The slope of the tangent to a curve at any point (x, y) on the curve is x divided by y . Find the equation of the curve if the point (2, -3) is on the curve.

A) x2 + y2 = 13
B) x2 + y2 = 25
C) x2 - y2 = -5
D) x2 - y2 = 5

Answer:

it is and y=4x

(i'm pretty tired so I can't include an explanation.)

Answer:

Yes it's a proportional relationship

Step-by-step explanation:

0x4=0

2x4=8

4x4=16

6x4=24

8x4=32

Answer:

lenght = 2x + 3

breadth = x - 1

perimeter = 40

Now,

perimeter = 2(l+b)

40= 2( 2x + 3 + x - 1)

40= 2(3x - 2)

40 = 6x- 4

40+4 =6x

44/6 =x

x = 7.33

Answer:

xy=5

Step-by-step explanation:

from the question, y varies directly with x and y

Then y ∝ xy

If we introduce proportionality sign we have

y=r xy

Where r= proportionality constant

Then if we substitute the given values

y = 25 when r = 5.

We have

y=r xy

25=5xy

Divide both sides by 5

xy=25/5

xy=5

Hence, equation that models the statement is xy=5

I just checked with a calculator, and the mean stays the same.

So the answer is the first option! :D

Answer x=22/5 or 4.4

Step-by-step explanation:

1. Combine like terms

15x-12=54

2. Add 12 to both sides

15x=66

3. Divide both sides by 15

15x/15=66/15

4. x=22/5 or 4.4

9514 1404 393

Answer:

  x = 4.4

Step-by-step explanation:

This equation has x-terms on one side of the equal sign and constants on both sides.

First, collect terms.

  15x -12 = 54

Then add the opposite of the constant that is on the same side as the x-term.

  15x = 66

Now, divide by the coefficient of x.

  x = 66/15 = 22/5

  x = 4.4

__

Check

  -3 +7(4.4) -9 +8(4.4) = 54

  -3 + 30.8 -9 +35.2 = 54 . . . . true

Answer:

=5.2/1.3

=4

16/4

=4

Step-by-step explanation:

first find the ratio of 5.2 to 1.3 by dividing the 2 numbers. That gave me 4 since you want EF I just did 16 divided by 4 which gave me 4.

EF=4

Answer:

? = 4.29

Step-by-step explanation:

Remark

Let  x be the question mark. You get the proportionality by using the dimensions of the little triangle to the dimensions of the large triangle.

Equation

14/(14+ 4) = 15/(x + 15)                   Combine like terms on the left

14/18 = 15/(x + 15)                          Cross multiply

14*(x + 15) = 18 * 15                        Simplify the right

14(x + 15) = 270                             Divide by 14

x + 15 = 270 / 14

x + 15 = 19.29                               Subtract 15 from both sides

x = 19.29 - 15

x = 4.29    

Answer:

64.468

Step-by-step explanation:

Answer: 64.468 kilograms

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

Answer:

im pretty sure its c

Step-by-step explanation:

Answer:

y = -5x + -7

Step-by-step explanation:

y = mx + b

y = -5x + b

To find b... 8 = -5*-3 + b

8 = 15 + b

8 - 15 = b

-7 = b

So....y = -5x + -7

Hope this helps :D

Answer:

x=80 and y=30

Step-by-step explanation:

HOPE THAT HELPS!!!!!!!

Answer:-9a^4+18a^2-5

(3a  

2

−1)(−3a  

2

+5)

=3a  

2

(−3a  

2

+5)−1(−3a  

2

+5)

​  

​  

=−9a  

4

+15a  

2

+3a  

2

−5

=−9a  

4

+18a  

2

−5

​  

Answer:

m + 6

Step-by-step explanation:

3m + -4m = 1m = m

3 + 3 = 6

Answer:

We conclude that:

[tex]c=-\frac{5n}{3\left(-n+2\right)};\quad \:n\ne \:2[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{4}{2n}+\frac{5}{3c}=1[/tex]

Let us solve for 'c'

[tex]\frac{4}{2n}+\frac{5}{3c}=1[/tex]

Least Common Multiplier of 2n, 3c:   6nc

Now multiply both sides by LCM = 6nc

[tex]\frac{4}{2n}\cdot \:6nc+\frac{5}{3c}\cdot \:6nc=1\cdot \:6nc[/tex]

Simplify

[tex]12c+10n=6nc[/tex]

Subtract 10n from both sides

[tex]12c+10n-10n=6nc-10n[/tex]

Simplify

[tex]12c=6nc-10n[/tex]

Subtract 6nc from both sides

[tex]12c-6nc=6nc-10n-6nc[/tex]

Simplify

[tex]12c-6nc=-10n[/tex]

Factor 12c - 6nc = 6c(2-n)

[tex]6c\left(2-n\right)=-10n[/tex]

Divide both sides by 6(2-n);  n≠2

[tex]\frac{6c\left(2-n\right)}{6\left(2-n\right)}=\frac{-10n}{6\left(2-n\right)};\quad \:n\ne \:2[/tex]

simplify

[tex]c=-\frac{5n}{3\left(-n+2\right)};\quad \:n\ne \:2[/tex]

Therefore, we conclude that:

[tex]c=-\frac{5n}{3\left(-n+2\right)};\quad \:n\ne \:2[/tex]

Answer: x^15

Step-by-step explanation:

You multiply 5 times 3

Answer:

18. Its 2 meters.

19. Its 0.2 grams

20. Its 1,920

Step-by-step explanation:

When you convert 200 centimeters to meters its 2.

When you convert 2,000 milligrams in grams its 0.2

15% of 12, 800 is 1,920

Hope this helps:)

Answer:

850 words can be typed in 17 minutes

Step-by-step explanation:

Divide 300 by 6 and multiply it by 17 and that is your answer, 850.

Answer:

Step-by-step explanation:

if you type 300 words in...................6 minutes you will type

                300/6=50 words.............1 minute

in 17 minutes

50*17=850 words in 17 minutes

Answer:

Step-by-step explanation:

1. 30$ 2. 5$ 3. 60$ 4. 45$   trust

Step-by-step explanation:

Volume:

[tex]volume \: of \: a\: sphere = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \pi( {5)}^{3} [/tex]

Answer:

[tex]\dfrac{3}{4}n[/tex]

Step-by-step explanation:

The ratio of bananas to strawberries is 3:4.

That means for every 3 bananas you buy, you buy 4 strawberries.

That also means that for every 4 strawberries you buy, you buy 3 bananas.

The number of bananas you buy is 3/4 of the number of strawberries you buy.

If you buy n strawberries, then the number of bananas you buy is

[tex]\dfrac{3}{4}n[/tex]

Answer:

67

Step-by-step explanation:

I THINK THIS IS THE ANSWER

Answer:

x=1

Step-by-step explanation:

Distribute 5/8 to x and -1/3 which will result you in 5/8x - 5/24

The equation now looks like this:

5/8x - 5/24= 5/12

Move -5/24 to the other side by adding 5/24 on both sides

5/8x - 5/24 + 5/24 = 5/12+5/24

(Multiply 2 and 5/12 on both the numerator and denominator which will result you to 10/12 add 5/24 which is 15/24)

Result:

5/8x=15/24

Multiply by 8/5 on both sides:

x=1

Answer:

f=4

Step-by-step explanation:

-11f = 7(1-2f)+5

step 1 distribute what is outside of the parenthesis to the inside of the parenthesis

-11f=7-14f+5

step 2 combine like terms

-11f=12-14f

step 3 add 14 to each side

3f=12

step 4 divide each side by 3

f=4

Answer:

Step-by-step explanation:

x + 0.7 = 1 - 0.2x

Add 0.2x to both sides

x + 0.2x + 0.7 = 1 - 0.2x + 0.2x

1.2x + 0.7 = 1

Subtract 0.7 from both sides:

1.2x + 0.7 - 0.7 = 1 - 0.7

1.2x = 0.3

Divide both sides by 1.2:

1.2x/1.2 = 0.3/1.2

x = 0.25

Answer:

X=0.25

Step-by-step explanation: x + 0.7 = 1 - 0.2x

Add 0.2x to both sides

x + 0.2x + 0.7 = 1 - 0.2x + 0.2x

1.2x + 0.7 = 1

Subtract 0.7 from both sides:

1.2x + 0.7 - 0.7 = 1 - 0.7

1.2x = 0.3

Divide both sides by 1.2:

1.2x/1.2 = 0.3/1.2

x = 0.25

Answer:

36 people would order chicken.

Step-by-step explanation:

Case I: (50 People in Total)

Total Number of People Ordering=8+10+18+14=50

Percentage of People ordering chicken=people ordering chicken/total number of people=18/50=0.36%

Case II: (100 People in Total)

Number of People ordering chicken=percentage of people ordering chicken x total number of people=0.36 x 100=36

Step-by-step explanation:

Amount borrowed=400

interest rate=4%

Amount of interest after x years =0.04XxX400=$16x

Total to be paid back=400+0.04XxX400=400+16(1)

1) the amount of interest.if Franco pays back the loan in x=1 years is

16x1=$16

2) the amount of interest,if Franco pay back the loan in x=2 years is,

16x2=$32

3) the amount of franco will pay the lender after 2 years will be

400+(16x2)=400+32=$432