If ax + x^2 = y^2 -at , what is the value or x and y?
A) y-x
B) x-y
C) x+y
D) x^2 + y^2 / x-y

Answers

Answer 1

Answer:

dx. = yex ⇒ dy y. ∫. = x ... 2 xx dx. ∫. , i.e. yx = 4. 4 x c. +. Hence y = 3. 4 x c x.


Related Questions

Mr. Sun borrowed $15,600 for 54 months at simple interest to pay for a new swimming pool. If Mr. Sun paid the bank a total of $21,567.00, what was the simple interest rate of the loan?

Answers

Given:

Mr. Sun borrowed $15,600 for 54 months at simple interest.

Mr. Sun paid the bank a total of $21,567.00.

To find:

The rate of simple interest.

Solution:

We know that,

12 months = 1 year

1 month = [tex]\dfrac{1}{12}[/tex] year

54 months = [tex]\dfrac{54}{12}[/tex] year

54 months = 4.5 years

Simple interest is:

[tex]S.I.=Amount-Principal[/tex]

[tex]S.I.=21567-15600[/tex]

[tex]S.I.=5967[/tex]

Formula for simple interest is:

[tex]S.I.=\dfrac{P\times r\times t}{100}[/tex]

Where, P is principal, r is the rate of interest in percent and t is the number of years.

Putting [tex]S.I=5967,P=15600,t=4.5[/tex], we get

[tex]5967=\dfrac{15600\times r\times 4.5}{100}[/tex]

[tex]596700=70200r[/tex]

[tex]\dfrac{596700}{70200}=r[/tex]

[tex]8.5=r[/tex]

Therefore, the rate of simple interest is 8.5%.

simplify.
[tex]( { - 2})^{ - 3} [/tex]
options:

8

1/8

-8

-1/8​

Answers

Answer:

-1/8

Step-by-step explanation:

Apply exponent rule ^a^-b = 1/a^B

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{2}\mathsf{^{-3}}\\\\\\\mathsf{= \dfrac{1}{-2\times-2\times-2}}\\\\\\\mathsf{-2\times-2\times-2 =\bf (-2)^{3}}\\\\\mathsf{(-2)^3}\\\mathsf{= -2\times-2\times-2}\\\mathsf{= 4\times-2}\\\mathsf{\mathsf{= \bf -8}}\\\\\\\mathsf{= -2^{-3} \rightarrow\boxed{\bf -\dfrac{1}{8}}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: Option D. }\mathsf{\bf - \dfrac{1}{8}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer quickly plz
Circle A has a diameter of 7 inches, a circumference of 21.98 inches, and an area of 38.465 square inches. The diameter of circle B is 6 inches, the circumference is 18.84 inches, and the area is 28.26 square inches.

Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)

Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)

Part C: What observation can you make about the value of pi for circles A and B? (2 points)

Answers

Answer:

The observation I can make for the values of pi for circles A and B is that the value of pi remains the same whether we find pi using the circumference of the circle or the Area of the circle, the value of pi remains the same for both circles.

Pi = π = 3.14

Step-by-step explanation:

Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)

The formula for the circumference of circle when Diameter is given = πD

π = Circumference / Diameter

For Circle A :

Circle A has a diameter of 7 inches, a circumference of 21.98 inches.

π = 21.98 inches/7 inches

π = 3.14

For Circle B

The diameter of circle B is 6 inches, the circumference is 18.84 inches

π = 18.84 inches/6 inches

π = 3.14

Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)

The formula for the area of the circle = πr²

Circle A has a diameter of 7 inches, an area of 38.465 square inches.

r = Radius = 7 inches ÷ 2

= 3.5 inches

π = Area / Radius²

π = 38.465 in²/(3.5 inches)²

π = 3.14

For Circle B

The diameter of circle B is 6 inches, and the area is 28.26 square inches.

r = Radius = 6 inches ÷ 2

= 3 inches

π = Area / Radius²

π = 28.26 in²/(3 inches)²

π = 3.14

Part C: What observation can you make about the value of pi for circles A and B? (2 points)

The observation I can make for the values of pi for circles A and B is that the value of pi remains the same whether we find pi using the circumference of the circle or the Area of the circle, the value of pi remains the same for both circles.

The observation is that the values of [tex]\pi[/tex] remain 3.14 when [tex]\pi[/tex] is calculated from the areas and circumferences of both circles

The circumference of a circle

The given parameters are:

Circle A

Diameter = 7 inchesCircumference = 21.98 inches

Circle B

Diameter = 6 inchesCircumference = 18.84 inches

The circumference of a circle is:

[tex]C= \pi d[/tex]

Make [tex]\pi[/tex] the subject

[tex]\pi = \frac{C}{d}[/tex]

For circle A, we have:

[tex]\pi_A = \frac{21.98}{7}[/tex]

[tex]\pi_A = 3.14[/tex]

For circle B, we have:

[tex]\pi_B = \frac{18.84}{6}[/tex]

[tex]\pi_B = 3.14[/tex]

Hence, the value of [tex]\pi[/tex] in both circles is 3.14

The area of a circle

The given parameters are:

Circle A

Diameter = 7 inchesArea = 38.465 square inches.

Circle B

Diameter = 6 inchesArea = 28.26 square inches

The area of a circle is:

[tex]A= \pi \frac{d^2}{4}[/tex]

Make [tex]\pi[/tex] the subject

[tex]\pi = \frac{4A}{d^2}[/tex]

For circle A, we have:

[tex]\pi_A = \frac{4 * 38.465 }{7^2}[/tex]

[tex]\pi_A = 3.14[/tex]

For circle B, we have:

[tex]\pi_B = \frac{4 * 28.26 }{6^2}[/tex]

[tex]\pi_B = 3.14[/tex]

Hence, the value of [tex]\pi[/tex] in both circles is 3.14

The value of pi

The observation is that the values of [tex]\pi[/tex] in both circles when area and circumference are used is 3.14

Read more about area and circumference at:

https://brainly.com/question/15673093

Please help I need this

Answers

Answer:

from side a _2,4.5

from side b _-4

5,-2.

hope this will be helpful for you.

Questlon 4 of 10
What is the midpoint of the segment shown below?
AE
101
O A. (10.)
(5.4)
O B. (5,1)
10
(5,-3)
O C. (5,-)
O D. (10,1)
SUBMIT

Answers

Answer:

c

Step-by-step explanation:

To find the midpoint the formulas

x=x1+x2/2 and y=y1+y2/2 are used

in this case x1 is 5,x2 is 5,y1 is 4 and y2 is -3

therefore

x=5+5/2.

=10/2

=5

y=4+(-3)/2

=1/2

The midpoint of a line segment divides the line into equal segments

The midpoint of the line segment is (5,1/2)

The endpoints of the line is given as:

(5,4) and (5,-3)

The midpoint of the line is calculated as:

(x,y) = 0.5(x1 + x2, y1 + y2)

So, we have:

(x,y) = 0.5(5 + 5, 4 - 3)

Evaluate the sum and difference

(x,y) = 0.5(10, 1)

Evaluate the product

(x,y) = (5, 1/2)

Hence, the midpoint of the line segment is (5,1/2)

Read more about midpoints at:

https://brainly.com/question/16828532

What is the measure of AC

Answers

Answer:

180°

Step-by-step explanation:

Well we know that AB is 90° and considering CB is the exact same I guess it's 90° too so 90+90=180°

Which function is the inverse of f(x) = 2x + 3?
کا انM
f'-1(x) =-1/2x-3/2
f’-1(x) = 1 / 2X - 3/2
F'-1(x) = -2x+3
F’-1(x) = 2x+3

Answers

Answer:

a) 1/2 x - 3/2

Step-by-step explanation:

y = 2x +3

y-3 = 2x

x = (y - 3 )/2

x= 1/2 - 3/2

look at photo! please help needed! 1.

Answers

Answer:

5/12

Step-by-step explanation:

it says in the question that 1/4 +1/3 is used so in order to make it simple we have to find the common denominator that is 12. so converting 1/4 is 3/12 and 1/3 is 4/12.so u add the numerator and u get 7 over 12 .so now the whole container of peanuts is 12/12 but 7/12 is used so 12-7= 5. so ur ans is 5/12

what is the length of PR?

Answers

Answer:

nhgfdsazxcvb

Step-by-step explanation:

hfdcvbn

Please helppppp!!!!!!!!

Answers

Answer:

128 cm^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) h

where b1 and b2 are the lengths of the bases and h is the height

A =1/2( 10+22) * 8

A = 1/2 (32)8

  = 128

Answer:

A=128 cm²

Step-by-step explanation:

Hi there!

We are given a trapezoid and we want to find the area of it

The area of a trapezoid is given as [tex]\frac{a+b}{2}h[/tex], where a and b are the bases and h is the height

The bases are the parallel sides

They are the sides marked as 10 cm and 22 cm in this case

The height is the distance between the bases

In this case, it is the side marked as 8 cm

We know everything needed for the area, let's just label everything to avoid any confusion

a=10

b=22

h=8

Now substitute into the formula

A=[tex]\frac{a+b}{2}h[/tex]

A=[tex]\frac{10+22}{2}*8[/tex]

add the numbers on the numerator together

A=[tex]\frac{32}{2}*8[/tex]

Divide 32 by 2

A=16*8

multiply

A=128 cm²

Hope this helps!

Which of the following is a geometric sequence with a common ratio of 2?

A: 14, 28, 56, 112
B: 64, 32, 16, 8
C: 87, 85, 83, 81
D: 14, 16, 18, 20

Answers

Answer:

D. 14, 16, 18, 20

Step-by-step explanation:

it's adding by 2 each time

Answer:

the answer is d my guy :)

Step-by-step explanation:

ASAPPPPPPPPPpppppppppppppp

Answers

Answer:

8 1/2

Step-by-step explanation:

Take the decimal portion

.5

This is 5 tenths

write 5/10

Simplify

1/2

Bring the whole number back

8 1/2

Answer:

8 1/2

Step-by-step explanation:

find the LCM and hcf of 72 and 162 , leaving the LCM in prime factors

Answers

Answers:  LCM = 2^3*3^4HCF = 18

=========================================================

Explanation:

Find the prime factorization of 72 and 162

72 = 8*9 = 2^3*3^2162 = 2*81 = 2*9^2 = 2*(3^2)^2 = 2*3^4

Here's a simplified version of each

72 = 2^3*3^2162 = 2*3^4

We have these unique primes: 2, 3

Circle the terms that have the largest exponents for each of those unique primes. So you'll circle 2^3 and 3^4. Those items circled will multiply together to get the LCM.

This means 2^3*3^4 is the LCM (lowest common multiple).

2^3*3^4 turns into 648, but your teacher wants you to keep the LCM in prime factor form.

------------------------------

Now onto the HCF (highest common factor; aka GCF).

Looking at

72 = 2^3*3^2162 = 2*3^4

We again see '2's and '3's as the unique primes. Both have at 1 copy of '2' between them. They also both have 3^2 between them. It might help to think of 3^4 as 3^2*3^2.

Those common factors you circled are then multiplied.

Overall, the HCF is 2*3^2 = 2*9 = 18

-----------------------------

Side note: The HCF is useful to help reduce fractions, while the LCM is useful to help find the LCD (lowest common denominator) when adding or subtracting fractions of different denominators. There are other applications of each of these.

Answer:

LCM= 648

HCF= 18

Step-by-step explanation:

2z^8- 32z^8
Help plz

Answers

Answer:

-30z^8

Step-by-step explanation:

[tex]2 {z}^{8} - 32 {z }^{8} \\ = - 30 {z}^{8} [/tex]

Answer:

-30z^8

Step-by-step explanation:

2z^8- 32z^8

-30z^8

20 points!!!!! Help!!!!A company manufactures car radiators. The cost of producing x car radiators is given by the function f(x) = 600x + 500.
The revenue which the company receives for selling x car radiators is given by the function g(x) = 700x + 100.
Determine the resulting profit function, h, of the company.
O
h(s)
f() - g(1) = -1001 + 400
h(s)
--
g(1) - |(1) = 1001 - 400
O
Ο Ο
h()
f(x) + g(x)
= 1,3001 + 600
Oh(x)
g(a) f(I) = (7000 + 100) (600x + 500)

Answers

Answer:

100x-400

B

Step-by-step explanation:

Profit= Revenue - cost

so just subtract the two equations

(700x+100)-(600x+500)

100x-400 which is answer choice B

Answer:

Step-by-step explanation:

so subtract the cost function from the revenue function

700x + 100

-(600x + 500)

profit(x) = 100x -400

What number cube has faces numbered 1 to 6.

Answers

Answer:

I don`t see the attachment

Step-by-step explanation:

SECTION B
A matatu and Nissan left town A for town B 240km away at 8.00 a.m travelling at 90km/hr
and 120km/hr respectively. After 20 minutes the Nissan had a puncture which took 30
minutes to mend.
(5mks
a) How far from town A did the Nissan catch up with the matatu?

Answers

9514 1404 393

Answer:

  180 km

Step-by-step explanation:

The Nissan had traveled (120 km/h)(1/3 h) = 40 km when it had the puncture. It started from that location when the puncture was repaired at t = (1/3+1/2) = 5/6, where t is in hours. Then the two vehicles met (again) when ...

  Matatu distance = Nissan distance

  90t = 40+120(t -5/6)

  0 = 40 +30t -100 . . . . . . subtract 90t, eliminate parentheses

  60 = 30t . . . . . . . . . . . add 60

  2 = t . . . . . . . . . . . . . 2 hours after leaving, the cars meet again

That distance from town A is ...

  y = 90t = 90(2) = 180 . . . . km

Can some one help me solve these 3 questions?

Answers

7. A
8. Is the 1st picture
9.is the second picture

Divide round to the nearest tenth 0.197 divided by 3.0

Answers

Answer:

0.657 I think this is the answer or it's 0.065 hehe

Mike, a Salvation Army bell ringer, has 20% as many quarters as nickels in his cup. If Mike has $6.00 in quarters and nickels, how many nickels does he have?

Answers

5.8 Nickels

Step-by-step explanation:

Let x rep no of Nickels in Mike's cup

Then x - 0.2 = Number of quarters in Mike's cup

0.2x = Amount of money that mike has from the nickels

1 ( x - 0.2) = Amount of money that Mike has from the quarter

Then,

0.2x + 1 (x - 0.2) = 6

Expand the bracket

0.2x + x - 0.2x = 6

x = 6

Recall

x - 0.2 = 0

6 - 0.2 = 5.8

Therefore, Mike has 5.8 nickels for the quarter

what is 100^100 / 100^98 to be 100?

Answers

Answer:

100 ^2

10000

Step-by-step explanation:

100^100 / 100^98

We know that a^b / a^c = a^(b-c)

100 ^ (100-98)

100 ^2

10000

Answer:

100

Step-by-step explanation:

Emily is entering a bicycle race for charity. Her mother pledges $0.30 for every 0.5 mile she
bikes. If Emily bikes 10 miles, how much will her mother donate?
Her mother will donate $

Answers

Answer:

The mother will donate $5

We know that her mother will donate 0.30 for every 0.5 miles she bikes. We can convert this to one mile, which is 0.60 cents per mile. We can now multiply by ten. This will gives us $6.

Another way to solve this is divide 10 by 0.5. This gives us 20, and if we multiply 20 by 0.30 we get $6.

what is the significant figures for 0.045325​

Answers

Answer:

There are 5 significant digits in 0.045325 and they are 4, 5, 3, 2, and 5.

Step-by-step explanation:

Significant digits rules:

All non-zero numbers count as significant digitsLeading zeroes (zeroes in front of any non-zero numbers) are never significant digitsZeroes in-between non-zero numbers count as a significant digitsTrailing zeroes (zeroes after all non-zero numbers) count only if there is a decimal

In 0.045325, the two zeroes are leading zeroes and therefore do not count. The rest of the digits, (4, 5, 3, 2, and 5) are all non-zero and therefore count. Thus, there are 5 significant digits in 0.045325.

At pleasant view school, 1/3 9f the grade 8 students play in the band. Of those in the band, 2/5 play woodwind instruments. What fraction of the grade 8 students play woodwinds?​

Answers

Answer: 2/15 of the grade 8 students play woodwind instruments
Multiply the two fractions together: 1/3*2/5= 2/15

Instructions: Find the measure of the indicated angle to the nearest
degree.
26
?
32
? =

Answers

Answer:

36

Step-by-step explanation:

Since this is a right triangle we can use trig functions

cos theta = adj side / hyp

cos ? = 26/32

Taking the inverse cos of each side

cos^-1(cos ?) = cos^-1( 26/32)

? = 35.65908

To the nearest degree

? = 36

plzzz helpppp dont ignoreeee

Answers

Answer:

X= 40

Step-by-step explanation:

2(110 + 4x) = 220 + 8x = 540

8X = 320

X= 40

Answer:

x = 17.5

Step-by-step explanation:

Since there’s a dashed line between the shape, the new total = 180* (degrees)

110* + 3x + x = 180*

Subtract 110 from 180

3x + x = 70

x = 17.5

Pleasee help
The green line below *blank*. check all that apply

Answers

Answer:

C and D

Step-by-step explanation:

Answer:

C & D

Step-by-step explanation:

Correct,

C. The line goes through both x & y (since it is on zero)

D. The line crosses through the exact center which is also called the origin

Incorrect,

B. It is not parallel to any line

E. It does not cross the exact x-axis line

F. It does not cross the exact y-axis line

Not 100%,

A. Not too sure whether you consider that perpendicular, might wanna look it up

A and B are partner in a business .A contribution RS 20000 and B rs 30000 a however acts as a manager the understanding being that of the profit should get 25% for his service as manager the remaining divided in the ratio of their contribution .If B ges Rs 1350 Ashish share what would A get

Answers

Answer:

Rs 1,650

Step-by-step explanation:

The given contribution are;

A contributes Rs 20,000, and B contributes Rs 30,000

The percentage of the profit A receives as manager = 25%

The amount of the profit divided in the ratio of their contribution = The remaining profit (75%)

The amount B gets = Rs1,350

The amount A gets = required

The ratio of their contribution at which the remaining profit is shared = 20,000:30,000 = 2:3

Where, out of 5 parts of 75% of the profits, B gets 3, while A gets 2

Let P represent the profit, we have;

B's share = 3/5× 0.75 × P = 1,350

∴ P = (5 × 1,350/3)/0.75 = 3,000

A gets 25% of the profits and 2/5 of the 75% remaining profit

∴ The amount A gets = 0.25×3000 + (2/5)×0.75×3000 = 1,650

Or simply put;

A gets the remainder of the profit which is Rs 3,000 - Rs 1,350 = Rs 1,650

Can someone help me with this math homework please!

Answers

Answer:

B

Step-by-step explanation:

In fact

for 5 pounds the cost will be 7.50

for 6 pounds 9

for 7 pounds 10.50

for 8 pounds 12

What is the value of x in this figure?

Enter your answer in the box.
x =

Answers

Answer: X = 114

Step-by-step explanation: this is because vertical angles are equal to each other.

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