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4 years ago

Write an equation for a line parallel to y = 3x - 1 and contains the point (-2, 8).

Mathematics

2 answers:

kupik [55]4 years ago

7 0

Answer:

y=3x+14

Step-by-step explanation:

Ilya [14]4 years ago

6 0

Answer:

y = 3x + 14

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 - 1 ← is in slop- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation

To find c substitute (- 2, 8) into the partial equation

8 = - 6 + c ⇒ c = 8 + 6 = 14

y = 3x + 14 ← equation of parallel line

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Consider the recursive formula an = (2 + an-1) / 2

wel

Answer: The correct option is B. The third term is 4.

Explanation:

The given recursive formula is,

$a_n=\frac{2+a_{n-1}}{2}$

It is given that the first term is 10. So,

$a_1=10$

To find third term, first we have to find the second term.

$a_2=\frac{2+a_{2-1}}{2}$

$a_2=\frac{2+a_{1}}{2}$

$a_2=\frac{2+10}{2}$

$a_2=\frac{12}{2}$

$a_2=6$

Therefore the second term is 6.

$a_3=\frac{2+a_{3-1}}{2}$

$a_3=\frac{2+a_{2}}{2}$

$a_3=\frac{2+6}{2}$

$a_3=\frac{8}{2}$

$a_3=4$

Therefore, the correct option is B. The third term is 4.

7 0

4 years ago

Find the sum of the $x$-coordinates of all possible positive integer solutions to $\frac1x+\frac1y=\frac17$.

AlexFokin [52]

Answer:

Step-by-step explanation:

So the equation is 1/x+1/y=1/7

Multiplying both sides by 7xy, we get

7y+7x=xy

So x+y=xy/7

Or x=-y+xy/7

So x can be:

1,2,3,4,5,6

7 0

4 years ago

The vector v has initial point P(1, 0) and terminal point Q that is on the y-axis and above the initial point. Find the coordina

zloy xaker [14]

Answer:

The terminal point is Q(0,4)

Step-by-step explanation:

We are given the following in the question:

Initial point of vector, P(1,0)

The terminal point Q lies on the y-axis, thus Q have coordinates of the form:

$Q(0,y)$

The magnitude of the vector is $\sqrt{65}$

Magnitude is given by:

$v = \sqrt{(x_2-x_2)^2+(y_2-y_1)^2}\\\sqrt{65}=\sqrt{(0-1)^2+(y-0)^2}\\\sqrt{65}=\sqrt{1+y^2}\\65 = 1+y^2\\y^2 = 64\\y = \pm 8$

But since the terminal point is above the initial point, thus,

$y > 0\\\Rightarrow y = 4$

Thus, the terminal point is Q(0,4)

4 0

3 years ago

What is the price of $45 art set with 7% tax

olasank [31]

Answer:

$48.15

Step-by-step explanation:

Take 45 and multiply it by 0.07 and you get 3.15. Add that number to 45 and you get 48.15 as your answer

5 0

3 years ago

18) Mala gave Kamala half the number of sweets she had. She then had 7 sweets left. How many sweets did Mala have at the start?

bixtya [17]

Answer:

Mala had 14 sweets at the start.

Step-by-step explanation:

7 x 2 = 14

To check, 14/2 = 7. (Dividing by 2 is the same as multiplying by 1/2)

4 0

3 years ago