Simplify the expression to a + bi form:
(1 – 8i) + (8 + 6i)

Answer:

[tex]6^{9} * 6^{-3}[/tex]

Answer:

1.x=0 or x=3

2.x=5

3.x=0 or 10/3

4.x=0 or 5/3

Answer:

d=45t

Step-by-step explanation:

Plug 1 in for t

d=45(1)

d=45

so after one hour, the train travels 45 miles

Answer:

£56

Step-by-step explanation:

sadly already payed £42 of the price

so 384-42= 342

now she gonna pay the same amount of money every month from what left to be payed

so 342÷6=56

she gonna pay £56 every month for 6months

Sally desires to get a dishwasher. The cost of the dishwasher is £384. Sally will put down £42 as a deposit. The remaining balance will be paid in six equal monthly installments. The total amount due each month is £56.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

Given the situation, Sally wants to purchase a dishwasher. The cost of the dishwasher is £384. Sally will make a deposit of £42 and the remaining balance over the course of six equal monthly installments.

Sadly, I've already saved £42 on the purchase.

=384-42

= 342

She will now make equal monthly payments from the remaining balance.

=342/6

=56

Thus, Sally desires to get a dishwasher. The cost of the dishwasher is £384. Sally will put down £42 as a deposit. The remaining balance will be paid in six equal monthly installments. The total amount due each month is £56.

Learn more about the arithmetic operation here:

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Answer:

c

Step-by-step explanation:

The solution is, C. AB = WX, must to be true to prove AABC= AWXY by the AAS theorem.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

here, we have,

We are given,

Triangles ABC and WXY having ∠A=∠W and ∠B=∠X

Now, it is give that the triangles hold AAS theorem.

Since, we already have two corresponding angles equal i.e. ∠A=∠W and ∠B=∠X.

So, by AAS Theorem, the corresponding sides between these angles must be  equal.

Thus, we have, AB = WX.

Hence, option C is correct. C. AB = WX, must to be true to prove AABC= AWXY by the AAS theorem.

Learn more about Triangle congruency click here:

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Answer:

31 cm

Step-by-step explanation:

the scatterplot is rising, so based on an assumption of where a line going through the scatterplot is going to go, you get 41

Answer:

45: you want to multiply 1/7 by 49x and then multiply 1/7 by 7y

47: you want to multiply 1/8 by 8x and then multiply 1/8 by -16

49: you want to multiply 1/10 by 100x and then multiply 1/10 by 10y

Answer:

Step-by-step explanation:

factorization, is that how u call it? S: Im not good at english

49 = 7x7, right?

and

7 = 7 x 1

then (49x + 7y) = (7*7x + 7y) = 7(7x + 1y)

7*7x = 49x

7*1y = 7y

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

1*7 -----> 7(7x + 1y)

              -------------

                    7

Simplify 7/7 = 1

answer = 7x +y

Answer:

Proof:

In ΔCDB

∵ The sum of all angles of triangle = 180°

∴ m∠B + m∠C + m∠D = 180°

R3. Their sum = 180 (They form straight angle)

S4. ∠B + ∠A = 180°

R5. Triangle angle sum theorem (Sum of all angles of triangle = 180°)

Answer:

42- 2i

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

a to there powe8 and a to the power1

Answer:

8 refills

Step-by-step explanation:

Set up an equation. You know that Mr. E spent his entire $50, so you start by making one side 50. Then, you know that the total is the same as the sum of everything purchased, so on the other side, add the souvenir, the food, and the refillable drink term (2.5x, with x being the number of refills, the thing the question is asking for). This gets you an equation of 50 = 20 + 10 + 2.5x. Isolate x by getting the x term by itself. In this case, you subtract 20 and 10 from both sides, leaving you with 20 = 2.5x. Finally, divide both sides by 2.5 to isolate x completely, leaving you with 8 = x, or x = 8. Don't forget your units (:

Answer:

8 refills

And the answer to the comment question is $175 for each iPhone 11

Step-by-step explanation:

Hope this helps :)

Pls mark brainliest :3

And have an amazing day <3

Answer:

Exact Form:

−4/11

Decimal Form:

−

0.36

Step-by-step explanation:

Subtract 5/11 from 9/11 to get your answer.

Simplify the expression.

-kiniwih426

Answer:

G.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

let the breadth be x

let the length be x+8

perimeter of rectangle=2 (length +breadth)

so, 2 (x+x+8)=44cm

=2 (2x+8)=44

=4x + 16=44

=4x= 44-16

=4x= 28

=x = 28÷4

=x= 7

therefore,

breadth is 7 (x)

length is 7+8 (x+8)

=15

Answer: Slopes

Step-by-step explanation:

1. slope is [tex]\frac{4}{3}[/tex]

2. slope is [tex]\frac{1}{2}[/tex]

3. Slope is [tex]\frac{4}{2}[/tex] or 2

4. slope is [tex]\frac{3}{2}[/tex]

9514 1404 393

Answer:

  yes

Step-by-step explanation:

When the variation is direct, the ratio of y to x is a constant (the constant of proportionality).

  19/5 = 22.8/6 = 26.6/7 = 30.4/8 = 3.8

The table is another representation of the proportional relation ...

  y = 3.8x

Yes, the variation is direct.

The correct statements about the scenario are;

According to the function given;

Evidently, the function, p(t) represents the number of people that can sit when t tables are available.

In essence, the function resembles that of a general arithmetic progression with first term, a = 4.

The common difference, d = 2.

The statements which are correct are therefore as listed above.

Read more:

https://brainly.com/question/23827460

Applying the general Ohm's Law, it is found that:

a) The impedance is of 8 + 4i ohms.

b) The current is of 17.6 + 8.8i amperes.

c) The impedance is of -11i ohms.

Ohm's Law states that voltage is current multiplied by impedance, that is:

[tex]V = IZ[/tex]

Standard voltage of 220 volts, thus [tex]V = 220[/tex].

Item a:

Current is 22 - 11i amps, thus [tex]I = 22 - 11i[/tex]. Then:

[tex]V = IZ[/tex]

[tex]220 = (22 - 11i)Z[/tex]

[tex]Z = \frac{220}{22 - 11i} \times \frac{22 + 11i}{22 + 11i}[/tex]

Considering [tex]i^2 = -1[/tex]

[tex]Z = \frac{220(22 + 11i)}{605}[/tex]

[tex]Z = 0.3636(22 + 11i)[/tex]

[tex]Z = 8 + 4i[/tex]

The impedance is of 8 + 4i ohms.

Item b:

Impedance is 10 - 5i ohms, thus [tex]Z = 10 - 5i[/tex]. Then

[tex]V = IZ[/tex]

[tex]220 = (10 - 5i)I[/tex]

[tex]I = \frac{220}{10 - 5i} \times \frac{10 + 5i}{10 + 5i}[/tex]

[tex]I = \frac{220(10 + 5i)}{125}[/tex]

[tex]I = 1.76(10 + 5i)[/tex]

[tex]I = 17.6 + 8.8i[/tex]

The current is of 17.6 + 8.8i amperes.

Item c:

Current is 20i amps, thus [tex]I = 20i[/tex]. Then:

[tex]V = IZ[/tex]

[tex]220 = 20iZ[/tex]

[tex]Z = \frac{220}{20i} \times \frac{20i}{20i}[/tex]

[tex]Z = -\frac{220 \times 20i}{400}[/tex]

[tex]Z = -11i[/tex]

The impedance is of -11i ohms.

A similar problem is given at https://brainly.com/question/16850726

Answer:

Step-by-step explanation:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. A rational function is a function of the form f(x)=p(x)q(x) , where p(x) and q(x) are polynomials and q(x)≠0 .

Answer:

3 terms

Step-by-step explanation:

2x² - 3y + 5

= 2x² / - 3y / + 5

The 3 terms are 2x² , - 3y and + 5

Answer:

Step-by-step explanation:

Plot the points x-intercept and intercept on the graph. Join the two points to get the straight line. This is the graph of the linear equation.

Answer:

Slope: 3/4

Step-by-step explanation:

If you want the equation for the line:

y = (3/4)x - 1

However, this is how you find the slope:

You want to find any two point on the graph, however, it's easier if it touches exactly where two number meet. For example I chose:

(0,-1) and (2,4)

Now just find the change in y, and divide it by the change in x

change in y = 3

change in x = 4

So your slope is 3/4

Answer:

3/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for electrical power, P, is P = I2R , where I is current and R is resistance. The formula for I in terms of P and R is 1 I= P/R 2 3 I=P-R2 2 I= square root of P/R 4 I= square root of P-R.

Answer:

Step-by-step explanation:

1)  AB ≅ AD    Given

BC ≅ BD

2) Given

3) AC ≅ CA         Reflexive property

ΔABC ≅ ΔADC  

4) S S S Congruent

5)∠B ≅∠D            CPCTC

The exterior angle property of a triangle

[tex] \Large\begin{gathered} {\underline{\boxed{ \rm {\red{y \: + \: 45 \degree \: = \: 100 \degree}}}}}\end{gathered}[/tex]

Now , solving this liner equation

[tex]{{ \large{ \purple{ \rm{{↬}}}}}} \rm \large \: \: \large \rm \: y \: + \: 45 \degree \: = \: 100 \degree[/tex]

[tex]{{ \large{ \purple{ \rm{{↬}}}}}} \rm \large \: \: \large \rm \: y \: = \: 100 \degree \: - \: 45 \degree \:[/tex]

[tex]{{ \large{ \purple{ \rm{{↬}}}}}} \rm \large \: \: \large \rm \: y \: = \: 55 \degree[/tex]

Answer:

Your answer is Y = 55°.

Step-by-step explanation:

x = 180 - 100

x = 80

80+45 = 125

180-125 = 55

Hope this helps!

Answer:

4 × 8 = 32 so it is positive

Step-by-step explanation:

Answer:

Hi, 4x8 is positive.

Step-by-step explanation:

4x8=?

4+4+4+4+4+4+4+4=?

4x8=32

Since both numbers are positive, the answer will also be positive.

Hope this helps!!