Answer:
Hi It is A I just got it right
trust me
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Which points on the curve of x^2 - xy - y^2 = 5 have vertical tangent lines?
We need to differentiate this with respect to x to see if we can find an expression for the derivative of y at various points. That will be the slope of the tangent to the curve. Then we want to see where that derivative might be infinite -- i.e., where the tangent is vertical.
It's not written as a function, but it can still be differentiated using the chain rule:
x2 + xy + y2 = 3
(2x) + (x dy/dx + y dx/dx) + (2y dy/dx) = 0
(I used parentheses to show the differentiation of each term in the original equation.)
2x + x dy/dx + y + 2y dy/dx = 0
2x + y = -x dy/dx - 2y dy/dx
2x + y = dy/dx (-x -2y)
-(2x + y)/(x + 2y) = dy/dx
We have the derivative of y, but it's defined partly in terms of y itself. That's OK. Let's go on...
So where would the slope be infinite? That would happen when x + 2y = 0, or y = -x/2
Let's plug that in for y in the original equation to find points where that's the case.
x2 + xy + y2 = 3
x2 + x(-x/2) + (-x/2)2 = 3
x2 - x2/2 + x2/4 = 3
3x2 / 4 = 3
x2 = 4
x = ±2
So we have two x values where the tangent might be vertical. Let's plug them into the equation and see what the y values are. First x = 2...
x2 + xy + y2 = 3
4 + 2y + y2 = 3
y2 + 2y + 1 = 0
(y + 1)2 = 0
y = -1
So at the point (2, -1) the tangent is vertical.
Now try x = -2...
x2 + xy + y2 = 3
4 - 2y + y2 = 3
y2 - 2y + 1 =0
(y - 1)2 = 0
y = 1
So at the point (-2, 1) the tangent is vertical.
The railroad company wants to sell $8,134 in tickets. If each ticket costs $7, how many
tickets will the railroad have to sell to meet its goal?
Answer:
1162 tickets will need to be sold
Step-by-step explanation:
8134 / 7 = 1,162
In a scale drawing, 3 millimeters represents 17 meters. Exactly how many millimeters represents 55 meters?
Answer:
See image
Step-by-step explanation:
Compare "like" values to write a proportion (two fractions or ratios set equal to each other) Then you can cross multiply to solve the equation for x
HELP!!!
n – 3 = ‐1
Please do not just type in the answer please explain how you got your answer! Whoever explains (CORRECTLY) first gets brainliest!
Answer:
n = 2
Step 1: Add 3 to both sides to isolate x.
n – 3 = ‐1
Step 2: Solve
=> n = -1 + 3
Final Answer: Answer to the question.
=> n = 2
Therefore, n = 2 is our answer.
Hoped this helped.
Graph
Y-7=-3/5-(x+2)
Answer:
See attached
Step-by-step explanation:
A simpler form of the same equation is:
y = -4 +(4+2/5)
3xy divide 18 ,
x=
Y=
Please help worth 20 points
Answer:
Try going on D.e.s.m.o.s.c.o.m it worked for me when I had something like this
Step-by-step explanation:
GURL POWER
PLEASE HELPPPPP!!!
Find the slope and y-intercept of the graph of each question:
1. y=6x+11
(pretty sure 6 is the slope and 11 is the y-intercept... pls correct me if me wrong)
2. y=x+6
(1 is the slope and 6 is the y-intercept??)
Answer:
1. slope = 6, y-intercept = 11
2. slope = 1, y-intercept = 6
Answer:
you are correct
Step-by-step explanation:
6 is the slope and 11 is the y-intercept
1 is the slope and 6 is the y-intercept
Solve the system of inequalities by graphing.
12x+6y≥15
2x-4y>8
Answer:
?
Step-by-step explanation:
g(x) = 3x + 1; Find g(7)
Find the domain of the expression.
the square root of x+5
See attachment for answer and math work.
Answer:
Step-by-step explanation:
"Domain" means what numbers are allowed to be x (or on a graph, for what x's does the graph exist)
Since inside a square root you have to have a positive number (actually, just not a negative number). So all the positive numbers work (any positive+5 is a positive number) BUT ALSO x can be 0, BUT ALSO, x can be as small as -5 and still the value inside the square root will not be negative
SO THIS MEANS all the x's we're allowed to use (that's the DOMAIN) are everything from -5 and bigger. In math we write that as x>= -5
There are two other main ways to write it: [-5, infinity symbol) OR {x|x>=-5} these all mean the same thing.
in the expression 3² + 5 · 3 what needs to be done first? exponents addition multiplication
Answer:
If you use the PEMDAS method, you can see that exponents should be done first.
Step-by-step explanation:
Line c passes through points (9, 10) and (1, 3). Line d is perpendicular to c. What is the slope
of line d?
Answer:
-8/7
Step-by-step explanation:
First, find the slope of line c.
(x1, y1) = (9, 10)
(x2, y2) = (1, 3)
The slope formula is:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Solve for the slope using the given values:
[tex]m=\frac{3-10}{1-9}\\\\m=\frac{-7}{-8}\\\\m=\frac{7}{8}[/tex]
The slope of line c is 7/8. To find the slope perpendicular to it, you need to find the negative reciprocal of that number. An example of that would be 2 and -1/2. Basically, flip the fraction and the +/-.
In this case, the negative reciprocal of 7/8 is -8/7. The image below doesn't account for the y-intercept, but it does show that the slopes are perpendicular.
Answer:
slope = - [tex]\frac{8}{7}[/tex]
Step-by-step explanation:
Calculate the slope m of line c using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (9, 10 ) and (x₂, y₂ ) = (1, 3 )
m = [tex]\frac{3-10}{1-9}[/tex] = [tex]\frac{-7}{-8}[/tex] = [tex]\frac{7}{8}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{7}{8} }[/tex] = - [tex]\frac{8}{7}[/tex] ← slope of line d
Aisha bought 15 apples and oranges for $9. 0. Each orange costs $0. 50, and each apple costs $0. 65. Let x represent the number of oranges and y represent the number of apples. Which system can be used to find the number of apples and oranges Aisha bought? x y = 15. 0. 5 x 0. 65 y = 9. 00 x = y. 0. 5 x 0. 65 y = 9. 00 x y = 9. 0. 5 x 0. 65 y = 15. 00 x = y. 0. 5 x 0. 65 y = 15. 0.
Answer:
x + y = 15
0.5x + 0.65y = 9
Step-by-step explanation:
x = number of oranges
y = number of apples
total of apples and oranges is 15 so x + y = 15
total cost of apples and oranges is $9 so 0.5x + 0.65y = 9
Calculation
y = 15 - x
0.5x + 0.65(15-x) = 9
0.5x - 0.65x + 9.75 = 9
-0.15x = - 0.75
x = 5
y = 15 - x = 15 - 5 = 10
PLEASE ANSWER FAST....Which expressions have a value equal to or greater than 13?
I WILL MARK BRAINLIEST
Answer: D and B
Step-by-step explanation:
D: 10/10 can be simplified to 1/1, or 1. 1 times 13 is equal to 13.
B: 4 x 13 is simply 52.
Hope this helps!
A. 5/6 x 13 = 10.83
B. 4 x 13 = 52
C. 3/4 x 13 = 9.75
D. 10/10 (1) x 13 = 13
B. 4 x 13 & D. 10/10 (1) x 13 are your answers.
The value of -2 is_________the value of 1.5 because-2 lies to the__________of 0 and 1.5 lies to the_________of 0 on the number line.
Answer:
The value of -2 is LESS THAN the value of 1.5 because -2 lies to the LEFT of 0 and 1.5 lies to the RIGHT of 0 on the number line
Step-by-step explanation:
I really need help, this is probability and statistics, if anyone else is taking this class, please help, it is a unit test study guide.
Answer:
id like to help but the picture is really blurry so im afraid that i cant. but i know there are others who can!
Step-by-step explanation:
i hope this helps you!
I can't see the picture good
Please hurry and help
15 points
Answer:
A
Step-by-step explanation:
Seems like a reasonable answer choice
Can the distributive property be used to rewrite
4x (6 - 3)?
Answer:
12x
Step-by-step explanation:
cuz i said so
Which table is y a function of x?
Answer:
The first chart
Step-by-step explanation:
Factorise 9a³ - 27a² - 100a + 300, if it is given that (3a + 10) is a factor of it.
Answer:
(3a + 10)(3a - 10(a - 3).
Step-by-step explanation:
Do a long division:
3a + 10 ) 9a^3 - 27a^2 - 100a + 300 ( 3a^2 - 19a + 30 <----- Quotient
9a^3 + 30a^2
-57a^2 - 100a
-57a^2 - 190a
90a + 300
90a + 300
..................
Factorise the Quotient:
3a^2 - 19a + 30
= 3a^2 - 9a - 10a + 30
= 3a(a - 3) - 10(a - 3)
= (3a - 10)(a - 3)
HELP PLEASEEEE what is the range of 0,5,10,15,20,25
5
11
20
25
Answer:
25!
Step-by-step explanation:
Subtract the highest and lowest so its 25:)
Answer:
25
Step-by-step explanation:
Range is the largest number minus the lowest
Sally is making 15 individual blueberry cheesecakes. How many pounds of blueberries will be in each cheesecake if 514 pounds of blueberries are divided equally among them?
Answer:
About 35 or 34.27 if you round to the tenths spot.
Step-by-step explanation:
514 divided by 15 is 34.27 once rounded.
−4x + 3y =7
5x − 2y =35
What is the solution?
Answer: x = 39/10 y = 29/5
Answer:
(17,25)
Step-by-step explanation:
To find the solution to the system, solve with elimination.
Equation 1.
−4x + 3y =7
Equation 2.
5x − 2y =35
To cancel out the y-variable, multiply the first equation by 2, and the second equation by 3.
2(−4x + 3y =7)
-8x+6y=14
3(5x − 2y =35)
15x-6y=105
Combine both equations.
-8x+6y=14
15x-6y=105
7x=119
x= 17
Plug in x into the first equation to solve for y.
-8x+6y=14
-8(17)+6y=14
-136+6y=14
6y=150
y=25
Mariah made a down payment on a van. Which of the following is true because of the down payment?
A. She has additional time to repay the loan.
B. Her credit limit will increase
C. She has some equity or ownership right away.
D. Her insurance will decrease.
Answer:
Option C. She has some equity or ownership right away.
Step-by-step explanation:
I did the Exam too. And got it right. Hope this helped.
Jackson’s rectangular bedroom has an area of 90 square feet. The area of his bedroom is 9 times that of his rectangular closet. If the closet is 2 feet wide. What is it’s length?
Answer:
Im pretty sure the answer is 5.
Step-by-step explanation:
4(d-5)-6=2(8-d)-d what is d
Answer:
d = 6
Step-by-step explanation:
sorry for late awenser
The value of the equation is d = 6
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
4 ( d - 5 ) - 6 = 2 ( 8 - d ) - d be equation (1)
On simplifying the equation , we get
4d - 20 - 6 = 16 - 2d - d
On further simplification , we get
4d - 26 = 16 - 3d
Adding 3d on both sides of the equation , we get
7d - 26 = 16
Adding 26 on both sides of the equation , we get
7d = 42
Divide by 7 on both sides of the equation , we get
d = 6
Therefore , the value of d is 6
Hence , the equation is d = 6
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
PLEASEEE HELPPPP ASAPPPP
[tex]\cos 27^{\circ} = \dfrac{KL}x\\\\\implies \cos 27^{\circ} = \dfrac{6.3}x\\\\\implies x = \dfrac{6.3}{\cos 27^{\circ}}=7.1~ \text{units.}[/tex]
write an expression describing all the angles that are coterminal with 266°
Answer:
-814°, -454°, -94°, 266°, 626°. Did you mean like that?
Hello, Can you please take a look at this screenshot I have below, This problem is confusing :/
Answer:
See answers below.
Step-by-step explanation:
m ∠A + m ∠B + m ∠C = 180° The sum of the angles in a triangle = 180
28° + x - 4 + 2x = 180° Substitution
x = 52° Algebra
28° + x - 4 + 2x = 180°
24° + 3x = 180°
3x = 156°
x = 156/3
x = 52°
Check: 28° + 48 + 104° = 180√