Solve the system of equations.

y = 7x + 43 y = 2x + 13

a. (-6, 1)
b. (6, -1)
c. (6, 1)
d. No solution

Please select the best answer from the choices provided ​

Answer:

x=2y

Step-by-step explanation:

If you look at the x values, they are double y values.

For example, when y=1 x=2

When y=2 x=4

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Answer: the answr is b because its divisble

Step-by-step explanation:

Answer:

1440 miles

Step-by-step explanation:

360 miles = 2 hours

360/2=180 miles = 1 hours

8 hours = 180*80=1440 miles

An airplane that travels 360 miles in 2 hours can travel 1440 miles in 8 hours.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, An airplane travels 360 miles in 2 hours.

So, In one hour the airplane can travel (360/2) = 180 miles.

∴ In 8 hours the airplane can travel (8×180) miles = 1440 miles.

learn more about the unitary method here :

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Answer: Sin θ =

Step-by-step explanation:

In the figure attached, ABC is a right angle triangle.

Sides of this triangle are AB = 12 BC = 5 and CA = 13

Angle opposite to the side having length = 12 is θ.

Now we have to calculate sin θ.

Since Sinθ =

=

Therefore, ratio which represents sinθ will be

Step-by-step explanation:

Answer:

= 3(j+2)

Step-by-step explanation:

Answer:

definitely watch a video!

Step-by-step explanation:

Answer:

A. ∠B = 55°; ∠D = 55°

Step-by-step explanation:

Hope this helps :)

The measures of angles B and D are option (a) ∠B = 55°; ∠D = 55°

A parallelogram is a shape whose opposite sides are parallel and congruent.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

Given; Angle B is (2 n + 15) degrees and angle D is (3 n minus 5) degrees.

The following is the step to determine the measures of angles B and D

We have,

angle B = 2n + 15

angle D = 3n - 5

The angles are opposite angles;

So,

angle B = angle D

This gives us;

2n + 15 = 3n - 5

Now Collect like terms;

3n - 2n = 15 + 5

n = 20

Then Substitute 20 for n in angle B = 2n + 15

angle B = 2 * 20 + 15

angle B = 55

Hence, the measures of angles B and D are option(a) ∠B = 55°; ∠D = 55°

Read more about parallelograms at:

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Answer:

The cental angle = 135º

Step-by-step explanation:

(6x+7)+(13+4x)+80= 180

x=8

Answer:

I think is the 10

i hope this hepl you

Answer:

A: -10

Step-by-step explanation:

Answer:

A. Her salary is one dollar more than twice John’s salary. Answer: 3) 2J = H + 1

B. John’s salary is twice hers plus $1. Answer: 4) J = 2H + 1

C. Twice John’s salary is the same as her salary plus one. Answer: 2) H = 2J + 1

D. Twice her salary is the same as John’s salary plus $1. Answer: 1) 2H = J + 1

Step-by-step explanation: hope this help

Answer:

x=-4

Step-by-step explanation:

-2x=5+3

-2x=8

x=-4

hope this helps!

Answer:

100°

Step-by-step explanation:

I'm sorry, I don't quite remember the name of the four sided shape when it fits into a circle but when it does, the opposite angles are equal to 180° therefore we say 180° - 80° and get 100° for the opposite angle which is U

Answer:

36

Step-by-step explanation:

The numbers on the bottom are always equal to 1.5 times the number on top.

3 x 1.5 = 4.5, 10 x 1.5 = 15, and so on. 24 x 1.5 = 36, so the missing number is 36.

Answer:

7

Step-by-step explanation:

Answer:

x is greater that 8

Step-by-step explanation:

this is because if the quotient of 2 and x has to be greater that 4 then 2 divided by 8 (8 being x) is 4 so anything substituting x has to be greater that 8.

Answer:01-80 + 15= |-65= -65 units

Step-by-step explanation:

Answer:

t=(-13)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

12t−8t=−52

12t+−8t=−52

(12t+−8t)=−52(Combine Like Terms)

4t=−52

4t=−52

Step 2: Divide both sides by 4.

4t /4 = −52 /4

Answer:

t = -13

Step-by-step explanation:

12t - 8t = -52

Combine like terms: 12t - 8t = 4t

4t = -52

divide both sides by 4

4t/4 = -52/4

t = -13

Answer:

b. 1.25

Step-by-step explanation:

30 / 24 = 1.25

so u take

1.25 * 1 = 1.25

Answer:

≈ 26.39 inches

Step-by-step explanation:

The circumference of a circle is 2πr or πd with r meaning radius and d for diameter. Since we know the diameter already, we can substitute the value in for d:

C = π(8.4) = 8.4π ≈ 26.39

Step-by-step explanation:

Kim is 5 years older than Scott.

Kim's mum is 3 times Kim's age.

Scott's dad is 3 times Scott's age.

Let age of Scott = y years

Then Kim's age = (y+5) years

Kim's mum age = years

Scott's Dad age = years

Difference between Kim's mum age and Scott's Dad age = Kim's mum age - Scott's Dad age = (3y+15) - (3y) = 15

Answer:

The 3rd option i.e. 'the equation has no solution' is the correct option.

Step-by-step explanation:

Given the given function

4(x – 1) – x = 3(x + 5) – 11

Lily's work is shown below

4(x – 1) – x = 3(x + 5) – 11

4x – 4 – x = 3x + 15 – 11

3x – 4 = 3x + 4

It is clear that the Left-hand side of the equation is not equal to the right-hand side of the equation as 3x – 4 can not be equal to 3x + 4.

i.e.

3x – 4 ≠ 3x + 4

3x - 3x -4 ≠ 4

            -4 ≠ 4

       L.H.S ≠ R.H.S

Therefore, the equation has no solution.

Hence, the 3rd option i.e. 'the equation has no solution' is the correct option.

Answer(s):

[tex]\displaystyle y = 2sin\:(x + \frac{\pi}{2}) - 2 \\ y = 2cos\:x - 2[/tex]

Explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -2 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 2[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -2 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 2[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2sin\:x - 2,[/tex] in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{2}\:unit[/tex] to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACK [tex]\displaystyle \frac{\pi}{2}\:unit,[/tex] which means the C-term will be negative, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.[/tex] So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2sin\:(x + \frac{\pi}{2}) - 2.[/tex] Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits the origin [tex]\displaystyle [0, 0],[/tex] from there to [tex]\displaystyle [2\pi, 0],[/tex] they are obviously [tex]\displaystyle 2\pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle 2\pi.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = -2,[/tex] in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

It would be equal to 15 - (18)

Answer:

it would actually be (B)

Answer:

You add the parts then subtract them with the old part

Step-by-step explanation:

Answer:

109000

Step-by-step explanation:

Answer:

All real numbers except for 0, -5, and 5

Step-by-step explanation:

You can't have a zero in the denominator, therefore 0, -5, and 5 can't be solutions to the equation.

Interval notation:

(-infinity, -5) u (-5, 0) u (0, 5) u (5, infinity)

Set-Builder Notation:

{x| x≠ 0, 5, -5}

Answer:

x = -6

Step-by-step explanation:

[tex]130 + (x + 56) = 180 \\ x = 180 - 56 - 130 \\ x = 180 - 186 \\ x = - 6[/tex]

Answer: 37 dollars

Step-by-step explanation: 7$ times 3 hours = 21 dollars and 8$ times 2hours = 16. 16+21= 37$

Answer:

37 dollars

Step-by-step explanation:

Answer:

322.19

Step-by-step explanation:

RECTANGLE AREA =L × B

=12 × 8

AREA OF CIRCLES= 4(1/2×PIE×6×6)

TOTAL AREA= 12 × 8+ 4(1/2×PIE×6×6)

=322

HOPE IT HELPSS!!