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laila [671]
3 years ago
10

Find the equation of the line using the point-slope forumla. Write the final equation using the slope-intercept form. parallel t

o y = 3 x − 2 and passes through the point ( − 3 , − 14 )
Mathematics
1 answer:
Greeley [361]3 years ago
6 0

Answer:

see explanation

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 the slope of the parallel line = 3

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 3 and (a, b) = (- 3, - 14), hence

y + 14 = 3(x + 3) ← in point- slope form

Distribute and simplify

y + 14 = 3x + 9 ( subtract 14 from both sides )

y = 3x - 5 ← in slope- intercept form


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Solve the following equation:<br> 9n² - n - 2/3 = 0
KIM [24]

Answer:

see explanation

Step-by-step explanation:

Given

9n² - n - \frac{2}{3} = 0 ← multiply through by 3 to clear the fraction

27n² - 3n - 2 = 0 ← factoring

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term

product = 27 × - 2 = - 54 and sum = - 3

The factors are - 9 and + 6

Use these factors to split the n- term

27n² - 9n + 6n - 2 = 0 ( factor the first/second and third/fourth terms )

9n(3n - 1) + 2(3n - 1) = 0 ← factor out (3n - 1) from each term

(3n - 1)(9n + 2) = 0

Equate each factor to zero and solve for n

3n - 1 = 0 ⇒ 3n = 1 ⇒ n = \frac{1}{3}

9n + 2 = 0 ⇒ 9n = - 2 ⇒ n = - \frac{2}{9}

3 0
3 years ago
BRAINLIEST FOR AN ACTUAL ANSWER
Andreyy89

Answer:

The correct pair of functions is the third one:  h(x)=(x−24)^2 and g(x)=x2

Step-by-step explanation:

Example:  If we have q(x) = x^2 and its graph, moving the vertex of this graph 24 units to the right results in r(x) = (x - 24)^2.

The correct pair of functions is the third one:  h(x)=(x−24)^2 and g(x)=x2

Note:  the fourth pair is incorrect, because the " + " sign moves the graph of x^2 24 units to the left.

3 0
3 years ago
What is the point slope form?<br><br> (8,9) m = 0.5<br><br> Please show work.
Simora [160]
<span>(8,9) m = 0.5
point slope form 
y - y1 = m (x - x1)
so
equation

y - 9 = 0.5(x - 8)

answer
</span>
y - 9 = 0.5(x - 8)
8 0
3 years ago
A jar contains quarters (worth $\$0.25$ each), nickels (worth $\$0.05$ each) and pennies (worth $\$0.01$ each). The value of the
denis-greek [22]

Answer:It doesn't make sense when I try to do it,I even tried a calculator

Step-by-step explanation: IDK?

7 0
3 years ago
Read 2 more answers
For questions 10-11 if l || m, find the values of x and y.
klemol [59]

Answer:

10) 9x - 2° = 5x + 54° (corresponding angles are equal)

9x - 5x = 54 + 2

4x = 56

x = 56/4

x = 14°

10y + 6° = 9x - 2° (linear pair)

10y + 6° = 9(14)° - 2°

10y + 6° = 126° - 2°

10y + 6° = 124°

10y = 124° - 6°

10y = 118

y = 118/10

Sorry, i don't know how to do the 11th question

but hope this helps you!

8 0
2 years ago
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