The linear system shown is _____.

inconsistent
independent
equivalent

Answer:

14 degrees.

Step-by-step explanation:

I am assuming that the 56 degree angle is at the centre of the circle.

The angle at the top in the circle = 1/2 * 56 = 28 degrees.

The reflex angle = 360 - 56 = 304 degrees.

If we draw a line from the vertex of the 56 degrees angle to the vertex of 28 degree angle we bisect the reflex angle and the 28  degree angle. Also the 2  triangles formed are congruent ( by SSS).

So x = 180 - 1/2 * 28 - 1/2 * 304

= 180 - 14 - 152

= 180 - 166

= 14 degrees.

The rotation of the point is (-5, 6)

The point is given as:

Point = (6,5)

The rule of 90 degrees counterclockwise rotation around the origin is

(x, y) = (-y, x)

So, we have

Image = (-5, 6)

Hence, the rotation of the point is (-5, 6)

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Every 3rd term that occurs after the first term in the second pattern (that is, the 4th term, 7th term, 10th term, 13th term, 16th term, etc.), all represent the terms of the first pattern.

Both Patterns start at 0

Pattern 1 follows the rule, add 9.

Pattern 1 has terms, 0, 9, 18, 27, 36, 45, 54, 63, 72, 81....

Pattern 2 follows the rule, add 3.

Pattern 2 has terms, 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54...

It is evident that all of the terms of the first pattern will eventually occur in the second pattern at some regular points.

They both have the same first terms.

Both Patterns have terms that are all multiples of 3.

Every 3rd term that occurs after the first term in the second pattern (that is, the 4th term, 7th term, 10th term, 13th term, 16th term, etc.), all represent the terms of the first pattern.

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Answer:

-The graph of this sequence would pass the horizontal line test.

-Each day corresponds to a unique amount of pennies in this sequence.

Step-by-step explanation:

Answer:

B)The graph of this sequence would pass the horizontal line test.

D)Each day corresponds to a unique amount of pennies in this sequence.

Step-by-step explanation:

I took the test

The percent of the time that Haddad will save by paying the extra $30.000 per month is d) 59%.

A percentage is a unit in 100, a part of a whole, or a ratio of one variable to the bigger variable.

Percentages show the quantity or value of the independent variable that is contained in a dependent variable.

Data and Calculations:

Total months to pay off a debt = 58 months

The additional amount required to reduce the payment period to 24 months = $30 per month

The savings in time = 59% (58 -24/58 x 100).

Thus, the percent of the time that Haddad will save by paying the extra $30.000 per month is d) 59%.

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Answer:

b=20 or b=-20

Step-by-step explanation:

Keep in mind the meanings of the values of the discriminant:

If b^2-4ac=0, then the quadratic will have only 1 solution (double root)

If b^2-4ac<0, then the quadratic will have no real solutions

If b^2-4ac>0, then the quadratic will have 2 unique solutions

In this case, to get one real solution, the discriminant must be set up as b^2-4ac=0. Setting up the equation we get:

b^2-4(4)(25)=0

b^2-400=0

b^2=400

b=20 or b=-20

So the values of b would have to be either 20 or -20

The values of b will cause 4x^2+bx+25=0 to have one real solution is -20 and 20

Given the quadratic equation [tex]4x^2+bx+25= 0[/tex], for this expression to have a real solution, the discriminant must be greater than zero

D > 0

b^2 - 4ac > 0

Given that a = 4, b = b, c = 25

b^2 - 4(4)(25) > 0

b^2 - 400 > 0

b^2 > 400

b > ±20

Hence the values of b will cause 4x^2+bx+25=0 to have one real solution is -20 and 20

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Answer:

answer

8-10=3y

-2=3y

y= -2÷3

Step-by-step explanation:

hope it is helpful to you

Answer:

words are big and if words are big am I small

Answer:

when the data is skewed

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

the smallest composite number that can be written as a product of four different prime numbers is 6

Answer:

D.)

Step-by-step explanation:

Answer:

DDDDDDDDD

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

-9 is the final answer

Step-by-step explanation:

2x-4x=-2x

so the equation would be -2x-15=3

add 15 to both sides -2x=18

divide both sides by -2

Answer:

umm i am pretty sure it is 20 to 22

Step-by-step explanation:

Answer:

2cm

Step-by-step explanation:

because?

Answer:

-44

Step-by-step explanation:

The height of the room will be 4 meters

In the question, It is given that a room's four walls have to be covered by a 3-D paper of 3m² and 41 such papers are required for this. Also, we have been given that the room has 4 Windows of dimensions 2m * 1.75m each and 2 Doors of dimension 1m * 3.5m.

It is also stated that the tiling of the floor is done by tiles of dimension 2m * 1.5m each and 24 tiles are used for tiling.

Given that length is twice as breadth, Breadth b = x, and Length l = 2x

We know the Area of the rectangle: length * breadth

Area of tiles = 2 * 1.5 = 3m²

Area of 4 Windows = 2 * 1.75 *4 = 14m²

Area of 2 Doors = 2 * 1 * 3.5 = 7m²

On floor 24 tiles are used. So to calculate it we have : [tex]\frac{l*b}{3} = 24[/tex]

          =>  [tex]2x^{2} = 72[/tex]   => x = 6

We get x = 6. Now, Breadth = 6meters, and Length = 12meters

For covering Four walls of the room with sheets, We will find out the Curved Surface Area of the room:  2h(l+b), where h is the height of the room. We also have to exclude the area of Four Windows and Two Doors for sheets. And a total of 41 pieces of sheets are required to cover it with an area of 3m² each. So, the formula will be, [tex]\frac{2h(l+b)-14-7}{3} = 41[/tex]

          => [tex]\frac{2h(18) - 14 - 7}{3} = 41[/tex]    =>  36h = 144

         =>  h = 4 metres

Hence, the height of the room will be 4 meters.

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[tex] \frac{3 + x}{3} = \frac{x}{2} [/tex]

[tex] \frac{3}{3} + \frac{x}{3} = \frac{x}{2} [/tex]

[tex]1 + \frac{x}{3} = \frac{x}{2} [/tex]

[tex]1 = \frac{x}{2} - \frac{x}{3} [/tex]

[tex]1 = \frac{3x}{6} - \frac{2x}{6} [/tex]

[tex]1 = \frac{x}{6} [/tex]

[tex]1 \times 6 = x[/tex]

[tex]6 = x[/tex]

Answer: y = 1/2x + 1

(4,2)

4=x1

2=y1

y = mx + b

2 = 1/2(4) + b

2 = 2 + b

b = 1

y = 1/2x + 1

Answer:

3/2

Step-by-step explanation:

move the 3x to the other side and divide it by 2

Answer:

[tex]y - (-2) = (-5/3)\, (x - 6)[/tex].

.Step-by-step explanation:

The [tex]x[/tex]-coordinates of the two given points are different. Therefore, the line that goes through these points would not be vertical. Likewise, this line would not be horizontal since the [tex]y[/tex]-coordinates of the given points are different.

If a line in a plane is of slope [tex]m[/tex] and goes through point [tex](x_{0},\, y_{0})[/tex], the point-slope equation of this line would be [tex]y - y_{0} = m\, (x - x_{0})[/tex].

If a line in a plane goes through the points [tex](x_{0},\, y_{0})[/tex] and [tex](x_{1},\, y_{1})[/tex] (where [tex]x_{0} \ne x_{1}[/tex],) the slope of this line would be [tex]m = (y_{1} - y_{0}) / (x_{1} - x_{0})[/tex].

Since the line in this question goes through points [tex](6,\, -2)[/tex] and [tex](0,\, 8)[/tex], the slope of this line would be:

[tex]\begin{aligned} m &= \frac{8 - (-2)}{0 - 6} \\ &= \frac{10}{(-6)} \\ &= -\frac{5}{3}\end{aligned}[/tex].

Let [tex](6,\, -2)[/tex] be the point [tex](x_{0},\, y_{0})[/tex]. The point-slope equation of this line would be:

[tex]y - (-2) = (-5 / 3)\, (x - 6)[/tex].

Answer:

x=3 y=6

Step-by-step explanation:

using elimination

Answer:

5/3

Step-by-step explanation:

Between the two points, the line goes up 5 points and to the right 3 points. The slope is rise over run, so in this case the rise is 5 and the run is 3.

This makes our slope:

5/3

Answer:

28.26ft

Step-by-step explanation:

A=πr^2

π*3^2=28.27433

28.26

Answer:

C. 7/8 days

Step-by-step explanation:

Answer:

c

Step-by-step explanation: