A rectangular vegetable patch has a perimeter of 36 meters and an area of 80 square meters. What are the dimensions of the vegetable patch?
Answer: 5 and 4
Step-by-step explanation:
Perimeter = 2 ( L + W)
18 = 2(L + W) divide through by 2
9 = L + W
9 - L = W
Area = L * W
20 = L (9 - L)
20 = 9L - L^2
L^2 - 9L + 20 = 0 factor
(L - 5) (L - 4) = 0
Set both factors to 0 and solve for L
L = 5 and L = 4
Please help me. I have been struggling with prob and stats.
Answer:
Step-by-step explanation:10
Need help with this question!!!
Pls explain!!!
3=-(4x+7)+3x
Answer:
x=-10
Step-by-step explanation:
3=-(4x+7)+3x
move all terms to the left:
3-(-(4x+7)+3x)=0
calculate terms in parentheses: -(-(4x+7)+3x), so:
-(4x+7)+3x
add all the numbers together, and all the variables
3x-(4x+7)
get rid of parentheses
3x-4x-7
add all the numbers together, and all the variables
-1x-7
Back to the equation:
-(-1x-7)
get rid of parentheses
1x+7+3=0
add all the numbers together, and all the variables
x+10=0
move all terms containing x to the left, all other terms to the right
x=-10
Find the distance between the two points. (-1, 6), (2, 8) Round to the nearest hundredth
Answer:
[tex]d = \sqrt{13}[/tex] or d = 3.61
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(2-(-1))^2+(8-6)^2}\\d= \sqrt{(3)^2+(2)^2}\\d= \sqrt{9+4}\\d= \sqrt{13}[/tex]
The distance between points (-1, 6) and (2, 8) is obtained as 3.59 units.
How to use distance formula?The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) as √((x₁ - x₂)² + (y₁ - y₂)²).
By knowing the sides, the area of different polygons such as parallelogram, trapezium and rectangles etc. can be found.
The coordinates of the given points are (-1, 6) and (2, 8).
Apply distance formula to get the distance as below,
Distance = √((-1 - 2)² + (6 - 8)²) = √13 = 3.59
Hence, the required distance between the two points is given as 3.59 units.
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Whats a Radicant? I don't mean a radicand, radical, or radical sign. A Radicant. I can't find anything about it anywhere! :( Please explain in the simplest way you can too pls!
Answer:
The number under the (radical) symbol. That is, a number which is having its square root taken (or cube root, 4th root, 5th root, nth root, etc.). For example, 3 is the radicand in .
Step-by-step explanation:
3. On a coordinate grid, the location of a lighthouse is at L, and the location of a buoy is at B. At noon, a ship is at the midpoint of the segment connecting the buoy and the lighthouse on the grid. Find the coordinates that best represent the ship's position at noon?
Answer:
b
Step-by-step explanation:
im 50% sure this write dont blame me man
The coordination of the ship's position at noon will be (0.5,2).
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. they are typically expressed by the x-value and y-value pairs (x,y).
As per the given L(-4,7) and B(5,-3)
The midpoint of the above coordinates will be given as,
x = (-4 + 5)/2 = 1/2
y = (7 - 3)/2 = 2
Thus, (0.5,2) will be the location of the ship.
Hence "The coordination of the ship's position at noon will be (0.5,2)".
For more about coordinates,
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The missing photo is attached below,
67+k = 83
solve for k
no work needed
Answer:
k = 16
Step-by-step explanation:
Isolate the variable, k. 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 =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
Subtract 67 from both sides of the equation:
k + 67 = 83
k + 67 (-67) = 83 (-67)
k = 83 - 67
k = 16
16 is your answer for k.
~
y is inversely proportional to the cube of x. It is given that for a certain value of x, the value of y is 7. Find the new value of y when x is doubled.
Inversely proportional means as one variable increases the other variable decreases.
In this problem, x is doubled which means it's increased, therefore, y is decreased.
7 / 2 = 3.5
The new value of y is 3.5
Suppose a class has 24 chairs,6 tables, and 2 teachers, what is the ratio of chairs to tables
Step-by-step explanation:
A ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. A ratio has a colon between the 2 numbers you are comparing.
Example: 3:5
The question is asking the ratio of chairs to tables. There are 24 chairs so the ratio so far is 24:t. There are 6 tables.
24:6
Hope it helps!
Pls Help me with ths question
Answer:
Step-by-step explanation:
x=√(5+2√6)/(5-2√6)
x²(x-10)²=1
substitute the value of x in the equation
[√(5+2√6)/(5-2√6)]²(√(5+2√6)/(5-2√6) -10)²=
solve :
(49+20√6)(49-20√6)=1 multiply
1=1 proved
(25 X 43) + (25 x 57) =
Answer:
2500
Step-by-step explanation:
Step 1:
( 25 × 43 ) + ( 25 × 57 )
Step 2:
1075 + 1425
Answer:
2500
Hope This Helps :)
What is standard form?
Y = mx + b
O Ax+By = C
a^2 + b^2 = 2^2
m is the slope
Answer:
I'm pretty sure y=mx+b is standard form, unless I'm reading the question wrong.
Step-by-step explanation:
(4-5i)(-2+7i) what is the answer
Answer:
27 + 38 i
Explanation:
(4 - (5 * i)) * ((-2) + (7 * i)) =
Answer:
[tex] - 35 {i}^{2} + 10i + 20[/tex]
Step-by-step explanation:
-8 + 28 + 10i - 35i^2
-35i^2 + 10i + 20
(2x-5)/4=6 pls solve it!!
Answer:
ans is 29/2
Step-by-step explanation:
2x-5/4 =6
2x-=24+5
x= 29/2
Answer:
10
Step-by-step explanation:
(2x-5)/4=6
Or, 2x-5=24
Or, 2x=24+5
Or,2x=29
Or,x=29÷2
Or,x=14.5
Find the sum (9r2+4r-7)+(3r2-3r)
Answer:
12r^2 +r-7
Step-by-step explanation:
Cesar has read 89 pages of a book for his
English class. If the book has 257 pages and
he can read 21 pages per hour, how many
hours will it take Cesar to finish the book?
a. 168
b. 8
C. 12
d. 5
Answer:
X=8
Step-by-step explanation:
First subtract the read pages with the unread pages which is 168.
Then let 21 pages = to one hour then 168pages(the remaining pages) = x then cross multiply and divide then your answer will be 8
Can someone please help
Answer:
-6 degrees F
Step-by-step explanation:
We start with -8F as the temperature. It fell 10 degrees to 2F, then fell 8 degrees to -6F.
Answer:
The answer is 10 because -8 plus 10 is 2 - (-8) is still 10 however that's in a calculator the correct answer is -6
2. Write the equation of the line that goes through (5, 4) and has a slope
NEEED HELLLPPPPP PLEASEEE
Option 2
Step-by-step explanation:
[tex](5,4) = (x_1,y_1) \\ m = \frac{4}{5} [/tex]
Substitute values into the point slope form
y-y1 =m(x-x1)
y- 4= 4/5(x-5)
y -4= 4/5x -4
y= 4/5 x -4+4
y= 4/5x
Given f(x) = 2x + 15 and g(x) = 7x - 4,
find (f o g)(x).
Answer:
Step-by-step explanation:
f(g(x))
g(x) = 7x -4
f(7x - 4) = 2(7x - 4) + 15 = 14x - 8 + 15 = 14x + 7
Determine the answer to (−5) + 4 and explain the steps using a number line.
Answer:
-1
Step-by-step explanation:
when adding on a number line you always go to the right.
-5+4=-1 , so you would move 4 places to the right on the number line.
-1 7/8 + -6 Help, please.
Solve the system of equations: 3x + 4y = 11 x – 2y = – 3
Answer:
{x,y}={1,2}
Step-by-step explanation:
Can anyone help with number one?
|9x - 9| = 36
To solve for the first solution, simply disregard the absolute value signs.
9x - 9 = 36
Add 9 to both sides
9x = 45
Divide both sides by 9
x = 5
To find the second solution, disregard the absolute value signs and change 36 to -36
9x - 9 = -36
Add 9 to both sides
9x = -27
Divide both sides by 9
x = -3
Now, we need to find the sum of these two solutions.
5 + (-3) = 5 - 3 = 2
i need help with my math problem 8(−12)=
Answer:
The answer is -96
Step-by-step explanation:
First, you need to think of the question as a normal multiplication question. When there is a number in parenthesis next to a number with no symbol in between, that means multiplication. So multiply 8 with 12. This would equal 96. Since the sign of the greater number is negative, you would put a negative sign before the number 96, giving you the answer -96.
I hoped that helped! You are welcome! :)
Given f(x) = 5x - 3, find f(-2).
Answer:
-13
Step-by-step explanation:
Subsitude -2 to where x is and you get -1o then subtract by -3 and the total is -13
Shoes cost $60.00. Discount is 20%. Sales price is equal to?
$10
$20
$30
$40
Answer:
it is D ..................
Answer:
$40 is the sales price after a 20% discount.
(*Edited as the shoes are $50.00, not $60.00)
Step-by-step explanation:
When calculating discounts, we can convert the percentage to a decimal and multiply by the original sales price:
[tex]50(.20)[/tex]
Multiply.
[tex]50(.20)=10[/tex]
Subtract your product from the sales price.
[tex]50-10[/tex]
Subtract.
[tex]50-10=40[/tex]
Let f(x)=-3x and g(x) = 2x-1
Find the following: 4g(x) - f(x)
Answer:
11x-4
Step-by-step explanation:
f(x)=-3x
g(x) = 2x-1
4g(x) - f(x)
4(2x-1) - ( -3x)
Distribute
8x -4 +3x
Combine like terms
11x-4
Here, we are provided with two polynomials f(x) and g(x),and we need to find 4g(x) - f(x).
Given,
f(x) = -3xg(x) = 2x - 1Now,we need to find 4g(x) - f(x). We will simply substitute the given value of polynomials to get the answer.
[tex]4g(x) - f(x)[/tex]
[tex]4(2x - 1) - ( - 3x)[/tex]
Opening the parentheses,
[tex]8x - 4 + 3x[/tex]
Now combing the like terms, and adding them,
[tex]8x + 3x - 4[/tex]
[tex] \boxed{11x - 4}[/tex]
This is our final result.
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Find the area of a rectangle with base 4 ft and helght 4 in.
Answer:
16in ^2
Step-by-step explanation:
4*4
Answer:
Area of rectangle is 16
Step-by-step explanation:
Area of rectangle = base, 4, times the height, 4
Area of rectangle = 4 times 4
Area of rectangle = 16
If f(x) = 8.3x + 8.1, solve f(x) = 65.37. Type your answer as a decimal rounded to the nearest tenth.
Answer:
The answer is 6.9Step-by-step explanation:
f(x) = 8.3x + 8.1
To solve f(x) = 65.37 , equate f(x) to 65.37 and solve for the value of x
That's
8.3x + 8.1 = 65.37
Subtract 8.1 from both sides
That's
8.3x + 8.1 - 8.1 = 65.37 - 8.1
8.3x = 57.27
Divide both sides by 8.3
[tex] \frac{8.3x}{8.3} = \frac{57.27}{8.3} \\ x = 6.896385[/tex]
We have the final answer as
6.9 to the nearest tenthHope this helps you
Which of the following statements best describes the value of the expression 8x – 5, when x = 3? A. The result is not a whole number. B. The result is a prime number. C. The result is a composite number. D. The result is a whole number that is neither prime nor composite. help lol
Answer:b
Step-by-step explanation:8 times 3 is 24 minus 5 is 19. prime numbers are 1 times itself so its B and composite numbers are like four 2 times 2 and 4 times 1.
Answer: B
Step-by-step explanation: When you insert the 3 in place of x, the equation is 8(3)-5 which equals 19. Composite means that numbers can be multiplied to get it. For example, the number 12. You can multiply 3 and 4 or 2 and 6 to get it, making it a composite number. For a number to be prime, the only numbers that can be multiplied to get it is 1 and itself. Let's use the number 3 as an example. The only way you can get 3 by multiplying is by multiplying 1 and 3 (1 and itself as said before). Hope this helps!