+1.9x models the path of a kicked soccer ball.The height is y,the distance is x, and the units are meters.How high does the soccer ball go?
Answer:
The highest height the ball achieves is 4.5125 meters.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
In this question:
Quadratic function [tex]y = -0.2x^2 + 1.9x[/tex], which has [tex]a = -0.2, b = 1.9[/tex].
The maximum height of the ball is [tex]y_{v}[/tex].
Then
[tex]\Delta = b^2-4ac = (1.9)^2 - 4*(-0.2)(0) = 3.61[/tex]
[tex]y_{v} = -\frac{3.61}{4(-0.2)} = 4.5125[/tex]
The highest height the ball achieves is 4.5125 meters.
CAN SOMEONE PLEASEEE HELP SIMPLIFY THESE TWO EXPONENT PROBLEMS I HAVE NO CLUE HOW
Answer:
20. [tex]-\frac{y^{12} }{9x^{4} }[/tex]
Step-by-step explanation:
21. [tex]3 x^{2} y^{2}[/tex]
After spending 2/3 of his money. Charles has 12 pesos left. How much did he have at first??
The total amount of money charles must have had at the beginning is 36 pesos.
What are fractional linear equations and how one can solve it?
Linear equations which are in the form of fractions are referred as fractional linear equations.
an equation containing the unknown in the denominator of one or more terms (as a/x + b/(x + 1) = c)
It is frequently simplest to eliminate the fraction in the first step when dealing with fractions incorporated into linear equations. Typically, this entails locating the fraction's LCD and multiplying each term in the entire equation.
Solution:
Given:
Money left with charles = 12 pesos
Money spent = 2/3 of the total amount.
Find:
Total Money he had at first = ?
Step-1:
Let x denote the total amount of money he had at the beginning.
After spending 2/3 of his money he is left with 1/3 of part of his money.
Step-2:
So the equation can be written as:
1x/3 = 12
x = 36
Hence the total money he had at the beginning was 36 pesos.
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what is this i HATE math Oh MY GOD
Mary and Carlos are each saving for new skateboards. So far, Mary has $9 saved
and earns $6 per hour babysitting. Carlos has $3 saved and can earn $9 per hour
working at his family's restaurant. After how many hours of work will Mary and
Carlos have saved the same amount and how much money will they both have?
Answer:
After 3 hours, both will have saved $21.
Step-by-step explanation:
get me the answer and explain
A ship is 130 m away from the centre of a barrier that measures /
180 m from end to end. What is the minimum angle that the
boat must be turned to avoid hitting the barrier?
Answer:
Step-by-step explanation:
50 meters away
The diagram shows a right-angled triangle.
All the measurements are in centimetres.
The area of the triangle is 18cm^2
Work out the length of the shortest side of the triangle.You must show all your working
Answer:
short side = 4
Step-by-step explanation:
area = 1/2BH
18 = 1/2(x - 1)(x + 4)
18 = 1/2(x² + 4x - x - 4)
multiply both sides of the equation by 2:
36 = x² + 3x - 4
x² + 3x - 40 = 0
(x + 8)(x - 5) = 0
x = 5
short side = 5 - 1 = 4
The shortest length of the right angled triangle is 4 cm.
Area of a triangle:area = 1 / 2 bhwhere
b = base
h = height
Therefore,
area = 18 cm²
18 = [tex]\frac{1}{2}[/tex] × (x - 1)(x + 4)
36 = (x - 1)(x + 4)
x² + 4x - x - 4 = 36
x² + 3x - 4 = 36
x² + 3x - 4 - 36 = 0
x² + 3x - 40 = 0
x² - 5x + 8x - 40 = 0
x(x - 5) + 8(x - 5) = 0
(x + 8)(x - 5) = 0
x = -8 or 5
we can only use positive numbers.
Therefore,
x = 5
The shortest sides is definitely one of the 2 legs . The hypotenuse of a triangle is the longest side.
Therefore,
h = x - 1 = 5 - 1 = 4 cm
b = x + 4 = 5 + 4 = 9 cm
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can somebody help me get both answers pls? ALSO PLEASE PLEASE DONT SEND YOUR LINKS
Answer:
x=30
m<G
3(30)-17
73
m<H
x+13
43
Step-by-step explanation:
Answer:
m∠G = 73°
m∠H = 43°
Step-by-step explanation:
Use the exterior angle theorem. The exterior angle theorem states that the exterior angle's measurement will be the sum of the two opposite interior angles. Set the equation:
(3x - 17) + (x + 13) = 116
First, combine like terms by simplifying:
3x + x - 17 + 13 = 116
4x - 4 = 116
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, add 4 to both sides of the equation:
4x - 4 = 116
4x - 4 (+4) = 116 (+4)
4x = 116 + 4
4x = 120
Next, divide 4 from both sides of the equation:
(4x)/4 = (120)/4
x = 120/4
x = 30
Plug in 30 for x for each angle measurement:
m∠G = 3x - 17
m∠G = 3(30) -17
m∠G = 90 - 17
m∠G = 73°
m∠H = x + 13
m∠H = 30 + 13
m∠H = 43°
Check:
180 - 73 - 43 = 64 (Summation of a triangle's angle).
180 - 64 = 116 (Theorem of line).