how many solutions does the following system of equations have: 3x−2y=−7 4y=9−6x

Answer: Sunday

Step-by-step explanation:

The 27th would be tuesday

The 3rd would be tuesday

The 10th would be tuesday

The 15th would be sunday

Answer:

Step-by-step explanation:

a

Answer:

a = 2

Step-by-step explanation:

I hope this helps!

[tex] \: \: \: \: [/tex]

[tex]elipse \: \: \: with \: \: the \: \: center (3, - 4)[/tex]

The length of major axis of the ellipse 2√32.

The length of minor axis of the ellipse 2√18.

What is an ellipse?

The standard form of the ellipse is defined as;

x² / a² + y² / b² = 1

Where, a < b

Minor axis of the ellipse = 2a

And, Major axis of the ellipse = 2b

Given that;

The equation of the ellipse is,

(x−3)² / 18 + (y+4)² /32 = 1

Now,

We can compare with the standards form of an equation of ellipse, we get;

a² = 18

a = √18

And, b² = 32

b = √32

Clearly, √18 < √32

That is; a < b

So, The minor axis of the ellipse = 2a

                                                  = 2√18

And, The major axis of the ellipse = 2b

                                             = 2√32

Therefore,

The length of major axis of the ellipse 2√32.

The length of minor axis of the ellipse 2√18.

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Answer:

739 x 4

2926 ft³ is your answer

Answer:

Step-by-step explanation:

radius=18/2=9 ft

[tex]V=\frac{4}{3} \pi r^3\\=\frac{4}{3} \pi (9)^3\\\approx \frac{4}{3} \times 3\times 729\\\approx 4 \times 729\\\approx 2916 ~ft^3[/tex]

Answer:

2 or...?

Step-by-step explanation:

The hexagon is 2 inches long

Multiply it with the given measurement. 1 foot is 12 inches. This means that the perimeter = 12 in. A hexagon has 6 sides. This means that 12 divided by 6 sides = 2 in.

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Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle

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Answer:

The third option, 1/2..

The expressions that calculate the number of hours that Demetrius works in a week are [tex]5(x+1)\text{ and }5x+5[/tex]

If Latisha works [tex]x[/tex] hours each day

Demetrius works one more hour than Latisha each day. Algebraically, Demetrius works [tex](x+1)[/tex] hours each day

So for a [tex]5[/tex]-day working week, Demetrius will work

[tex](x+1)+(x+1)+(x+1)+(x+1)+(x+1)\\=5\times (x+1)\\=5(x+1)hours[/tex]

If we remove the brackets, we have the equivalent expression

[tex]5(x+1)=5x+5[/tex]

So the expressions that calculate the number of hours that Demetrius works in a week are [tex]5(x+1)\text{ and }5x+5[/tex]

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the denominator has to be one so you multiply 1/4 by 4, and 4/8 by 4 also

2:1

Answer:

tans=0.8770580193

Step-by-step explanation:

Hello! :p

[tex]\sqrt{-8}[/tex]  = [tex]2i\sqrt{2}[/tex]

[tex]\sqrt{-36}[/tex] = [tex]6i[/tex]

[tex]\sqrt{-5}[/tex] = [tex]i\sqrt{5}[/tex]

I hope you do well on your assignment! I also hope this helps! :)

Answer:

slope = 0.8

Step-by-step explanation:

HOPE THIS HELPS :)

Answer:

Proton

Step-by-step explanation:

The charge on the proton and electron are exactly the same size but opposite. Neutrons have no charge. Since opposite charges attract, protons and electrons attract each other.

Hope this helps you luv!

3(x + 7) = 57 |÷3

x + 7 = 57/3

x + 7 = 19 |-7

x = 19 - 7

x = 12

Answer:

[tex]y=-\frac{1}{3}(x-2)^2+4[/tex]

Step-by-step explanation:

Vertex form of a parabola is [tex]y=a(x-h)^2+k[/tex] with the vertex being [tex](h,k)[/tex] and the vertical stretch or shrink factor as [tex]a[/tex].

Therefore, the correct equation is [tex]y=-\frac{1}{3}(x-2)^2+4[/tex]

The equation in vertex form of the downward-opening parabola with vertex (2, 4) that is stretched by a factor of 3.

The vertex form of a downward-opening parabola is given by:

y=a(x-4)²+k

Where (h, k) is the vertex of the parabola.

The vertex is (2, 4), and the parabola is stretched by a factor of 3. The negative sign in front of "a" indicates that the parabola opens downward.

So, we have:

Vertex: (h, k) = (2, 4)

Stretched factor:

a=-3

Now plug these values into the vertex form equation:

y=-3(x-2)²+4

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Answer:

A≈653.45

Step-by-step explanation:

Solution

A=2πrh+2πr2=2·π·8·5+2·π·82≈653.45127

Answer:

Look Below

Step-by-step explanation:

Now if you are looking what percent 15 is in 150, then it'll be 22.5%

Just Multiply 150 with 15 (add a 0. before adding the 15) then multiply 150 x 0.15, and you get 22.5, to which that is 22.5%.

Answer:

10 dimes and 6 quarters.

Step-by-step explanation:

2.50-25-25=2.00-10 dimes = 1.00-4 0.25=0

so

10 dimes and 6 quarters.

Answer:

10 Dimes and 6 Quarters.

Step-by-step explanation:

Important info:

16 Coins

Total = $2.50

Note:

Dimes = 0.10 Cents

Quarters = 0.25 Cents

Question to answer:

How many of each type of coin does she have?

Solution:

10 Dimes = $1.00

6 Quarters = $1.50

$1.00+$1.50 = $2.50

Therefore 10 Dimes and 6 Quarters = $2.50 and = 16 Coin.

Answer: You need to count how many squares are shaded (at least half of it), therefore the area is 32 square units.

Answer:

c(2) = -10

Step-by-step explanation:

The first equation says that the first term of the sequence is -20.

The second equation is saying that to find any term of the sequence, add 10 to the previous term.

c(2) = c(2-1) + 10

c(2) = c(1) + 10

c(2) = -20  + 10 = -10

Answer:

Plot the points (0,0) and (1,3) to make the line.

Step-by-step explanation:

We know that a linear equation is y=mx+b, m is the slope and b is the y-intercept. We can see that the slope is m=3, and there is no b meaning b=0. Since the y-intercept is 0 we can start from the origin (0,0). The slope is 3/1 or known as rise/run. You go up 3 and go right 1, making the second point (1,3). This should work.

Answer:

5.4

Step-by-step explanation:

You need to use the Pythagorean theorem and if you know that the base is 2 and the height 5 then you got 5.4

[tex]61 + (6x - 31) = 90[/tex]

Subtract both sides 61

[tex]61 - 61 + 6x - 31 = 90 - 61[/tex]

[tex]6x - 31 = 29[/tex]

Add both sides 31

[tex]6x - 31 + 31 = 29 + 31[/tex]

[tex]6x = 60[/tex]

Divide both sides by 6

[tex] \frac{6x}{6} = \frac{60}{6} \\ [/tex]

[tex]x = 10[/tex]

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Answer:

x = 10

Step-by-step explanation:

It's a 90˚ angle so subtract 61 from 90, which is 29.

Then add 31 to that 29, which would come out to 60.

60 divided by 6 to isolate the variable would come to 10.

Check your answer by multiplying 10 by 6, subtract the 31, and lastly add the 61 to get back to your 90.

Answer:

No it is not a factor of 56

Answer:

No

Step-by-step explanation:

6,12,18,24,30,36,42,48,54,60

Answer:

Step-by-step explanation:

1. 4x° + 4x° + 4x° = 180° ( The sum of all interior angles of any triangle is equal to 180° )

[tex]4x + 4x + 4x = 180 \\ 12x = 180 \\ x = \frac{180}{12} \\ x = {15}^{o} \\ [/tex]

4x° + 4x° = y° ( An exterior angle of a triangle is equal to the sum of its two interior opposite angles. )

[tex]4x + 4x = y \\ 4(15) + 4(15) = y \\ 60 + 60 = y \\ {120}^{o} = y[/tex]

2. y° + 60° + 60° = 180° ( The sum of all interior angles of any triangle is equal to 180° )

[tex]y + 60 + 60 = 180 \\ y + 120 = 180 \\ y = 180 - 120 \\ y = {60}^{o} \\ [/tex]

All three internal angles are also congruent to each other and are each 60°. Therefore this is a equilateral triangle.

Perimeter = 4x + 4x + 4x ( An equilateral triangle is a triangle with all three sides of equal length. )

[tex]54 = 4x + 4x + 4x \\ 54 = 12x \\ \frac{54}{12} = x \\ x = 4.5[/tex]