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3 years ago

(4,7) y=3x+6 write an equation passing through the point and parallel to the given line

Mathematics

1 answer:

Elis [28]3 years ago

4 0

So, we will be using point-slope form to construct this equation.

Point-slope form's general formula is as follows:

$Y-Y_1=m(X-X_1)$

M is the slope,

Y₁ is the Y-coordinate of the point

X₁ is the X- coordinate of the point.

So, our slope is 3 (since the equation is given in slope-intercept form)

Our Y₁ is 7 and out X₁ is 4

So, now we just plug our numbers into the equation.

$Y-7 = 3(X-4)$

There's your equation.

Hope this helps!

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Nastasia [14]

Answer:

I'm pretty sure it is 18

Step-by-step explanation:

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5 0

3 years ago

What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago

Zane's parents keep a chart on the wall where they mark how much Zane grows each year. When Zane was 15, he grew 3/5 of an inch

timurjin [86]

Answer:

1 1/10 or 11/10

Step-by-step explanation:

Zane grew 3/5 of an inch during the first year and 1/2 an inch during the second. First, you have to make sure the denominators are the same number. Then, add the numerators. Simplify if needed.

4 0

3 years ago

Read 2 more answers

Mr Thompson please answer. This is hw that is for mathematics Algebra.

ddd [48]

Answer:

question 6:

$x^{2}$ + 9x + 14 and (x + 2) (x + 7)

question 7:

$x^{2}$ - 7x + 10 and (x - 2)(x - 5)

question 8:

$x^{2}$ - 9x + 20 and (x - 4)(x - 5)

question 9:

(x + 1) (x - 17)

$x^{2}$ - 17x + 1x - 17

$x^{2}$ - 16x - 17

question 10:

(x - 1) (x + 17)

$x^{2}$ + 17x - 1x - 17

$x^{2}$ + 16x - 17

6 0

3 years ago

Pls help, and hurry. i will give anyone brainliest if you give the correct answer.

Anna11 [10]

Answer:

Two answers:

22 ≥ v

v ≤ 22

Step-by-step explanation:

It's the same as solving for a variable in an equality. Imagine it as 17 = v - 5 for a moment. Simplify by subtracting 5 from both sides and re-add the inequality sign. This can be easily done since we are not multiplying or dividing, just adding and subtracting.

4 0

3 years ago