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2 years ago

Write an equation of a line parallel to y=1/2x+3 that passes through (2,5)

2 answers:

5 0

$y=\frac{1}{2}x+3 \parallel y=mx+b$

Two lines are parallel when their slopes are the same.
$m=\frac{1}{2} \\ y=\frac{1}{2}x+b \\ \\ (2,5) \\ x=2 \\ y=5 \\ \Downarrow \\
5=\frac{1}{2} \times 2 + b \\ 5=1+b \\ b=4 \\ \\ \boxed{y=\frac{1}{2}x+4}
$

liq [111]2 years ago

3 0

All you have to do is have the line have the same slope so now all you have to do is write y=1/2x + 5 or y=1/2x - 3

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Find the value of $B - A$ if the graph of $Ax + By = 3$ passes through the point $(-7,2),$ and is parallel to the graph of $x +

Salsk061 [2.6K]

Answer:

-6

Step-by-step explanation:

We know that since Ax + By = 3 passes through (-7, 2), then if we plug -7 in for x and 2 in for y, the equation is satisfied. So, let's do that:

Ax + By = 3

A * (-7) + B * 2 = 3

-7A + 2B = 3

We also know that this line is parallel to x + 3y = -5, which means their slopes are the same. Let's solve for y in the second equation:

x + 3y = -5

3y = -x - 5

y = (-1/3)x - (5/3)

So, the slope of this line is -1/3, which means the slope of Ax + By = 3 is also -1/3. Let's solve for y in the first equation:

Ax + By = 3

By = -Ax + 3

y = (-A/B)x + 3/B

This means that -A/B = -1/3. So, we have a relationship between A and B:

-A/B = -1/3

A/B = 1/3

B = 3A

Plug 3A in for B into the equation we had where -7A + 2B = 3:

-7A + 2B = 3

-7A + 2 * 3A = 3

-7A + 6A = 3

-A = 3

A = -3

Use this to solve for B:

B = 3A

B = 3 * (-3) = -9

So, B = -9 and A = -3. Then B - A is:

B - A = -9 - (-3) = -9 + 3 = -6

The answer is -6.

<em>~ an aesthetics lover</em>

7 0

3 years ago

Read 2 more answers

I dont get it plz help

adelina 88 [10]

Answer:

its either b or d

Step-by-step explanation:

4 0

3 years ago

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Two boats leave the same place at the same time. The first boat heads due north at 10 kilometers per hour. The second boat heads

Maksim231197 [3]

Answer:

18.87 km/hr

Step-by-step explanation:

First boat is heading North with a speed of 10 km/hr.

Second boat is heading West with a speed of 16 km/hr.

Time for which they move = 2.5 hours

To find:

The speed at which the distance is increasing between the two boats.

Solution:

Let the situation be represented by the attached diagram.

Their initial position is represented by point O from where they move towards point A and point B respectively.

$Distance = Speed \times Time$

$Distance\ OA = 10 \times 2.5 = 25\ km$

$Distance\ OB = 16 \times 2.5 = 40\ km$

We can use Pythagorean Theorem to find the distance AB.

AB is the hypotenuse of the right angled $\triangle AOB$ .

According to Pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^2 = 25^2 + 40^2\\\Rightarrow AB^2 = 2225^2\\\Rightarrow AB^2 \approx 47.17\ km$

The speed at which distance is increasing between the two boats is given as:

$\dfrac{47.17}{2.5} \approx 18.87\ km/hr$

4 0

2 years ago

Jamie is walking her neighbors’ dog while they are away. She is keeping track of the total number of blocks she walks over time.

Bumek [7]

Answer:

C. Yes, because the ratios are equivalent between each pair of values.

Step-by-step explanation:

A relationship between two quantities is proportional if the ratio of the two quantities are the same for all the given possible pairs of values.

In the table given, the ratio of block to mins in the first given pair of values is 3/6 = 3/6 = ½.

In the second given pair, it is 7 to 14 = 7/14 = ½. The same ratio is gotten for the others as well.

Therefore, the table represents a proportional relationship.

The answer is: "C. Yes, because the ratios are equivalent between each pair of values."

7 0

3 years ago

How do I solve for X

Marizza181 [45]

Combine 15x and 7x to get 22x. Then combine 10 and -6 to get 4. Subtract 4 from 180 then you get 176. Divide 22x from 176 to get x=8

4 0

2 years ago

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