Question 16 (1 point)
(02.06)
Simplify (3 + 2i )(7 - 5i). (1 point)
1) 21 - 10i²
2) 11-i
3) 21 - i - 10i²
4) 31-i

Answer: PI to the thousandth digit is 8.

Step-by-step explanation: Since 9 is the last digit in PI, and 3 is the digit at the beginning of PI, then that means that 8 is PI to the thousandth digit.

Answer:

Step-by-step explanation:

If two lines are parallel then they will have the same slope. So all you need to do is find the slope of the line that joins the two given points. You can use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. You can also graph the two points and use rise over run. [tex]\frac{7-(-5)}{-5-7} =\frac{12}{-12}=-1[/tex]

-1  is the slope of a line that is parallel to the line joining (7,-5) and (-5,7)

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given, a line that is parallel to the line joining (7,-5) and (-5,7)

Since lines are parallel to each other thus their slope will be the same.

From the general formula of slope:

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (7 + 5)/ -5 - 7)

Slope = -1

Therefore, the slope of a line that is parallel to the line joining (7,-5) and (-5,7) is -1.

Learn more about Linear equations here:

https://brainly.com/question/11897796

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Answer:

0.000002

Step-by-step explanation:

2* 10^-6

is the same as

2 * 0.000001

which is

0.000002

Answer:

The answer is: 0.000002

Step-by-step explanation:

Have a great day!

Answer:

x = 1/4

Step-by-step explanation:

remove the parenthesis

collec like terms

caculate

move constant to the right

calculate

divide both sides

Answer: in the second ratio, the number of people is the denominator. It should be the numerator to match the first ratio.

Answer:

the denominator in 6/9.75 is incorrect

Step-by-step explanation:

find unit rate then x 24 numerator. 24 the denominator,

the denominator in 6/9.75 is incorrect.

Answer:

-8

Step-by-step explanation:

Answer:

12 dimes, 10 nickels

Step-by-step explanation:

12x10=120 or in this case $1.20

10x5=50 or $0.50

50+120=170 or $1.70

Sorry if any of it is wrong, I am doing this in the car and in my head

Answer:

$1008.9

Step-by-step explanation:

Given

Cost of piece of art = $885

Percent profit made = 14%

Profit amount = 14% of $885

Profit amount = 14/100×885

Profit amount = 12390/100

Profit amounts to $123.90

Selling price = cost price + profit amount

Selling price = $885+$123.90

Selling price = $1008.9

Hence the selling price for the art at the gallery is $1008.9

Answer:

$1008.9

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i did the math

Answer:

74%

Step-by-step explanation:

Given that :

Total number of questions = 50

Total correct prediction :

Correct and right prediction = ( 31 - 6) = 25

Correct wrong prediction = 12

Total correct predictions = (25 + 12) = 37

Percentage prediction accuracy :

(Total correct prediction / total questions) * 100%

(37/ 50) * 100%

0.74 * 100%

= 74%

Answer:

1)There has just been a dilation and translation of the first triangle to get to the second. Their hypotenuses have the same slope of +1.

2)There has just been a dilation since they are on about the same points of the line with a slope of  1  1/2.

3)They are related because they are both on the line with a slope of -3/2

4)Only a translation happened since they are the same size and are on the same line that has a slope of 2/3

Step-by-step explanation:

Answer:what it is

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Most of this exercise is looking at different ways to identify the slope of the line. The first attachment shows the corresponding "run" (horizontal change)  and "rise" (vertical change) between the marked points.

In your diagram, these values (run=1, rise=-3) are filled in 3 places. At the top, the changes are described in words. On the left, they are described as "rise" and "run" with numbers. At the bottom left, these same numbers are described by ∆y and ∆x.

The calculation at the right shows the differences between y (numerator) and x (denominator) coordinates. This is how you compute the slope from the coordinates of two points.

If you draw a line through the two points, you find it intersects the y-axis at y=4. This is the y-intercept that gets filled in at the bottom. (The y-intercept here is 1 left and 3 up from the point (1, 1).)

Answer:

u' = (-1, -4) , v' = (2, -4), w' = (2, -7)

Step-by-step explanation:

Answer:

-3 is the answer because if we divide 15 by 5 we get 3 . So it is same only the question is -15 divide by 5 so the answer is -3

Answer:

The answer is A,C,D

Step-by-step explanation:

Just had the question :D

Answer:

2,391 paid altogether. The interest Rate was another 391 dollars.

Step-by-step explanation:

Answer:

Well a base with a positive exponent would be 5^3. All this means is 5x5x5 which is 125.

Step-by-step explanation:

Hope this helps!

Answer:

Look below

Step-by-step explanation:

To find a slope with 2/5, you can use y2 - y1/x2 - x1. The 1 and 2's can be different but you cannot mistake the x and y.

1st example:

(1, 5), (6, 7)

Reason: (7-5)/(6-1) = 2/5

2nd example:

(2, 8), (7, 10)

Reason: (10 - 8)/(7 -2) = 2/5

3rd example:

(5, 2), (10, 4)

Reason: (4-2)/(10 -5) = 2/5

Hope this helped!!!!!

Answer:

There were 135 adults that were served.

Step-by-step explanation:

Let's use c for child's cost and a for adult's cost.

The total amount is 1347.50. With this, we can create an equation to solve for adults.

a + c = 250

3.50c + 7a = 1347.50

Using system of equations, we can plug in values to get our answer.

c = 250 - a

3.50(250 - a) + 7a =

875 - 3.5a + 7a =

3.5a = 472.5

135 = a

115 = c (when you plug a into the equations)

There were 135 adults that were served.

Answer:

135

Step-by-step explanation:

x = number of child's plate

y= number of adult's plate

x+y=250 => 1

3.50x+7y=1347.50 => 2

Multiplying equation 1 by 3.50,

3.50x+3.50y=875 =>

Subtracting equation 3 from equation 2,

3.50x +7y - 3.50x - 3.50y = 1347.50 - 875

3.50y = 472.50

y= 135

Answer:

opposite half-planes – the two half-planes that are separated by a particular line of the plane. If points Y and Z are in opposite half-planes, the segment joining them must intersect the edge.

Step-by-step explanation:

Answer:

936 miles in 13 hours.

Step-by-step explanation:

if you divide 792 by 11 you get 72, which is the unit rate. You multiply that by thirteen and it is the answer 936.

Answer:

936 miles

Step-by-step explanation:

Answer:

3.00

Step-by-step explanation:

Answer:

3.00

Step-by-step explanation:

Since three is a whole number, that means it would be in front of the decimal.

Answer:

The second one is 3,000 x 8,000 = 24,000,000 The first one is 700 x 100 = 70,000 then the third is 400 x 9,000 = 6,600,000 And the last is  9,000 x 57,000 = 513,000,000

Step-by-step explanation:

Answer:

t=19.94841\approx 19.9 \text{ years}

t=19.94841≈19.9 years

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

rise/run is the slope

Answer:

$30,170.36

Step-by-step explanation:

I'm good at math, and I double checked with someone... I am perfectly sure that $30,170.36 is the answer.

Answer:

2

Step-by-step explanation:

Let's denote all the four square by 1, 2, 3, and 4 as shown in the figure.

Each of the small squares is to be painted either green or red

The total numbers of the possible cases are:

(1) The number of cases if there is no green color square = 1 (all red)

(2) The number of cases, if there is 1 green color square = 4 as either of 4 small squares can be green (1G,2G,3G,4G).

(3) The number of cases if there is 2 green color square = 2+4=6 as

(4) The number of cases, if there is 3 green color square = The number of cases, if there is 1 red color square= 4 as either of 4 small squares can be red (1R,2R,3R,4R).

(5) The number of cases if there is 4 green color square = 1 (all green)

So, the total numbers of possible cases = 1+4+6+4+1=16.

Now, possible positions for which no green square shares its top or right side with any red square are the diagonal positions as mentioned in point (3), i.e (1G,3G), (2G,4G)

So, the total numbers of favorable cases = 2

Hence the total number of different ways for painting each of the small squares so that no green square shares its top or right side with any red square is 2.

I listed possibilities:

1 Green Square:

RG

RR

2 Green Squares:

RG

RG

GG

RR

3 Green Squares

GG

RG

4 Green Squares

GG

GG

0 Green Squares

RR

RR

Answer:

3 and 5

Step-by-step explanation:

If you do the vertical line test those ones do not pass. The vertical line test is the test you do to see if it is a function. You draw a vertical line and if that line crosses the graphed line only once it is a function.