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2 years ago

Complete equation of the line through (1,4) and (2,2)

Mathematics

1 answer:

lions [1.4K]2 years ago

3 0

Answer:

y = -2x + 6

Step-by-step explanation:

y=mx + c

m is the gradient and c is the y intercept

m = (y 2 - y 1) / (x 2 - x 1) = (2-4) / ( 2-1) = -2

y= -2x + c

To find c, just sub one of the coordinates into the eqn:

By using the coordinates (1,4)

4 = -2(1) + c

c = 6

Therefore, the equation is y = -2x + 6

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3. Given: Circle Q <A = 35 Find: m AB

Agata [3.3K]

Answer: 110°

Step-by-step explanation:

∠A ≅ ∠B

since ∠A = 35° (given), then ∠B = 35°

Use the Triangle Sum Theorem to find ∠C:

∠A + ∠B + ∠Q = 180°

35° + 35° + ∠Q = 180°

70° + ∠Q = 180°

∠Q = 110°

The central angle (∠AQB) ≅ arc AB

since ∠AQB = 110° (solved above), then arc AB = 110°

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2 years ago

What expression is equivalent to 32

Alekssandra [29.7K]

Answer:

8x=32

Step-by-step explanation:

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2 years ago

Read 2 more answers

300 divided by 3 x 33

Airida [17]

300/3=100

100*33=3300

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3 years ago

Fgh is first translated using the rule x,y >x+3,y-1this is followed by a 90 degrees counter clockwise rotation centered at th

maw [93]

Answer:

Rule:

$h = (1 - y,x + 3)$

Step-by-step explanation:

I will answer generally, since the coordinates of f, g and h are not given

Given

Point: x, y

Translation Rule

1 : x + 3, y - 1

2: 90 degree counterclockwise

Required

Determine the new coordinates

At the first translation of (x,y) by x + 3, y - 1

The new point is: $(x + 3, y - 1)$

At the second translation (90 degrees counterclockwise)

When a point (x,y) is translated using this rule, it becomes (-y,x)

So, the new point is:

$h = (-(y - 1),x + 3)$

$h = (1 - y,x + 3)$

If the initial point of h is (2,3),

The new point is:

$h = (1 - 3, 2 + 3)$

$h = (- 2, 5)$

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avanturin [10]

Answer:

ʍouʞ ʇ,uop ᴉ ʇnq ʎɹɹos ɯ,ᴉ

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2 years ago