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shutvik [7]
2 years ago
8

Find the distance between the points (8, – 7) and ( – 4,9). Hint: Use the Pythagorean theorem

Mathematics
1 answer:
Sedaia [141]2 years ago
6 0
8+4=12
9+7=16
12^2=144
16^2=256
144+256=400
square root of 400 is 20

therefore the distance from (8, -7) to (-4,9) is 20.
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Linda had been collecting stamps for 5 weeks and had 25 stamps in her stamp book. Her book holds 64 stamps. She then began purch
coldgirl [10]
25 divided by 5 is 5 so she gave 5 stamps each week
64 divide by 3 would roughly be 12 weeks because otherwise it would be a renainder
12 add 5 equals 17 weeks
So it should take 17 weeks
hope this is right Please ask me if any doubts
Thank you Good Luck
7 0
3 years ago
The perimeter of a rectangle is 25 2/5 ft. The length is
Naya [18.7K]

Answer:

Width = 4.85 feet

Length = 7.85 feet

Step-by-step explanation:

Given:

Perimeter of a rectangle = 25 2/5 ft = 25.4 feet

Length = 3 + Width

Computation:

Assume;

Width = a

So,

Length = 3 + a

Perimeter of a rectangle = 2(l + b)

25.4 = 2[(3 + a) + a]

25.4 = 2[3 + 2a]

25.4 = 6 + 4a

4a = 19.4

a = 4.85

Width = 4.85 feet

Length = 3 + 4.85

Length = 7.85 feet

5 0
2 years ago
What is P.E.M.D.A.S?​
KatRina [158]

Answer:

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

Step-by-step explanation:

PEMDAS stands for the procedure you take when solving an equation

7 0
2 years ago
Read 2 more answers
Alex is a writer who writes poems and short stories. For an upcoming writer's workshop Alex wants to write some new works. He ne
pashok25 [27]

Answer:

The maximum number of works that he can write while staying in his time budget is 24.

21 poems and 3 short stories

Step-by-step explanation:

In order to solve this problem we must first determine what our variables are. In this case it's the number of poems and short stories he can write.

p = # of poems

s = # of short stories

Next, we must build our objective function which will represent the total number of works he can write.

N=p+s

where N is the number of works.

Next, we must write the constrains based on the information provided by the problem.

The problem tells us that it takes him 30 hours to write a poem and 70 hours to write a short story and that he has 840 hours available to write them, so that constrain will be the following:

30p+70s \leq 840

it also tells us that he wants to write at least 4 poems and 3 short stories so there we have our other two constrains.

p \geq 4

s \geq 3

once we got our constrains we can go ahead and graph them to see how they will behave. (See attached picture)

In the graph p is the horizontal axis and s is the vertical axis.

On the graph we can see a polygon that is formed by the restriction. The vertices of the polygon will represent the optimal conditions for this linear programming problem. There are three optimal solutions there, so we need to test them to see which will return the greatest number of works he can write while keeping the given conditions.

Option 1:

4 poems and 3 short stories

N=4+3

N= 7 works

Option 2:

4  poems and 10 short stories

N=4+10

N=14 works

Option 3:

21 poems and 3 short stories

N=21+3

N=24 works

So the optimal solution will be given by option 3 with 21 poems and 3 short stories.

5 0
2 years ago
What pair of number is best to simplify sqrt96? plsss help
Troyanec [42]
Answer:
I think the answer is c
3 0
2 years ago
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