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2 years ago

What is an equation of the line that passes through the point (-2,-6) and is parallel to the line x+2y=8x+2y=8?

Mathematics

1 answer:

poizon [28]2 years ago

3 0

Answer:

y= -x/2-7

Step-by-step explanation:

We need to write an equation of the line that passes through the point (-2, -6) and is parallel to the line x + 2y = 8

We need to find slope m and y-intercept b for the new line.

First we need to find slope m of the new line.

The given line x+2y=8 is parallel to new line.

When lines are parallel, there slope is same.

First writing equation in slope-intercept form: where m is slope and b is y-intercept

Now comparing with the slope is :

Now finding y-intercept b

Using point (-2,-6) and slope we can find y-intercept

So, we get y-intercept b = -7

Now the equation of required line having slope and y-intercept b = -7 is:

So, the equation of new line is:

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Jay organised a large wedding and 1/3 of them chose beef 5/12 of them chose Chicken and 69 of them chose vegetarian so how many

DerKrebs [107]

Answer:

276 Guests

Step-by-step explanation:

Calculation to determine how many guest were at the wedding

Guests that choose beef =1/3

Guests that choose chicken= 5/12

Guests that choose vegetarian=69

Now let calculate the how many guest were at the wedding

Let x represent the numbers of guest that were present at the wedding

Hence,

x/3 + 5x/12 + 69 = x

9x/12 + 69 = x

12x/12 - 9x/12 = 69

3x/12 = 69

x/4 = 69

x=69*4

x = 276 guests

Therefore the numbers of guests that were at the wedding is 276

7 0

3 years ago

Read 2 more answers

You compare the number of words per sentence in a sports magazine to the number of words per sentence in a fashion magazine. The

goldenfox [79]

Answer:

answer is b

Step-by-step explanation:

8 0

3 years ago

X 4) Find the product of 4 x 2 3/4. 18 3/4 O 7 1/2 11 O 14

Vadim26 [7]

9514 1404 393

Answer:

Step-by-step explanation:

4 × (2 3/4) = 4×2 + 4×(3/4) = 8 + 3 = 11

4 × (2 3/4) = 4 × 11/4 = 11

5 0

3 years ago

Mr. Smith and Mr. Kelly are business partners they agreed to divide the profits in the ratio of 3 to 2 the profit amount of 24,0

nikitadnepr [17]

Answer: Mr. Smith makes 14,400, Mr. Kelly makes 9,600

Step-by-step explanation: First add the ratio together. 3+2=5.

Then divide 24,000 into five parts, 24,000/5 = 4,800.

After getting 4,800, multiply 4,800 by 3 to get Mr. Smith's portion of the money received. 4,800 x 3 = 14,000.

And you can do the same for Mr. Kelly but use 2 instead of a 3.

4,800 x 2 = 9,600

To check your work you can add the two answers together

9,600 + 14,400 = 24,000.

7 0

2 years ago

A person on the ground looks up at an angle of 28° and sees the top of a tree and the top of a building aligned. The tree is 20

lorasvet [3.4K]

Answer:

21.27 meters.

Step-by-step explanation:

Please find the attachment.

Let H and h represent height of building and tree respectively.

We have been given that a person on the ground looks up at an angle of 28° and sees the top of a tree and the top of a building aligned. The tree is 20 m away from the person and the building is 60 m away from the person.

We know that tangent relates opposite side of a right triangle with its adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(28^{\circ})=\frac{H}{60}$

$60\cdot \text{tan}(28^{\circ})=H$

$60\cdot 0.531709431661=H$

$H=31.90256589966\approx 31.90$

Similarly, we can find height of the tree.

$\text{tan}(28^{\circ})=\frac{h}{20}$

$20\cdot\text{tan}(28^{\circ})=h$

$20\cdot 0.531709431661=h$

$h=10.63418863322\approx 10.63$

$H-h=31.90-10.63$

$H-h=21.27$

Therefore, the difference in heights between the building and tree is 21.27 meters.

3 0

2 years ago