What is an equation of the line that passes through the points (-6, -2) and

2x+y=-9 -3x+11=y whathe is the answer

insens350 [35]

[ 2x + y = -9 ] x -3
[- 3x +11= y ] x 2

-6x -3y = 27
-6x + 22 = 2y

-6x +27 = 3y
-6x +22 = 2y

5 = y

-6x -3x5 = 27
-6x -15 = 27
-6x = 42
-x = 42/6
-x = 7
x = -7

answer

x = -7
y = 5

8 0

2 years ago

A cone has a volume of 942 in.³ and a height of 9 inches what is the radius of the cone use 3.14 for pie

bija089 [108]

Answer:

r = 51.96 inches

Step-by-step explanation:

$V_{cone} = \pi {r}^{2} h \\ \\ \implies \: r^{2} = \frac{V_{cone}}{\pi h } \\ \\ \implies \: r^{2} = \frac{942}{3.14 {(9) } }\\ \\ \implies \: r^{2} = \frac{942}{3.14 {(9) } } \\ \\ \implies \: r^{2} =2700 \\ \\ \implies \: r= \sqrt{2700} \\ \\ \implies \: r=51.96 \: inches$

8 0

1 year ago

2.Each purse contains 8 coins. Find a rule to give the total number of coins.

Masja [62]

If we have to find the total number of coins then we can use the following rule:

If Each Purse Contains 8coins ,then we can find total number of coins by multiplying 8 to the number of total purse

Thus,

︎⠀⠀ ⠀⠀ ⠀⠀ ⠀︎⠀⠀ ⠀⠀ ⠀8×Total Number of Purse.

4 0

2 years ago

A new college, The University of Discrete Structures, is opening in Boulder! Ioana and Rachel are its founders and are holding a

Rama09 [41]

Answer:

(a) 9 buildings

(b) 2^n -1

Step-by-step explanation:

The number of distinct non-empty subsets of b objects is 2^b -1. Since the subsets are distinct, each could represent a list of the buildings, from the set of b buildings, in which a student is taking courses.

(a) For 8 buildings, 2^8 -1 = 255 students could enroll. for 9 buildings, 2^9-1 = 511 students could enroll.

For 500 students, 9 buildings are required.

__

(b) The maximum number of students for n buildings is ...

2^n -1

3 0

3 years ago

Select the statement that describes this expression: 5 x 3 − (2 x 4) + 5.

Mashcka [7]

Answer:

It would be subtract the product of 2 and 4 from the product of 5 and 3, then add 5 because it’s parenthesis then you would multiply/devide then add/subtract whatever comes first

Step-by-step explanation:

5x3 - (2x4) + 5

5x3 - 8 + 5

15 - 8 + 5

7 + 5

12

(Hice los cálculos aquí en caso de que lo necesitaras)

3 0

2 years ago