Answer: -a2b2 + 9a2 + 24ab + 4b2 - 36
Step-by-step explanation:
A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
AB = BA is the commutative property of multiplication.
- AB + AB equals zero and is therefore eliminated from the expression.
Pharaphrase it if used.
Please Help Me - Calc.
[tex]\text{Given that,}\\\\2(x^2+y^2)^2 = 25 (x^2-y^2)\\\\\implies 2\dfrac{d}{dx} (x^2 +y^2)^2 = 25 \dfrac{d}{dx} (x^2 -y^2)\\\\\implies 2 \cdot 2(x^2 +y^2) \dfrac{d}{dx}(x^2 +y^2) = 25\left[2x - 2y \dfrac{dy}{dx} \right]\\\\\implies (4x^2 +4y^2)\left(2x + 2y\dfrac{dy}{dx}\right) = 50x - 50y\dfrac{dy}{dx}\\\\\\\implies 8x^3+8x^2y \dfrac{dy}{dx} + 8xy^2 +8y^3\dfrac{dy}{dx} = 50x -50y \dfrac{dy}{dx}\\\\\\\implies 8x^2y \dfrac{dy}{dx} + 8y^3\dfrac{dy}{dx}+50y \dfrac{dy}{dx} = 50x -8x^3 -8xy^2\\\\[/tex]
[tex]\implies (8x^2y +8y^3 + 50y)\dfrac{dy}{dx} =50x -8x^3 -8xy^2\\\\\implies \dfrac{dy}{dx} = \dfrac{50x -8x^3 -8xy^2}{8x^2y+8y^3+50y}\\\\\implies \dfrac{dy}{dx}= \dfrac{25x-4x^3-4xy^2}{4x^2y+4y^3+25y}\\\\\\\implies \dfrac{dy}{dx} = \dfrac{x(25-4x^2-4y^2)}{y(4x^2 +4y^2 +25)}\\\\\\\text{Slope at}~~ (-3,-1)\\\\m=\dfrac{dy}{dx} = \dfrac{-3[25-4(-3)^2-4(-1)^2]}{(-1)[4(-3)^2 + 4(-1)^2+25]} = -\dfrac{45}{65} = -\dfrac 9{13}[/tex]
[tex]\text{Equation with given points,}\\\\y+1 = -\dfrac9{13}(x+3)\\\\\implies y = -\dfrac 9{13} x - \dfrac {27}{13} -1\\\\\implies y= -\dfrac 9{13} x - \dfrac{40}{13}\\\\\text{Hence the equation of this tangent line is now in a form of y= mx+b,}\\\\\text{where}~ m = -\dfrac 9{13}~ \text{and}~ b = -\dfrac{40}3[/tex]
19.
In a Space Needle, the elevators whisk you to the revolving restaurant at a speed of 650
feet in 60 seconds. If the revolving restaurant is 370 feet up, how long will it take you to reach
the restaurant by elevator? Round answer to two decimal places.
Prime number after 167, 118, 82, 57, 41,
The prime numbers after 167, 118, 82, 57, 41 are 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.
Prime numbers are numbers that are divisible by 1 and itself.
This are number greater than one with only two factors which are 1 and itself.
In other words, this number, when they are divided by another number other
than 1 or itself , one will get a remainder that is not zero.
Example of prime numbers are 2, 5, 7, 11, 13 etc.
The prime numbers after 167, 118, 82, 57, 41 are as follows:
37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.
learn more about prime number here: https://brainly.com/question/26013414
Solve. x 2 = 7
pls help!!
Answer:
x = 14
Step-by-step explanation:
1) Multiply both sides by 2.
x = 7 * 2
2) Simplify 7 * 2 to 14.
x = 14
Answer:
D.
Step-by-step explanation:
when using diversions in fractions to whole numbers you will always multiply the denominator by the whole number. So 2 x 7 equals 14. :))
solve the system using substitution 5x+3y=-4 y-2x=6
Solving steps:-
5x+3y=−4
y−2x=6
-->To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
5x+3y=−4,−2x+y=6
-->Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
5x+3y=−4
-->Subtract 3y from both sides of the equation.
5x=−3y−4
--> Divide both sides by 5.
x = 1/5(-3y - 4)
--> Multiply 1/5 −3y−4.
x = -3/5y - 4/5
--> Substitute -3y - 4/ 5 for x n the other equation, −2x+y=6.
-2 (-3/5y - 4/5) + y = 6
--> Multiply −2 times -3y - 4/ 5
6/5y + 8/5 + y = 6
--> Add 6y/5 to y
11/5y + 8/5 = 6
--> Subtract 8/5 from both sides of the equation.
11/5y = 22/5
--> Divide both sides of the equation by 11/5, which is the same as multiplying both sides by the reciprocal of the fraction.
y = 2
--> Substitute 2 for y in x= -3/5y - 4/5. Because the resulting equation contains only one variable, you can solve for x directly.
x = -3/5 x 2 - 4/5
--> Multiply -3/5 times 2.
x = -6 - 4/ 5
--> Add -4/5 to -6/5 by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible.
x = -2
--> The equation is now solved.
Answer : x = -2, y = 2
Explanation : If you think this answer is good, please give "Brainliest" or rate/heart my answer. Hope this helps you.
What is the smallest number that is a multiple of both 4 and 6
Answer:
2
Step-by-step explanation:
4 2x2 is 4
2x3 is 6
sorry for the long type it says 20 character above
Ashley is keeping track of the miles she runs over the summer. Her goal is to run 600 miles over the summer. If she has run 230 miles so far, write an equation and solve for the number of miles she has left to run to reach her goal.
Answer:
600-230=L
Step-by-step explanation:
L means Left or What's left
How many solutions does the nonlinear system of equations graphed below have?
Answer:
Four
Step-by-step explanation:
I recoloured the hyperbola to enfasize the two different equations (the other is a circle. The solution of the equations are the point where the two graphs touch, which are circled in black.
Elizabeth earned $150 a week tutoring . If he saved $75, what percent of the money he earned did he save
Answer:
50%
Step-by-step explanation:
Cuz 75 is 1/2 of 150, so 1/2 is equal to 50%.
what rounds up to 5,620 to the nearest ten
5,610
Step by step explanation:When rounding to the nearest ten, like we did with 5620 above, we use the following rules:
We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.Answer: 5620
~~Step-by-step explanation~~
Rounding has a simple rule. 5 or above? Up you shove. 4 or below? Keep it low.
1. What are you using to round?
5620 : The tens place is the number we are either going to be rounding up or keeping. In this case, it is the 2 in 5620.5620 : When rounding to the nearest ten, you look at the ones section. In this case, it is the 0 in 5620.2. Execution
When rounding up to tens, look at the ones value. If the number is 5 or above, round the tens place up a number. (ex. 5625 --> 5630) If the number is a 4 or below, keep the tens value the same. (ex. 5624 --> 5620)Since the ones place in 5620 is below a four, we are going to keep the tens value the same, so the answer is going to be 5620.
4*5=5*4
Distributive property
expanded form true
Step-by-step explanation:
What is the solution of this inequality? r−6>−11
Answer:
r > -5
Step-by-step explanation:
r - 6 > -11
+ 6 + 6
---------------
r > -5
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
Floretta, a pitcher, claims that her pitch speed is less than 46 miles per hour, on average. Several of her teammates do not believe her, so she decides to do a hypothesis test, at a 5% significance level, to persuade them. She throws 24 pitches. The mean speed of the sample pitches is 37 miles per hour. Floretta knows from experience that the standard deviation for her pitch speed is 5 miles per hour.
H0: μ≥46; Ha: μ<46
α=0.05 (significance level)
What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?
A number increased by 4 is less than - 12.
Answer:
is this all the information from the question
what is
The lines shown below are parallel. If the green line has a slope of -3/7
the slope of the red line?
Find the sides, and the value of x and y.
Answer:
[tex]\huge\boxed{x=15;\ y=4}[/tex]
Step-by-step explanation:
Proportion:
[tex]\dfrac{x}{18}=\dfrac{5}{6}\qquad|\text{cross multiply}\\\\(x)(6)=(18)(5)\\\\6x=90\qquad|\text{divide both sides by 6}\\\\\huge\boxed{x=15}[/tex]
[tex]\dfrac{y}{5}=\dfrac{12}{x}[/tex]
substitute x = 15:
[tex]\dfrac{y}{5}=\dfrac{12:3}{15:3}\\\\\dfrac{y}{5}=\dfrac{4}{5}\qquad|\text{cross multiply}\\\\(y)(5)=(5)(4)\\\\5y=20\qquad|\text{divide both sides by 5}\\\\\huge\boxed{y=4}[/tex]
Cameron wants to buy a camera for $259. He has $50 and plans to save $20 each week. How many weeks will it take to save enough money to buy the camera? (not including
sales tax)
Answer:
About 11 Weeks
Step-by-step explanation:
I found out by multiplying 11 by 20 and got 220. Then, adding 50 is 270, which is just over 259. It's not ten because 200 is just underneath his goal.
find x and y intercepts of
3x - 2x = 5
Answer:
x=5
Step-by-step explanation:
there is no y intercept
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\mathbf{3x - 2x = 5}\\\mathbf{\rightarrow 1x = 5}\\\textbf{DIVIDE 1 to BOTH SIDES}\\\mathbf{\rightarrow \dfrac{1x}{1}=\dfrac{5}{1}}\\\textbf{CANCEL out: }\mathbf{\dfrac{1}{1}\textbf{ because it gives you 1}}\\\textbf{KEEP: }\mathbf{\dfrac{5}{1}}\textbf{ because it helps solve for the x-value.}\\\textbf{NEW EQUATION: }\mathbf{x = \dfrac{5}{1}}\\\textbf{SIMPLIFY IT!}\\\mathbf{x = 5}\\\\\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 5}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\mathbf{Amphitrite1040:)}[/tex]
tom drank 3/4 of a cup of water in 2/3 of a minute. at this rate how much water did he drink in a full minute PLEASE HELP
Answer:
9/8
Step-by-step explanation:
x=(3/4)/2*3=9/8
Answer:9/8
Step-by-step explanation:divide 3/4 by 2/4
Find the slope. Name the unit rate
Answer:
The slope is 4/5 i dont know unit rate though, hope this helps:)
please help before it's Monday
Answer:
Mateo's data shows a negative association
Step-by-step explanation:
Okay, so the y-axis is his amount of typos. The x-axis is the number of pages.
We can clearly see the typos found number increasing through the number of pages. Which is bad :/
Hope this helps :)
Ella takes 1 3/5 hours to complete a
painting. Holly takes 3/4 of the time that
Ella takes. How long will Holly take to complete 5 paintings?
Answer:
6 hours
Step-by-step explanation:
FInding Holly's time of Ella's
Ella = [tex]1 \frac{3}{5}[/tex]
Holly = [tex]\frac{3}{4} \:\mathrm{of}\:1 \frac{3}{5}[/tex]
Solve:
[tex]\frac{3}{4} \:\mathrm{of}\:1 \frac{3}{5}[/tex]
[tex]= \frac{3}{4} \times1 \frac{3}{5}[/tex]
[tex]1\frac{3}{5} =\frac{8}{5}[/tex]
[tex]\frac{3}{4}\times \frac{8}{5}=\frac{24}{20}[/tex]
[tex]\frac{24}{20} =\frac{6}{5}[/tex]
Now, we can find how many hours it takes holly to complete 5 paintings:
[tex]\frac{6}{5}\times5[/tex]
[tex]=6[/tex]
Therefore, it will take Holly 6 hours to complete 5 paintings.
andrew bought a camera on sale at a 20% discount. it was marked down from its regular price of 120$ if there is an 8% sales tax on the sales price, how much did andrew pay for the camera?
Answer:
$103.68
Step-by-step explanation:
20% 0f 120 is 24
120-24=96
8% of 96 is 7.68
96 + 7.68 = 103.68
BRAINLIEST!Because he holds a degree in environmental science, Jared is the environmental inspector for a company that manufactures Styrofoam. What is one task that Jared would perform as part of his job?
A.
Jared oils the large press that forms the Styrofoam.
B.
Jared makes a schedule for Styrofoam deliveries.
C.
Jared tests the air quality in the room where the Styrofoam is stored.
D.
Jared designs the assembly line for the factory.
Answer: I looked it up please give a brainliest if correct:
Step-by-step explanation: I looked it up y copying and pasting and thats probably what you should have done never hurts to try new ways a lot of people said D.
Answer:
I would say D.
Step-by-step explanation:
Please double check i don't want you to fail your quiz
Divide (x^3+2x-6x-9) by (x+3)
Answer:
x² - 3x + 5 - [24÷(x+3)]
Step-by-step explanation:
1. Expand (x³ + 2x - 6x - 9)
= x³ - 4x - 9
2. Divide [x³ - 4x - 9 by x+3]
= x² + [(-3x^2-4x-9) ÷ (x+3)]
3. Divide [(-3x^2-4x-9) by (x+3)]
= -3x + [(5x-9) ÷ (x+3)]
x² - 3x + [(5x-9) ÷ (x+3)]
4. Divide [(5x-9) ÷ (x+3)]
= 5 + [(-24) ÷ (x+3)]
x² - 3x + 5 + [(-24) ÷ (x+3)]
= x² - 3x + 5 - [24 ÷ (x+3)]
Find the domain and range of f... please help
The range is [tex]\boxed{-4 \leq y < 0}[/tex].
Please help me! No links, cheaters, or rude comments please!
Answer:
hmm i would say its -2 and 1/2.. although i am a little rusty at this..but this is what i choose
Step-by-step explanation:
Answer:
a and d is correct I did the test and got 100 .
in simplest form is _______.
Answer:
5/7
Step-by-step explanation:
The greatest common factor of 25/35 is 5, 25/5=5, 35/5=7, therefore your answer is 5/7.
8 grade math part 1 help me
I need help with this question
Answer:
Go download CameraMath on playstore that how
I is get my answer