Which algebraic expression is equivalent to the expression below?15(9 + 5x) + 16

75x - 151
75x + 151
75x + 119
5x + 151

Answer:

7 friends

Step-by-step explanation:

14 divided by 2

Final answer:

Saima can share the muffins with 7 friends, as she has 14 muffins and she intends to give each friend 2 muffins.

Explanation:

Saima can be likened to having been provided with 14 muffins (like the slices of bread in the reference) and she wants to give out 2 muffins to each friend (like the concept of preparing a sandwich with 2 slices of bread in the reference). As she intends to give 2 muffins per friend, we can divide the total number of muffins she made, which is 14, by 2 to get the number of friends she can share the muffins with. That would be 14 divided by 2 equals to 7. Therefore, Saima can share the muffins with 7 friends.

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It is given that two vertices of square are (0,0) and (4,2).

Now the problem is that you haven't given that whether these two vertices are adjacent vertices or opposite vertices of the square.

1. By Supposing that these two are adjacent vertices of Square

The third vertex will be at (-4,2) which lies in third quadrant.

Suppose the coordinate of fourth vertex be (x,y).

Mid point of line joining (4,2) and (-4,2) is{ [4+(-4)]/2,(2+2)/2} is (0,2).

Mid point of line joining (x,y) and (0,0) is (x/2,y/2).

Since diagonals of square bisect each other,

∵ x/2=0

⇒x=0

and

y/2=2

⇒y=4

So, The Coordinate of  fourth vertex is (0,4).

Now coming back to second condition if these are two opposite vertex of Square.

Let the third coordinate be (a,b).

Length of diagonal=

Now,let side of Square be A.

Then length of Diagonal of square =√2 A

⇒√2 A=2√5

⇒A =√10

As third vertex is (a,b).

Using distance formula

a² + b²=10  -------------(1)

(a-4)²+ (b-2)²=10  --------------(2)

Solving expression (1) and (2), we get

⇒a²+ b²=(a-4)² +(b-2)²

⇒2a + b =5

⇒b=5-2a

Putting the value of b in (1),we get

⇒a² +(5-2a)²=10

⇒a²+25+4a²-20a =10

⇒5a²-20a+15=0

⇒a² - 4a + 3=0

Splitting the middle term,we get

⇒(a-3)(a-1)=0

⇒a=3  ∧  a=1

we get b=5-2×1=3 and b=5-2×3=5-6=-1

So,the other vertex are (1,3) and(3,-1).

The other two vertices of the square are (-4, -2) and (-2, 4).

What are the other two vertices of a square with one vertex (0, 0) and another vertex (4, 2)?

To find the other two vertices of a square with one vertex at (0, 0) and another vertex at (4, 2), you can use the properties of a square, which has equal sides and right angles.

1. First, find the vector from the first vertex (0, 0) to the second vertex (4, 2). This vector represents one side of the square.

  Vector = (4 - 0, 2 - 0) = (4, 2)

2. Since the square has equal sides, you can move in the opposite direction of the vector to find the third vertex.

  Third Vertex = (0, 0) - (4, 2) = (-4, -2)

3. Now, to find the fourth vertex, you can rotate the vector by 90 degrees counterclockwise. To do this, swap the x and y components and negate the new x component:

  Fourth Vertex = (-2, 4)

So, the other two vertices of the square are (-4, -2) and (-2, 4).

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Answer: I am pretty sure your answer is 208 cm. Whenever you see a percentage immediately change it to a decimal like in this case 0.070 and multiply it by 400. 400x0.070 is equal to 280. Hope this helps :)