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Dovator [93]
3 years ago
15

As indicated below, write the equations of the line passing through the point (2, 4) and parallel to the line whose equation is

y = x. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.
Part 1: Point-Slope form of the linear equation

Part 2: Slope-intercept form of the linear equation

Part 3: The general form of the linear equation
Mathematics
1 answer:
babunello [35]3 years ago
3 0

Answer:

See below in bold.

Step-by-step explanation:

Part 1.

The point slope form is y - y1 = m(x - x1)

Here m,  the slope =   1 as it is parallel to y = x ,   x1 = 2 and y1 = 4 so

y - 4 = 1(x - 2)

y - 4 = x - 2 is the required equation.

Part 2.

y - 4 = x - 2

y = x - 2 + 4

y = x + 2 is the slope-intercept form.

Part 3.

y = x + 2

-x + y = 2 is the general (standard) form of the equation.

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Create a list of steps, in order, that will solve the following equation.
Vlada [557]

Answer:

a = -3

Step-by-step explanation:

Solve for a:

2 (a + 5) - 1 = 3

Hint: | Distribute 2 over a + 5.

2 (a + 5) = 2 a + 10:

(2 a + 10) - 1 = 3

Hint: | Group like terms in 2 a - 1 + 10.

Grouping like terms, 2 a - 1 + 10 = 2 a + (10 - 1):

(2 a + (10 - 1)) = 3

Hint: | Evaluate 10 - 1.

10 - 1 = 9:

2 a + 9 = 3

Hint: | Isolate terms with a to the left hand side.

Subtract 9 from both sides:

2 a + (9 - 9) = 3 - 9

Hint: | Look for the difference of two identical terms.

9 - 9 = 0:

2 a = 3 - 9

Hint: | Evaluate 3 - 9.

3 - 9 = -6:

2 a = -6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 a = -6 by 2:

(2 a)/2 = (-6)/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

a = (-6)/2

Hint: | Reduce (-6)/2 to lowest terms. Start by finding the GCD of -6 and 2.

The gcd of -6 and 2 is 2, so (-6)/2 = (2 (-3))/(2×1) = 2/2×-3 = -3:

Answer:  a = -3

8 0
2 years ago
Mika bought 9 rolls of film to take 180 pictures on a field trip. Some rolls had 36 exposures and the rest had 12 exposures. How
Juli2301 [7.4K]

The number of each type Mika bought =x = 6.8 rolls; y= 2.2 rolls.

<h3>Calculation using ratio</h3>

The number of rolls of film Mika  bought =  9 rolls

The number of rolls that had 36 exposures = x

The number of rolls that had 12 exposures = y

The total number of exposures = 36 + 12 = 48

To find the exposure by one roll = 48/9 = 5.3

If one roll = 5.3 exposure

    x roll    = 36 exposure

Make x roll the subject of formula,

x roll = 36/5.3 = 6.8 rolls

  • If one roll = 5.3 exposure

    y roll    = 12 exposure

Make y roll the subject of formula,

y = 12/5.3 = 2.2 rolls

Therefore, the number of each type Mika bought = x = 6.8 rolls; y= 2.2 rolls.

Learn more about ratios here:

brainly.com/question/2328454

#SPJ1

6 0
2 years ago
7) Halogen lightbulbs last an average of 4,500 hours. If a particular
castortr0y [4]

Answer:

450 days

Step-by-step explanation:

4500/10 = 450 days

7 0
2 years ago
maria buys 8 1/3 pounds of beef to make tacos for a party .She uses 5/9 pound of beef for each toco. how many tacos can maria ma
Olin [163]

Just do 8 1/3 divided by 5/9 or

25/3  / 5/9

25/3 * 9/5 = 5/1 * 3/1 = 15

So 15 tacos


* = times

/ = divided by

7 0
2 years ago
Ira build a model of the great pyramid in egypt for a school project.The great Pyramid has square base with sides of leght 756 f
Aleks [24]
The awnser to number 2 i think


2. area = 363,636

6 0
3 years ago
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