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Cloud [144]
3 years ago
8

Write the equation of the line that is parallel to the given segment and that passes through the point (-3,0).

Mathematics
1 answer:
grandymaker [24]3 years ago
5 0

Answer:

Option (B)

Step-by-step explanation:

In the figure attached,

A straight line is passing through two points (0, 2) and (3, 1).

Slope of this line (m_1) = \frac{y_2-y_1}{x_2-x_1}

                                   = \frac{2-1}{0-3}

                                   = -\frac{1}{3}

Let the slope of a parallel to the line given in the graph = m_2

By the property of parallel lines,

m_1=m_2

m_2=-\frac{1}{3}

Equation of a line passing through a point (x', y') and slope 'm' is,

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

Therefore, equation of the parallel line which passes through (-3, 0) and having slope = -\frac{1}{3} will be,

y-0=-\frac{1}{3}(x+3)

y=-\frac{1}{3}x-1

Option (B). will be the answer.

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drek231 [11]

Let the first term be a(0).  Then the formula for a(n) is a(0)-18(n-1).

Check:  What's the first term?  Let n = 1:  a(1) = a(0)-18(1-1) = a(0) (correct)

What's the second term?    Let -n =2:  a(2) = a(0)-18(2-1) = a(0) - 18

and so on.

7 0
2 years ago
Read 2 more answers
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rusak2 [61]

Answer:

14,000 decigrams

Step-by-step explanation:

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5 0
2 years ago
Find the exact value of tan( cos^-1 ( -5/13))
trasher [3.6K]

Answer:

-¹²/₅  

Step-by-step explanation:

Let cos a = -⁵/₁₃

Then tan a = sin a/cos a

= [√(1 - cos²a)]/cos a

= {√[1 - (-⁵/₁₃)²]}/(-⁵/₁₃)

= -[√(1 - ²⁵/₁₆₉)] × ¹³/₅

= -[(√(¹⁴⁴/₁₆₉ )] × ¹³/₅

= -¹²/₁₃ × ¹³/₅

= -¹²/₅

tan(arccos (-⁵/₁₃)) = -¹²/₅

The diagram shows the 2nd  quadrant of a circle with radius 13, cos a = -⁵/₁₃, and tan a = ¹²/₍₋₅₎ = -¹²/₅.

4 0
3 years ago
Which expression is the factorization of x2 + 10x + 212
Montano1993 [528]

Answer:

The answer is option 1.

Step-by-step explanation:

Firstly, you have to elaborate the expression :

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=  {x}^{2}  + 3x + 7x + 21

Next you have to take out the common factors and factorize it :

{x}^{2}  + 3x + 7x + 21

= x(x + 3)  +  7(x + 3)

= (x + 7)(x + 3)

8 0
3 years ago
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2(3x+6) = 3(2x-6) <br> solve equations with variables on both sides
Serjik [45]
Answer:

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6 0
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