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g100num [7]
2 years ago
8

What is the y intercept of a line that passes through (1,-7) and (5,-25). How do I find it.

Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
3 0

Answer:

y- intercept = - 2.5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, - 7) and (x₂, y₂ ) = (5, - 25)

m = \frac{-25+7}{5-1} = \frac{-18}{4} = - 4.5 , then

y = - 4.5x + c

To find c substitute either of the 2 points into the equation

Using (1, - 7), then

- 7 = - 4.5 + c ⇒ c = - 7 + 4.5 = - 2.5

y- intercept c = - 2.5

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An acute triangle has sides measuring 10cm and 16cm. The length of the third side is unknown.
Mariulka [41]

What  best describes the range of possible values for the third side of the triangle are

  • If the 3rd side is less than 6, it could never reach between the ends of the 10 and the 16.
  • If the 3rd side is more than 26, then the 10 and the 26 could never reach its ends.

This is further explained below.

<h3>What is the range?</h3>

Generally, After removing the sample maximum and lowest, we get the range of the data set. It shares the same measurement systems as the data.

In conclusion, Choose the options that best characterize the interval across which the third side may take on a value;

When the 10 and 16 are placed end to end, the third side can never be shorter than 6.

If the sum of the 10 and the 26 is more than the third side's value, then the 10 and the 26 will never sum to the side's value.

Read more about the range

brainly.com/question/28135761

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8 0
1 year ago
The numerator of a rational number is greater than its denominator by 3. If the new number becomes 13/4 when the numerator is tr
GarryVolchara [31]

Answer:

Step-by-step explanation:

Let x represent the numerator and y represent the denominator.

The numerator of a rational number is greater than its denominator by 3. It means that

x = y + 3

If the new number becomes 13/4 when the numerator is tripled and the denominator is decreased by 23, it means that

3x/(y - 23) = 13/4

Cross multiplying, it becomes

3x × 4 = 13(y - 23)

12x = 13y - 299- - - - - - - - - - -1

Substituting x = y + 3 into equation 1, it becomes

12(y + 3) = 13y - 299

12y + 36 = 13y - 299

13y - 12y = 36 + 299

y = 335

x = y + 3 = 335 + 3

x = 338

The original number is 338/335

6 0
3 years ago
If PQR ~ QST, find the value of x
MaRussiya [10]

Answer:

I don't understand.

Step-by-step explanation:

5 0
2 years ago
A bakery offers a sale price of $2.75 for 3 muffins. What is the price per dozen
Svet_ta [14]

Answer:

4 muffins is $2.75

4*3=12

1 dozen is 12

2.75 * 3 =$ 8.25

Step-by-step explanation:

6 0
3 years ago
Ariel wants to write 8 entries for her blog. After 2 hours, she has 5 entries left. After 4 hours, she has 2 entries left. Which
Komok [63]
After 2 hours she wrote 3 entries.
after 4 hours she wrote 6 entries.
This means that for same period she is writing same number of entries which means her "writing speed" is constant.
that means that graph is linear function (straight line).

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3 0
3 years ago
Read 2 more answers
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