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Romashka [77]
3 years ago
7

What is the equation of the line that passes through the point (5, 4) and has a slope of 6/5

Mathematics
2 answers:
vichka [17]3 years ago
6 0

Answer:

y = 6/5x - 2

Step-by-step explanation:

In this question, we have to find the equation of the line with the given information.

We know that the the slope is 6/5 and it passes through the point (5, 4)

Lets represent this problem in slope intercept form with just the slope, since we need to find the "y-intercept".

y = 6/5x + b

To find the y-intercept, plug the values of the coordinate into the equation and solve for b:

4 = 6/5(5) + b

Solve for b:

4 = 6/5(5) + b

4 = 30/5 + b

4 = 6 + b

Subtract 6 from both sides to get "b" by itself.

-2 = b

This means that the y-intercept would be -2

When we put in into our slope intercept equation, it should look like this:

y = 6/5x - 2

y = 6/5x - 2 would be the equation of the line

lisov135 [29]3 years ago
4 0

Answer:

y = (6/5)x -2

Step-by-step explanation:

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Lily has a stamp collection .she has 54 more U.S stamps than foreign stamps . she has 652 stamps in all.
NISA [10]

Answer:

foreign stamps = 299

US stamps = 353

Step-by-step explanation:

Let number of foreign stamps be x.

Given she has 54 more U.S stamps than foreign , US stamps = x +54

Total stamps = US + Foreign

652 = x + 54 + x

652 - 54 = 2x

598 = 2x

x = 299

7 0
3 years ago
34 is added to x, the result is 98 . What is the value of x? Enter your answer in the box as a fraction in simplest form
KonstantinChe [14]

Not sure why it needs to be a fraction, if I am missing something please tell me. 64 or 64/1

4 0
3 years ago
Read 2 more answers
Which of the following possibilities will NOT form a triangle? (5 points)
ruslelena [56]
<h3>Answer: Choice A</h3>

Side = 5 ft, side = 15 ft, side = 3 ft

Explanation:

The two sides 5 ft and 3 ft add to 5+3 = 8 ft which is not larger than the 15 ft side. This is exactly why a triangle is not possible here.

If we want a triangle to happen, then adding any two sides must be larger than the third side.

If we want a triangle with sides a,b,c, then we need the following to be true

  • a+b > c
  • a+c > b
  • b+c > a

Refer to the triangle inequality theorem for more information.

3 0
2 years ago
Order the following in descending order<br> -3/4, 1/8, -0.735, 7/8, 1/80, 0.056
Vilka [71]
If you would like to order the following values in descending order, you can do this using the following steps:

- 3/4 = - 0.75
1/8 = 0.125
- 0.735
7/8 = 0.875
1/80 = 0.0125
0.056

The result is: 7/8, 1/8, 0.056, 1/80, - 0.735, -0.75.
5 0
3 years ago
Write an inequality for x that would give this rectangle a perimeter of at least 300ft
Travka [436]

Answer:

The inequality for x is:

x\geq 142

Step-by-step explanation:

Given:

Width of rectangle = 3 ft

Height or length of rectangle = (x+5) ft

Perimeter is at least 300 ft

To write an inequality for x.

Solution:

Perimeter of a rectangle is given as:

⇒ 2l+2w

where l represents length of the rectangle and w represents the width of the rectangle.

Plugging in the given values in the formula, the perimeter can be given as:

⇒ 2(x+5)+2(3)

Using distribution:

⇒ 2x+10+6

Simplifying.

⇒ 2x+16

The perimeter is at lest 300 ft. So, the inequality can be given as:

⇒ 2x+16\geq 300

Solving for x

Subtracting both sides by 16.

⇒ 2x+16-16\geq 300-16

⇒ 2x\geq284

Dividing both sides by 2.

⇒ \frac{2x}{2}\geq \frac{284}{2}

⇒ x\geq 142   (Answer)

7 0
3 years ago
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