A farmer has 300 feet of fence available to
enclose a 4500 square foot region in the
shape of adjoining squares, with sides of
length x and y. The big square has sides of
length x and the small square has sides of
length y. Find x and y.
UUUULTTUUL
x= ? feet
y = ? feet
Given :
A farmer has 300 feet of fence available to enclose a 4500 square foot region in the shape of adjoining squares, with sides of length x and y.
The big square has sides of length x and the small square has sides of length y.
To Find :
The value of x and y.
Solution :
From attached figure perimeter is given by :
x + x + x + y + y + y + ( x-y ) = 300 ft
4x + 2y = 300
2x + y = 150 ...1)
Now, area is given by :
A = x² + y²
x² + y² = 4500 ...2)
Putting value of y in equation 2), we get :
[tex]x^2 + ( 150 - 2x)^2 =4500\\\\x^2 + 4x^2 + 22500-600x =4500\\\\5x^2 -600x + 18000=0\\\\x^2 - 120x +3600=0\\\\x^2-2\times x\times 60 + 60^2 =0\\\\(x-60)^2 =0\\\\x = 60\ ft[/tex]
y = 150 - ( 2× 60 )
y = 30 ft
Therefore, the value of x and y is 60 ft and 30 ft respectively.
What is the y-intercept when a line has a slope of 7 and passes
through the point (-1,-3)?
Help meeee!will give brainliest!
Answer
(2,0) Brainliest please
Step-by-step explanation:
6x +1.5x = 2
What is x=

[tex]\boxed{x=\frac{4}{15},~0.2667}[/tex]
Solution Steps:______________________________
1.) Combine 6x and 1.5x:[tex]6x+1.5x=7.5x[/tex]- You combine since these are like terms.
Equation at the end of Step 1:
[tex]7.5x=2[/tex]2.) Divide both sides by 7.5:[tex]7.5x[/tex] ÷ [tex]7.5=x[/tex][tex]2[/tex] ÷ [tex]7.5=[/tex]- We divide because we want to get x alone.
Equation at the end of Step 2:
[tex]x=\frac{2}{7.5}[/tex]3.) Expand the fraction by multiplying both numerator and the denominator by 10:[tex]2[/tex] × [tex]10=20[/tex][tex]7.5[/tex] × [tex]10=75[/tex]- We turned this into a fraction because we couldn't divide properly.
4.) Reduce the fraction to lowest terms by extracting and canceling out 5:[tex]20[/tex] ÷ [tex]5=4[/tex] [tex]75[/tex] ÷ [tex]5=15[/tex]- This step just means divide the lowest amount possible, which in this case is 5.
______________________________
Please help on 5 and 6
Help me out here please find the value of x
Answer:
6. 51
7. 31
8. 20
Step-by-step explanation:
2x+8=110
2x=102
x=51
2x+x-3=90
3x-3=90
3x=93
x=31
7x+x+20=180
8x+20=180
8x=160
x=20
Determine whether the table of values below represents a linear function. If it represents a linear function, write the function. If it does not represent a linear function, explain why not.
Answer:
The equation of a linear function is:
[tex]y = 2x+4[/tex]Step-by-step explanation:
Given the table
x y
-10 -16
-3 -2
1 6
2 8
Determining the slope between the points (-10, -16), (-3, -2)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-10,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)[/tex]
[tex]m=\frac{-2-\left(-16\right)}{-3-\left(-10\right)}[/tex]
[tex]m=2[/tex]
Determining the slope between the points (-3, -2), (1, 6)
[tex]m=\frac{6-\left(-2\right)}{1-\left(-3\right)}[/tex]
[tex]m=2[/tex]
Determining the slope between the points (1, 6),(2, 8)
[tex]m=\frac{8-6}{2-1}[/tex]
[tex]m = 2[/tex]
As the slope between the points is the same. Thus, the table represents the linear function.
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 2 and any point let say (1, 6)
[tex]y - 6 = 2(x-1)[/tex]
[tex]y-6 = 2x-2[/tex]
[tex]y = 2x-2+6[/tex]
[tex]y = 2x+4[/tex]
Therefore, the equation of a linear function is:
[tex]y = 2x+4[/tex]Use the drop-down menus to choose steps in order to correctly solve
4k - 6= -2k - 16 - 2 for k.
A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance
from point A to point C is 16 ft.
A
12 ft
B
15 ft
С
What is the distance from point A to point B in feet?
Answer:7
Step-by-step explanation:
دائرة مركزها o فيها الوتران cd,ab اذا علمت ان النقطة n نقطة منتصف الوتر cd والنقطة m نقطة منتصف الوترab وكان om=on وطول cn=6cm
فان طول AB يساوي :
c 24cm
b 12 cm
a 6 cm
Step-by-step explanation:
12cm
...............
Answer:
c 24cm
Step-by-step explanation:
Solve for n: 3+4n+n=2n+15
what is N??
Answer:
N = 4
Step-by-step explanation:
Please mark brainliest.
Answer:
n=4
Step-by-step explanation:
3+4n+n=2n+15
5n=2n+12
3n=12
n=4
CAN SOMEONE PLEASE HELP ME!!
Consider the polynomial function h(x) = -7x6 + 3x4 – 5x2.
What is the end behavior of the graph of h ?
Answer: As x -> ♾, h(x) -> -♾, and as x -> -♾,h(x) -> -♾
Step-by-step explanation:
The end behavior is x ----> ∞ then h(x) ----> -∞, and when x ----> -∞ then h(x) -----> -∞.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
h(x) = -7[tex]x^6[/tex] + 3 [tex]x^4[/tex]– 5x².
If we plot the Equation on the Graph we can see a parabolic Curve.
This Curve tells as x tends to ∞ the value of h(x) tends to -∞.
and, when x tends to -∞ the value of h(x) tends to -∞.
Hence, the end behavior is x ----> ∞ then h(x) ----> -∞.
and, when x ----> -∞ then h(x) -----> -∞.
Learn more about Function here:
https://brainly.com/question/2541698
#SPJ5
bruh math problems really be like
"sALLY aTe 7 PenCiLs, iF sHe vOmitS 3 hOw mAnY arE LeFt?"
smh.
Answer:
Bruu for real and they don't make sense LOL
Step-by-step explanation:
Answer:
FACTS lmbooo
Step-by-step explanation:
Which phrase matches the algebraic expression below?
2(x - 7) +10
Answer:
2 times the difference of x minus 7 plus 10
Step-by-step explanation:
When dealing with equations, you ALWAYS do the parentheses first. The first relationship x and 7 are going to have is being subtracted from eachother. Once you do that, you can do the rest of the equation. Hope this helps!
- A fish tank filter cleans 3 gallons of water every 1/4 hour. Set up and solve a proportion to determine how many gallons of water are cleaned in 4 hours.
Answer: 48 gallons in 4 hours
Step-by-step explanation:
3 gallons every .4 hours > 12 gallons every 1 hour > 48 gallons every 4 hours
Pascal reaches -12 meters only 3 seconds after passing 0. At what rate
does he run?
Answer:
About 30 m/s
Step-by-step explanation:
at an amusement park, children are charged an entrance fee of $20 plus $3 per ride and adults are charged an entrance fee of $28 plus $4 per ride. Identify your variable with a 'let' statement and write expressions for both children and adults that represent the cost for each group.
Answer:
T=3r+20 for the children and T=4r+28 for the adults
Step-by-step explanation:
Let r equal the amount of rides the person took, let T equal the total cost of the trip
Help pls!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
No
plss can someone do this ive been trying for hourss
Answer:
(6+y) (6-y) / 6-y
Step-by-step explanation:
Answer:
Negative Infinity
Aubree invested $500 into a mutual fund that paid 3% interest each year compounded annually. Find the value of the mutual fund in 12 years.
Answer:
FV= $712.88
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $500
Number of periods (n)= 12 years
Interest rate (i)= 3% compounded annually
To calculate the future value, we need to use the following formula:
FV= PV*(1+i)^n
FV= 500*(1.03^12)
FV= $712.88
Answer:
25%
Step-by-step explanation:
Because she divided it
find the linear equation from the points (-2,-6) and (2,-3)
Answer:
y = 3/4 x - 9/2
Step-by-step explanation:
find the slope by (y2-y1)/(x2-x1) and then substitute a point in
The lengths of 2 sides of a triangle are 26 and 48. What is the range of possible side lengths for the 3rd side of the triangle?
Answer:
16
Step-by-step explanation:
If you add the 26 and 48 you get 74 and then you subtract 74 from 90 since your total needs to be 90 and get your answer of 16
A truck is working to carry a batch of goods including sand and
stone but it can only carry 20 tons at most. The carriage
charges of each ton of sand and stone are 10 and 15 dollars
respectively. Its owner wants to earn at least 250 dollars. Write
a system of inequalities to express this situation. What is the
least possible number of tons of stone the owner needs to
carry to meet his own goal?
tons
Enter the answer
Check it
Answer:
Y=10
Step-by-step explanation:
No
WILL GIVE BRAINLIEST
Given the system of equations presented here:
4x + y = 4
2x + 6y = 24
Which action creates an equivalent system that will eliminate one variable when they are combined?
Multiply the first equation by −4 to get −16x − 4y = −16.
Multiply the second equation by −4 to get −8x − 24y = −96.
Multiply the first equation by −2 to get −8x − 2y = −8.
Multiply the second equation by −2 to get −4x − 12y = −48.
Answer:
Multiply the second equation by −2 to get −4x − 12y = −48.
Step-by-step explanation:
Given:
4x + y = 4 (1)
2x + 6y = 24 (2)
Multiply the second equation by −2 to get −4x − 12y = −48.
4x + y = 4 (1)
−4x − 12y = −48 (3)
Variable x can be eliminated by adding the equations
4x + (-4x) + y + (-12y) = 4 + (-48)
4x - 4x + y - 12y = 4 - 48
0 - 11y = -44
-11y = -44
Divide both sides by -11
y = -44/-11
= 4
y = 4
Answer: Multiply the second equation by −2 to get −4x − 12y = −48.
Step-by-step explanation:
Which expression is equivalent to 1/5 divided by 1/2?
A- 1/5 x 1/2
B- 1/5 x 2/1
C - 5/1 x 2/1
D 5/1 x 1/2
PLZZ HELP I NEED IT NOWW
A taxi in myrtle beach charges $2 per mile and $1 per person. If a taxi cab ride for 2 people cost $12, how far did the taxi cab travel ( don’t include units (miles) in the answer)
Answer:
I belive the answer is 5
Step-by-step explanation:
$12- $2 for ppl= $10
$10÷$2 per mile = 5
At the craft store, Mateo bought a bag of green and orange marbles. He received 27 green marbles and 63 orange marbles. What percentage of the marbles were green?
Answer:
30%
Step-by-step explanation:
please help first will be brainliest
Answer:
Just multiply or divide the numbers they give you try both
Step-by-step explanation:
Please help! Me and my bestie are both stuck on this. . .
Use table to solve the inequality 2x<2
Answer:
x>1
Step-by-step explanation:
Answer:
-2, 0, 2, 4, 6 these are the answers for the boxes and they are in order. solution x<1
Step-by-step explanation:
if you look at the box you will see that it says x and 2x at the bottom. The x at the top is the same as the one at the bottom. So they want you to multiply the number in the row of x by the number below x I hope this helps
A prime number has two factors, itself and 1? *
Answer:
That is true. More information below.
Step-by-step explanation:
A prime number has to have only two factors: 1 and itself. 1 only has one factor (itself) so it is, as you were saying, neutral.
