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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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3 years ago
when a car speed is 24 km/hr a journey takes 80 minutes what must the speed be for the same journey to take 60 minutes?
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Step-by-step explanation:

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3 years ago
Find the length of the longest side of the rectangle whose vertices are given. a(2, 1), b(5, 4), c(0, 3), d(3, 6)
aleksandr82 [10.1K]
First, you plot the coordinates to visualize the problem clearly. As you can see in the picture, the longest sides could either be one of those marked in red. This could be initially determined when you use visual estimation. We measure this using the distance formula: d = √[(x2-x1)^2 + (y2-y1)^2)]

Between coordinates (0,3) and (3,6)
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Between coordinates (2,1) and (5,4)
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3 years ago
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uysha [10]
I'm not sure how you obtained -5 as your answer but this is the mathematical explanation. hope this helps!
{x}^{2}  + 3x = 40 \\  {x}^{2}  + 3x - 40 = 0 \\(x + 8)(x - 5) = 0 \\ x =  - 8 \\ x = 5
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3 years ago
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