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erik [133]
2 years ago
11

Enter the slope-intercept equation for the image of line ℓ after a clockwise rotation of 90°. (Hint: To find the image of line ℓ

, choose two or more points on the line and find the images of the points.)​

Mathematics
1 answer:
Free_Kalibri [48]2 years ago
7 0

Answer:

y = -2x - 2

Step-by-step explanation:

From the graph attached,

If the line 'l' passes through two points A(0, -1) and B(4, 1).

Rule for the rotation of any point (x, y), 90° clockwise about the origin is,

(x, y) → (y, -x)

By this rule,

A(0, -1) → A'(-1, 0)

B(4, 1) → B'(1, -4)

Let the equation of the line A'B' is,

y - y' = m(x - x')

where m = slope of the line A'B'

And (x', y') is a point lying on the line.

Slope of the line passing through A' and B' will be,

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

m = \frac{0+4}{-1-1}

m = -2

Therefore, equation of the line passing through (-1, 0) and slope = -2,

y - 0 = (-2)(x + 1)

y = -2x - 2

So the equation of the line after rotation of lie 'l' by 90° clockwise will be,

y = -2x - 2

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I think the answer is the second choice.
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2 years ago
Subtract. Write your answer in simplest form. 8 7/10- 3 4/10
Misha Larkins [42]

Answer:

Exact form: 53/10 , Decimal form: 5.3 , Mixed number form: 5 3/10

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
3. A warehouse holds 7,140 shoeboxes. Each aisle holds the same number of
s2008m [1.1K]

Answer:

1) b, c, d

2) d

3) a, c, d

Step-by-step explanation:

Just find the number that can divide by the whole. Say the question was

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If there were 4 rooms, 5 pets would be in each. 20÷4=5. 4 goes into 20 so 4 could be an answer.

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4 0
2 years ago
URGENT! PLEASE HELP.
uysha [10]

Answer: a) BC = 1386.8 ft

b) CD = 565.8 ft

Step-by-step explanation:

Looking at the triangle,

AD = BD + 7600

BD = AD - 7600

Considering triangle BCD, we would apply the the tangent trigonometric ratio.

Tan θ = opposite side/adjacent side. Therefore,

Tan 24 = CD/BD = CD/(AD - 700)

0.445 = CD/(AD - 700)

CD = 0.445(AD - 700)

CD = 0.445AD - 311.5 - - - - - - - -1

Considering triangle ADC,

Tan 16 = CD/AD

CD = ADtan16 = 0.287AD

Substituting CD = 0.287AD into equation 1, it becomes

CD = 0.445AD - 311.5

0.287AD = 0.445AD - 311.5

0.445AD - 0.287AD = 311.5

0.158AD = 311.5

AD = 311.5/0.158

AD = 1971.52

CD = 0.287AD = 0.287 × 1971.52

CD = 565.8 ft

To determine BC, we would apply the Sine trigonometric ratio which is expressed as

Sin θ = opposite side/hypotenuse

Sin 24 = CD/BC

BC = CD/Sin24 = 565.8/0.408

BC = 1386.8 ft

4 0
3 years ago
Subtract the following complex numbers: (10-8i)-(13-10i) ??
patriot [66]

⇒ (10 - 8i) - (13 - 10i)

⇒ 10 - 8i - 13 + 10i

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Option A is the Answer

3 0
3 years ago
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