Geometry math question

Write the equation of a line that goes through the points (-7,9) and (-4,3).

solong [7]

Answer:

y= -2x - 5

Step-by-step explanation:

You have use to slope intercept and formula to get the answer.

3 0

2 years ago

The sum of three consecutive numbers is 72 what is the smallest of the numbers

mylen [45]

Answer:

23

Step-by-step explanation:

Suppose,

the first number = x

the second number = x+1

the third number = x+1+1 = x+2

Question wise,

x+x+1+x+2 = 72

3x+3 = 72

3x = 72-3 = 69

x = 69/3 = 23

so the numbers are,

23,(23+1)=24 and (23+2)=25

6 0

2 years ago

PLZZZZZZ IL do anything give brainilest 5 star i'll like My grade depends on this PLEASE I NEED THIS TO BE CORRECT AND SHOW YOUR

sesenic [268]

Answer:

$195.00

Step-by-step explanation:

perimeter is 54 feet

area is 152 $ft^{2}$

54' * $1.50 = $81.00

152/8 = 19 bags of mulch needed

19*$6.00= $114.00

$195.00 you get away from the store for under 200 :P

P.S. since you said you'll do anything, send me $1,000,000.00 dollars :D

8 0

3 years ago

Military radar and missile detection systems are designed to warn a country of enemy attacks. A reliability question deals with

Nadusha1986 [10]

Answer:

Step-by-step explanation:

Given that a particular detection system has a 0.83 probability of detecting a missile attack.

Also each system is independent of the other to detect missile attack.

a) the probability that a single detection system will detect an attack= $0.83$

b) the probability that at least one of the systems will detect the attack given two systems= 1-Prob no system detects

= $1-(1-0.83)(1-0.83)\\\\=1-0.0289\\=0.9711$

c) If three systems are installed, the probability that at least one of the systems will detect the attack

= 1- none of the three systems detect attack

$= (1-0.17^3)\\=1-0.004913\\=0.995087$

d) We find that probability of detecting is more if we increase the system form 1 to 2 and 2 to 3.

Hence for safety and defence purpose multiple detection system is recommended.

7 0

3 years ago

The sum of three consecutive even numbers is 552. What is the 1st number?

wariber [46]

Answer:

Let 2n = the first of three consecutive even numbers, where n is an integer.

Let 2n + 2 = the second of three consecutive even numbers, and

Let 2n + 4 = the third of three consecutive even numbers.

We're given that "sum of three consecutive even numbers is 552." We can translate this English sentence mathematically into the following equation to be solved for n:

2n + (2n + 2) + (2n + 4) = 552

Removing the parentheses, we have:

2n + 2n + 2 + 2n + 4 = 552

Now, by the Commutative Law of Addition, i.e., a + b = b + a, we have on the left side of the equation:

2n + 2n + 2n + 2 + 4 = 552

Now, collecting like-terms on the left, we get:

6n + 6 = 552

To solve for the variable n, We now begin isolating n on the left side by subtracting 6 from both sides as follows:

6n + 6 - 6 = 552 - 6

6n + 0 = 546

6n = 546

Now, divide both sides by 6 to finally solve for n:

(6n)/6 = 546/6

(6/6)n = 546/6

(1)n = 91

n = 91

Therefore, the first of three consecutive even numbers, 2n, is:

2n = 2(91)

= 182

The second of three consecutive even numbers is:

2n + 2 = 2(91) + 2

= 182 + 2

= 184

The third of three consecutive even numbers is:

2n + 4 = 2(91) + 4

= 182 + 4

= 186

CHECK:

2n + (2n + 2) + (2n + 4) = 552

182 + 184 + 186 = 552

552 = 552

Therefore, the desired and first of three consecutive even numbers is indeed 2n = 182.

7 0

2 years ago

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