Question 2 8 Find the coordinates of the points of intersection of the curve 1 and the line +9 [0] ​

Question 2 8 Find The Coordinates Of The Points Of Intersection Of The Curve 1 And The Line +9 [0]

Answers

Answer 1

Answer:

point 1 = (3, 6)

point 2 = (24, -15)

Step-by-step explanation:

8/x - 10/y = 1

x + y = 9

x = 9 - y

=>

8/(9-y) - 10/y = 1

8 - 10×(9-y)/y = 9 - y

-90/y + 10y/y = 1 - y

-90/y + 10 = 1 - y

-90 + 10y = y - y²

y² + 9y -90 = 0

the solution to a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case we use y instead of x.

a = 1

b = 9

c = -90

y = (-9 ± sqrt(81 - -360))/2 = (-9 ± sqrt(441))/2 =

= (-9 ± 21)/2

y1 = 12/2 = 6

y2 = -30/2 = -15

8/x - 10/6 = 1

8 - 10x/6 = x

8 - 5x/3 = x

24 - 5x = 3x

24 = 8x

x = 3

8/x - 10/-15 = 1

8/x + 2/3 = 1

8 + 2x/3 = x

24 +2x = 3x

24 = x


Related Questions

Which type of transformation is this?

Answers

Answer:

A reflection across the x axis

Step-by-step explanation:

Parallelogram ABCD was reflected across the x axis to create parallelogram A'B'C'D'

How much money will be in a bank account after 7 years if $8 is deposited at a interest rate of 5% compounded annually? Round to the nearest dollar
Ps need help ASAP

Answers

7 year

Thank you to please let me know if I have to be at the

Which graph shows a method for finding the image of point D if the parallelogram is reflected across the dashed line?

Answers

Answer:

The third option with the right angle

Step-by-step explanation:

By creating a perpendicular line through the line of reflection (the orange dotted line) and the point "D" we can measure the distance of D from the line of reflection. Then draw "D'" using the distance of the "D" from the line of reflection.

If the product of roots of the equation given below is 4, then find the value of m.

Answers

Answer:

m=-2

Step-by-step explanation:

As the product of the roots of a quadratic equation is c/a in ax^2+bx+c=0

here a=2, b=+8, c=-m^3

Given c/a=4

-m^3/2=4

-m^3=8

m^3= -8

m=-2.

△STR≅△LMN, SR=7b+8, and LN=11b−12. Find b and SR.

Answers

Answer:

b = 5

Step-by-step explanation:

△STR ≅ △LMN

This means the corresponding sides are equal.

SR and LN are corresponding sides.

SR and LN are equal.

The value of b is 5.

The value of SR is 43

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

△STR ≅ △LMN

This means the corresponding sides are equal.

SR = 7b + 8

LN = 11b − 12

SR and LN are corresponding sides.

SR and LN are equal.

So,

7b + 8 = 11b − 12

Subtract 7b on both sides.

8 = 11b - 7b - 12

Add 12 on both sides.

8 + 12 = 4b

20 = 4b

b = 20/4

b = 5

Now,

SR:

= 7b + 8

= 7 x 5 + 8

= 35 + 8

= 43

Thus,

The value of b is 5.

The value of SR is 43

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if there are about 5,000.00 red blood cells in every one cubic millimiter of mrs. garcias blood and there are about 4,600,00 cubic millimiter of blood in her body. How many red blood cells does mrs. gracia has in her body?

Answers

Answer:

Step-by-step explanation:

Construct 5 equivalent equations for the equation - 3 + 2x = -4.

Answers

Answer:C

Step-by-step explanation:

3-2x = 4-2x = 12x = -1x = -1/2-x = 1/2

2r + st^2 - u, if r = 4, s = 6, t = 3, and u = 12

Answers

Answer:

320

Step-by-step explanation:

r = 4, so 2 x 4 = 8.

s = 6 and t = 3, so 6 x 3 = 18. 18 squared is 324.

u = 12, so 8 + 324 - 12, which equals 320.

Answer:

50

Step-by-step explanation:

2r + st^2 - u
2(4) + (6)(3)^2 - (12)
(8) + (6)(9) - (12)
(8) + (54) - (12)
62 - 12
50

Final answer: 50

find the mean of the following 205,208,205,200,210,300,210,180.​

Answers

214.75 is the mean

by adding all of the numbers together and dividing it by the amount of numbers you have (8), you got 214.75

Let’s think about another type of scenario. What if you were told that a bracelet requires 10 beads and 10 minutes to make while a necklace requires 20 beads and takes 40 minutes to make. The craftsman has 1000 beads to work with and he has 1600 minutes in which to work. If a bracelet costs $5 and a necklace costs $7.50, what is the maximum revenue that the craftsman can take in?

Answers

Answer:

$425

Step-by-step explanation:

Let x represent the number of bracelets made and let y represent the number of necklace made.

Since the craftsman has 1000 beads to work with, hence:

10x + 20y ≤ 1000    (1)

Also, the craftsman has 1600 minutes, hence:

10x + 40y ≤ 1600   (2)

From ploting equations 1 and 2 on the geogebra online graphing, we can see that the solution to the problem is (40, 30).

Since the bracelet costs $5 and a necklace costs $7.50, hence the maximum revenue is:

Revenue = 5x + 7.5y = 5(40) + 7.5(30) = $425

please help finding x ASAP

Answers

Angle 2 and Angle 4 are same-side interior angles, which are supplementary.

(2x + 10) + (4x + 80) = 180

6x + 90 = 180

6x = 90

x = 15

Hope this helps!

Answer:

X = 15

Step-by-step explanation:

Angle 2 = Angle 3 since they are alternate angles

Now, angle 3 and 4 should add up to 180 since they are on a straight line

∴ (2x + 10) + (4x + 80) = 180

   6x + 90 = 180

     6x = 180 - 90

     6x = 90

       x = 15

HOPE THIS HELPS

The slope of the line is:
A. -6
B.
C. O
D. Undefined

Answers

Answer:

The slope is undefined

Step-by-step explanation:

Since x doesn't have an existing value it leaves the slope as undefined.

What is the perimeter of the triangle?

Answers

36 units I believe I used my own knowledge and online calculator
The area of a triangle can be found by using the formula 1/2(base) x (height), therefore
12 x 10 = 120 and 120/2 = 60 units
60 units is the answer

Can someone help me with this math homework please!

Answers

The answer to your question is the third one

Answer:

The third table

Step-by-step explanation:

When a function decrease over a interval, the numbers between the interval and the latest interval included must be lesser than the original first interval.

In other words, the y value for -2 must be greater than the numbers between 0 and -2 in order for the interval be decreasing.

The third table show that

Can someone help me with this math homework please!

Answers

Answer:

A ; B ; D

Step-by-step explanation:

(3+1)/12 = 1/3 (ok)

(-5+1)/-2 = -4/-2 = 2 (ok)

(1+1)/-3 = -2/3 (no)

(15+1)/1 = 16 (ok)

(-2 + 1)/5 = -1/5 (no)

help pls with explanation!!!

Answers

Answer:

18c - 30d + 36

Step-by-step explanation:

To apply the distributive property, we must "distribute" (multiply) the outer term by the terms in the parentheses. In this case, the outer term is 6, and the inner terms are 3c, 5d, and 6. Then, if there's any like terms, you must combine them.

6(3c - 5d + 6)

(6 · 3c) + (6 · -5d) + (6 · 6)

18c + -30d + 36

As you can see, there's no like terms in this expression, so the equivalent expression to 6(3c - 5d + 6) is 18c + -30d + 36.

Which of the following is an example of a quadratic equation?
O A. X+10 - 33
O B. y - 4x+6
OC. x2-64-0
O D. V-746

Answers

Hello!

Answer: C. x² - 64 - 0

Good luck! :)

HELPPPP MEEEEE OUTTTTT PLEASEEEE ASAPPPP!!!!

Answers

Answer:

sin X =35/37

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin X = opp side / hypotenuse

sin X =35/37

(05.05) Which scenario best matches the linear relationship shown in the table?
Weeks Dollars
0 10
2 20
4 30
6 40
• Shanna had $10 in her piggy bank and earned $10 each week in allowance.
• Shanna had $10 in her piggy bank and earned $5 each week in allowance.
• Shanna had $10 in her piggy bank and spent $5 each week on stickers.
• Shanna earns $10 each week.

Answers

Answer:

• Shanna had $10 in her piggy bank and earned $5 each week in allowance.

Step-by-step explanation:

Week 0 dollars = 10

This means Shanna had $10 her piggy bank before the week started

Week 2 dollars = 20

Her account has increased from 10 to 20 dollars in two weeks. This means she is earning

Amount earned per week = change in earnings / change in week

= 20 dollars - 10 dollars / Week 2 - week 1

= 10 dollars / 2 weeks

= 5 dollars per week

Amount earned per week = $5

Therefore,

• Shanna had $10 in her piggy bank and earned $5 each week in allowance

Answer:

option b

Step-by-step explanation:

cuz its the only one that makes sense

A parabola can be represented by the equation y2 = 12x.
Which equation represents the directrix?
O y=-3
O y=3
O X=-3
O x= 3

Answers

Answer:

It's C

X = -3

Step-by-step explanation:

Edge 2022

The equation represents the directrix is x=-3.

the correct option is (C).

what is directrix in parabola?

A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola, and the line is called the directrix . The directrix is perpendicular to the axis of symmetry of a parabola and does not touch the parabola.

given: y²=12x

y²=4*3*x

Here a=3

So, x+a=0

x+3=0

x=-3.

Hence, the directrix of parabola is: x=-3

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Write the expression a 15 as a product of two exponents with the same base, one of
which equals:
a^6

Answers

Answer:

[tex]a^{6} a^{9} = a^{15}[/tex]

Step-by-step explanation:

is this the question ///

Write the expression a^15 as a product of two exponents with the same base, one of which equals: a^6

if so ...

[tex]a^{6} a^{9} = a^{15}[/tex]

Consider the function ƒ(x) = –2x – 7 and the function g(x), which is graphed above. Select the correct statement from the options that follow.
a) The function g(x) has a steeper slope than ƒ(x).
b) There isn't enough information to determine which function has a steeper slope.
c) The functions ƒ(x) and g(x) have the same slope.
d) The function ƒ(x) has a steeper slope than g(x).

Answers

Answer:

d) The function ƒ(x) has a steeper slope than g(x)

Step-by-step explanation:

We are given that

[tex]f(x)=-2x-7[/tex]

The graph g(x) passing through the point (1.2,0) and  (0,4).

Let

y=f(x)=-2x-7

Slope of function f(x)

[tex]m=\frac{dy}{dx}=-2[/tex]

Slope formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Using the formula

Slope of g(x)

[tex]m'=\frac{4-0}{0-1.2}[/tex]

[tex]m'=-3.33[/tex]

Slope of g(x)=-3.33<-2

Slope of f(x) is greater than slope of g(x).

Therefore, function f(x) has a steeper slope than g(x).

Option d) is correct.

Answer:

It's not D its A I Just took the test.

Step-by-step explanation:

Good luck!

Second time I’ve posted this. Please help!! :)

Answers

Answer:

-2 is an extraneous solution because it creates 0 in the denominator.

There is one acceptable solution to the equation

Step-by-step explanation:

x² + 5x + 6 = x² + 2x + 3x + 6

                  = x(x + 2) + 3(x + 2)

                  = (x + 2)(x + 3)

[tex]\frac{x}{x+2}+\frac{2}{x^{2}+5x+6}=\frac{5}{(x+3)}\\\\\frac{x}{x+2}+\frac{2}{(x+2)(x+3)}=\frac{5}{(x+3)}\\\\\frac{x*(x+3)}{(x+2)(x+3)}+\frac{2}{(x+2)(x+3)}=\frac{5*(x+2)}{(x+3)(x+2)}\\\\\frac{x^{2}+3x+2}{(x+2)(x+3)}=\frac{5x+10}{(x+3)(x+2)}\\\\[/tex]

x² + 3x + 2 = 5x + 10

x² + 3x - 5x + 2 - 10 = 0

x² - 2x - 8 = 0

x² + 2x - 4x - 8 = 0

x(x + 2) - 4(x + 2) = 0

(x + 2)(x - 4) = 0

x +2 = 0    or x - 4 = 0

x =  - 2    or x = 4

find the slope of the line for each pair of points (2, -10) (8, -16)

Answers

Answer:

-1

Step-by-step explanation:

We can use the slope formula since we are given two points

m = (y2-y1)/(x2-x1)

    = (-16- -10)/(8-2)

   = (-16+10)/(8-2)

   = -6/6

   = -1

What set of reflections would carry trapezoid ABCD onto itself?

y=x, x-axis, y=x, y-axis
x-axis, y=x, x-axis, y=x
y-axis, x-axis, y-axis
x-axis,y-axis,y-axis

Answers

2.

Explain y axis 4/5

help plsss

If d = c-b / a-n , then wbat is the value of b?
A) c-d / a-b
B) ca-d / ca+d
C) c-ad / 1-d
D) c+ad / d-1

Answers

help plsss

If d = c-b / a-n , then wbat is the value of b?

B) ca-d / ca+d

Find DC, given that line AD is the angle bisector of

Answers

It might be 21 but I’m not 100 percent sure, maybe.

Use a double-angle or half-angle identity to find the exact value of each expression

Answers

If 180° < θ < 270°, then 90° < θ/2 < 135°, which places θ/2 in the second quadrant so that sin(θ/2) > 0 and cos(θ/2) < 0.

Recall that

cos²(θ/2) = (1 + cos(θ))/2

==>   cos(θ/2) = -√[(1 + (-15/17))/2] = -1/√17

and

sin²(θ/2) = (1 - cos(θ))/2

==>   sin(θ/2) = +√[(1 - (-15/17))/2] = 4/√17

Then

tan(θ/2) = sin(θ/2) / cos(θ/2)

… = (4/√17) / (-1/√17)

… = -4

what amount of money is to be deposited in a bank to get RS 1225 in 9/2 year with the rate of intrest 5%​

Answers

Answer:

rs.6,300

Step-by-step explanation:

Simple Interest, S.I. = Rs. 1260 =  

100

PR×2

​  

 =    

50

PR

​  

          -(i)

Compound Interest, C.I. = Amount(A) - Principle(P)

=P(1+  

100

R

​  

)  

2

 - P = PR(R/10000+1/50)=Rs.1323         -(ii)

Dividing (ii) by (I),

200

R

​  

+1 =  

1260

1323

​  

 

⇒Rate,R=10%p.a.

Now,  

100

PRT

​  

=1260

⇒  

100

P×10×2

​  

=1260

The amount of money that we need to deposit in the bank to get RS 1225 is RS 1100.03.

What is compound interest?

Compound interest is applicable when there will be a change in principal amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount.

Suppose we need to deposit the P amount to get RS 1225

By compound interest formula,

1125 = P(1 + 0.05)^(9/2)

P = RS 1100.03

Hence "We need to deposit Rs. 1100.03 in the bank in order to receive Rs. 1225".

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Which of the following operations is true regarding relative frequency distributions? Multiple choice question. No two classes can have the same relative frequency. The relative frequency is found by dividing the class frequencies by the total number of observations. The sum of the relative frequencies must be less than 1. The sum of the relative frequencies is equal to the number of observations.

Answers

Answer:

The relative frequency is found by dividing the class frequencies by the total number of observations

Step-by-step explanation:

Relative frequency measures how often a value appears relative to the sum of the total values.

An example of how relative frequency is calculated

Here are the scores and frequency of students in a maths test

Scores (classes)              Frequency                Relative frequency

0 - 20                                10                               10 / 50 = 0.2

21 - 40                               15                               15 / 50 = 0.3

41 - 60                               10                               10 / 50 = 0.2

61 - 80                                5                                 5 / 50  = 0.1

81 - 100                             10                                10 / 50 = 0.2

                                          50                                               1

From the above example, it can be seen that :

two or more classes  can have the same relative frequencyThe relative frequency is found by dividing the class frequencies by the total number of observations. The sum of the relative frequencies must be equal to one The sum of the frequencies and not the relative frequencies is equal to the number of observations.

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