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cestrela7 [59]
3 years ago
6

(Will try to mark brainliest)Use similar triangles to determine the equation of the line with a slope of 1/2 that passes through

the point (0, 2).
1
2
=
y − 2
x

What is the equation of the line in slope-intercept form?

Mathematics
1 answer:
Damm [24]3 years ago
3 0

Answer:

A

Step-by-step explanation

Use similar triangles to determine the equation of the line with a slope of 1/2 that passes through the point (0, 2).

1

2

=  

y − 2

x

What is the equation of the line in slope-intercept form?

✔ y = (1/2)x + 2

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The vertices of a triangle are (-1,3) (6,3) and (-1,-4)
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Answer:

24.5 unit²

Step-by-step explanation:

Area of ∆

= ½ | x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂) |

= ½ | (-1)(3 -(-4)) + 6(-4 -3) + (-1)(3 - 3) |

= ½ | -7 - 42 |

= ½ | - 49 |

= ½ (49)

= 24.5 unit²

<u>Method 2:</u>

Let the vertices are A, B and C. Using distance formula:

AB = √(-1-6)² + (3-3)² = 7

BC = √(-6-1)² + (-4-3)² = 7√2

AC = √(-1-(-1))² + (4-(-3))² = 7

Semi-perimeter = (7+7+7√2)/2

= (14+7√2)/2

Using herons formula:

Area = √s(s - a)(s - b)(s - c)

here,

s = semi-perimeter = (14 + 7√2)/2

s - a = S - AB = (14+7√2)/2 - 7 = (7 + √2)/2

s - b = (14+7√2)/2 - 7√2 = (14 - 7√2)/2

s - c = (14+7√2)/2 - 7 = (7 + √2)/2

Hence, on solving for area using herons formula, area = 49/2 = 24.5 unit²

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2 years ago
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TheUnited States geological survey suggests that loss of wetlands on Louisiana coast occurs at a constant rate for the Time peri
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Answer:

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Step-by-step explanation:

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3 years ago
Corinne and Aretha are having a 26-mile race. Corinne gave Aretha a head start by letting her begin 3.5 miles in front of the st
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From the table, the speed of Corinne is given by

speed=slope= \frac{2.5-1.25}{20-10} = \frac{1.25}{10} =0.125 \ miles / minute

From the graph, the speed of Aretha is given by

speed=slope= \frac{5.5-4.5}{20-10} = \frac{1}{10} =0.1 \ miles / minute

The distance from the starting point of Corinne at any time t is given by D = 0.125t while the distance from the starting point of Aretha at any time t is given by D = 3.5 + 0.1t

Let t be the number of minutes after the start of the race when Corinne catchs Aretha, then

0.125t = 3.5 + 0.1t
0.025t = 3.5
t = 3.5 / 0.025 = 140

Therefore, the number of <span>minutes after the start of the race that Corinne will catch Aretha</span> is 140 minutes.
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12 of $20 and 3 of $50 totally didnt edit it... lolol..

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