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Mumz [18]
2 years ago
7

What is the slope of a line that runs parallel to y = -x + 7?

Mathematics
2 answers:
dimaraw [331]2 years ago
7 0
The slope of a parellel line is -1
k0ka [10]2 years ago
6 0
The slope would be -x (down one over one) because parallel lines always have the same slope. I hope this helped you :)
You might be interested in
2. Write the equation of a circle that has a diameter of 12 units if its center is at (4,7).
ahrayia [7]

Answer:

The Answer is B

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus

(x - 2.5)² + (y - (- 3.5))² = 6², that is

(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle

5 0
3 years ago
Guys this makes no sense someone help!! The amount of money raised at a charity fundraiser is directly proportional to the numbe
svlad2 [7]

A)

The formula for direct variation is written as Y = kx, where k is the proportion you need to solve for.

Y would be the amount raised and X would be the number of attendees:

100 = k5

Divide both sides by 5:

k = 100/5

k = 20

B. the constant of variation is the value of k above which is 20

C) Using the formula from A: y = kx, replace k with 20 and x with 60 and solve for y:

y = 20 * 60

y = 1200

They will raise $1,200

2. If the relationship is proportional the ratio would be a constant number. If the relationship is non proportional the ratio would vary between the different values.

5 0
3 years ago
Help? I can't seem to understand arithmegic sequence.
katrin2010 [14]

A sequence \{a_n\} is arithmetic if the difference between consecutive terms is some fixed number, regardless of which pair of consecutive terms you pick out of the sequence.

For example, the following sequences are arithmetic:

1, 2, 3, 4, 5, 6, ... (difference = 1)

-25, -20, -15, -10, -5, ... (difference = 5)

2. Carla's sequence is not arithmetic, because the differences between consecutive terms are all different:

13 - 11 = 2

17 - 13 = 4

25 - 17 = 8

She can adjust the sequence by changing the last two numbers to 15 and 17, since this makes the difference fixed:

13 - 11 = 2

15 - 13 = 2

17 - 15 = 2

and so on.

3. The sequence

45, 48, 51, 54, ...

is arithmetic with difference 3 between terms. Recursively, we can write the nth term, a_n, in terms of the previous, (n-1)th term, a_{n-1}:

a_n=a_{n-1}+3

By this definition, we can just as easily write the (n-1)th term in terms of the (n-2)th term:

a_{n-1}=a_{n-2}+3

Then, substituting this into the previous equation, we have

a_n=(a_{n-2}+3)+3=a_{n-2}+2\cdot3

We can continue this process to write a_n in terms of a_1:

a_{n-2}=a_{n-3}+3\implies a_n=a_{n-3}+3\cdot3

a_{n-3}=a_{n-4}+3\implies a_n=a_{n-4}+4\cdot3

and so on. (You might notice that the subscript of the term on the right side, and the number of 3s being added, together sum to n.) The pattern continues down to

a_n=a_1+(n-1)\cdot3

The first term in this sequence is a_1=45, so we have

a. a_n=45+3(n-1)=42+3n

where n=1,2,3,\ldots.

b. You can fill in the blanks by just adding 3 to the previous term:

45, 48, 51, 54, <u>57</u>, 60, <u>63</u>, 66, 69, ...

Then, using the formula found in (a), the 15th term of the sequence is

a_{15}=42+3\cdot15=87

4 0
2 years ago
Ms. Bauer corrected 2⁄3 of the science quizzes. Mr. Richardson corrected 2⁄7 of the quizzes. What fraction of the science quizze
IrinaK [193]
We must add 2/3 and 2/7.
We have to convert these to fractions with "21" as the denominator.
14/21 plus 6/21 =
20/21 of the quizzes have been corrected.


7 0
3 years ago
The volume of a cylinder is 1029pi cmcubed. The radius of the base of the cylinder is 7 cm. What is the height of the​ cylinder?
DedPeter [7]

Answer:

Height is 21cm

Step-by-step explanation:

Volume of the cylinder = 1029pi

Base area = 7x7xpi = 49pi

Therefor the height = 1029pi/49pi=1029/49 = 21cm

4 0
3 years ago
Read 2 more answers
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