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pav-90 [236]
3 years ago
12

A system of equations consists of a line s of the equation y = x – 5 and a line t that passes through the points (0, 2) and (8,

–4). Answer the questions about line t to write the equation. What is the slope of line t? What is the y-intercept of line t? What is the equation in slope-intercept form of line t?
Mathematics
2 answers:
Anit [1.1K]3 years ago
9 0

Answer:

-0.75

2

y=-0.75x+2

Step-by-step explanation:

because e D g E n U i T y

GenaCL600 [577]3 years ago
5 0

Answer:

\text{The slope of the line t:}\ m=-\dfrac{3}{4}\\\\\text{The y-intercept of the line t:}\ b=2\\\\\text{The equation of a line t in the slope-intercept form:}\ y=-\dfrac{3}{4}x+2

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept → (0, b)

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (8, -4) and (0, 2) → b = 2.

Calculate the slope:

m=\dfrac{2-(-4)}{0-8}=\dfrac{6}{-8}=-\dfrac{3}{4}

Therefore the equation of a line t in the slope-intercept form is:

y=-\dfrac{3}{4}x+2

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Ipatiy [6.2K]

Answer:

x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}

Step-by-step explanation:

2x^2 - 10x - 3 = 0 \\\\a = 2 \ , b = - 10 \ , \ c =  - 3 \\\\x = \frac{-b^2\  \pm \ \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{10 \ \pm \sqrt{(-10)^2 - ( 4 \times 2 \times -3)} }{2 \times 2}\\\\x = \frac{10 \ \pm \sqrt{(100 - ( -24 )} }{4}\\\\x = \frac{10 \ \pm \sqrt{(100 + 24 } }{4}\\\\x = \frac{ 10 \ \pm \sqrt{124}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{4 \times 31}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{2^2 \times 31}}{4}\\\\x = \frac{ 10 \ \pm2 \sqrt{31}}{4}\\\\x = \frac{ 5 \ \pm\sqrt{31}}{2}\\\\

x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}

3 0
2 years ago
Which describes the correct way to convert minutes hours
masha68 [24]

60 minutes=1 hour, so to convert minutes to hours,<em> divide by 60.</em>


5 0
3 years ago
Read 2 more answers
The Fun Committee is hosting the Annual City Festival. Jennifer is in charge of the committee and is planning a race to raise mo
nadya68 [22]

Answer: Hello your question some data but i will provide a general solution based on the scope of your question making some suggestions as well

answer : Summation of displacements ( back and forth distance ) / Number of Runners

Step-by-step explanation:

Given that ; the aim of the race is to raise money

The number of miles/ distance covered will determine how much money that would be raised

Formula to resolve the problem =  Summation of displacements ( back and forth distance ) / Number of Runners

<em>Lets assume: ( example ) </em>

<em> Distance between the Park and the City hall is = 6 miles </em>

<em>Number of runners = 4</em>

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4 0
3 years ago
The length of a rectangle is 3 more than five times its width. If the perimeter of
AleksandrR [38]

Answer:

Image result for The length of a rectangle is 3 more than five times its width. If the perimeter of the rectangle is 30 meters, find the dimensions of the rectangle.

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

6 0
2 years ago
PLEASE HELP ASAP DUE IN 3 MINUTES
Inga [223]

Answer:

<u>1728 in²</u>

Step-by-step explanation:

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For the height, you would need to do: 144 - 36 - 24 - 36 = <u>48 inches</u>

For the base, you would need to do: 60 - 24 = <u>36 inches</u>

Now you multiply the base and height to get the area: 48 x 36 = <u>1728 in²</u>

7 0
2 years ago
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