If x + y = 5 and x - y = 3, then x^2 - y^2 = ?
A) 9
B) 15
C) 16
D) 25
E) 34
With steps pleaseee
Answer:
B) 15
Step-by-step explanation:
Using basic logic we find that x = 4 and y = 1
4^2 = 16
1^2 = 1
16 - 1 = 15
g Farmer Violet wants to enclose one 990 square foot rectangular area of land using fencing. One side will use special fencing costing $12 per foot. The remaining three sides of fencing will be formed using standard fencing costing $10 per foot. Find the dimensions of the corral that would minimize the cost of the fencing required for this project, rounded (if necessary) to the nearest hundredth of a foot
Answer:
Sides of the rectangular area:
x = 30 f
y = 33 f
Step-by-step explanation:
Let´s call x and y the sides of the rectangular area
A = x*y = 990 y = 990/x
The function cost is:
C = Costs ( sides x) + costs ( sides y )
Cost of sides x = 12*x + 10x
Cost of sides y = 10*y + 10 *y = 2*10*y = 20*y
C = 12*x + 10*x + 20*y = 22*x + 20*y
The function cost as function of x is:
C(x) = 22*x + 20*(990/y) = 22*x + 19800/x
Tacking derivative on both sides of the equation:
C´(x) = 22 + [ - 19800/x²]
C´(x) = 0 22 - 19800/x² = 0
Solving for x
22*x² - 19800 = 0
22x² = 19800
x² = 19800/22 = 900
x₁,₂ = ± 30 We dismiss negative root ( we never have negative lenghts)
Then x = 30 f
And y = 990 / 30 y = 33
To see if x = 30 is a minimum for function C(x) we evaluate the second derivative.
C´´(x) = 2*x* 19800/x⁴
C´´ (x) = 39600/x³ so C´´ is always greater than 0 then C (x) has a minimum at x = 30
Sides of the rectangular area are:
x = 30
y = 33
find the area help me please :(
Answer:
1276
Step-by-step explanation:
Have a Nice Day! :)
Please help with this math question picture is shown
Answer:
-20 gallons per minute
Step-by-step explanation:
Macy washed her dirty clothes over the weekend. She used 1 1/3 scoops of detergent for her white load and 9/12 of a scoop for her color load. How much more laundry detergent did she use in the white load?
What is the volume, in cubic feet, of this composite figure?
Answer:
volume = 95 ft³
Step-by-step explanation:
area of end = (2 x 9) + (1 x 1) = 19 ft²
volume = 19 x 5 = 95 ft³
First step to solve this equation 5k+6=-9
Answer:
Subtract 6 from both sides of this equation.
Step-by-step explanation:
Answer:
subtract 6 from both sides of the equation.
Which best describes the correlation of the variables shown the graph below?
A. Strong Positive
B. Weak Positive
C. Strong Negative
D. Weak Negative
Answer:
B strong Negative
Step-by-step explanation:
line parallel to y=8-1/8x
Answer:
Y = (-1/8) X + C is the equation of a line parallel to y=8-1/8x
Step-by-step explanation:
Complete question.
Find the line parallel to y=8-1/8x
Solution
For two lines to be parallel to each other it is essential that their slopes must be same
For any line of the form
Y = mX +b
m is the slope
Here the equation of given line is y=8-1/8x
on rearranging, we get
Y = (-1/8) X + 8
here m = (-1/8)
Hence, line parallel to y=8-1/8x is any line with slope equal to (-1/8)
Or we can say that equation of parallel line would be
Y = (-1/8) X + C
Plz help me fast!!! Plzzzz
Step-by-step explanation:
tan = opp/adj
tan B = x/y
hope this helps
If the answer is correct you get brainly
Answer:
the answer is 2,800.
Step-by-step explanation:
5x5x2x7x8=2,800.
Simplify.
1/4(16a - 4b) - (2a - b)
Answer:
2/4
Step-by-step explanation:
Answer:
2a
Step-by-step explanation:
1/4(16a - 4b) - (2a - b)
4a - b - (2a - b)
4a - b - 2a + b
2a
Plsssssss helpppppppppp
Answer:
336cm²
Step-by-step explanation:
14×4×6=336cm²
hope this helps
plz can i get brainliest
percent change from 149 to 104 to th nearest percent
Answer:
154.96%
Step-by-step explanation:
Please answer this question
Answer:
1. 40 2. t/5 = d
Step-by-step explanation:
Every five minutes he travels 1 mile
200/5 = 40
After 200 minutes he travels 40 miles
t/5 = d
I need help this is due today
Answer:
here ya go girly
Step-by-step explanation:
I hope it goes well and I hope u get the grade u want :)
Answer:
14.373 inc.sq
Step-by-step explanation:
Here's your solution
=> Area of cone = πr(r + l)
=> π = 3.14
=> radius = 1.9/2 inc
= l = 4.5 inc
=> putting value in formula
=> Area = 3.14*0.95(0.95 + 4.5)
=> Area = 2.983*5.45
=> Area of cone = 14.373 inc.sq
hope it helps
What is 397 lb equal to in pounds and ounces
1/3 of 3/7=__
pls i need help
Answer:
the answer is 0.14285714285 theres whole answer because i dont know if u need it rounded or not
Step-by-step explanation:
the bitly stuff is not real
Paul is selling $2 raffle tickets for his baseball team. He needs to sell at
least $230 worth of tickets to earn a team jacket. If he has already sold
$50 worth of tickets, how many more raffle tickets, x, does Paul need to
sell to earn a team jacket?
a) x => 90
b) x <= 90
c) x => 180
d) x <= 180
helpppp
Answer:
answer is 90
Step-by-step explanation:
230 - 50= 180 divided by 2 =90
The hypotenuse of the 30-60 right triangle is ____________, if the shortest side is x
1. x
2. x sqaure root 3
3. 2x
9514 1404 393
Answer:
3. 2x
Step-by-step explanation:
The side ratios of a 30-60-90 triangle are in the ratios ...
1 : √ : 2
The longest side is 2 times the length of the shortest side. If the shortest side is x, the longest side is 2x.
Assignment: Friday 4.23 Exit Tickets---7.4 Lesson 3 (7. RP.2.c)
Problem 10 PRABS
Jenny's mom is 36 years old. If Jenny's great-grandmother is 90 years old, what percent of Jenny's mother's age is Jenny's
great-grandmother's age?
Answer:
10% would be the answer
Step-by-step explanation:
Need help plzzzz ASAP
Answer:
248
Step-by-step explanation:
top and bottom are 4*10= 40 each
left and right 6*4= 24 each
front and back 10*6= 60 each
40+40+24+24+60+60=248
The rate of a jet airplane is 650 miles per hour. Find the distance traveled in 2 hours.
Answer:
1300
Step-by-step explanation:
650 + 650 = 1300
magic
can someone help me with five and six
Answer:
5) a)(-4,-6) b) (4,2) c) (2,6) 6) (3,2)
Step-by-step explanation:
5) the solution is the points where the lines meet.
6) graphed the lines; the picture of the graph is attached below
Please help out!! Math question about angles/triangle
Answer:
Because one pair are vertical angles
Because one pair are each supplementary to equal angles
Step-by-step explanation:
LKO is congurent to LMO
Step-by-step explanation:
angle k =angle m
lk=LM
lo=Lo (common)
mark me brainlist
Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed. plss help
Answer:
3/5
Step-by-step explanation:
sinA = opp/hyp
= 21/35
= 3/5
PLS HELPPP
find the volume.
Answer:
38
Step-by-step explanation:
Find the volume of the cone
Answer:
100.53
Step-by-step explanation:
V = π r^2 h/3fill in what you know V= π 4^2 6/3solveUsing the perimeter formula of a rectangle, P = 21+2w, find the perimeter of the rectangle giver
the length is 42 feet and the width is 26 feet
I
Answer:
-21
Step-by-step explanation:
the formula for the perimeter of a rectangle is 2l+2w. which means twice the length and twice the width added to together.
if you mean this:
x=21+2x
minus x on both sides
0=21-x
add 21 on both sides
21=-x
x=-21
than you subsitute
2×-21=-42
-42+21= -21
The perimeter is than -21
Answer:
-21
Step-by-step explanation:
the formula for the perimeter of a rectangle is 2l+2w. which means twice the length and twice the width added to together.
if you mean this:
x=21+2x
minus x on both sides
0=21-x
add 21 on both sides
21=-x
x=-21
than you subsitute
2×-21=-42
-42+21= -21
The perimeter is than -21
What is greater 3 or -2.5
Answer:
3
Step-by-step explanation:
3 is positive and -2.5 is negative 2 is greater than 2.50 so the answer is 3
Give me Brainllest