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adell [148]
2 years ago
5

Determine the intercepts of the line. -4x + 7 = 2y - 3

Mathematics
1 answer:
Strike441 [17]2 years ago
5 0

x- intercept = 5/2

y - intercept = 5

Step-by-step explanation:

the intercepts of a line are found by plugging in x=0 and y = 0

For x-intercept, we put y = 0

and

For- y-intercept we put  =0

Given equation is:

-4x + 7 = 2y - 3\\Putting\ y = 0\\-4x + 7 = 2(0) - 3\\-4x+7 = -3\\-4x = -3-7\\-4x = -10

Dividing both sides by -4

\frac{-4x}{-4} = \frac{-10}{-4}\\ = \frac{5}{2}

Putting x = 0

-4x + 7 = 2y - 3\\-4(0)+7 = 2y -3\\7 = 2y-3\\7+3 = 2y\\2y = 10

Dividing both sides by 2

\frac{2y}{2} = \frac{10}{2}\\y = 5

So,

x- intercept = 5/2

y - intercept = 5

Keywords: Intercepts, lines

Learn more about intercepts at:

  • brainly.com/question/12954015
  • brainly.com/question/12932203

#LearnwithBrainly

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Three less than 2 times a number is 55. What is the number?
-Dominant- [34]
Let the number be x.

2x-3=55
2x=55-3
2x=52
x=52/2
x=26
6 0
3 years ago
If 3(r+300)=6, then what would be the value of r+300-2?
saveliy_v [14]

Solve for r in the first equation:

3(r+300) = 6

Use the distributive property:

3r + 900 = 6

Subtract 900 from both sides:

3r = -894

Divide both sides by 3:

r = -894 / 3

r = -298

Now you have r, replace r in the second equation and solve:

r +300 -2 =

-298 + 300 - 2 = 0

The answer is 0.

6 0
3 years ago
A road bike has a wheel diameter of 622 mm. What is the circumference of the wheel? Use 3.14 for pi
Ghella [55]

Answer:

Circumference ≅ 195 mm

Step-by-step explanation:

The circumference of a circle is equal to: 2*\pi *radius

Since Diameter = 2*radius we can replace that in the circumference equation giving us:

Circumference = \pi *Diameter

We know Diameter = 622 mm and pi = 3.14 so:

Circumference = \pi *Diameter = 3.14 * 622 mm = 195.308 mm

7 0
2 years ago
Read 2 more answers
Word problem-in a movie script time traveler wanted to save his wife who died the same year. The couple was the dam age. However
drek231 [11]

Represent Age of Time Traveler =========> X

Solve:

x = 3(x - 20 )


Step 1: Simplify Both sides of equation:

x = 3(x - 20 )

x = (3) (x) + (3) ( - 20 ) (Distribute ):

x = 3x + - 60

x = 3x - 60


Step 2: Subtract 3x from both sides:

x - 3x = 3x - 60 - 3x

- 2x = - 60


Step 3: Divide both sides by -2:

- 2x / - 2 = - 60 / - 2

x = 30



Answer: Our Time Traveler is 30 years old.




Hope that helps : )




5 0
3 years ago
Select the correct answer.
Alexeev081 [22]

Answer: B

Step-by-step explanation:

8 0
3 years ago
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