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Fynjy0 [20]
3 years ago
12

Which of the following is the equation of a line parallel to the line y = 3x + 2,

Mathematics
1 answer:
earnstyle [38]3 years ago
3 0

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 is in this form with slope m = 3

• Parallel lines have equal slopes, hence

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (10, 1) into the partial equation

1 = 30 + c ⇒ c = 1 - 30 = - 29

y = 3x - 29 ← in slope- intercept form

Subtract y from both sides

0 = 3x - y - 29 ( add 29 to both sides )

29 = 3x - y, thus

3x - y = 29 ← in standard form → B

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Step-by-step explanation:

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3 years ago
Question 6: Simplify the expression 48-5+7X3<br>О А 16<br>O B 64<br>O C 150<br>O D 22​
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Answer: B. 150
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7 0
3 years ago
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Which of the following represents the value of the missing side?
igomit [66]

Answer:

The value of the missing side is x=2\ units

Step-by-step explanation:

In this problem i assume that the length side x is tangent to the circle

so

the length side x is perpendicular to the radius

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we have that

(1.5+1)^{2}=1.5^{2}+x^{2}

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(2.5)^{2}=1.5^{2}+x^{2}

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7 0
4 years ago
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Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8.
Reil [10]

In this problem, given the focus at (2,4) and directrix at y = 8. then it is implied that the parabola is facing downwards. The vertex hence is at the middle of the focus and the directrix, hence at (2, 6). The general formula of the parabola is y-k = -4a  ( x-h)^2. Substituting, y -6 = -1/8 *(x-2)^2. Answer is A. 
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The design of a nomadic tribal rug is shown, where m&lt;AED=34° and m&lt;EAD=112°
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The required angle m∠ADB  of the nomadic tribal rug is 112°

Given, that in ΔAED and ΔBDC,

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To find m∠ADB

By using the angle sum property of a triangle, which states that the sum of interior angles of a triangle is 180°.

Therefore in ΔAED,

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or,    m∠ADE + 146° = 180°

or,       m∠ADE    = 34°

Similarly, m∠BDC = 34°

Now, by using the sum of linear pair of angles,

m∠ADE + m∠ADB + m∠BDC = 180°

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To learn more about linear pair of angles, visit: brainly.com/question/26555759?referrer=searchResults

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