Can someone pls help me with problems 4 and 5 pls this is due in a bit and I’m in a rush I’ll give 100 points it’s all I have

Answer:

It is 3y = 4x + 10

Step-by-step explanation:

Let's first get the slope of the curve.

[ slope is the derivative of the equation ]

[tex] {x}^{2} - xy + {y}^{2} = 7[/tex]

introduce dy/dx :

[tex] \frac{d}{dx} ( {x}^{2} - xy + {y}^{2} ) = \frac{d}{dx} (7) \\ \\ 2x - (y + \frac{dy}{dx} ) + 2y \frac{dy}{dx} = 0[/tex]

make dy/dx the subject:

[tex]2x - y - \frac{dy}{dx} + 2y \frac{dy}{dx} = 0 \\ \\ 2y \frac{dy}{dx} - \frac{dy}{dx} = y - 2x \\ \\ \frac{dy}{dx} (2y - 1) = y - 2x \\ \\ \frac{dy}{dx} = \frac{y - 2x}{2y - 1} [/tex]

At point (-1, 2):

[tex] \frac{dy}{dx} = \frac{2 - 2( - 1)}{2(2) - 1} \\ \\ slope = \frac{4}{3} [/tex]

but a tangent has the same slope as the curve:

[tex]y = mx + c[/tex]

m is the slope

c is the y-intercept

At (-1, 2):

[tex]2 = ( - 1 \times \frac{4}{3} ) + c \\ \\ c = 2 + \frac{4}{3} \\ \\ c = \frac{10}{3} [/tex]

equation:

[tex]y = \frac{4}{3} x + \frac{10}{3} \\ \\ { \boxed{3y = 4x + 10}}[/tex]

Answer:

Step-by-step explanation:

Here is an other way:

z=f(x,y)=x²-xy+y²-7=0

[tex]\dfrac{\partial f(x,y)}{\partial x} =2x-y\\\\\dfrac{\partial f(x,y)}{\partial y} =-x+2y\\\\\\\dfrac{dy}{dx} =-\dfrac{\dfrac{\partial f(x,y)}{\partial x} }{\dfrac{\partial f(x,y)}{\partial y}} =-\dfrac{2x-y}{-x+2y} \\\\(-1;2)\\Slope=-\dfrac{2*(-1)-2}{1+2*2} =\dfrac{4}{5} \\\\y-2=\frac{4}{5} (x+1)\\\\\\\boxed{y=\dfrac{4x}{5} +\dfrac{14}{5} }[/tex]

Answer:

y = 1/2x + 11

Step-by-step explanation:

y = 1/2x + b

9 = 1/2(-4) + b

9 = -2 + b

b = 11

Points A , B and C are collinear......

Answer:

>

Step-by-step explanation:

1,404,000 > 1,040,000

Answer:

Step-by-step explanation:

-12 × 4

= -48

Answer:

[tex] - 12 \times 4 \\ \\ = - 48[/tex]

it's was helpful to you

Answer:

c

Step-by-step explanation:

The answer is C. To find the answer all you need to do is divide the money per pound for each option until you find the lowest deal.

A is not a good deal because its about $3.14 for a pound

B is not a good deal because its about $3.33 per pound

D is not a good deal because its $3.50 per pound

C IS a good deal because it's $2.95 per pound

Answer:

c

Step-by-step explanation:

The answer is C. To find the answer all you need to do is divide the money per pound for each option until you find the lowest deal.

A is not a good deal because its about $3.14 for a pound

B is not a good deal because its about $3.33 per pound

D is not a good deal because its $3.50 per pound

C IS a good deal because it's $2.95 per pound

Answer:

(45/v) hours

Step-by-step explanation:

that is the answer yep

Answer:

45/v =t

Step-by-step explanation:

Cuz the normal formula is

V= d/t

Therefore

t= d/v

And u know D = 45km so..

t=45/v

Answer:

x = 4, y = 3

Step-by-step explanation:

Equating corresponding coordinates , gives

2x = 8 ( divide both sides by 2 )

x = 4

and

3y = 9 ( divide both sides by 3 )

y = 3

Answer:

It depends if the number is an integer {-1,+7,-7}

e.g -7+4

these numbers are integers that is why you can write both addition and subtraction expressions

Answer:

Irrational

Step-by-step explanation:

Because irrational this number do not repeat so there for it is not rational.

Answer:

hope it help u

Step-by-step explanation:

2sinx/(2cosx – secx)

=2 sinx/(2cosx–1/cosx)

as secx = 1/ cosx

multiplying both the denominator and numerator by cost,we get

2sinxcosx/( 2cos^2x –1) =cos2x

since,2sinxcosx = sin2x and 2cos^2 –1=cos2x

2sinxcosx/(2cos^2x– 1)= sin2x/ cos2x = tan2x

Answer:

Step 1:

Let x represent the amount of each friend donate

Website keeps = 5%

Total funding I receive = $ 47.50

4.75x = $47.50

Step 2:

4.75 = $47.50       - Write the equation

[tex]\frac{4.75x}{4.75}[/tex] = [tex]\frac{47.50}{4.75}[/tex]            - Divide both sides of the equation by 4.75

The solution is x = 10

ANSWER: Each friend donates $10

hope this helps Have a good day.

Each friend donates $10.

It is required to find How much does each friend donate.

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given :

The website keeps 5% of each donation.

Five of your friends each donate the same amount.

Total funding receive is $47.50.

Let x represent the amount of each friend donate

According to question we have,

4.75x = $47.50

Divide both sides of the equation by 4.75 we get,

x = 10

Therefore, each friend donates $10.

Learn more about arithmetic here:

brainly.com/question/24423838

#SPJ2

Answer:

C

Step-by-step explanation:

0.112 + (-16)/75 is equivalent to 0.112 - 16/75

Answer:

x = 16.1051577

Step-by-step explanation:

tan0 = opp/adj

tan0 = 14/x

tan(49)× 14 = 16.1051577

Answer:

Marginal relative frequency is the ratio of the sum of the joint relative frequency in a row or column and the total number of data values. Remember, the marginal frequency numbers are the numbers on the edges of a table, kind of like the margins are the areas on the edge of a paper.

Answer:

hence the required midpoint of the given line is (9,5)

Answer:

[tex]( \frac{6 + 2}{2} +\frac{12 + 8}{2}) = ( \frac{8}{2} + \frac{20}{2} ) = (4 \: comma10)[/tex]

The answer is :(4, 10)

Answer:

B

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

total money = money spent + money left

x = 7+11

x = 18

Answer:

3x square + 5 is your answer

Answer:

Can u help me

Step-by-step explanation:

With my maths question

Answer:

I HOPE IT WILL HELP YOU A LOT.

Have a great day ahead.

Answer:

[tex] {a}^{4} {b}^{4} [/tex]

Step-by-step explanation:

[tex](ab) \times (ab) \times (ab) \times (ab)[/tex]

[tex] {a}^{1 + 1 + 1 + 1} {b}^{1 + 1 + 1 + 1} [/tex]

[tex] = {a}^{4} {b}^{4} [/tex]

Answer:

18/5

Step-by-step explanation:

6/4 x 12/5

18/5

Answer:

y = 1/2x - 2

Step-by-step explanation:

In order for a line to be perpendicular to another, the lines must have opposite reciprocal slopes.

Example of an opposite reciprocal slope: -2 ⇒ 1/2

Insert the information into the point-slope formula:

[tex]y-y_1=m(x-x_1)\\\\y-2=\frac{1}{2}(x-8)\\\\y-2=\frac{1}{2}x-4\\\\y=\frac{1}{2}x-2[/tex]

Answer:

A = 7200(1.04)^3

A = 8099

Step-by-step explanation:

Answer:

[tex]x < 0[/tex]

Step-by-step explanation:

[tex] - 4x - 8x > 0[/tex]

➡️ [tex] - 12x > 0[/tex]

➡️ [tex]x < 0[/tex]