which is a correct method for solving this equation for X

[tex]\huge \mathbb \orange{ANSWER} [/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \mathsf \purple{4 \frac{7}{9} - 2 \frac{1}{2} }[/tex]

[tex] \blue\implies \mathsf \pink{ 2(\frac{43}{9}) - (\frac{5}{2} )9 }[/tex]

[tex] \blue \implies \mathsf \purple{ \frac{86}{18} - \frac{45}{18} }[/tex]

[tex] \blue \implies \mathsf \pink{ \frac{41}{18} = 2 \frac{5}{18} }[/tex]

Topic : Midpoint between points

formula:

[tex]\sf \bold{(x_m, y_m) = (\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})}[/tex]

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

[tex]\hookrightarrow \sf \dfrac{x+(-5)}{2} ,\dfrac{y+2}{2} = (8, -8)[/tex]

separate taking coefficients:

[tex]\rightarrow \sf \dfrac{x-5}{2} =8, \ \dfrac{y+2}{2} = -8[/tex]

[tex]\rightarrow \sf x-5 =16, \ y+2 = -16[/tex]

[tex]\rightarrow \sf x =16+5, \ y= -16-2[/tex]

[tex]\rightarrow \sf x =21, \ y= -18[/tex]

coordinates of door: (21, -18)

Let that be (x,y)

So

[tex]\\ \rm\rightarrowtail (8,-8)=(\dfrac{x-5}{2},\dfrac{y+2}{2})[/tex]

[tex]\\ \rm\rightarrowtail \cfrac{x-5}{2}=8\implies x-5=16\implies x=21[/tex]

[tex]\\ \rm\rightarrowtail \cfrac{y+2}{2}=-8\implies y+2=-16\implies y=-18[/tex]

Answer:

1/27 units cubed or 0.037037... units cubed

Step-by-step explanation:

Volume of a cube = s*s*s : Where s is a side length.

The volume of the first cube is 1 cubed, which means that each side length is 1. (s=1)

The volume of the second cube in relation to the first cube can be found by multiplying each side length by 1/3.

Volume of second cube= (1/3s)(1/3s)(1/3)s

Volume of second cube= (1/3)(1/3)(1/3)

Volume of second cube= 1/27

Step-by-step explanation:

the line equation

y = ax + b

gives us slope (a) and y-interception (b).

4x + 3y = 5

3y = -4x + 5

y = -4/3 × x + 5/3

the slope of the original line is therefore -4/3.

a perpendicular slope flips x and y upside-down and flips the sign.

so, the perpendicular slope of -4/3 is 3/4.

the desired line looks like

y = 3/4 × x + b

b we get by using the given point and its coordinates :

-3 = 3/4 × 3 + b = 9/4 + b

-12/4 = 9/4 + b

b = -21/4

so our full line equation is

y = 3/4 × x - 21/4

or

4y = 3x - 21

-3x + 4y = -21

Answer:26 + 15i

Step-by-step explanation: 26+ 15i is the answer because i did the assignemnt

Step-by-step explanation:

log 3 (10022)

= 8.38561

log n (155)= 8.38561

n^8.38561=155

log 10 (n)= log 10 (155)

lpg 10 (155)= 2.190331698

8.38561 log10 (n)=2.190331698

log10 n = 2.190331698÷8.38561

lo^-1 (0.2612012)

=1.825

n=1.825

Answer:

Rs 2464

Step-by-step explanation:

Given:

To find:

Solution : A/C to given data;

[tex]Length = 2 * Breadth\\L = 2 * B[/tex]---> (1) and [tex]Breadth = 2 * Height\\B = 2 * H[/tex]----> (2)

A/C to given data let, structure of room is cuboidal.

Now, we have to find out the height of the room, so we use formula of volume of the cuboid.

[tex]Volume of the room = L * B * H[from given data, and eq. {1} and eq. {2}][/tex]

[tex]512 = 2B * 2H * H[/tex]

[tex]512 = 2 * 2H * 2H * H[/tex]

[tex]512 = 4H * 2H^{2}[/tex]

[tex]512 = 8H^{3}[/tex]

[tex]H^{3} = \frac{512}{8}[/tex]

[tex]H^{3} = 64[/tex]

[tex]H = \sqrt[3]{64}[/tex]

[tex]H = 4 m[/tex]

[tex]Now, put\\ value\\ of \\H \\in \\eq. {2}[/tex]

[tex]B = 2 * H[/tex]

[tex]B = 2 * 4[/tex]

[tex]B = 8 m[/tex]

[tex]\\[/tex]Now, put value of B in eq. {1}

[tex]L = 2 * B[/tex]

[tex]L = 2 * 8[/tex]

[tex]L = 16 m[/tex]

Now, we have to find out area of the room, so we use formula of total surface area of cuboid.

[tex]Area of the room = 2*L*B + 2*L*H + 2*H*B[/tex]

[tex]Area of the room = 2 * 16 * 8 + 2 * 16 * 4 + 2 * 4 * 8[/tex]

[tex]Area of the room = 32 * 8 + 32 * 4 + 8 * 8[/tex]

[tex]Area of the room = 256 + 128 + 64[/tex]

[tex]Area of the room = 384 + 64[/tex]

[tex]Area of the room = 448 m^{2}[/tex]

Now, to find out room wall plastering cost

[tex]Room wall plastering cost = Area of the room * cost of plastering per ^{2}[/tex]

[tex]Room wall plastering cost = 448 * 5.50[/tex]

[tex]Room wall plastering cost = Rs 2464[/tex]

[tex]ence, the room wall plastering cost is Rs 2464.[/tex]

Answer:

on k12 im pretty sure its 90

Step-by-step explanation:

there is 360 minutes and between the 37 and 41 (this took me a while ) then you should get 90!!!!! hope this helped

Answer:

[tex]\sqrt[3]{x^2}[/tex]

Step-by-step explanation:

The rule of exponents says that we must use subtraction for [tex]\frac{5}{6}[/tex] and [tex]\frac{1}{6}[/tex] since we are dividing.  

Thus, we have [tex]\frac{x^\frac{5}{6} }{x^\frac{1}{6} }\\\\\frac{5}{6}-\frac{1}{6}=x^\frac{4}{6}=x^\frac{2}{3}[/tex]

When dealing with fractions and radicals, we can find the simplest radical form by using the saying [tex]\frac{exponent}{index}[/tex]

Thus we have [tex]\sqrt[3]{x^2}[/tex]

Answer:

Answer:

The list od prime number is a quadratic sequence, each time going up by n + 2. for example, 1, 4, 9, 16, 25. they are going up by 3, then + 2 and add 2 every step. The sequence is always going up by an odd number. a negative number take away a negative number always gives you a positive number, likewise, adding does too. Therefore, you can not get both of them to fit into the sequence of increasing odd numbers.

Answer:

The process of photosynthesis is commonly written as: 6CO2 + 6H2O → C6H12O6 + 6O2.

Step-by-step explanation:

The probability that the spinner will land on orange is the likelihhood of landing on orange

The probability that the spinner will land on orange is 0.75

From the question, we have:

Spinner section = 16

Orange section = 12

So, the probability that the spinner will land on orange is:

p = 12/16

Evaluate

p = 0.75

Hence, the probability that the spinner will land on orange is 0.75

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Answer:

4/8=2

-91/2=-45.5

by eliminate 4 by dividing by 8

Answer:

I think so Last 3 figured are the correct answer

Answer:

No Solution

Step-by-step explanation:

-y = -2x + 8

y = 2x - 8

2x + 8 = 2x - 8

2x - 2x = -8 - 8

0 = -16

No Solution

You can also graph y = 2x + 8 and y = 2x - 8. The slope are the same and so they are parallel

Step-by-step explanation:

Slope m=4

Y intercept b=(-5)

formula f(x)=4x-5

If u need how to solve do let me know

Answer:

13.979

Step-by-step explanation:

log 625^5   =  5  log 625  = 5*2.79588=

Answer:

Exact Form:

1/4

Decimal Form:

0.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

As ABCD is a rectangle, ∠A = 90°.

Diagonal BD will be the hypotenuse.

[tex]Sin \ 53^{ \circ} = \sf \dfrac{opposite \ of \ angle \ 53}{hypotenuse}\\\\\\0.7986=\dfrac{AB}{42.3}\\\\\\0.7986*42.3=AB\\\\\bold{AB = 33.8}[/tex]

Length = AB = 33.8 cm

[tex]\sf Cos \ 53^{ \circ} =\dfrac{adjacent \ side \ to \ angle \ 53}{hypotenuse}\\\\\\0.6018 = \dfrac{AD}{42.3}\\\\\\0.6018*42.3 =AD\\\\\bold{AD = 25.5 }[/tex]

Width = 25.5 cm

The x-intercepts of the quadratic equation are given by x = -2 and x = 30.

A quadratic equation is modeled by:

y = ax² + bx + c.

The x-intercepts are the values of x when y = 0, given by:

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex]

[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]

In which:

[tex]\Delta = b^2 - 4ac[/tex]

In this problem, the equation is:

y = 60 + 28x - x².

Hence the coefficients are a = -1, b = 28, c = 60.

Then:

[tex]\Delta = 28^2 - 4(-1)(60) = 1024[/tex]

[tex]x_1 = \frac{-28 + \sqrt{1028}}{-2} = -2[/tex]

[tex]x_2 = \frac{-28 - \sqrt{1028}}{-2} = 30[/tex]

The x-intercepts of the quadratic equation are given by x = -2 and x = 30.

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Using the binomial distribution, it is found that there is a:

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

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

The parameters are:

In this problem, we have that:

The probability that exactly 2 out of 8 randomly selected ­Americans own a cat is P(X = 2), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{8,2}.(0.3)^{2}.(0.7)^{6} = 0.2965[/tex]

0.2965 = 29.65% probability that exactly 2 out of 8 randomly selected ­Americans own a cat.

The probability that more than 3 own a cat is given by:

[tex]P(X > 3) = 1 - P(X \leq 2)[/tex]

In which:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

Hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.3)^{0}.(0.7)^{8} = 0.0576[/tex]

[tex]P(X = 1) = C_{8,1}.(0.3)^{1}.(0.7)^{7} = 0.1977[/tex]

[tex]P(X = 2) = C_{8,2}.(0.3)^{2}.(0.7)^{6} = 0.2965[/tex]

Then:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0576 + 0.1977 + 0.2965 = 0.5518[/tex]

[tex]P(X > 3) = 1 - P(X \leq 2) = 1 - 0.5518 = 0.4482[/tex]

0.4482 = 44.82% probability that more than 3 own a cat.

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Answer:

22

Step-by-step explanation:

You add the to numbers together and the answer will be 22

I hope it helps! Have a great day!

Muffin ^^

Answer:

cUse the following equation

Step-by-step explanation:

Because of the way these angles are positioned, they must be equal to 180 together

(2x + 5) + (0.5x + 150) = 180

2.5x + 155 = 180

- 155 - 155

2.5x = 25

2.5x/2.5 = 25/2.5

x = 10

Put x into the original equations and solve

Step-by-step explanation:

let, the tulips be 'x'

According to the question,

heather=4x

& sarah=x

but heather planted 64 so,

4x=64

or, x=64/4

x=16

hence, sarah planted 16 tulips

Heather planted 4x Sarah's tulips. On the off chance that Heather has 64 tulips, Sarah has 16 tulips (64/4 = 16).

Let's utilize algebra to illuminate this issue. Let s speak to the number of tulips Sarah planted.

Concurring to the data given, Heather planted 4 times as numerous tulips as Sarah, so we will compose this as:

Heather's tulips = 4 * Sarah's tulips

64 = 4s

Presently, ready to fathom for s:

s = 64 / 4

s = 16

Sarah planted 16 tulips.

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Answer:

7 units

Step-by-step explanation:

Since the two points have the same y-coordinate of -5, the distance between them is due to the difference of their x-coordinates.

Distance

= 4-(-3)

= 4 +3

= 7 units

Note:

Should the two points have different x and y coordinates, you may use the distance formula below.

[tex]\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

Answer:

D. Mr. Anderson can travel 99.28 miles.

Step-by-step explanation:

If Mr. Anderson has 4 gallons and each gallon moves him 24.82 miles you can multiply the number of miles per gallon by the gallon resulting in an equation that looks like 4*24.82=99.28.

Based on the times that the machine produces cookies that have the optimal amount of chips, the proportion produced daily with the optimal number of chips is 62.5% or 0.625.

This can be found by the formula:

= (Hours that optimal cookies are produced) / Hours that the machine runs per day

5:30 am is the same as 5.5 hours because 30 minutes is half an hour.

1:30 pm is also the same as 13.5 hours by the above rule and in 24 hour notation.

Proportion of optimal cookies is therefore:

= (11 am - 6am) / (13.5 - 5.5)

= 5 / 8

= 0.625

= 62.5%

Find out more on optimal production at https://brainly.com/question/6348653.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]

Standard equation of circle ~

[tex]\qquad \sf  \dashrightarrow \:(x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]

where,

Now, let's plug in the values ~

[tex]\qquad \sf  \dashrightarrow \:(x - (5)) {}^{2} + (y - ( - 8)) {}^{2} = {2}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:(x + 5) {}^{2} + (y + 8) {}^{2} = {4}^{} [/tex]

Therefore, the correct choice is B

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

The equation of the circle with a center of (4,5) and a radius of 2 units is (x + 5)² +(y + 8)² = 4

The center of the circle is given as:

Center (a,b) = (-5, -8)

The radius is given as:

Radius, r = 2

The equation of the circle is calculated using:

(x - a)² + (y - b)² = r²

Substitute values for r and (a,b)

(x + 5)² +(y + 8)² = 2²

Evaluate the square of 2

(x + 5)² +(y + 8)² = 4

Hence, the equation of the circle is (x + 5)² +(y + 8)² = 4

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