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katrin2010 [14]

3 years ago

6

What is the equation of the line parallel to the line that passes through the points (-4,2) and (12,6) and contains the point (-

4,1)?

1 answer:

max2010maxim [7]3 years ago

8 0

Answer:

no

Step-by-step explanation:

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Ming kept track of her puppy Sampson's weight gain over a three-month time period. He was six weeks old on November 15 and weigh

Kobotan [32]

Answer:

Sampson gains 3.967 kilograms from November to February.

Step-by-step explanation:

Given:

Actual Weight on November 15 = 2.49 kg

On December 15, he weighed 1020 grams more

Since 1000 grams = 1 kg

Weight on December 15 = 1020 grams = 1.2 kg

Hence Weight gained from November 15 to December 15 = 1.2 kg

On January 15, he had gained another 2200 grams

Weight on January 15 = 2200 grams = 2.2 kg

Hence Weight gained from December 15 to January 15 = 2.2 kg

On February 15, he had only gained 0.567 kilograms.

Weight on February 15 = 0.567 kg

Hence Weight gained from January 15 to February 15 = 2.2 kg

Total weight gained from November to February = Weight gained from November 15 to December 15 + Weight gained from December 15 to January 15 + Weight gained from January 15 to February 15

Total weight gained from November to February = $1.2+2.2+0.567 = 3.967 \ kg$

Hence Sampson gained total weight of 3.967 kg from November to February.

4 0

3 years ago

Write the equation of a circle in standard form for the following:

max2010maxim [7]

<h2><u>Circle Equations</u></h2>

<h3>Write the equation of a circle in standard form for the following:</h3><h3>x² − 14x + 49 + y² + 4y = 0</h3>

To write the general form of a circle into standard form, use the formula

<em>(x - h)² + (y - k)² = r²</em>

Where,

<u>(h, k)</u> is the center; and

<u>r</u> is the radius

To transform general form to standard form, group the terms that has the same variables. Replace 0 with the constant term.

x² - 14x + 49 + y² + 4y = 0
(x² - 14x) + (y² + 4y) = -49

Next step is to complete the square of each equation inside the parentheses.

(x² - 14x) + (y² + 4y) = -49
(x² - 14x - 49) + (y² + 4y + 2) = -49 - 49 + 2

Then factor each equation inside the parentheses.

(x² - 14x - 49) + (y² + 4y + 2) = -49 - 49 + 2
(x - 7)² + (y + 2)² = √2
(x - 7)² + (y + 2)² = 4

<u>Answer:</u>

The standard form of the circle is <u>(x - 7)² + (y + 2)² = 4</u>.

Wxndy~~

3 0

2 years ago

Veja a imagem :) URGENTE

bagirrra123 [75]

No se nada va a la verga

6 0

3 years ago

Read 2 more answers

36 is a squared number find two factors of 36 that are also squared numbers ?

Mkey [24]

Answer:

9 and 4

Step-by-step explanation:

9 * 4 = 36

9 = 3²

4 = 2²

8 0

3 years ago

Write an equation for the line parallel to the line - 8x + 4y = 4 through the point (-6,3). Please enter your answer in slope in

Nutka1998 [239]

Answer:

y = 2x + 15 OR 2x- y +15 =0

Step-by-step explanation:

To find the equation for the line parallel to the line -8x + 4y = 4, passing through the point (-6,3), we will first make the equation given to be in slope-intercept form, so that we can find the slope of this line

-8x + 4y = 4 we have to change it to the form y=mx + c

To do that, lets add 8x to both-side of the equation

8x -8x +4y=8x+4

4y=8x+4

divide both-side of the equation by 4

4y/4 = 8x/4 +4/4

y=2x + 1

comparing the above equation with y=mx + c

our slope(m) = 2

Any equation parallel to this line will have the same slope, so the slope(m) of our new equation will also be 2

Now we need to find the intercept of our new equation, to do that we will plug in the points given and our new slope into y=mx + c and find the value of our intercept(c)

The points given are x=-6 and y=3 and our new slope is m=2

plugging in our variables, thus;

y =mx + c

3 = 2(-6) + c

3 = -12 + c

add 12 to both-side of the equation

3+12 = -12+12+c

15=c

c=15

Therefore our intercept for the new equation is 15

To form our new equation, we will just plug in our new slope and intercept into y=mx + c

y = 2x + 15 (this is in slope intercept form)

we can rearrange it to be in standard form;

2x- y-15=0

5 0

4 years ago