Please Help!10.<ADC and <FDA are a linear pair. What is the reason?​

Answer:

[tex]\sf y=\dfrac{3}{7}x+\dfrac{51}{7}[/tex]

Step-by-step explanation:

Given equation: -3x + 7y = 21

Slope-Intercept Form: y = mx + b -

where:

Note: parallel lines have the same slope.

1. Rewrite the given equation in slope-intercept form:

[tex]\sf -3x + 7y = 21\ \textsf{[add 3x to both sides]}\\\\-3x + 3x + 7y = 21 + 3x\\\\7y = 3x + 21\ \textsf{[divide both sides by 7]}\\\\\dfrac{7y}{7}=\dfrac{3x+21}{7}\\\\\implies y=\dfrac{3}{7}x+3[/tex]

Here, this equation has a slope of ³⁄₇ and a y-intercept of 3.

2. Find the equation of the parallel line:

substitute the point (4, 9) into the equation to find the value of b

[tex]\sf y=\dfrac{3}{7}x+b\\\\9=\dfrac{3}{7}(4)+b\\\\9=\dfrac{12}{7}+b\\\\\dfrac{63}{7}-\dfrac{12}{7}=\dfrac{12}{7}-\dfrac{12}{7}+b\\\\\dfrac{51}{7}=b[/tex]

[tex]\sf \textsf{Equation:}\ y=\dfrac{3}{7}x+\dfrac{51}{7}[/tex]

3. Check your work:

[tex]\sf y=\dfrac{3}{7}x+\dfrac{51}{7}\\\\9=\dfrac{3}{7}(4)+\dfrac{51}{7}\\\\9=\dfrac{12}{7}+\dfrac{51}{7}\\\\9=\dfrac{63}{7}\\\\9=9\ \checkmark[/tex]

[tex]\sf \textsf{Therefore, the equation of the parallel line is:}\ y=\dfrac{3}{7}x+\dfrac{51}{7}[/tex]

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Answer:

[tex]\sf y=\dfrac{3}{7} x+\dfrac{51}{7}[/tex]

Step-by-step explanation:

First, write the given equation in slope-intercept form. That is, you can make y the subject in the given equation.

Slope intercept form

y = mx + c

Here,

m = slope

c = y-intercept

Let us write the given equation in slope-intercept form.

− 3x + 7y = 21

Add 3x to both sides.

7y = 3x + 21

Divide both sides by 7.

[tex]\sf y=\dfrac{3}{7}x +\dfrac{21}{7} \\\\y=\dfrac{3}{7}x +3[/tex]

We know that the slopes of parallel lines are equal. Therefore, the slope(m) of the new line is 3/7.

The new line is going through ( 4, 9 ). Using that, let us find the value of c (y-intercept), by substituting the values of m, y, and x.

( 4, 9 ) → ( x , y )

m → 3/7

Let us find the value of c

[tex]\sf y = mx+c\\\\9 =\dfrac{3}{7}*4+c\\\\ 9=\dfrac{12}{7}+c\\\\ 9-\dfrac{12}{7}=c\\\\\dfrac{63-12}{7} =c\\\\\dfrac{51}{7} =c[/tex]

And now let us write the equation of the new line.

[tex]\sf y =mx+c\\\\\sf y=\dfrac{3}{7} x+\dfrac{51}{7}[/tex]

The number of ways different the sequences of adenine, thymine, cytosine and guanine can be arranged along a short strand of DNA with 5 base units is 120

Permutation is the number of ways of arrangement for a given set.

The formula for a permutation is given as P(n, r) = n! / (n-r)!

Where n = items chosen from = 5

r is the number of items = 4

Substitute values into the formula

P(5, 4) = [tex]\frac{5!}{5-4!}[/tex]

P(5,4) = [tex]\frac{5 * 4* 3*2*1}{1}[/tex]

P(5,4) = [tex]\frac{120}{1}[/tex]

P(5,4) = 120

Therefore, the number of ways different the sequences of adenine, thymine, cytosine and guanine can be arranged along a short strand of DNA with 5 base units is 120

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Answer:

The answer is actually 120.

Step-by-step explanation:

I have the keysheet to the questions.

Answer:

132

Step-by-step explanation:

180-48=132

Answer: 132

Step-by-step explanation:

let x = unknown amount

48 + x = 180

————————————————————————

Solve for x by subtracting 48 from both sides

48 - 48 + x = 180 - 48

x = 132

[tex]\text{L.H.S}\\\\=\dfrac{\cos A}{1-\sin A} + \dfrac{\sin A}{1-\cos A} +1\\\\\\=\dfrac{\cos A(1-\cos A) + \sin A(1-\sin A) + (1-\sin A)(1 - \cos A)}{(1-\sin A)(1 -\cos A)}\\\\\\=\dfrac{\cos A - \cos^2 A + \sin A - \sin^2 A + 1 - \cos A - \sin A + \sin A \cos A}{(1 -\sin A)(1 - \cos A)}\\\\\\=\dfrac{-(\sin^2 A + \cos^2A) +1 + \sin A \cos A}{(1 - \sin A)(1 - \cos A)}\\\\\\=\dfrac{-1 + 1 + \sin A \cos A }{(1 - \sin A)((1 - \cos A)}\\\\\\=\dfrac{0+ \sin A \cos A}{(1 - \sin A)(1 - \cos A)}\\[/tex]

[tex]=\dfrac{\sin A \cos A}{(1 - \sin A)(1 - \cos A)}\\\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

Answer:

y=-x-7

Step-by-step explanation:

Slope-intercept form is y=mx+b

We have the equation 4x+4y=-28 and must put it into the form above. To do this first subtract 4x from both sides.

4x-4x+4y=-28-4x

This equals 4y=-4x-28. Now, divide 4 from both sides.

4y/4=-4x/4-28/4

y=-x-7

Hope this helps!

If not, I am sorry.

Answer:

-2x - 1 = 3^(-x); 2^(-x) + 2 = -5^x + 3

Step-by-step explanation:

for this question you are choosing the lines that do not touch

the graphs for the second third and fourth ones all touch

but

the first and last one do not

therefore those are the ones with no solution

Answer:

Graph 1 and Graph 5

Step-by-step explanation:

As the first and final graphs do not intersect at any points on their graphs, they have no solution.

Answer:

Answer for linear equation: y=4x+500 and Avg score for persons taking 43-hour review course is 672

Answer:

An Arc is a part of a circle that represents an angle.

Step-by-step explanation:

please mark me as brainlest

Answer:

3x-2y=13

Step-by-step explanation:

Answer:

its D. 2 and 3

Step-by-step explanation: supplementary angles are angles that add up to 180 (or that make a straight line) the angle pairs that make a straight line are 1 and 2, 2 and 3, 3 and 4, and 4 and 1.
So D would be correct

There are 16807 number of ways the passengers to be assigned a floor and there are 2520 number of ways the passengers to be assigned a floor but no two passengers are on the same floor.

Given that an elevator starts with five passengers and stops at the seven floors of a building.

From the given information, the total number of floors n=7.

The number of passengers r = 5.

(a) Compute the number of ways that 5 passengers can be assigned to seven floors.

Here, repetition is allowed.

From the known information, if r numbers are selected from n number of observations then the total number of observations that can be drawn from n number of observations is [tex]n^r[/tex].

If 5 passengers can be assigned to seven floors is 7⁵ = 16807.

(b) Compute the number of ways that the passengers to be assigned a floor but no two passengers are on the same floor.

Here, repetition is not allowed.

If 5 passengers can be assigned to seven floors but no two passengers are on the same floor is 7x6x5x4x3 = 2520.

Hence, the number of ways that 5 passengers can be assigned to seven floors is 16807, and the number of ways that the passengers to be assigned a floor but no two passengers are on the same floor is 2520.

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The solution to the inequality 5x - y > -3 is shown in the graph.

An equation is an expression that shows the relationship between two or more numbers and variables.

An inequality shows the non equal comparison of two or more variables and numbers.

The solution to the inequality 5x - y > -3 is shown in the graph.

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Answer:

I hope it helps .in case you don't understand any part ,feel free to ask.

Answer:

I'm pretty sure it is d... .......

Answer:

156 cm²

Explanation:

This figure is a trapezium.

Formula of Area of Trapezium = 1/2 × (a + b)  × height

Here given:

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

Area of trapezium: 1/2  × (9 + 30)  × 8 = 156 cm²

Answer:

area of the trapezium is 156

Step-by-step explanation:

Answer: (2,5)

Step-by-step explanation: Step 1: Identify key concepts for Part A

y=7x-9

Slope: 7

y int.  :  -9

y=3x-1

Slope: 3

y int.  :  -1

Since you know this information, you can plot the points and graph it.

Part B

To solve a system of equations, you need to identify the point whereby the two graphs intersect, and since you're solving it graphically, just find the point of intersection. You should get an answer of: (2,5)

(x=2) and (y=5)

Answer:

15 (second option listed)

y = 15

x = 30

Step-by-step explanation:

setting up this statement algebraically:

[where x = one of our numbers, y = other number]

x + y = 48

x = (2y + 3)

x = 2y + 3

plug x [now in terms of y] into the original equation

(2y + 3) + y = 48

3y  + 3 = 48

  - 3        - 3

3 y = 45

÷3       ÷3

y = 15

from this value, we can plug it back into the y-value of the original equation to find our x-value

x + y = 48

x + 15 = 48

  - 15    - 15

x = 33

{to check: 33 is 2y + 3}

we know that y = 15 (smaller number) and that x = 33 (larger number)

so, the solution to the question of which is the smaller number is 15

Answer:

If you attach the answers i can help you better

Step-by-step explanation:

Answer:

the largest is 014 because I did it and the teacher said it is correct

Step-by-step explanation:

teacher checked work

Answer:

£11.50

Step-by-step explanation:

7litres of petrol cos t £3.50. The cost of 1 liter will be:

= £3.50/7

= £0.50

The cost of 23 litres of petrol of the same grade will be:

= £0.50 × 23

= £11.50

Answer:

i don't know

Step-by-step explanation:

i don' know

The partial pressure of the Ne in the mixture is 0.29 atm if the as mixture has a total pressure of 0.56 atm and consists of He and Ne.

Dalton's law states that the total partial pressures of all the gases in a mixture of non-reacting gases at a constant temperature equal the pressure the mixture exerts.

We have:

A gas mixture has a total pressure of 0.56 atm and consists of He and Ne. If the partial pressure of the He in the mixture os 0.27 atm.

According to Dalton's law

Total pressure = partial pressure of He + Partial pressure of Ne

0.56 = 0.27 + P(Ne)

P(Ne) = 0.29 atm

Thus, the partial pressure of the Ne in the mixture is 0.29 atm if the as mixture has a total pressure of 0.56 atm and consists of He and Ne.

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Answer:

(x-7)(x+6)

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

180 minus 110 is 70

straight lines are 180 degrees

Answer:

Like terms are mathematical terms that contain the same variables. We combine like terms, because it simplifies algebraic expressions.

Closure property is the term for when you add or multiply two whole numbers together, and the result is always just a whole number. It is related to adding, subtracting, and multiplying polynomials, because when something is closed, the output will result in being the same type of object as the inputs.

Step-by-step explanation:

Like terms: When combining like terms, we add their coefficients. For instance, if we have 3y and 4y, we get 7y. That is because we added (3+4) to get 7, and plugged in the variable "y".

Closure property: Adding, subtracting, or multiplying two polynomials will output a polynomial.

Answer:

A resposta certa é:

[tex]6x \\x^3 - 5x^2 + 1 \\3 \\x^3 + 3x^2 + 7x \\-x^3 - 4x[/tex]

Step-by-step explanation:

1° equação:

Como há um x² positivo e um negativo, ambos irão se anular, sobrando apenas as incógnitas de potência 1 (ou, 6x)

2° equação:

Esta resulta em uma equação de 3° grau incompleta, já que há uma incógnita de potência 3, uma de potência 2, não há uma incógnita de potência 1 mas há as constantes, que as unindo forma a constante 1.

3° equação:

As incógnitas presentes há uma negativa e uma positiva de mesma potência, anulando-as e sobrando apenas a constante 3.

4° equação:

Considerando que há um 4x² e um -x² na equação, unindo-os forma o 3x², após isso é só repetir a equação.

5° equação:

Há -10x (-6x -4x = -10x) e 6x, resultando em um -4x, e então é só repetir a equação

Nota: I'm Brazilian, so I found it more practical to write the entire explanation in Portuguese, so if you can't understand, I ask you to use the translator, thanks for understanding :)

Answer:

Step-by-step explanation:

Comment

The shape consists of a rectangle on the bottom and a trapezoid on the top.

Rectangle

A rectangle has a very simple Area formula. It is Area = L*W. In this case the L = 14 m and is horizontal. The width is at right angles to the length and is marked as 3.

Area = L * w

L = 14

w = 3

Area = 14 * 3 =                            42 m^2

Trapezoid

The trapezoid is a bit more complicated and some things have to be found. First of all b1 is the first base of the trapezoid. It is parallel to and equal to  the Length of the rectangle. b2 is marked 10 meters. The height is just a bit more complicated. The total height of the figure is 8 m. You can't count the 3 m of the rectangle as part of the height because b1 comes only to the top of the rectangle. The height is 8 - 3 = 5

Area = 1/2(b1 + b2)*h/2

b1 = 14

b2 = 10

h = 8 - 3 = 5

Area = 1/2 ( 14 + 10) * 5 / 2

Area = 1/2 (24)*5

Area = 12 * 5

Area =                                          60 m^2

Total Area                                  102 m^2

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right. So the correct answer is option B.

inequality the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

We can start by dividing the inequality by 3 to get ...

 8 -4x < 2(x -5)

And we can divide by 2 to simplify further to ...

 4 -2x < x -5

Now, we can add 2x+5, which gives ...

 9 < 3x

and then divide by 3 again:

 3 < x

Therefore number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right. So the correct answer is option B.

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The probability of the 90th percentile given a mean of 262 and a standard deviation of 45 is 319.672

Here,

The formula for the percentile probability is

[tex]P=\mu+z\sigma[/tex]

P=262 + 1.2816(45)

P = 319.672

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