if LN=9x-39, LM=47, and MN=3x+10 find MN

Step-by-step explanation:

This equations are quadratic equations, which is on standard form,

[tex] {ax}^{2} + bx + c[/tex]

where a is the leading coefficient, b is the second coefficient, and c is the constant.

Both a and b are in quadratic equation so we need to find the constant separately.

Both sides are equal to zero so we can just subtract the terms not containing a or b in them to the opposite side.

[tex] {x}^{2} - 4 x + a = 0[/tex]

[tex] {x}^{2} + a = 4x[/tex]

[tex]a = - {x}^{2} + 4x[/tex]

For b,

[tex]2 {x}^{2} - 6x + b + 7 = 0[/tex]

[tex] - 6x + b + 7 = - 2 {x}^{2} [/tex]

[tex]b + 7 = - 2 {x}^{2} + 6x[/tex]

[tex]b = - 2 {x}^{2} + 6x - 7[/tex]

Answer:

14.1421356i

Step-by-step explanation:

hope it helps

Answer:

17/20 , 11/15 , 7/10 , 3/5

Hey there! I'm happy to help!

We want to get all of the variables on the left side and all of the numbers on the right side. This will allow our variable to be isolated so we can see what it is equal to.

1/4x - 1/8 = 7/8 + 1/2x

We add 1/8 to both sides.

1/4x=1+1/2x

We subtract 1/2x from both sides.

-1/4x=1

We divide both sides by -1/4 (same thing as multiplying -4).

B. x=-4

Have a wonderful day and keep on learning! :D

Answer:

x=3-7

x=-4

this was your answer

Answer:

x = -4

Step-by-step explanation:

Use inverse operations to solve the given equation,

x + 7 = 3

(Subtract (7) from both sides,

x + 7 - 7 = 3 - 7

Simplify,

x = -4

Answer:

None of these choices are correct.

Step-by-step explanation:

75 = perimeter

Answer:

C (3,14)

Step-by-step explanation:

y=6x-4

y=7x-7

6x-4=7x-7

-x=-3

x=3

y=6*3-4=14

Answer:

it's 1 pm

you have to count the hours between 9 am and 3 pm = 6 then you divide 6 by 3 = 2 then 2*2= 4

The scale factor that takes the original H-shaped polygon to its smaller copy is 1/4, which is the ratio of the lengths of corresponding sides in the copy and the original.

When a polygon is scaled, each side is multiplied by the same factor to create the corresponding side in the smaller copy. The scale factor is the ratio of the lengths of corresponding sides in the copy and the original.

Let's denote the scale factor as k. In this case, we are given that the smaller copy is a scaled version of the original, so the lengths of corresponding sides in the copy and the original are related by the scale factor:

[tex]Scale\ factor\ \(k = \frac{\text{Length of corresponding side in copy}}{\text{Length of corresponding side in original}}\)[/tex]

Given that the scale factor [tex]\(k = \frac{1}{4}\)[/tex], it means that each side in the smaller copy is one-fourth the length of the corresponding side in the original.

For example, if the original H-shaped polygon has a side of length 5 units, the corresponding side in the smaller copy would be [tex]\(5 \times \frac{1}{4} = 1.25\)[/tex] units.

This process applies to all sides of the original H-shaped polygon, and each side's length is multiplied by the scale factor to get the corresponding side length in the smaller copy.

So, the scale factor that takes the original H-shaped polygon to its smaller copy is indeed 1/4), which represents the ratio of the lengths of corresponding sides in the two polygons.

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Answer:

Btw the result are this: 70% = 0.7500 = 0.78% = 0.08 In Oak Grove

Step-by-step explanation:

The total cost of the mattress is $162 after markdown 70%  and sales tax 8%

Given :

Erik bought a mattress that was marked down 70% from an original price of $500

Original price is 500 dollars

marked down that is discount percentage is 70%

Lets find the discount amount using original price

markdown percentage times original price

[tex]discount = \frac{70}{100} \cdot 500=350[/tex]

cost of mattress after discount is 500-350= 150 dollars

sales tax is 8%

now we find the tax amount for 150 dollars

[tex]tax=150 \cdot \frac{8}{100} \\tax = 12[/tex]

tax is 12 dollars

the total cost of the mattress= cost of mattress +tax

the total cost of the mattress=150+12=162

the total cost of the mattress is $162

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Answer:

-15c

Step-by-step explanation:

I'm sorry for not being able to explain but im sure that ma answer is correct.

Answer:

2) 18

3) x = 17.5, LN = 105

Step-by-step explanation:

2) 6 + 12 = 18

3) 6x = 4x + 8 + 27

2x = 35

x = 17.5

6x = 6(17.5) = 105

Answer:

C

Step-by-step explanation:

193b=212.3

193b/193=212.3/193

(divide by 193 to get the value of b)

193 cancels 193

b= 1.098445596

(round off to one decimal place)

b=1.1

Hope its helps ❤️

Answer:

Its 15

Step-by-step explanation:

a^15 / a^3

= a^15-3

= a^12

Use law of indices.

Answer:

[tex] \sqrt{ - 17 } \\ 20\% \\ 1 \times \frac{1}{2} \\ \sqrt{17} \\ 8[/tex]

Answer:

it means absolute valuen so anything inside becomes a positve.

Step-by-step explanation:

Answer:

t≥-7

Step-by-step explanation:

7−2t≤21

Subtract 7 from each side

7-7−2t≤21-7

−2t≤14

Divide each side by -2, remember to flip the inequality

-2t/-2 ≥14/-2

t≥-7

Answer:

the slope of MN= -5-1/3-(-6)=-2/3

two lines are parallel>> slopes are equal

equation of line = (y-y'=m(x-x'))

therefore, y-1= -2/3(x-6)

y-1 = -2/3x + 4

y+2/3x=5

Answer:

[tex](x - y + 2) \times (x + y - 2)[/tex]

Step-by-step explanation:

[tex] {x}^{2} - {y}^{2} + 4y - 4[/tex]

➡️ [tex] {x}^{2} - ( {y}^{2} - 4y + 4)[/tex]

➡️ [tex] {x}^{2} - (y - 2 {)}^{2} [/tex]

➡️ [tex](x - (y - 2)) \times (x + (y - 2))[/tex]

➡️ [tex](x - y + 2) \times (x + y - 2)[/tex]

Answer:

17/5

Step-by-step explanation:

23=5x+6

23-6=5x

17=5x

X=17/5

The value of x in the line segment TV is 8 units.

A line segment is a subset of a line which has two endpoints.

According to the question a line  segment TV is given which is of 5x + 6 units.

TU is also given which is 23 units.

U is the midpoint of TV this implies that UV is also 23 units.

Now, we know that TV = TU + UV.

5x + 6 = 23 + 23.

5x + 6 = 46.

5x = 46 - 6.

5x = 40.

x = 40/5.

x = 8 units.

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Answer:

Point D

8 3/5 = 40+3= 43

43÷5 = 8,6

........

p = 0

[tex]8 - 4(2p - 2) = 7 + p + 9[/tex]

➡️ [tex]8 - 8p + 8 = 16 + p[/tex]

➡️ [tex]16 - 8p = 16 + p[/tex]

➡️ [tex] - 8p = p[/tex]

➡️ [tex] - 8p - p = 0[/tex]

➡️ [tex] - 9p = 0[/tex]

➡️ [tex]p = 0[/tex]

Answer:

Step-by-step explanation:

d = distance from hive to flowers, in feet

flying time = 23 min - 18 min = 5 min = 300 sec

time flying to flowers = d ft × (1 sec)/(10 ft) = (d/10) sec

time flying to hive = d ft × (1 sec)/(6 ft) = (d/6) sec

d/10 + d/6 = 300 sec

:::::

d/10 + d/6 = 3d/30 +5d/30 = 8d/30 = 300

d = 300×30/8 = 1,125 ft

Answer:

18-27= 01

Step-by-step explanation:

18

-27

---------

01

the one cancels out

This is an absolute value problem. In mathematics, absolute value is simply defined as the distance of a number from zero on the number line, irrespective of the direction on either side of zero.

In the absolute value given which is; |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.

We are given the equation;

|2x + 9| + 7 = 3

Now when dealing with absolute values, it means that the solution is either positive or negative.

For example;

|x| = 5 means that x = +5 or -5

Thus in this question, let us first of all simplify the equation to get;

|2x + 9| = 3 - 7

|2x + 9| = -4

From |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.

Thus, the friend is not correct.

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Answer:

56mm²

Step-by-step explanation:

i will appreciate if u give brainliests, thanks

Answer:

2 feet

Step-by-step explanation:

1 pm = 8ft                  

    2pm = 6ft         The rate of change is 2

    3pm = 4ft

4pm = 2ft