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igor_vitrenko [27]
3 years ago
11

A line passes through the points (1, 4) and (3, 4). Which is the equation of the line?

Mathematics
1 answer:
xeze [42]3 years ago
8 0

Answer:

y = -4x + 8

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step 1: Find slope <em>m</em>

<em />m=\frac{-4-4}{3-1}<em />

<em />m=\frac{-8}{2}<em />

m = -4

y = -4x + b

Step 2: Find y-intercept <em>b</em>

4 = -4(1) + b

4 = -4 + b

8 = b

Step 3: Rewrite linear equation

y = -4x + 8

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In the figure above, the vertices of square
Olin [163]

(C) 6 + 3√3

<u>Explanation:</u>

Area of the square = 3

a X a = 3

a² = 3

a = √3

Therefore, QR, RS, SP, PQ = √3

ΔBAC ≅ ΔBQR

Therefore,

\frac{BQ}{BA} = \frac{QR}{AC}

\frac{BQ}{BA} = \frac{\sqrt{3} }{BA}

In ΔBAC, BA = AC = BC because the triangle is equilateral

So,

BQ = √3

So, BQ, QR, BR = √3 (equilateral triangle)

Let AP and SC be a

So, AQ and RC will be 2a

In ΔAPQ,

(AP)² + (QP)² = (AQ)²

(a)² + (√3)² = (2a)²

a² + 3 = 4a²

3 = 3a²

a = 1

Similarly, in ΔRSC

(SC)² + (RS)² = (RC)²

(a)² + (√3)² = (2a)²

a² + 3 = 4a²

3 = 3a²

a = 1

So, AP and SC = 1

and AQ and RC = 2 X 1 = 2

Therefore, perimeter of the triangle = BQ + QA + AP + PS + SC + RC + BR

Perimeter = √3 + 2 + 1 + √3 + 1 + 2 + √3

Perimeter = 6 + 3√3

Therefore, the perimeter of the triangle is 6 + 3√3

8 0
3 years ago
2x&lt;2 as an inequality
SpyIntel [72]
2x<2
_   __
2   2
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8 0
3 years ago
Read 2 more answers
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valentina_108 [34]

Answer:

Step-by-step explanation:

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7 0
3 years ago
Micah jogged 8/10 of a mile. Sarah jogged 3 times this distance. How far did Sarah jog? Explain
bogdanovich [222]

Answer:

2.4 miles or 12/5 miles

Step-by-step explanation:

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it leaves us with

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5 0
3 years ago
5: it says to solve using trigonometry but i’m confused on it
Tatiana [17]
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8 0
3 years ago
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