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3 years ago

What is the value of (33 - 2 × 7) + (5 × 3 - 22) ?

Mathematics

1 answer:

harkovskaia [24]3 years ago

5 0

Answer:

Step-by-step explanation:

Keep in mind the rules of PEMDAS

P (parenthesis)

E (exponents)

M (multiply)

D (division)

A (addition)

S (subtraction)

Because parenthesis is the first operation in PEMDAS, you would start by calculating inside the parenthesis

We can start with the numbers inside the first parenthesis

(33 - 2 × 7)

Start by multiplying 2 and 7 because the M comes before the S

(33 - 2×7)= (33- 14)

Now subtract 14 from 33

(33-14) = 19

Step 2: Calculate inside the second parenthesis

(5 × 3 - 22)

Multiply first

(5 × 3 - 22)= (15 - 22)

Subtract!

(15 - 22)= -7

Now add the final number together

(why? There is an addition sign between the two parenthesis ordering us to add the final numbers together)

19 + (-7)

19-7

I hope this helps!!!

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Reflections. Please help me

Marat540 [252]

Answer:

see the attachments

Step-by-step explanation:

I suggested to you on a different occasion that by using tracing paper or tissue paper, you could make a copy of the image that you could move in the desired way to find its new location.

Here, the first attachment shows the figure being drawn on a piece of tissue with the line of reflection and the axes origin also shown.

The second attachment shows the tissue flopped over and the origin and line of reflection aligned with their previous locations. The new location of the figure is fairly obvious.

For reflection, any point that was some distance from the line on one side will be reflected to the same distance from the line on the other side. The distance is measured perpendicular to the line.

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Comment on "the work"

I only have a badly focused image of your original worksheet to work from, but even that is sufficient to illustrate the process and the result. It took longer to make and edit the photos than to do the drawing necessary to find the answer.

8 0

3 years ago

(3-4i)(6i+7)-(2-3i)

Sergeu [11.5K]

Answer:

43-7i

Step-by-step explanation:

We are given the expression:

$\displaystyle \large{(3 - 4i)(6i + 7) - (2 - 3i)}$

First, expand 3-4i in 6i+7. To expand binomial with binomial, first we expand 3 in 6i+7 then expand -4i in 6i+7.

$\displaystyle \large{[(3 \cdot 6i) + (3 \cdot 7) + ( - 4i \cdot 6i) + ( - 4i \cdot 7)]- (2 - 3i)} \\ \displaystyle \large{[18i + 21 - 24 {i}^{2} - 28i]- (2 - 3i)}$

Now combine like terms.

$\displaystyle \large{[ - 10i+ 21 - 24 {i}^{2} ]- (2 - 3i)}$

Imaginary Unit

$\displaystyle \large{i = \sqrt{ - 1} } \\ \displaystyle \large{ {i}^{2} = - 1 }$

Therefore:-

$\displaystyle \large{[ - 10i+ 21 - 24 ( - 1) ]- (2 - 3i)} \\ \displaystyle \large{[ - 10i+ 21 + 24]- (2 - 3i)} \\ \displaystyle \large{[ - 10i+ 45]- (2 - 3i)}$