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Liula [17]
2 years ago
13

Which can be the first step in finding the equation of the line that passes through the points (5, negative 4) and (negative 1,

8) in slope-intercept form?

Mathematics
2 answers:
MrMuchimi2 years ago
8 0

Answer:

The equation of the line is y = -2x + 6

Step-by-step explanation:

The first step in finding the equation of the line is plotting the points. The next step is to go up 12 units from the bottom point to reach the second point. Then, go left 6 units to find the difference in x-values. Finally, use the slope to connect the points with a line.

I graphed the points and the line on the graph below.

Westkost [7]2 years ago
3 0

Answer:

Below.

Step-by-step explanation:

I can't see a list of first steps but it should be finding the slope of the line:

The slope = rise / run

= (-8 - (-4) / (1 - 5) = -4/-4 = 1.

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An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up. The
Nikolay [14]

The length of the ladder nearest hundredth of a foot is 23 feet.

We have given that,

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up.

The ladder makes an angle of 77^{\circ}  the ground.

<h3>What is the sin ratio?</h3>

sin(\theta)=\frac{perpendicular \ side}{hypotenous}

Therefore we get,

\implies\frac{22}{H} =sin(77)

\implies H=22/sin(77)

\implies 22.59ft\\\\=23ft

Therefore, The length of the ladder nearest hundredth of a foot is 23 feet.

To learn more about the trigonometric ratio visit:

brainly.com/question/24349828

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7 0
1 year ago
Timothy made 60 quarts of cider. He poured the cider into containers. Each container holds 4/11 of a quart. How many containers
VLD [36.1K]
165 because 660/4 = 165
8 0
2 years ago
2. There is a 50% chance that Elaine will be late to school, a 40% chance that she will be late to
Verdich [7]

Answer:

50%

Step-by-step explanation:

Given that:

P(late) = P(L) = 50% = 0.5

P(Eat) = P(E) =?

P(LnE) = 40% = 0.4

P(LuE) = 60% = 0.6

P(LuE) = P(L) + P(E) - P(LnE)

0.6 = 0.5 + x - 0.4

0.6 = 0.1 + x

0.6 - 0.1 = x

0.5 = x

P(E) = 0.5

0.5 * 100% = 50%

8 0
3 years ago
Factor the expression completely.<br>562 – 32​
Dimas [21]

Answer:

530

Step-by-step explanation:

562 - 32 = 530

8 0
3 years ago
Read 2 more answers
There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing supervisor; position 2 is the ni
Stels [109]

Answer:

There are 1716 ways the three positions can be filled by these applicants.

Step-by-step explanation:

Permutation is the number of arrangement of <em>k</em> items from <em>n</em> distinct items.

^{n}P_{k}=\frac{n!}{(n-k)!}

For example, permutation can be used to compute the number of ways to arrange 4 mathematics books together when arranging all the 7 books on a shelf.

In this case there are 3 available nursing positions to be filled.

A total of 13 candidates are qualified for all the three positions.

Then the number of ways the 3 positions can be filled by the 13 candidates can be determine using permutation.

Compute the possible number of selections as follows:

^{13}P_{3}=\frac{13!}{(13-3)!}=\frac{13!}{10!}=\frac{13\times 12\times 11\times 10!}{10!}=1716

Thus, there are 1716 ways the three positions can be filled by these applicants.

3 0
2 years ago
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