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ivanzaharov [21]
3 years ago
14

What is the equation of the line that passes through the points (2, -4) and (-6, 6)?​

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0

Answer:

y = -5/4x - 3/2

Step-by-step explanation:

y2 - y1 / x2 - x1

6 - (-4) / -6 - 2

10 / -8

= -5/4

-4 = -5/4(2) + b

-4 = -5/2 + b

-3/2

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A deep-sea diver dived off a boat to a depth of -45 feet. What is the absolute value that expresses the distance the diver went?
Vlad1618 [11]

45 feet.

Absolute value is the distance of a number from 0. Say 0 is the surface of the ocean, then the diver is 45 feet away from it. Either from above or below, they are the same distance away.

7 0
2 years ago
One month Yoko rented 3 movies and 5 video games for a total of $40. The next month she rented 9 movies and 7 video games for a
KATRIN_1 [288]

Answer:

  • movie: $3.75
  • video game: $5.75

Step-by-step explanation:

Two equations in two unknowns can be written:

  3m +5v = 40

  9m +7v = 74

These can be solved a variety of ways. One of them is using Cramer's rule. It tells you the solution to

  • ax +by = c
  • dx +ey = f

is given by ...

  • ∆ = bd -ea
  • x = (bf -ec)/∆
  • y = (cd -fa)/∆

For the numbers above,

  • ∆ = 5·9 -7·3 = 24
  • m = (5·74 -7·40)/24 = 90/24 = 3.75
  • v = (40·9 -74·3)/24 = 138/24 = 5.75

The rental cost for each movie is $3.75; for each video game, it is $5.75.

___

The attached graph shows a graphing calculator solution to these equations.

5 0
3 years ago
A certain process for removing copper from copper bearing ore had been in use for a period of time, and it is known that this pr
Anika [276]

Answer:

d. Ore treated with the new process.

Step-by-step explanation:

This is a common practice in statistics, in which we use a sample of a population to infer something about the entire population. We should use a sample of 100.

For example, if we want to know the proportion of residents of Buffalo, New York, who are Bills fans, we are going to take a sample of like, 100 residents, and then use this to estimate for the entire city.

In this problem, we have that:

A new process that is supposed to increase the recovered amount is being tested. In a simple random sample of 100 batches of ore, an average of 42 pounds per ton were recovered using the new process.

So the population of interest is the ore treated with new process. We use a sample of 100 to gather information about the entire population.

So the correct answer is:

d. Ore treated with the new process.

5 0
3 years ago
Faith paid $25.10 for a newspaper ad. The newspaper charged $5.02 for 3 lines of print. How many lines was the ad?
adell [148]
The ad was around 15 lines.
25.10/5.02 = 5
and then 5 * 3 = 15 lines
3 0
3 years ago
Read 2 more answers
Supplementary angles are angles whose son is 180. To supplementary angles are such that one angle is 4° less than three times th
zzz [600]

Answer:

The measures of angle are 46 degrees and 134 degrees.

Step-by-step explanation:

We are given the following in the question:

Let the measure of one the of the supplementary angles be x degrees.

Measure of other angle =

(3x-4)\text{ degrees}

Since, the two angles are supplementary, their sum is 180 degrees.

Thus, we can write and solve the equation:

x + (3x-4) = 180\\4x = 184\\x = 46\\(3x-4) = 134

Thus, the measures of angle are 46 degrees and 134 degrees.

7 0
2 years ago
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