PLEASE HELP ME ASAP

Solve for x in the diagram below

Answer:-3

Step-by-step explanation:

The minimum value of a function can be obtained from its derivative

The point on the x-axis that makes [tex]\overline{AC}[/tex] + [tex]\overline{BC}[/tex] minimum is the point [tex]\underline{(9, \, 0)}[/tex]

Reason:

Let (d, 0) represent the coordinate of the point, on the x-axis, we have;

[tex]\overline{AC}[/tex]² = (4 - d)² + (-5)²

[tex]\overline{AC}[/tex] = √((4 - d)² + (-5)²)

[tex]\overline{BC}[/tex]² = (12 - d)² + 3²

[tex]\overline{BC}[/tex] = √((12 - d)² + 3²)

[tex]\overline{AC}[/tex]² + [tex]\overline{BC}[/tex]² = L =  4² + (-5 - d)² + 12² + (3 - d)²

When [tex]\overline{AC}[/tex] + [tex]\overline{BC}[/tex] is minimum, we have;

[tex]\lim_{n \to \infty} a_n \dfrac{d}{dd} (\overline{AC} + \overline{BC}) = \dfrac{d}{dd} \left(\sqrt{ (4 - d)^2 + (-5)^2)} + \sqrt{ (12 - d)^2 + 3 ^2)} \right) = 0[/tex]

Which gives;

[tex]\dfrac{d}{dd} \left(\sqrt{ (4 - d)^2 + (-5)^2)} + \sqrt{ (12 - d)^2 + 3 ^2)} \right) = \dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } + \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8\cdot d + 41} }[/tex]

Therefore;

[tex]\dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } + \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8 \cdot d + 41} } = 0[/tex]

[tex]\dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } =- \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8 \cdot d + 41} }[/tex]

Squaring both sides and cross multiplying gives;

16·d² - 528·d + 3456 = 0

Which gives;

16·(d - 24)·(d - 9) = 0

Therefore, d = 24, and d = 9

The point (9, 0), is closer to the given points than the point (24, 0), therefore;

The point on the x-axis that makes [tex]\overline{AC}[/tex] + [tex]\overline{BC}[/tex] minimum is the point [tex]\underline{(9, \, 0)}[/tex]

Learn more here:

https://brainly.com/question/17117378

Answer:

(8, 0), (12, 4), (16, 8)

Step-by-step explanation:

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]  

(20, 12)

(4, - 4)

m = [tex]\frac{-4-12}{4-20}[/tex] = 1

y - 12 = (1)(x - 20)

y = x - 8

y = 8 - 8 = 0

y = 12 - 8 = 4

y = 16 - 8 = 8

Answer:

-r ^3

Step-by-step explanation:

Answer:

2.49 or 2.50

Step-by-step explanation:

Answer:

= 52.4475 rounded to nearest cent = 52.44

Step-by-step explanation:

Plz mark brainliest!!!

Answer:

Adult= 150 and Children=136

Step-by-step explanation:

Answer:

594.78

Step-by-step explanation:

600-5.22 = 594.78

Answer:The answer should be 626.4

Step-by-step explanation:

Answer:

$64.00

Step-by-step explanation:

Company A:

C = 3.25x

3.25 x 80 = 260

Company B:

C = 2.45x

2.45 x 80 = 196

How much more?

260 - 196 = 64

Difference in Total price for 80 unit is $84

Per spirit cost in company A = 3.5 per spirit

Cost equation for company B = C = 2.45x

Difference in Total price for 80 unit

Difference in Total price for 80 unit = 80[3.5 - 2.45]

Difference in Total price for 80 unit = 80[1.05]

Difference in Total price for 80 unit = $84

https://brainly.com/question/6364615?referrer=searchResults

Using the permutations formula, it is found that: 11,232,000 different license plates are possible

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

The order in which the letters and the numbers appear is important(123ABC is a different plate than A123BC), which means that the permutations formula is used to solve this question.

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

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

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

In this question:

Thus:

[tex]T = P_{26,3}P_{10,3} = \frac{26!}{23!}\times\frac{10!}{7!} = 11,232,000[/tex]

11,232,000 different license plates are possible

A similar problem is given at https://brainly.com/question/16812463

Answer: If it has a negative sign then drag it to one that doesn't have one and vice-versa

Step-by-step explanation:

so 0.005 would be -0.005

Answer:

the opposite of 0.005 is -0.005

the opposite of 1/2 is -1/2

the opposite of 0 is 0

the opposite of -2 is 2

Step-by-step explanation:

Answer: The kites are  at the same height at 15.41s

Step-by-step explanation:

Step 1

Let t represent the time in seconds.

The equation that represents when both small and large kite are at the same height is given as

3.7 + 6.2t =20.65 +5.1t

Step 2----- Solving

3.7 + 6.2t =20.65 +5.1t

Taking like terms  and subtracting

6.2t-5.1t  = 20.65- 3.7

1.1t =16.95

t = 16.95/1.1

t=15.41s

The kites are  at the same height at 15.41s

Answer:

The measure of the vertex angle is 100°

Step-by-step explanation:

In Δ MNO

∵ Δ MNO is an isosceles triangle with base MO

∴ NM = NO

→ In an isosceles triangle, the base angles are equal in measures

∵ ∠M and ∠O are the base angles isosceles ΔMNO

∴ m∠M = m∠O

∵ m∠M = (3x + 10)°

∵ m∠O = (5x - 10)°

→ Equate their measures

∴ 5x - 10 = 3x + 10

→ Add 10 to both sides

∵ 5x - 10 + 10 = 3x + 10 + 10

∴ 5x = 3x + 20

→ Subtract 3x from both sides

∴ 5x - 3x = 3x - 3x + 20

∴ 2x = 20

→ Divide both sides by 2 to find x

∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{20}{2}[/tex]

∴ x = 10

→ Substitute the value of x in the measures of ∠M and ∠O to find them

∵ m∠M = 3(10) + 10 = 30 + 10

∴ m∠M = 40°

∵ m∠O = 5(10) - 10 = 50 - 10

∴ m∠O = 40°

→ The sum of the measures of the interior angles of a Δ is 180°

∵ m∠M + m∠O + m∠N = 180°

∵ 40 + 40 + m∠N = 180

→ Add the like terms

∴ 80 + m∠N = 180

→ Subtract 80 from both sides

∴ 80 - 80 + m∠N = 180 - 80

∴ m∠N = 100°

∵ ∠N is the vertex angle of Δ MNO

∴ The measure of the vertex angle is 100°

Answer:

33

Step-by-step explanation:

Answer:

it is 33 because you start off at 0 with 33

Step-by-step explanation:

Answer:

40in^2

Step-by-step explanation:

The interest is %2 of 520 which, if you do the math, is 10.4 cents. You want to find out how much interest it is for 6 years so you have to multiply them.

10.4 x 6 = 62.4

The total interest for 6 years is $62.4

your welcome

Answer:

Step-by-step explanation:

Rewrite  

9

x

2

as  

(

3

x

)

2

.

(

3

x

)

2

−

16

Rewrite  

16

as  

4

2

.

(

3

x

)

2

−

4

2

Since both terms are perfect squares, factor using the difference of squares formula,  

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

where  

a

=

3

x

and  

b

=

4

.

(

3

x

+

4

)

(

3

x

−

4

)

Answer:

the answer is 40.26, you first subtract 2 to get 41.01 then subtract .75 to get 40.26, not exactly sure what work you want to be shown

Step-by-step explanation:

Answer:

it the first one cause you adding so it 8b plus 2

Step-by-step explanation:

if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)

if leg b is unknown, then. b = √(c² - a²)

for hypotenuse c missing, the formula is. c = √(a² + b²)

Answer:

[tex] \sin(60) = \frac{45}{x} \\ [/tex]

[tex] x = \frac{45}{ \sin(60) } [/tex]

x=5 1.96

Step-by-step explanation:

[tex] \tan(30) = \frac{y}{45} [/tex]

[tex]y = 45 \tan(30) [/tex]

y=25.98

Answer:

A is two; B is nine; C is one

Good Luck!

a) C has to be either one or zero (but I'm assuming the solution you're wanting is when C=1). This is because A+B + Whatever is carried can only be a number 0-19, meaning only a 1 can be carried to the third column.

b) if C is 1, then in the ones place, B+A must = 11

c) if the carried 1 + a + b = 10 + a, then a can be substituted and we find that b = 9; and a =2

Answer:

1

Step-by-step explanation:

it is right ok stop now

Answer:

angel F

Step-by-step explanation:

Answer: I wish I can help, but I don't know how to explain it

Answer:

y = -5/3 * x - 40/3

Step-by-step explanation:

A perpendicular line has an opposite and a reciprocal of the slope.

Your equation should be:

-5y = -3x +6

Divide all parts by -5.

y = 3/5x - 6/5

Since the perpendicular line has an opposite and a reciprocal of the slope, the slope will be -5/3.

Now you must make an equation in point-slope form. This is an example of that form. You will need at least one point to make this equation work. In this case we have (-8,0).

In put the y and x coordinates like this:

y - 0 = -5/3(x - (-8)

Start solving the equation.

y - 0 = -5/3(x + 8)

y - 0 = -5/3 * x - 40/3

y = -5/3 * x - 40/3

This is your equation.

y = -5/3 * x - 40/3

(You can make it -5/3x in your answer but it looks weird online. You may think that it is -5 divided by 3 times x, but it actually is 5/3 times x. That's why I wrote it as y = -5/3 * x - 40/3)

9514 1404 393

Answer:

  5x +3y = -40

Step-by-step explanation:

When the equation of a line is given in standard form, the equation of the perpendicular line can be found by swapping the coefficients of x and y, and negating one of them.

Here, that means the equation ...

  3x -5y = constant

becomes

  5x +3y = new constant

The value of the new constant is found by putting the given point coordinates in the expression on the left:

  5x +3y = 5(-8) +3(0) = -40

The equation of the perpendicular line is ...

  5x +3y = -40

Answer:

=29

Step-by-step explanation:

2f(b)=28

divide by 2

f(b)=14

f(b)=3b-1

3b-1=14

add 1 on both sides

3b=15

divide by 3

b=5

f(5)=14

let's plug that in

f(2×5)=3(2×5)-1

f(10)=30-1

f(10)=29

The value of f(2b) is 29 if f(x) = 3x - 1 and 2f(b) = 28 the answer is 29.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

f(x) = 3x - 1 and 2f(b) = 28

Plug x = b

f(b) = 3b - 1

2f(b) =2(3b - 1)

2f(b) = 28

28 = 2(3b - 1)

b = 5

f(2b) = f(2(5)) = f(10)

f(10) = 3(10) - 1

f(10) = 30 - 1 = 29

Thus, the value of f(2b) is 29 if f(x) = 3x - 1 and 2f(b) = 28 the answer is 29.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Answer:

The graph of a quadratic function is a curve called a parabola which makes a quadratic function unique.

Step-by-step explanation:

Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape which makes it easy to identify.

Hope it helps.

Answer:

Step-by-step explanation:

Maybe that can be solve in so

-maybe diferent ways like graphicly, quadratic equation, factoring, form a perfect square...

-maybe because it has real, imaginary roots, or equal roots

Answer:

iba nalang

Step-by-step explanation:

just tell someting wag yan

1. -

2. ×

3.÷

i guess these r the answers

Answer:

Part A: The higher the temp the more ice cream sold.

Part B

Step-by-step explanation:

Hi there! Hope this helps.

Answer:

Look below.

Step-by-step explanation:

I didn't know if you wanted the answer or just an explanation, so I'll give you an explanation for now.

Look at all of the tables and find the one with the smallest, 2nd smallest, and 3rd smallest numbers and keep going up until you get to the biggest number.