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2 years ago

What is the point-slope form of a line that has a slope of -4 and passes through point (-3, 1)?

Mathematics

1 answer:

andrew11 [14]2 years ago

3 0

Answer:

B. y - 1 = -4[x - (-3)]

Step-by-step explanation:

Given:

Slope = -4

Point = (-3, 1)

Required:

Point-slope form of the line

Solution:

Equation of a line in Point-slope form is given as y - b = m(x - a).

Where,

a = -3

b = 1

m = -4

Plug in the values

y - 1 = -4[x - (-3)]

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Kenny's scores the first 5 times he played a video game are listed below. 38, 51, 64, 77, 90 Kenny's scores follow a pattern. If

gayaneshka [121]

Kenny's score on his 72nd game played is 961

Solution:

Given that the first 5 score of Kenny are listed below:

38, 51, 64, 77, 90

Kenny's scores follow a pattern

To find: Kenny's score on his 72nd game played

Let us first find the pattern followed

38, 51, 64, 77, 90

Find the difference between terms

51 - 38 = 13

64 - 51 = 13

77 - 64 = 13

90 - 77 = 13

So the difference between terms is constant

So the sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

The formula for nth term of arithmetic sequence is given as:

$a_n = a_1 + (n-1)d$

$a_n$ = the nᵗʰ term in the sequence

$a_1$ = the first term in the sequence

d = the common difference between terms

Here d = 13 and $a_1 = 38$

So we get,

$a_n = 38 + (n-1) \times 13$

To find the score of 72nd game, substitute n = 72

$a_{72} = 38 + (72-1) \times 13\\\\a_{72} = 38 + 71 \times 13\\\\a_{72} = 38 + 923\\\\a_{72} = 961$

Thus Kenny's score on his 72nd game played is 961

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2 years ago

A model of a car has a scale of 3 cm : 2 m. The length of the actual hood of the car is 1 m. What is the length of the hood of t

Lubov Fominskaja [6]

So basically 3cm is the model and 2 m is the actual size. So the hood is 1m so it is half of 2m which means the answer to the question is 1.5cm

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Which is heavier 9 5/8 or 9 3/4 pounds

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Answer:

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Pachacha [2.7K]

Answer:

Step-by-step explanation:

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