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LekaFEV [45]
3 years ago
9

Enter the equation of the line in slope-intercept form. Enter the answer in fraction form.

Mathematics
1 answer:
e-lub [12.9K]3 years ago
3 0

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are perpendicular then the product of their slopes is -1.

We have the following line:

y = -x + 5

The slope ism_ {1} = - 1

We find m_ {2} = \frac {-1} {m_ {1}} = \frac {-1} {- 1} = 1

Thus, the equation of the perpendicular line is of the form:

y = x + b

We substitute the point (x, y) :( 5, -1)and find "b":

-1 = 5 + b\\-1-5 = b\\-6 = b

Finally, the equation is:

y = x-6

Answer:

y = x-6

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Describe the transformations of how the graph y=x^2 can be transformed into y= -1/5 (x-4)^2 + 2
Orlov [11]

Answer:

Reflected over the x-axis, vertically shrunk by a factor of 1/5, moved right 4 units and up 2 units.

Step-by-step explanation:

Parent Graph: f(x) = a(bx - h)² + k

<em>a </em>is vertical stretch (a > 1) or shrink (a < 1) and reflection over x-axis

<em>b</em> is horizontal stretch or shrink and reflection over y-axis

<em>h</em> is horizontal movement left (if positive) or right (if negative)

<em>k</em> is vertical movement up (if positive) or down (if negative)

Now that we have our rules, we simply apply it to y = -1/5(x - 4)² + 2

<em>a</em> = -1/5, so reflection over x-axis and vertical shrink of 1/5 (1/5 < 1)

Nothing has changed <em>b</em>, so no horizontal stretch/shrink

<em>h</em> = -4, so horizontal movement right 4 units

<em>k</em> = 2, so vertical movement up 2 units

8 0
3 years ago
Can you guys help me again lol-
BartSMP [9]

Answer:

$93 per hour ?

125-405 = 280

280÷3= 93 per hour

4 0
3 years ago
Read 2 more answers
Which of the following figures has a circumference that is closest to 121 inches?
Eduardwww [97]

Answer:

B

a circle with a diameter of 19.3 inches

3 0
2 years ago
William has 8 1/4 cups of fruit juice.  If he divides the juice into 3/4 cup servings, how many servings will he have?
nikdorinn [45]

Answer: 11 servings

Step-by-step explanation:

To get the number of servings, all we need to do is divide 8 1/4 by 3/4

converting 8 1/4 to improper fraction will yield 33/4

8 1/4 ÷ 3/4

=33/4 ÷ 3/4

= 33/4 ÷ 4/3

The 4 at the numerator will cancel the 4 at the denominator. we will be left with;

=33/3 =11

Therefore, there will be 11 servings.

7 0
3 years ago
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This expression represents the average cost per game, in dollars, at a bowling alley, where n represents the number of games:
Dmitry_Shevchenko [17]

Answer:

Average Cost per game for 4 games is:

A) $4.75

Step-by-step explanation:

As the question is not complete, lets complete it first.

At the bowling Alley, shoe rentals cost $3 while a games costs $3. The expression that represents the average costs per game 'c' , in dollars, where n is the number of games, is:

c=\frac{4n+3}{n}

To find average cost per game, for 4 games, simpli substitute n=4 into the given equation:

c=\frac{4n+3}{n}\\c=\frac{4(4)+3}{4}\\c=\frac{16+3}{4}\\c = \frac{19}{4}\\c= 4.75

So Average Cost per game for 4 games is:

c = 4.75$

5 0
3 years ago
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