Use a product of two binomials to find a polynomial that represents the area of Roberto's plot.
Answers
Answer:
First, we know that the area of a rectangle of width W and length L is:
A = W*L
In the case of Roberto's plan, we can see that the length of the whole rectangle is:
L = 1.5ft + x + 1.5ft = 3 ft + x
And the width is:
W = 3ft + x + 3ft = 6ft + x
Then the area of the whole thing is:
A = (3ft + x)*(6ft + x)
This is what we wanted, a product of two polynomials that represents the area of Roberto's plot.
Now if we subtract the white square (is a square of sidelength x, then its area is A = x*x) we will get the area of the border;
The total area of Roberto's borders is:
Area of the border = (3ft + x)*(6ft + x) - x*x
= 3ft*6ft + 3ft*x + x*6ft + x^2 - x^2
= x*9ft + 18ft^2
Related Questions
3(3v-5) = 39
Simplify your answer as much as possible.
Answers
Answer:
v = 6
Step-by-step explanation:
Given
3(3v-5) = 39
So,
3v - 5 = 39 / 3
=> 3v - 5 = 13
=> 3v = 13 + 5
=> 3v = 18
=> v = 18 / 3
=> v = 6
#HopeItHelps
Answer:
V=6
Step-by-step explanation:
Hope this helped! :)
Simplifying
3(3v + -5) = 39
Reorder the terms:
3(-5 + 3v) = 39
(-5 * 3 + 3v * 3) = 39
(-15 + 9v) = 39
Solving
-15 + 9v = 39
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 9v = 39 + 15
Combine like terms: -15 + 15 = 0
0 + 9v = 39 + 15
9v = 39 + 15
Combine like terms: 39 + 15 = 54
9v = 54
Divide each side by '9'.
v = 6
Simplifying
v = 6
HURRRYYYY
Evaluate the following expression: 7 + 3b + 4b use a=3 and b=5
Answers
Answer:
222222222222224.705876
Answer:
42
Step-by-step explanation:
You would substitute B where is needs to go, 7 + 3(5) + 4(5). First multiply 3 x 5 to get 15, and then multiply 4 x 5 to get 20, 7 + 15 + 20. 7 + 15 = 22 + 20 = 42. I hope this helps.
How to solve 3 3/5 - 2/3?
Answers
5
to a improper fraction: 3 3/5 = 3 3/
5
= 3 · 5 + 3/
5
= 15 + 3/
5
= 18/
5
To find new numerator:
a) Multiply the whole number 3 by the denominator 5. Whole number 3 equally 3 * 5/
5
= 15/
5
b) Add the answer from previous step 15 to the numerator 3. New numerator is 15 + 3 = 18
c) Write a previous answer (new numerator 18) over the denominator 5.
Three and three fifths is eighteen fifths
Subtract: 18/
5
- 2/
3
= 18 · 3/
5 · 3
- 2 · 5/
3 · 5
= 54/
15
- 10/
15
= 54 - 10/
15
= 44/
15
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(5, 3) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 3 = 15. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - eighteen fifths minus two thirds = forty-four fifteenths.
The value of the expression 3 ³/₅ - 2/3 in mixed fraction number will be 2 ¹⁴/₁₅.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 3 ³/₅ - 2/3
Convert the mixed fraction number into a fraction number. Then we have
⇒ 3 ³/₅
⇒ 18 / 5
Then the expression is written as,
⇒ 3 ³/₅ - 2/3
⇒ 18/5 - 2/3
⇒ (18 x 3 - 2 x 5) / 15
⇒ (54 - 10) / 15
⇒ 44 / 15
⇒ 2 ¹⁴/₁₅
The worth of the articulation 3 ³/₅ - 2/3 in the blended part number will be 2 ¹⁴/₁₅.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
[PLEASE HELP! DUE IN 3 HOURS!]
In order to help her save money for college, Latasha's grandparents deposited $10,000 into a savings account five years ago. Latasha has not made any withdrawals or deposits since then. The interest rate on the savings account is 3.75% each year.
Using simple interest, how much interest has accrued in Latasha's savings account?
What is the total amount in Latasha's savings account?
Answers
What percent of 70 is 84?
% of 70 is 84.
Answers
Answer:
120
Step-by-step explanation:
Just did this
Answer:
ig 174
Step-by-step explanation:
Which equation shows how (-10,8) can be used to write the equation of this line in point-slope from?
Answers
Options :
y – 8 = –0.15(x – 10)
y + 8 = –0.15(x – 10)
y – 8 = –0.2(x + 10)
y + 8 = –0.2(x – 10)
Answer:
y – 8 = –0.2(x + 10)
Step-by-step explanation:
(-10, 8)
General equation in point - slope form:
y - y1 = m(x - x1)
m = slope
Given the points : ( - 10, 8)
x1= - 10 ; y1 = 8
y - y1 = m(x - x1)
Substitute the values of x and y into the equation :
y - 8 = m(x - - 10)
y - 8 = m(x + 10)
The best option which fits is :
y – 8 = –0.2(x + 10)
BAnswer:
Step-by-step explanation:
Turtle
passes through (-1, -5) and (2, 6)
Answers
Answer:
[tex]y = \frac{11}{3}x + -\frac{4}{3}[/tex]
Step-by-step explanation:
[tex]y = mx + b\\m = \frac{-5 - 6}{-1 - 2} = \frac{-11}{-3} = \frac{11}{3} \\\\y = \frac{11}{3}x + b\\6 = \frac{11}{3}(2) + b\\6 = \frac{22}{3} + b \\6 - \frac{22}{3} = b \\b = -\frac{4}{3}\\\\y = \frac{11}{3}x + -\frac{4}{3}[/tex]
65 points! can someone help me understand this problem
Answers
Answer:
117
Step-by-step explanation:
It would be angle 117, because angle V and angle O are the same size and shape.
Jessica's business has 83 rolls of toilet paper. Customers use 3 rolls of toilet paper per day.
Write an expression to represent the amount of toilet paper after d days. i dont understand can someone post an answer an explain?
Answers
Complete this sentence: The sign of a positive number divided by a negative number is always ____________________.
Answers
Answer:
Step-by-step explanation:
Negative
PLEASE HELPPP ILL DO ANYTHING PLEASE
Answers
Answer:
7 2/3
Step-by-step explanation:
We can divide 23/3 which teh closest whhole number is 7 and we have a remainder of 2. So 7 2/3
Answer: Hello! Your answer should be 7 2/3, hope this helps
Step-by-step explanation:
PLEASE HELP ME!!! WILL GIVE BRAINLIEST!! TELL ME IF IM CORRECT!!
Answers
Answer
x=0,5
Step-by-step explanation:
HELP PLEASE ASAP!!!!!!!!
Brainliest goes to correct answer and 30 points given!!!!!
Answers
Answer:
lol lots of luck
Step-by-step explanation:
Determine the value of x to form equivalent fractions 4/5 = x/30
4
24
5
10
Answers
8. Una receta para hacer dulce de membrillo indica que la cantidad de fruta debe
ser una vez y media la cantidad de azúcar. Contesta.
a) Si se usan 2 kg de membrillo, ¿cuántos kilogramos de azúcar se necesitan?
Answers
Answer:
1.67 kilogramos de azúcar
ASAP. Triangle ABC has angle measures as shown. complete sentences
(a) What is the value of x? Complete sentence. Show your work.
(b) What is the measure of each angle? Do the 3 angles add to 180 degrees? Show your work
Answers
In a triangle, the three angles ALWAYS add up to 180°
x + (6x + 10) + (x + 2) = 180
8x + 12 = 180
8x = 168
x = 21
To calculate the measure of each angle, substitute x in:
Angle A: 21
Angle B: 6(21)+10
Angle C: 21 + 2
Do the angles add up to 180 degrees? Just add the answer for A B and C and see if the sum is 180. It should be 180, if it isn't something is wrong with the calculation.
What is the answer to this problem?
Answers
Answer:
A
Step-by-step explanation:
it's easy, just have to look at the problem
What equation represents the slope intercept form of the line below Y intercept =(0,-2) slope = 2/3
Answers
Answer: [tex]y = \frac{2}{3} x - 2[/tex]
Step-by-step explanation:
The slope intercept form is y = mx + b
Where m is our slope and b is our y-intercept
We're given a slope of 2/3
We're given a y-intercept of -2
Substituting into y = mx + b gives
[tex]y = \frac{2}{3} x - 2[/tex]
Answer:
y = (2/3)x - 2
Step-by-step explanation:
Use the slope-intercept form y = mx + b. Here b = -2 and m = 2/3. Making these replacements, we get:
y = (2/3)x - 2
2,5,10,17 whats the next number in the pattern?
Answers
if it takes Anderson 4 minutes to swim 8 laps how many laps per minute is that?
Answers
Answer:
2 laps per minute
Step-by-step explanation:
4/4= 1(minute)
8/4= 2(laps)
Therefore, it is 2 laps per minute
I DONT KNOW HOW TO DO THIS HELP MEH
Solve the system by substitution.
3x-8y=-50
6y+=x
Answers
Answer:
substitution method is tricky until u get the hang of it. 6y=x so 3x-8y=-50 can be rewritten as 3(6y)-8y=-50.
Step-by-step explanation:
3x-8y=-50.........(1)
6y= x ..............(2)
Substituting x = 6y in (1)
3(6y) - 8y = -50
multiply 3(6y)
18y - 8y = -50
subtract 8y from 18y
10y = -50
divide to get y alone
y = -50/10
y = -5
now substitute. you know what y is. 6y=x / 6(-5)=x
solve :)
6y = x
6(-5) = x
-30 = x
x = -30
-2x-y=0
-6x+y=10
What is my solution for this ? (Eliminations)
Answers
-5/4,
5/2
HI I NEED HELP WITH THIS!!! SOMEONE ANSWER ASAP PLS
Answers
the hypotenuse is the largest side
so out of 6,8,10
10 is the largest
HELP PLZ!
proerties of Transformations
In the pre-image of the parallelogram, the slope of AD is
--3 and the slope of BC is -3. The image is translated
down 7 units and then reflected over the y-axis,
The slope of A"D" is
The slope of B"C"is
What can you determine about the line segments A"D"
and B"C"?
A"
D"
Answers
Answer:
1... 3
2...3
3...parallel
Step-by-step explanation:
C + 4 = -8
Choose
This is a required question
Answers
C = -12
Answer:
c=-12
Step-by-step explanation:
PLS HELP I HAVE TO DO THIS BY TONIGHTT
Alicia planted 45 tulip bulbs last year. This year she plans to plant 27 bulbs. Find the percent decrease in thenumber of tulip bulbs.
Answers
I got you !
Step-by-step explanation:
45 bulbs planted in first year.
65 bulbs the next year.
increase = 20 bulbs
Number of increase of planted tulip bulb is N = 65 - 45 = 20
( 20/45) x 100% = 44.4 % to the nearest tenths
Isabel’s class has collected 90 cans in a food drive. They plan to sort the cans into n bags, with an equal number of cans in each bag. Write an expression to show how many cans there will be in each bag.
Answers
Answer:
90/n
Step-by-step explanation:
There are 90 cans, and each bag MUST have an equal amount of cans, so if we had, let's say 2 bags, then there would be 45 bags. We got this by doing 90/2. 2 being n, the expression would be 90/n.
A line passes through the points (-4,-1) and (4,3) a second line passes through the points (-2,-2) and (2,6) at what point do the two lines intersect
Answers
Answer:10
Step-by-step explanation:
If you drove 95 miles in 2 hours, how long will it take you to drive 415 miles at the same speed?
Answers
Answer:
4 hours (3.46)
Step-by-step explanation:
2 1/2t = 11
what is t
Answers
Then you divide both sides by 2.5
t =11/2.5
t = 4.4
