A line has a y-intercept of -5 and passes through the point (-3, 1). write the equation of the line.

Answers

Answer 1

Answer: ax+c=y
x=-3 and y=1
-3a-5=1
a=-2

y intercept—> x=0 y=c=-5

Answer 2

Answer:

Final answer:

The slope can be found using the coordinates of the given point and the y-intercept. The equation of the line is y = -2x - 5.

Explanation:

To write the equation of a line with a given y-intercept and a point, we can use the slope-intercept form:

y = mx + b.

The y-intercept is -5, so the equation becomes:

y = mx - 5.

We also know that the line passes through the point (-3, 1). To find the slope (m), we can use the formula:

m = (y2 - y1) / (x2 - x1). Substituting the coordinates, we get:

m = (1 - (-5)) / (-3 - 0)

= 6 / -3

= -2.

Plugging the slope and y-intercept into the equation, the equation of the line is: y = -2x - 5.

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Sharon’s turtle escaped from her backyard sometime in the last few hours. According to her calculations, the farthest the turtle could have gone is 4 blocks down the road in either direction. If Sharon lives on the 112th block of town, which equation can be used to find the block numbers that represent the farthest distance that the turtle may be?

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The farthest distance of the turtle can be solved with the following equations:

x = 112 + 4
x = 112 - 4

By solving the equations, we conclude that the turtle can be found either in the 116th block or the 108th block.

Answer:

its B :)

Step-by-step explanation:

Write the following Arithmetic Sequence using a Recursive Formula: an = -5 + 2(n – 1)

Answers

Given:

$a_n=-5+2(n-1)$

To find:

The arithmetic sequence using a Recursive Formula.

Solution:

We have,

$a_n=-5+2(n-1)$ ...(i)

The explicit formula of an AP is

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

where, a₁ is first term and d is common difference.

From (i) and (ii), we get

$a_1=-5,d=2$

Now, the recursive formula of an AP is

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

Putting d=2, we get

$a_n=a_(n-1)+2$

Therefore, the arithmetic sequence using a Recursive Formula is defined as $a_n=a_(n-1)+2$ , where n>2 and $a_1=-5$ .

Final answer:

The arithmetic sequence given by the recursive formula is an = -5 + 2(n - 1). Each term in the sequence can be found by substituting the corresponding value of n into the formula.

Explanation:

An arithmetic sequence is a sequence of numbers in which the difference between two consecutive terms is constant. In this case, the recursive formula for the arithmetic sequence is given as an = -5 + 2(n - 1).

To find any term in the sequence, substitute the value of n into the formula. For example, to find the first term (a1), plug-in n = 1. The formula becomes a1 = -5 + 2(1 - 1) which simplifies to a1 = -5.

Similarly, to find the second term (a2), plug-in n = 2. The formula becomes a2 = -5 + 2(2 - 1) which simplifies to a2 = -3. Continuing this pattern, each term in the sequence can be found by substituting the corresponding value of n into the formula.

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Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropriate formula.The perimeter is 70ft . and the width is 16ft .

Answers

Answer:

Step-by-step explanation:

Givens

P = 2*L + 2*W

P = 70

w = 16

Solution

70 = 2L + 2*16

70 = 2L + 32

70-32 = 2L

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38/2 = 2L/2

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Answers

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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