Simplify the following expression
-5(6 - 2i) +(3+ i)(2-3i)

Answer:

-24

Step-by-step explanation:

5(-3) + -9 =

-15 + -9 =

-24

c

5×-3+-9

15+9=24

i think

Answer:

Image: (-7,3)

Step-by-step explanation:

Reflections In The Coordinate Plane

Reflect over the line y = x:

When reflecting a point across the line y = x, the x-coordinate, and y-coordinate change places.

Thus, the point (3,-7) maps to the point (-7,3) when reflected over y=x.

Answer:

b) 8 feet

Step-by-step explanation:

5+3=8

So, the answer will be 8

The third length must be 3 feet.

a plane figure with three straight sides and three angles.

If you are referring to a triangle with known side lengths of 3 and 5, then all we can say about the length of the third side is that it must be more than 3 and less than 5:

If you imagine the two sides (lengths 3 and 5) are the hands of a clock, if the time is 12:00 with both the hands on top of each other, then the distance between the two points of the hands is 5–3 or 2 units, that is the shortest distance between the two endpoints of our clock hands. So the third side of the triangle must be more than 2 units long.

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Answer:

B is ur answer! Divide 8 by 3

Step-by-step explanation:

PEMDAS

Answer:

The first one is (-4,3) The second one is (-1,3)

Answer:

Yes.

Step-by-step explanation:

First, draw a vertical line. Then check the interception between the graph and a vertical line.

If the line intercepts the graph only one point, then it is a function. Otherwise, it is not. That includes two or more.

The graph shown in the picture is a function (Cubic Function).

Answer:

15/20    16/20    <

Step-by-step explanation:

First, make a common denominator for both, which is 20. So, 3/4 = 15/20. Then 4/5= 16/20. 15/20 < 16/20, so 3/4 < 4/5.

Answer:

C

Step-by-step explanation:

Answer:

C. 12.2

Step-by-step explanation:

7^2 + 10^ = 49 + 100

Square root of 149 = 12.2

Answer:

-2(2x+3)

Step-by-step explanation:

Answer:

-2 (2x + 3)

Step-by-step explanation:

We need to use FOIL

Multiply the FIRST terms of each set together

Then the OUTSIDE terms

Then the INSIDE terms

and then the LAST terms

Thus:

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

[tex]2*3 = 6[/tex]

[tex]-4*3 = -12[/tex]

[tex]-4*2x = -8x[/tex]

So finally we end up with 4x + 6 - 12 - 8x

Simplifying this gives us -4x - 6

We can then factor out -2 from each factor, giving: -2(2x+3)

Hope this helps!

Answer:

A

Step-by-step explanation:

A proportional relationship is basically just a pattern between numbers.

Hence the correct option is A

Answer: x=6

Step-by-step explanation:

2,284 divided by 3,what is the remainder??

2,284÷3=761 and remainer=1

Answer:

761 R1

Step-by-step explanation:

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

Explanation:

The hexagon is broken up into 6 congruent or identical equilateral triangles. If we find the area of one triangle, then we multiply by 6 to get the area of the hexagon.

Going in reverse, we divide the hexagon's area by 6 to get the area of one equilateral triangle

We're told the hexagon has an area of [tex]18\sqrt{3}[/tex] square inches. Divide this by 6 and you should get the result [tex]3\sqrt{3}[/tex]. So each of the six equilateral triangles has area of [tex]3\sqrt{3}[/tex] square inches.

-------------------------------------

Each triangle has a base of [tex]2(\sqrt{3})^{x/12}[/tex] and a height of [tex](\sqrt{3})^{x/6}[/tex]

The x/12 and x/6 are exponents.

Let [tex]b = 2(\sqrt{3})^{x/12}[/tex] and [tex]h = (\sqrt{3})^{x/6}[/tex] be the base and height respectively.

Also, let [tex]A = 3\sqrt{3}[/tex] be the area of the triangle

We can then solve for x like so:

[tex]A = 0.5*b*h\\\\3\sqrt{3} = 0.5*2(\sqrt{3})^{x/12}*(\sqrt{3})^{x/6}\\\\3*3^{1/2} = (\sqrt{3})^{x/12+x/6}\\\\3^1*3^{1/2} = (\sqrt{3})^{x/12+2x/12}\\\\3^{1+1/2} = (\sqrt{3})^{3x/12}\\\\3^{3/2} = (3^{1/2})^{x/4}\\\\3^{3/2} = 3^{(1/2)*(x/4)}\\\\3^{3/2} = 3^{x/8}\\\\[/tex]

Since the bases are equal to 3, this means the exponents must be equal as well (for both sides overall to be equal)

3/2 = x/8

3*8 = 2*x ... cross multiply

24 = 2x

2x = 24

x = 24/2

x = 12

Answer:

26

Step-by-step explanation:

65÷5, 3×2.

13x2+26

(3,1 ) is a solution

X+Y=4

X-Y=2

X=4-y

4-y-y=-2

4-2y=-2

-2y=-2

y=1

X+1=4

X=4-1

X=3

Answer:

20 cents

Step-by-step explanation:

12 divided by 2.40

Answer: 1) 2

2) 7/10

3) -1/3

Answer:

5 1/6

Step-by-step explanation:

Rewriting our equation with parts separated

=8+2/4−3−1/3

Solving the whole number parts

8−3=5

Solving the fraction parts

2/4−1/3=?

Find the LCD of 2/4 and 1/3 and rewrite to solve with the equivalent fractions.

LCD = 12

6/12−4/12=2/12

Reducing the fraction part, 2/12,

2/12=1/6

Combining the whole and fraction parts

5+1/6=5 1/6

Answer:

75 miles

Step-by-step explanation:

If the bird flies for 90 minutes at 50 mph (miles per hour), we need to calculate how many hours 90 minutes is.

One hour is 60 minutes. Our equation will be: 90/60 = 1.5

This mean the bird flies 1.5 hours at 50 mph. To find the distance, we multiply 1.5 by 50.

1.5 × 50 = 75

The bird has flown 75 miles.

Answer:

This what I got.

Hope it helps!

The solution of 1st and 2nd system of equations have solutions same as the main system of equations and 3rd is not same.

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

The given equations are;

-2x-5y = -47........(i)

4x-2y = -2

We can simply it, and write;

2x-y = -1

y = 2x+1.....(ii)

Put equation (ii) in (i)

-2x-5(2x+1) = -47

-2x-10x-5 = -47

-12x = -42

x = 7/2

Put value of x in eq (ii)

y = 2(7/2)+1

y = 8

Therefore, the solution of main equation is (7/2, 8)

Solving the other three equations,

1) -14x+y = -41

or, y = -41+14x......(i)

2) 4x-2y = -2

or, 2x-y = -1

y = 2x+1....(ii)

Solving the equations,  

2x+1 = -41+14x

12x = 42

x = 7/2

Put x = 7/2, in (ii)

y = 8

Therefore, the solution is (7/2, 8)

We get the solution of main equation is equal to this system of equation.

2) -2x-5y = -47......(i)

6x+3y = 45

or, 2x+y = 15.......(ii)

Solving the equation by elimination,

-4y = -32

y = 8

Put y = 8 in equation (ii)

2x+8 = 15

x = 7/2

Therefore, the solution is (7/2, 8)

Again, we get the solution of main equation is equal to this system of equation.

3) -2x-5y = -47.........(i)

8x-5y = -8.......(ii)

Solving the equations by elimination,

-10x = -39

x = 39/10

Since, value of x is not same as the value of x in main equation, that means, both the system of the equation do not have same solution.

Hence, we get that, the solution of 1st and 2nd system of equations have solutions same as the main system of equations and 3rd is not same.

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Answer:

a) 3 b) y = 3x + 11

Step-by-step explanation:

a)

In order to find the gradient (slope), find the change in y or change in x (rise/run).

-2 - 2 / 7 - (-5)

-2 - 2 / 7 + 5

-4/12 = -1/3

Now that we know the gradient of line AB is -1/3, take the opposite reciprocal of that to find the gradient perpendicular to line AB.

-1/3 ⇒ 3

b)

Take point C's values and the perpendicular gradient found earlier and substitute them into the point-slope form equation.

y - 5 = 3(x - (-2))

y - 5 = 3(x + 2)

y - 5 = 3x + 6

y = 3x + 11

Answer:

138

Step-by-step explanation:

Answer:

138

Step-by-step explanation:

Area of a triangle = ½×base×height

Base=12

Height=23

Area=½×12×23

=1×6×23

=138cm²

12 can be divided exactly by 2 that's why we have 6.

Answer:

-3

Step-by-step explanation:

{2/3 × 0} -3

{0} -3

0-3 = -3

Answer:

Step 2 is wrong.

It should be 3x – 18 + 4x + 12 – 6x

Explanation:

3(x – 6) + (4x + 12) – 6x →

3x – 18 + 4x + 12 – 6x →

(3x + 4x – 6x) + (-18 + 12) →

x – 6

Answer: hahahah don't

Step-by-step explanation:

Answer:

y=200x

Step-by-step explanation:

the y intercept is 0 so it does not need to be added

the line rises 200 every time

don´t really know how else to explain hope this helps