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earnstyle [38]
2 years ago
5

Select the correct answer.

Mathematics
1 answer:
In-s [12.5K]2 years ago
5 0

Answer:

5-46i

Step-by-step explanation:

first multiply your (10-4i)(4-5i) so that would be 20-66i when simplified. then add that to -15+20i so it would look like 20-66i+(-15+20i). then simplify and you should get 5-46i.

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A family on vacation records the time in hours) and the distance (in miles) that they travel. The data are shown in the scatter
nata0808 [166]

Answer:

In the first 3.5 hours, the family travelled 175 miles.

Step-by-step explanation:

We have the table:

time (hours)              distance ( miles)

      0                                   0

      1                                   50

       2                                 100

      3                                  150

      4                                 200

      5                                 250

      6                                 300

      7                                 350

      8                                 400

      9                                 450

This seems like a linear relationship, let's write the general line:

y = a*x + b

That represents this situation, y is the distance in miles and x is the time in hours.

In the line equation, a represents the slope and b the y-intercept.

And if the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we have a lot of points for the line, we can use any pair we want (we actually should use a few different pairs to see that the slope is always the same)

So if we use the first two (0, 0) and (1, 50)

the slope is:

a = (50 - 0)/(1 - 0) = 50

Now, if we use the third and fifth points (4, 200) and (5, 250) now the slope is:

a = (250 - 200)/(5 - 4) = 50/1 = 50

So we can conclude that the slope of the equation is a = 50

Then the equation is something like:

y = 50*x + b

To find the value of b, we can use any of the points of the line, for example (0, 0)

This means that when x = 0, y also must be 0, then:

0 = 50*0 + b

0 = b

Then the equation is:

y = 50*x

Now, to answer how many miles the family travelled in the first 3.5 hours, we just need to replace x by 3.5 in the equation:

y = 50*3.5 = 175

In the first 3.5 hours, the family travelled 175 miles.

6 0
3 years ago
What does n equal to in 12n + 9 = 6 - 3n
sveticcg [70]
12n+9=6-3n\ \ \ \ \ \ |Add\ 3n\ to\ each\ side\\\\
15n+9=6\ \ \ \ \ |Subtract\ 9\\\\
15n=-3\ \ \ \ \ |Divide\ by\ -15\\\\
n=-\frac{3}{15}=\boxed{-\frac{1}{5}}
6 0
3 years ago
Find the percent change from $20 to $25
Viktor [21]

Answer:

20%decrease

Step-by-step explanation:

sorry I'm bad at explaining things

5 0
3 years ago
Point G is located at (6, 2) on the coordinate plane. Point G is reflected over the y -axis to create point G^ prime . What orde
Lilit [14]

Answer:

The ordered pair that best describes the location of G' is (-6,2).

Step-by-step explanation:

Reflecting a point over the y-axis:

When a point (x,y) is reflected over the y-axis, it's x coordinate is multiplied by -1, while the y-coordinate stays the same. Thus:

(x,y) -> (-x,y).

Point G is located at (6, 2)

When reflected over the y-axis:

G'(-6,2).

The ordered pair that best describes the location of G' is (-6,2).

5 0
2 years ago
Write a multiplication equation with 1/2 as a factor (EXPLAIN)
jolli1 [7]

16 BECAUSE YOU  ADD THE CUT UP APPLES AND MAKE IT A FRACTION
4 0
3 years ago
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