Point M is on line segment LN. Given LN = 9, MN = 4x, and LM=5x
determine the numerical length of MN

Answer : MN =

Answer:

2/9 obvi

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

subtracting 3 from both sides, you get x=7.

Answer:

14

Step-by-step explanation:

The value of two positive integers are 14 and 14.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Product of two positive integers are 196.

Sum of two positive integers are minimum.

Now,

Let two positive integers are x and y.

Since, Product of two positive integers are 196.

So, we can formulate;

xy = 196    ... (i)

And, Sum of two positive integers are minimum.

So, we can formulate;

s = x + y

From equation (i);

y = 196/x

Substitute in above equation, we get;

s = x + y

s = x + 196/x

Differentiate with respect to x as;

d/dx (s) = d/dx(x + 196/x)

ds/dx = 1 - 196/x² ... (ii)

Substitute ds/dx = 0, we get;

ds/dx = 1 - 196/x² = 0

1 - 196/x² = 0

1 = 196/x²

x² = 196

x = ± 14

Differentiate equation (ii) again;

d²s/dx² = 0 - (-2 × 196)/x³

d²s/dx² = 392/x³

At point x = 14,

d²s/dx² = 392/8³ > 0

Hence, At x = 14, the value is minimum.

So, we get;

xy = 196

at x = 14

y = 196/14

y = 14

Hence, The value of two positive integers are 14 and 14.

Learn more about the product visit:

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Answer:

= 1/8 or 0.125

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

A negative x a negative makes a positive

Answer: Linear equations in two variables. If a, b, and r are real numbers (and if a and b are not both equal to 0) then ax+by = r is called a linear equation in two variables. (The “two variables” are the x and the y.) The numbers a and b are called the coefficients of the equation ax+by = r.

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

It's an equation that has two variables

that's to say it has x and y (generally)

it is linear when you graph it, it forms a line and that only happens when the mayor exponent is one

so

[tex](something_1)x^{1}+(something_2)y^{1} =(something_3)[/tex]

notice all the something are completely different

or you could find it as

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

where m is the slope

and b some number

so that's it

Answer:

6

Step-by-step explanation:

Given that the coordinate plane, three of the vertices of the rectangle are located at (-1.25, -0.25),

(-1.25, 0.25), and (1.25, 0.25)

The length L of the shape will be:

L = 0.25 - ( - 0.25 )

L = 0.25 + 0.25

L = 0.5

The width of the shape will be:

W = 1.25 - ( - 1.25)

W = 1.25 + 1.25

W = 2.5

Perimeter P = 2L + 2W

Substitute the Length and the width into the formula

P = 2(0.5) + 2(2.5)

P = 1 + 5

P = 6 metres

Therefore, the perimeter of the shape is 6 metres

Answer:

  c. This quadratic equation has two complex solutions.

Step-by-step explanation:

Of the choices ...

  a. This quadratic equation has exactly one real solution.

  b. This quadratic equation has two real solutions.

  c. This quadratic equation has two complex solutions.

  d. This quadratic equation has no solutions.

The one that is true is c: two complex solutions.

__

The discriminant of quadratic ax^2 +bx +c = 0 is ...

  d = b^2 -4ac

For this quadratic, the value is 6^2 -4·5·2 = -4.

When the discriminant is positive, there are two distinct real solutions.

When the discriminant is zero, there is one real solution.

When the discriminant is negative, there are two complex solutions. The discriminant of this quadratic is negative, so there are two complex solutions.

Answer:

(f+g) (x)=x^2+4x-4

Step-by-step explanation:

add them together

f(x)+g(x)

14x+1+x^2-5

x^2+4x-4

(f+g)(x)+x^2+4x-4

Answer:

tanx

Step-by-step explanation:

tan=TOA

opp/adj

x=p/r

Answer:

600,000

Step-by-step explanation:

I think that it will be 600,000 because the 3 is below 5 which you can not round anything that is below 5.This what I look at when i Round and it may or may not be helpful to other people:

5 or more raise the score

4 or less let it rest

That is what I learned.

Answer:

8

Step-by-step explanation:

total paid: $135.95

cost of gloves: $15.95

amount for classes: $135.95 - $15.95 = $120

cost of each class: $15

number of classes: $120/$15 = 8

Answer: 8 classes

Problem 1

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

Explanation:

Each term is separated by a plus sign. If we had something like -4a-7b, then rewrite it as -4a+(-7b). This works because subtraction is really adding a negative. Example: 2-3 = 2+(-3)

So the original expression becomes -4a+(-7b)+5+c and we see there are four terms here.

The terms with the variables are -4a, -7b and c. The variables are simply letters so we just say a,b,c are the variables. The coefficients are the numbers to the left of the variables. For the term c, it is really 1c, so the coefficient is 1.

The constant is the term without a variable multiplied with it. So that would be the 5. As the name suggest, the constant term does not change based on whatever the variables are.

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

Problem 2

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

Explanation:

We'll follow the same idea as problem 1.

Rewrite 7-5h-2-k as 7+(-5h)+(-2)+(-k) and we see there are four terms.

The term -k is the same as -1k, so the coefficient is -1

The variables this time are h,k as those are the two letters that show up.

The constants are 7 and -2 because no variables are attached to them.

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

I'll let you do the rest. If you're still stuck, then please let me know

Answer:

D(1, -2)

E(3, -4)

Answer:

249.64285714 minutes

Step-by-step explanation:

Let

The number of minutes you talk = t

C1 = Cost in dollars of the first plan

C2 = Cost in dollars of the second plan

First plan

The first plan charges a rate of 22 cents per minute

Converting cents to dollars

100 cents = 1 dollars

22 cents =

22/100 cents

=$ 0.22

C1 = $0.22 × t

C1 = 0.22t

Second Plan

The second plan charges a monthly fee of $34.95 plus 8 cents per minute.

Converting cents to dollars

100 cents = 1 dollars

8 cents =

8/100 cents

=$ 0.08

C2 = $34.95 + 0.08t

Find the number of talk minutes that would produce the same cost for both plans

We would Equate C1 to C2

C1 = C2

0.22t = $34.95 + 0.08t

Collect like terms

0.22t - 0.08t = $34.95

= 0.14t = $34.95

Divide both sides by 0.14

= t = $34.95/0.14

t = 249.64285714

Therefore, the number of talk minutes that would produce the same cost for both plans is 249.64285714 minutes.

Answer:

Martin ended up buying less grapes by buying the bigger bag.

Step-by-step explanation:

5 ⅔ + 5 ⅔ = 10 4/6

4 ⅕ + 4 ⅕ + 4 ⅕ = 12 3/15

Answer:D

Step-by-step explanation: hope this helps

Answer:

-1/10

Step-by-step explanation:

Answer: m=  −1 /10

Step-by-step explanation:

2 m −5= 3 m +5  

2 m +−5= 3 m +5

Multiply all terms by m and cancel:

2+−5m=3+5m

−5m+2=5m+3(Simplify both sides of the equation)

−5m+2−5m=5m+3−5m(Subtract 5m from both sides)

−10m+2=3

−10m+2−2=3−2(Subtract 2 from both sides)

−10m=1

−10m

−10

=

1  −10

(Divide both sides by -10)

m=  −1  /10

Check answers. (Plug them in to make sure they work.)

m=

−1 /10

(Works in original equation)

m=  −1 /10

Answer:

Step-by-step explanation:

(-1 - 1)/(4 - 3)= -2/1= -2

y - 1 = -2(x - 3)

y - 1 = -2x + 6

y = -2x + 7

Answer:

-2

Step-by-step explanation:

-1 -1

4-3  

-2/1= -2

Answer:

3

Step-by-step explanation:

0.12 ÷ 0.04

if we want to calculate without calculator ,

multiply both nenominator and denominator by 100;

Then,

(0.12×100)÷(0.04 ×100)

= 12÷4

= 3

Answer:

5x+56

Step-by-step explanation:

5x+8(5+2)

5x+8(7)

Answer:

(2/3)x = -11

x = -33/2

Step-by-step explanation:

2/3 of a number is -11.

Let the unknown number be x.

2/3 of x is -11.

(2/3)x = -11

Multiply both sides by 3/2.

(3/2)(2/3)x = (3/2)(-11/1)

x = -33/2

Answer:

It would be B

Step-by-step explanation:

Answer:

|-3| = 3

Step-by-step explanation:

Move the decimal point 2 spots to the right to go from 2.5 to 250%

Another example would be that 0.76 converts to 76%

Answer:

c

Step-by-step explanation:

Answer:

1508.6

Step-by-step explanation:

circumference=2πr

=2×22/7×240

=1508.57

=1508.6

Answer:

The model is made in a 1:40 ratio

Step-by-step explanation:

How many times is 4 multiplied to be equal to 160?

4(x) = 160

X = 160 / 4

X = 40

The proportion, rate, and ratio are almost the same.

They represent the correspondence between the parts and the whole since they all express a binary relationship between the quantities, that is, objects, people, tablespoons.

If the ratio is 1: 2 it could be read that for every 1 there are 2.

For example 1: 2 cups; For every cup of something there are 2 cups of something else.

In this case, 1:40; For every inch of the model, there are 40 feet in the playground.

Hey there! I'm happy to help!

Since this mural is a square, all the sides are the same. This means that you square on of the sides to get the area (multiply it by itself). If we have the area and want to find a side, we just go backwards and use something called the square root!

If we plug this into our calculators...

√138≈11.74734

We see that is closest to B. 12 ft.

You could also figure this out without a calculator. 138 is very close to 144, which is 12². All the other answer options are way too big.

Have a wonderful day! :D

Answer:

3.75

Step-by-step explanation:

Answer: 3.75

Step-by-step explanation: 3/4=.75 so add 3 and you get 3.73