A fence is going to diagonally divide a 30 foot by 24 foot rectangular garden in half. Approximately how long, in feet, should the fence be?

19
27
38
46
54

Answer:

Step-by-step explanation:

The change of y with respect to x is known as the slope of the line. The standard form of the equation is y = mx+c  where m is the slope.

Given the equation 25x - 4y = 50, we need to make y the subject of the formula before we get the slope as shown;

25x - 4y = 50

-4y = -25x+50

Divide through b y -4

-4y/-4 = -25x/-4 + 50/-4

y = 25/4 x - 25/2

Comparing with y = mx+c

mx = 25/4 x

m = 25/4

Hence the rate of change of y with respect to x is 25/4

The rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].

Given the equation:

[tex]25x - 4y = 50[/tex]

The rate of change = the slope of the line

[tex]25x - 4y = 50[/tex]

[tex]25x -25x - 4y = - 25x + 50\\\\-4y = - 25x + 50[/tex]

[tex]\frac{-4y}{-4} = \frac{-25x}{-4}+ \frac{50}{-4}\\\\y = \frac{25}{4}x - \frac{25}{2}[/tex]

Therefore, the rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].

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Answer:

x = - 3, x = - 2, x = 0

Step-by-step explanation:

Given

x³ + 5x² + 6x ← factor out x from each term

= x(x² + 5x +6) ← factor the quadratic

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)

The factors are + 2 and + 3 , since

2 × 3 = + 6 and 2 + 3 = + 5 , thus

x² + 5x + 6 = (x + 2)(x + 3) , and

f(x) = x³ + 5x² + 6x = x(x + 2)(x + 3)

To find the zeros equate f(x) to zero, that is

x(x + 2)(x + 3) = 0

Equate each factor to zero and solve for x

x = 0

x + 2 = 0 ⇒ x = - 2

x + 3 = 0 ⇒ x = - 3

Zeros from least to greatest are x = - 3, x = - 2, x = 0

Answer:

(11, 13)

Step-by-step explanation:

Given,

3x - 2y = 7 => (eqn. 1)

y = x + 2 => (eqn. 2)

Substitute y = (x + 2) in eqn. 1.

3x - 2(x + 2) = 7

Use -2 to multiply each term you have in the parentheses. (This is where Carolyn got it wrong)

3x - 2x - 4 = 7 (-2*4 = -4 not +4)

x - 4 = 7

Add 4 to both sides

x = 7 + 4

x = 11

Substitute x = 11 in eqn. 2.

y = x + 2

y = 11 + 2

y = 13

Solution: (11, 13)

Answer:

Step-by-step explanation:

(m*2)+4=

b+(b*2)+1=

Answer:

71 degrees

It's the measure of angle 1.

Answer:

a) 14/ 29

b) 4/11

Step-by-step explanation:

x = 5

Answer:

I had shoot it so, hope it help u. and sorry, if it is incorrect!!

Answer:

X=1, y=1,(x,y)=(1,1)

X=0,y=-1:3,(x,y)=(0,1:3)

X=1:4,y=0,(1:4,0)

Step-by-step explanation:

Just put the numbers instead of x in the equation and get y, and in (x, y) put the numbers x, y instead.

Answer:

4.95x + 3.5y = 21.85

Step-by-step explanation:

x represents the greens, and y represents the beef bites.

Answer:

1 hour or 60 minutes later

Answer:

VU < US < SR by the hinge theorem.

Step-by-step explanation:

Did quiz on edge

Answer:

A. VU < US < SR  

Step-by-step explanation:

I got a 100 on the test

Answer:

The y-interept is 3 and the slope is -2.

Step-by-step explanation:

The y-intercept is always the "b" in y=mx+b

Answer:

Slope:  − 2

y-intercept:  ( 0 , 3 )

Step-by-step explanation:

Answer:

y= (-2/3)x+10/3  is a function

3y=18 is a function

Step-by-step explanations

in both cases for each input x there is exactly one output y

Answer:

0

Step-by-step explanation:

bcoz 2^5 X 9²=2592

so the difference is 0

Answer:do you mean plotting a graph

Step-by-step explanation:

Answer:

p= -20

Step-by-step explanation:

23p+1/4-1/4(8p+1)=5(4p-6)+10

23p+1/4-2p-1/4=20p-30+10

21p=20p-20

p= -20

Answer:

a + b + c = m

=> (a + b+ c)³= m³

⇔m³ = a³ + b³ +c³ + 3(a + b)(a + c)(c + b)

=> m³ + 2p³ = 3a³ + 3b³ + c³ + 3(a + b)(a + c)(b + c)

with c = 0 => m³ + 2p³ = 3a³ + 3b³ + 3ab(a + b)

have:

3mn = 3(a + b + c)(a² + b² + c²)

with c = 0

=> 3mn = 3(a + b)(a² + b²) = 3[a³ + ab² + ba² + b³]

=  3a³ + 3b³ + 3(a²b + ab²)

= 3a³ + 3b³ + 3ab(a + b)

= m³ + 2p³

=> 3mn = m³ + 2p³

Step-by-step explanation:

Given the conditions a + b + c = m, a² + b² + c² = n, and a³ + b³ + c³ = p, we are required to prove that if c = 0, then m³ + 2p³ = 3mn.

If c = 0, then the equations become a + b = m, a² + b² = n, and a³ + b³ = p.

Using the sum of cubes identity (a³ + b³ = (a + b)(a² - ab + b²)), we can rewrite the third equation as (a + b)(a²- ab + b²) = p.

Since a + b = m, we can substitute this value into the above equation: m(a² - ab + b²) = p.

Now, we'll square the first equation (a + b = m) to get a² + 2ab + b² = m². Rearranging, we find ab = (m² - n)/2.

Substituting this value of ab into the equation m(a² - ab + b²) = p, we get m(a² + b² - (m² - n)/2) = p.

Now, we know that a² + b² = n, so we can replace a² + b² in the equation: m(n - (m² - n)/2) = p.

Simplifying the equation further, we get

mn - (m³ - mn)/2 = p.

Finally, rearranging the equation, we find that

m³ + 2p³ = 3mn.

Thus, we have proved that if c = 0, then m³ + 2p³ = 3mn.

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Answer:

268.

Step-by-step explanation:

So we have 51*23+49+49*11*-11+51*-23

2(51+23+49+11) ( the 2 negatives cancel out)

So, 51+23+49+11 is 134.

2(134)

or 268.

Hope this answers your question!!!

Answer:

268 :)

Step-by-step explanation:

Answer:

1 5555/10000

Step-by-step explanation:

One plus five thousand, five hundred and fifty-five all over 10000.

Answer:

[tex]\frac{311}{200}[/tex]

Step-by-step explanation:

1.5555

=[tex]\frac{15555}{10000}[/tex]

=[tex]\frac{311}{200}[/tex] (dividing numerator and denominator by 5)

Answer:

0

Step-by-step explanation:

2x - x2

2(5) - (5)2

0

Answer:

-15

Step-by-step explanation:

2x - x^2 = 2×5 - 5^2 = 10-25 = -15

Answer:

713 paint balls

Step-by-step explanation:

The inequality equation for the above question is given as:

$18 + $0.08 × b ≥ 75

Where b = number of paint balls

$18 + 0.08b ≥ 75

0.08b ≥ 75 - 18

0.08b≥ 57

b ≥ 58/0.08

b ≥ 712.5

b≥ 713 paint balls

Hence, Carolina would need to buy 713 paintballs along with the entrance fee to get the promotion.

Answer:

8

Step-by-step explanation:

2/3 x2= 1.5

1.5 x4=  6

2x4=8

Answer:

$875

Step-by-step explanation:

take the 700 mulitple it by.25. you should get the answer 175. add 175 to 700 and you get your whole which is 875.

Answer:

-3/5

Step-by-step explanation:

to figure that out you have to do y^2 - y^1/ x^2 - x^1

2-(-1)/ -3 - 2

= 3/-5

=-3/5

Answer:

[tex]y+3=\frac{2}{5} (x+5)[/tex]

Step-by-step explanation:

First, let's find the slope using the 2 given points and the slope equation.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Enter in the points:

[tex]m=\frac{-3--1}{-5-0}[/tex]

Simplify:

[tex]m=\frac{-2}{-5}[/tex]

[tex]m=\frac{2}{5}[/tex]

Now that we have slope we can just use one of the points given. Remember point-slope form:

[tex]y-y1=m(x-x1)[/tex]

I'll use the point (-5,-3) in this case.

So, your solution is

[tex]y+3=\frac{2}{5} (x+5)[/tex]

Hope this helps!

y+1=2/5(x+0) should be it

Answer:5/16

Step-by-step explanation:5/12 divided by 4/3 = 5/16

Answer:

5/12 ÷ 4/3 = 5/16

Step-by-step explanation:

5/12÷4/3

= 5/12×3/4

= 5/12 × 3/4

= 15/48

= 15/48 ÷ 3/3 = 5/16

Answer:

The below T&Cs (including prices and taxes) are provided by Hertz and may change ... Additional Drivers: $13.50* per day/driver (at most locations) capped at $189.00* per rental/driver; Extra miles (if your rental has limited mileage, each additional mile over the limit will ... It is illegal to drive in the US without car insurance.

Step-by-step explanation:

Answer:

Sorry i have forgotten about this, sorry i couldn't answer this

Answer:

look at the question another way or from another angle

Step-by-step explanation: