Maths question algebra

Answer:

We can treat i as if it was a variable/symbol, with the caveat that

i * i = -1

[6]

(4 - 13i) - (3 + 6i) = 4 - 13i - 3 - 6i = 4 - 3 - 13i - 6i = 1 - 19i

[7]

-1 + (-7 + 8i) - 18i = -1 - 7 + 8i - 18i = -8 - 10i

[8]

2i * (4 + 3i) = 2i * 4 + 2i * 3i = 8i + 6i^2 = 8i + 6*-1 = -6 + 8i

[9]

(6 - i) * (9 + 3i) = 6 * 9 + 6*3i - i*9 - i*3i = 54 + 18i - 9i - 3i^2 = 54 + 9i - (3*-1) = 54 + 9i + 3 = 57 + 9i

Answer:

6.) 1 - 19i

7 ) -8 - 10i

8.) -6 + 8i

9.) 57 + 9i

not sure if its the right answer

Answer:

y+4=-5/6(x-8)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-5/6(x-8)

y+4=-5/6(x-8)

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Equivalent equations are equations of equal values

The system of equations from the given equation are:

[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]

The logarithmic equation is given as:

[tex]\log_4(x^3) = \log_2(2x)[/tex]

Split the above equation as follows:

[tex]y = \log_4(x^3)[/tex]

[tex]y= \log_2(2x)[/tex]

Rewrite [tex]y = \log_4(x^3)[/tex] as:

[tex]y=3\log_4(x)[/tex]

Hence, the system of equations from the given equation are:

[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]

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Answer:

Ivan: 4

Caleb: 4, 4, 4, 4, 4, 4, 4

Step-by-step explanation:

For every 4 Ivan sees, Caleb sees 28. (4 times 7)

Answer:

[tex]\frac{2}{3}[/tex] X [tex]\frac{2}{2}[/tex] = [tex]\frac{4}{6}[/tex]

[tex]\frac{2}{3}[/tex] X [tex]\frac{3}{3}[/tex] = [tex]\frac{6}{9}[/tex]

Ans: [tex]\frac{2}{3}[/tex] => [tex]\frac{4}{6}[/tex] and [tex]\frac{6}{9}[/tex]

[tex]\frac{5}{7}[/tex] X [tex]\frac{2}{2}[/tex] = [tex]\frac{10}{14}[/tex]

[tex]\frac{5}{7}[/tex] X [tex]\frac{3}{3}[/tex] = [tex]\frac{15}{21}[/tex]

Ans: [tex]\frac{5}{7}[/tex] => [tex]\frac{10}{14}[/tex] and [tex]\frac{15}{21}[/tex]

Answer

if there´s any answer choice, the answer is 1

Step-by-step explanation:

Answer:

i think that the answer is b

hope it helps

Answer:

62%

Step-by-step explanation:

120-46=74

74/120 don't use

simplify 37/60

to percent; 62%

Answer:

4

Step-by-step explanation:

Answer:

I'm sorry pls retake the pic really quickly.. I can't see the entire problem!

Then I'll add my answer if I can! Thx!

Answer: b because i did the eqaution on paper

Step-by-step explanation:

Answer:

375

Step-by-step explanation:

150 x 2= 300 -Thats for the 20 minutes

And 150 divided by 2 = 75= Thats for the addtional 5 minutes

The correct option is  D. 136.1 cubic inches.

Given, Radius of cone is 5.1 inches.

Height of cone is 5 inches.

We know that, volume of cone,

[tex]V=\frac{1}{3} \pi r^{2} h[/tex]

Here r is the radius of cone and h is its height.

on putting the value of r and h, we get

[tex]V=\frac{1}{3} \times3.14\times(5.1)^{2} \times5[/tex]

[tex]V=\frac{1}{3} \times3.14\times26.01\times5[/tex]

Or, [tex]V=136.119 \ cubic \ inches[/tex].

The volume of cone to the nearest tenth is 136.1 cubic inches.

Hence the correct option is  D. 136.1 cubic inches.

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Answer:

[tex]\frac{2}{27}[/tex]

Step-by-step explanation:

hope this helps! :D

have a MIRACULOUS day!! <3

Answer:

2/27

Step-by-step explanation:

14/27÷7

Convert The element to fraction: 7=7/1

=14/27 ÷ 7/1

Apply the fraction rule:

=14/27 x 1/7

Cross- cancel common factor: 7

2/27

Answer:

4 1/9

Step-by-step explanation:

Well we can infer that the whole number will be 4. And 0.111 repeating is 1/9 as a fraction.

Answer:

[tex](x^4y^5)(x^2y^4)[/tex]

Step-by-step explanation:

Keep these things in mind:

[tex]x^3\times x^3=x^{3+3}=x^6\\\\(x^3)^3=x^{3\times3}=x^9[/tex]

Using those, simplify the left side of this equation:

[tex](x^2y^3)^3\\x^6y^9[/tex]

Now we know what the exponents need to become, so we can find the difference between those and what we have on the right:

[tex]6-4=2\\9-5=4[/tex]

We need to add a 2 to the x, and add a 4 to the y.

[tex](x^4y^5)(x^2y^4)[/tex]

Answer:

23

Step-by-step explanation:

Evaluate f(- 2) then substitute the value obtained into g(x)

f(- 2) = 3(- 2)² + 2(- 2) - 1 = 3(4) - 4 - 1 = 12 - 5 = 7 , then

g(7) = 4(7) - 5 = 28 - 5 = 23

[tex]\text{Given that,}\\\\f(x) = 3x^2 +2x -1\\\\f(-2)=3(-2)^2 +2(-2) -1 = 12-4-1=7\\\\g(x) = 4x -5\\\\\text{Now,}\\\\(g \circ f) (-2)\\\\=g(f(-2))\\\\=g(7)\\\\=4(7)-5\\\\=28-5\\\\=23[/tex]

Answer:

Add 8 to the y value of point p, (4, -2 +8)So the location of the second light is on point (4,6)

Answer:

not parallel.

Step-by-step explanation:

1) to perform the requirement, it is ehough to compare the slope AB and the slope CD (the coordinates are A(2;7); B(1;3); C(7;5); D(6;2));

2) slope of AB: (7-3)/(2-1)=4;

3) slope of CD: (5-2)/(7-6)=3;

4) finally, AB∦CD (4≠3).

Answer:

8-r/-2

8-12/-2

-4/-2

2

This is the answer

I think this will help you

Answer:

88

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

When you reflect across the y axis the numbers stay the same but the x coordinates become negative.

So the new coordinates are:

F(-4, 6)

G (-9, 6)

H (-7, 1)

I (-4, 0)

J (-1, 3)

Answer:

  (a)  1

Step-by-step explanation:

When you draw a horizontal line on the graph at y=1, you see it intersects the curve in two places. That is, there will be 2 real solutions to f(x) = 1, not 4 solutions.

If you want 4 solutions, the value of c in f(x)=c cannot be 1.

Answer: 18:23

Step-by-step explanation:

Answer:

Answer:

y=3x

Step-by-step explanation:

you have to  figure out what mutiply  by your x give you y

2/1

3/6

when you divide  you get 2

The expressions that can be used to calculate both numbers of hours Demetrius works in 5-day work week is 5(x + 1)  and 5x + 5

We are being told that Latisha works x hours each day and Demetrius works 1 more hour each day than Latisha.

So,

Thus, the both expression that can determine the number of hours Demetrius works in five days is:

= 5(x + 1)  and 5x + 5

This is because if we open the bracket from 5(x+1) and multiply each term in the bracket with 5, we end up having 5x + 5.

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Answer:

cos B = 9/41

Step-by-step explanation:

cos is adjacent over hypotenuse. SOH(CAH)TOA

Answer:

A. 4

General Formulas and Concepts:

Pre-Algebra

Evaluations

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points.

Point (0, 1)

Point (-1, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Answer:

The answer is A. 4

Step-by-step explanation:

Identify points.

Point (0, 1)

Point (-1, -3)

Simply plug in the 2 coordinates into the slope formula to find slope m.

[tex]\displaystyle m = \frac{-3 - 1}{-1 - 0}m=−1−0−3−1[/tex]

[tex]\displaystyle m = \frac{-4}{-1}m=−1−4[/tex]