A plot of land doubles in size by adding x meters to the length and x meters to the width of the land?if the original plot had an area of 200 by 300 meters ,what is the value x?
Answers
Answer:
x = 100
Step-by-step explanation:
The larger area is ...
A = LW
A = (300+x)(200+x) = x^2 +500x +60,000
The smaller area is ...
A = (200)(300) = 60,000
We want the larger area to be double the smaller area, so ...
x^2 +500x +60,000 = 2(60,000)
x^2 +500x = 60,000 . . . . . . . . . . . . subtract 60,000
x^2 +500x + 62500 = 122500 . . . add 250^2 to complete the square
(x +250)^2 = 350^2
We're interested in the positive solution, so we can take the positive square root to find it:
x +250 = 350
x = 100 . . . . . . . . . subtract 250
_____
The graph shows the quadratic in the form x^2 +500x -60,000. That is, we're looking for zeros (x-intercepts) of the function.
Related Questions
A photographer charges $12 for a set of 20 pictures. Each picture cost the same amount. At this rate, how many pictures cost $30?
Answers
Answer:
Step-by-step explanation:
20/12 = 1 2/3
30 ÷ 1 2/3
= $18
Kinsey adds -1 7/8 and it's opposite
Answers
Answer:
0
Step-by-step explanation:
the opposite is 1 -7/8 when you add them together they cancel out to zero
In order to make a specific shade of green paint, a painter mixes 1/2
of a gallon of blue paint with 4/5
of a gallon of yellow paint.
How many gallons of each color are needed to make 26 total gallons of this color?
Answers
10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.
Let x represent the total amount of paint.
(1/2)x + (4/5)x = 26
1.3x = 26
x = 20
Therefore:
Amount of blue paint = (1/2)x = (1/2)*20 = 10 gallons
Amount of yellow paint = (4/5)x = (4/5)*20 = 16 gallons
10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.
Find out more on equation at: https://brainly.com/question/2972832
How do I solve this question?
Answers
Answer:
A
Step-by-step explanation:
throat bababy
simplify the expression.
Answers
Answer:
-6m^2 *n^2
Step-by-step explanation:
formula: (m^x)/(m^y)= m^(x-y)
apply formula for (4m^2)/(2m^-3)
=(4m^(2--3)/(2)
=4m^5/2
divide 4/2
=2m^5
next part 3n^5/(-mn)^3
3n^5/(-mn)^3
expand
=3n^5/ (-m^3*n^3)
=3n^(5-3)/ -m^3
=3n^2/ -m^3
both parts:
(2m^5* 3n^2)/ -m^3
= -(2m^5* 3n^2)/ m^3
= -(2m^(5-3)* 3n^2)/ 1
= -(2m^2* 3n^2)
= -(6m^2*n^2)
= -6m^2 *n^2
if a= { } b= {1,2} then n(a×b) is
Answers
Answer:
A={a,b,c}
B={1,2}
A×B={(a,1),(a,2),(b,1),(b,2),(c,1),(c,2)
please help and show work I'll mark you brainliest if I can
Answers
Answer: If your talking about the angle degree it is 45°
Step-by-step explanation:
how to find the intervals of increasing and decreasing
Answers
Answer:
Given a function f(x), for determining in what intervals the function is increasing (or decreasing) you can calculate its derivative f'(x) and put it greater than 0 (or smaller than 0). It will give you some intervals.
When you multiply a number by 25, subtract the result from 2000, and divide everything by 5, you will get 150. What is the initial number?
Answers
Answer:
110
Step-by-step explanation:
150*5=750
750+2000=2750
2750/25=110
Answer:
The number is 110
Explanation:
To find the number you have to reverse everything so we will start by the number 150, it says that after dividing by 5 we get 150 so we will multiply 150 with 5 because the opposite of decision is multiplication the answer we get is 750. Then you go a step back again and it says to subtract 2000 and the opposite of subtraction is addition so we add 2000 to 750 and we get 2750. Now we go a step back again and it says to multiply by 25 and the opposite of multiplication is division so we will divide 2750 with 25 and we get 110
Step by step:
150×5= 750
=> 750+2000= 2750
2750÷25= 110
please help with this
Answers
Answer:
[tex]y = \frac{1}{8} x - 3[/tex]
Step-by-step explanation:
Formula for straight lines:
[tex]y = mx + b[/tex]
where m = slope, b = constant
Given:
y-intercept = -3 (0, -3)
m = ⅛
Substitute into formula to find b.
[tex] - 3 = \frac{1}{8} (0) + b \\ - 3 = 0 + b \\ b = - 3[/tex]
Substitute b into original formula
[tex]y = mx + b \\ y = \frac{1}{8} x + ( - 3) \\ y = \frac{1}{8} x - 3[/tex]
Evaluate P(3, 3)
A. 1
B. 9
C. 6
Answers
Answer:
6
Step-by-Step explanation:
P (n,k) where n=k is equal to n!
So, P (3,3) = 3! = 6
Generally, P (n,k) = n!/(n-k)!
a
Aiden and his parents are looking at what cell phone plan is the best deal financially.
Cherokee Cell company quoted them a base price of $20 a month plus $2 per text
message. The second store that Aiden and his family visited was Warriors Wifi. They
charged $80 a month plus $0.50 per text message. Based on this information, what is
the better deal for Aiden and his family if Aiden plans on sending 175 text messages a
month and why?
O Cherokee Cell is the better deal because it will cost $70 for 25 texts.
Cherokee Cell is the better deal because it will cost $167.50 for 175 texts.
O Warrior Wifi is the better deal because it will cost $167.50 for 175 texts.
Warrior Wifi is the better deal because it will cost $70 for 25 texts.
Answers
Answer:
Warrior WiFi is better because it costs 167.50 for 175 texts.
Step-by-step explanation:
2x175 = 350 + 20 = 370
0.50x175 = 87.5 + 80 = 167.5
math question help plsss
Answers
Point A is at (1,1) then point B is three units down and point C is three over from point B :)
What are the factors of
[tex] {x}^{2002} - 1[/tex] ?
I want step-by-step explanation. Spam free answer required
Answers
Step 1: Trying to factor as a Difference of Squares:
Factoring: x²⁰⁰² - 1
Theory : A difference of two perfect squares, A² - B² can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A² - AB + BA - B² =
A² - AB + AB - B²
A² - B²
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 1 is the square of 1
Check: x²⁰⁰² is the square of x¹⁰⁰¹
Factorization is : (x¹⁰⁰¹ + 1) × (x¹⁰⁰¹ - 1)
Select all equations that represent this question:
Priya is stacking building blocks to make a tower. She takes a break when the tower is 2 1/2 feet tall, which is 5/8 of the hight of the tower she wants ti build. How tall is the tower when finished?
Answers
Answer:
4 feet tall
Step-by-step explanation:
First find the unit rate of how close she is to being completed / the height of the tower
2.5/5 =.5
Next, multiply .5x8 = 4 feet fall when she is done
can someone please help me with this
Answers
Answer:
a or b.
Step-by-step explanation:
Malin and Shawn begin with the same number, $t$. Malin subtracts $6$ from $t$ and then divides the result by $6$. Shawn adds $7$ to $t$ and then divides the result by $7$. If Malin's final answer is the same as Shawn's final answer, what was the number $t$
Answers
Answer:
t=84
Step-by-step explanation:
Malin's answer is $\frac{t-6}{6}$. Shawn's answer is $\frac{t+7}{7}$. We know these are equal, so we have the equation
$$\frac{t-6}{6} = \frac{t+7}{7}.$$
To eliminate denominators from the problem, we multiply both sides by $6\cdot 7$:
$$\frac{6\cdot 7\cdot (t-6)}{6} = \frac{6\cdot 7\cdot (t+7)}{7},$$
then simplify to get
$$7\cdot (t-6) = 6\cdot (t+7).$$
The parentheses are important here! For example, the parentheses on the left side of the equation tell us that it is $t-6$, not just $t$, which is multiplied by $7$.
Now we expand using the distributive property:
7t - 7\cdot 6 &= 6t + 6\cdot 7;\\
7t - 42 &= 6t + 42.
Adding $42$ to both sides gives
$$7t = 6t + 84,$$
then subtracting $6t$ from both sides gives $t=\boxed{84}$.
(We can check that starting from $t=84$, Malin and Shawn do indeed get the same final answer -- namely, $13$.)
help this is due today?
Answers
Answer:
2s for the first box
6u for the second box
Step-by-step explanation:
when they say like terms, just think about how the letter parts of the expression are the same
like 1/2s and 2s both have the singular variable s
and how 6u and 9u both have the singular variable u
To solve this one you have to find the ones that are connected by variables or look the same
For example.
1x and 2x are like terms because they have the same variable X
4d and 6/2d are like terms because they have the same variable D
4 and 3 are like terms because they have no variables, and they are the same
So now that you understand what like terms are you may so it
1/2 and 2s are like terms because they share the same variable S
6u and 9u are like terms because they share the same variable U
I hope this helped and if it's wrong blame me
Ps. Brainlist would really help
A side length of a regular nonagon is an integer. The perimeter of the nonagon is 80
when rounded to the nearest ten. Determine the integer side length.
Answers
If the side length is n, then the perimeter is 9n. The closest multiple of 9 to 80 is 81, so n = 9.
Step-by-step explanation:
A nonagon is a shape with 9 sides. A regular shape means that all angles and sides of the shape is equal. That means let call the side of the nonagon, n. That means the perimeter which is 80, which means all side, n will add up.
[tex]n + n + n + n + n + n + n + n + n = 80[/tex]
or
[tex]9n = 80[/tex]
Solve for n
[tex]n = \frac{80}{9} [/tex]
This rounded would make our interger side, 9
write an equation in slope intercept form for the line that passes through the point, and is perpendicular to the line y=-1/3x+9;(-6,-2)
Answers
Answer:
Step-by-step explanation:
y=-1/3x+9
This is written in the format y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
Perpendicular lines have a slope that is the negative inverse of the slope of the reference line, in this case -(1/3). The new slope is 3. equation is:
y = 3x + b
To find b, enter the given point, (-6,-2) and solve for b:
y = 3x + b
-2 = 3(-6) + b
-2 = -18 + b
b = 16
The full equation is y=3x + 18
Each child in the Martin family decided to save money for the family vacation.
Mrs. Martin asked the children to show how they would spend the money if given $20 each week for 8 weeks.
Which person would have the most money left for the vacation?
Answers
Answer:
The story is not clear enough to provide the answer
Step-by-step explanation:
First of all we do not know how many childen are in the Martin Family
[tex]20 \times 8[/tex]
=$160
So depending on how each child sends and how many children will determine which kid will have most of the money left
Determine whether the lines 3x+2y=6 and 4y=-6x-12 are parallel, intersect, or coincide
Answers
Answer:
parallel
Step-by-step explanation:
3x + 2y = 6 can be written as y = -3/2x +3
4y = -6x -12 can be written as y= -3/2x-3
same slope different y intercept so parallel
Identify the vertical asymptotes of f(x) = quantity x plus 6 over quantity x squared minus 9x plus 18. X = â’6 and x = â’3 x = â’6 and x = 3 x = 6 and x = â’3 x = 6 and x = 3.
Answers
The vertical asymptotes of the function are 3 and 6
Given the function
[tex]\frac{x+6}{x^2-9x+18}[/tex]
The vertical asymptotes of the function occur at the point where the denominator is zero.
Equate the denominator to zero.
x^2 - 9x + 18 = 0
Factorize the quadratic expression:
x^2 - 3x - 6x + 18 =0
x(x-3)-6(x-3) = 0
(x-3)(x-6) = 0
x - 3 = 0 and x - 6 = 0
x = 3 and 6
Hence the vertical asymptotes of the function are 3 and 6
Learn more on vertical asymptotes here: https://brainly.com/question/21678319
Use the graph to describe what transformation has taken place. List your answer below.
Please help! I'll give brainliest.
Answers
Answer:
Reflection over y-axis (-x,y)
Step-by-step explanation:
Reflection over y-axis (-x,y)
A (-2 , 4) , A'( 2,4)
you can check the rest.
Alisha has a five–year car loan of $15,000 with an interest rate of 6 percent. If the interest is compounded annually, how much will she pay in total for her car?
Answers
Answer:
$20,073.38
Step-by-step explanation: Step 1: Find the percentage. The formula for annual compound interest is A = P(1 + r)^t, where A = amount (total amount), P = principal (initial amount), r = rate (percentage), and t = time (in years). Our rate is 6%, which is 0.06 in decimal form. Add it to 1. 1 + 0.06 is 1.06.
Step 2: Raise 1.06 to the 5th power. Because we are finding the amount in 5 years, we do that step. 1.06^5 is 1.3382255776.
Step 3: Do not delete the decimal from the calculator. Multiply it by 15,000 to find the total amount. When you do, you get 20,073.383664 or 20,073.38 when rounded to the nearest hundredth.
Complete all 4 problems
Answers
Answer:
7)-6a
8)7
9)x-1
10)8-k
Step-by-step explanation:
Here in every steps we took like terms to be added and finally there are no more like terms we cannot add nor subtract and we get answer
Answer:
7. -6a
8. 6x +5
9. x + 1
10. -k + 8
Step-by-step explanation:
7. A=1 1-7= -6 a - - 7a = -6a
8. 3x + 3x= 6x
6-1=5
6x+5
9. -8x + 9x = x
3-2 =1
x+1
10. 4+4 =8
k- 2k= -k
-k + 8
Triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2).
?
Complete the following equation for a line passing through point C and perpendicular AB.?
Answers
Answer:
5y - 6x = 8 or y = 6x/5 + 8/5
Step-by-step explanation:
let M1= gradient of line AB and M2= gradient of the second line
When two lines are perpendicular, the product of their gradients is -1
i.e, M1M2= -1
M2= -1/M1
A(2,9) and B(8,4)
gradient= (y2-y1)/(x2-x1)
M1= (4-9)/(8-2)
= -5/6
M2= -1÷ -5/6
-1 × -6/5= 6/5
Equation of the line passing through C(-3,-2)
[y-(-2)]/[x-(-3)= 6/5
(y+2)/(x+3)= 6/5
5(y+2)= 6(x+3)
5y+10=6x+18
5y= 6x + 8
y= 6x/5 + 8/5
As per the slope-intercept form of a straight line, the equation of the required line is 5y = 6x + 8.
What is the slope-intercept form of a straight line?The slope-intercept form of a straight line is: y = mx + c
Here, m = slope of the line , c = y-intercept
What is the relation between the slope of a line perpendicular to another line?If the slope of a line is 'a', then the slope of the line that is perpendicular to the given line is (- 1/a).
The given coordinates of the points A, B, C are (2, 9); (8, 4); and C(- 3, - 2) respectively.
Therefore, the slope of the line AB is (m)
= (y₂ - y₁)/(x₂ - x₁)
= (4 - 9)/(8 - 2)
= (- 5)/6
Slope of the required line is perpendicular to AB.
Therefore, the slope of the required line is
= - 1/(- 5/6)
= 6/5
This line passes through point C(- 3, - 2).
- 2 = - 3(6/5) + c
⇒ c = -2 + 18/5
⇒ c = 8/5
The equation of the required line is
y = (6/5) x + (8/5)
⇒ 5y = 6x + 8
Learn more about the slope-intercept form of a straight line here: https://brainly.com/question/19465597
#SPJ3
Find the gradient of the line segment between the points (10,-4) and (6,-16).
Answers
someone please help me with this question, pleaseeeee :/
tyyyyy!
Answers
Answer:
4x+9y-27=0
compare and fill em
hope it helps
Answer:
2
Step-by-step explanation:
y=1y
x=1x
so the answer will be 2.
may be
hope to help!!!
Mir. White has a beach lot that is 60 feet wide.
What is the width of his lot in yards?
Answers
Answer:
20 Yards
Step-by-step explanation:
3 feet = 1 yard
60 / 3 = x yards
20 yards