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GuDViN [60]
3 years ago
9

Is this equation true or false? .052 meters=50 millmeters

Mathematics
1 answer:
iragen [17]3 years ago
6 0

The answer is false because either way if you move the decimal three places over to make it a whole number that answer for .052 would be 52 millimeters.

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Among all pairs of numbers (x,y) such that 3x+y=15, find the pair for which the sum of squares, x^2+y^2, is minimum. Write your
Dvinal [7]

Answer:

Minimum value occurs at (x, y) = (-5,0)

Step-by-step explanation:

Given: 3x + y =15

Rewriting this equation to Slope - Intercept form, we get:

y = -3x + 15

Squaring both sides,

$ y^2 = (-3x + 15)^2 $

$ \implies y^2 = 9x^2 - 90x + 225 $

Substituting in $ x^2 + y^2,$ we get:

$ x^2 + 9x^2 - 90x + 225 $

= $ 10x^2 - 90x + 225 $

Comparing this equation with $ ax^2 + bx + c $ we get $ a =10 $ and $ b = - 90 $.

The minimum value occurs at the axis of symmetry given by $ x = \frac{-b}{2a} $.

Therefore, x = - $ \frac{-90}{2.10} $

$ \implies x = 5 $

If x = 5, y = -3(5) + 15 = 0

Thus, the point becomes (5,0) where it is minimum.

5 0
4 years ago
A rectanglular prism is 4 inches long, 6 inches wide, and has a night of 5 inches. What is it’s volume?
navik [9.2K]

Answer: A ; 120in3 sowwy if im wrong

Step-by-step explanation:

Formula= L times W times H

4 times 6 times 5

6 times 5 = 30

30 times 4 = 120

120 is the answer

6 0
3 years ago
Please help ?!!!!!!!
HACTEHA [7]

Answer: N is the transversal.


Step-by-step explanation:

its the transversal because lines L and M are parallel to each other and line N intersects them both which means line N is the transversal. a transversal line means that it is a line that crosses two or more lines on a plane is a transversal. a transversal intersecting two parallel lines creates two different types of angled pairs.  

3 0
3 years ago
A sphere has a radius of 6 inches and a surface area of 144π in2. The radius of the sphere will be doubled. How will this effect
Solnce55 [7]
FORMULA FOR SURFACE AREA OF SPHERE = 4 pi r^2 

<span>r = 6 " area = 4 pi X 6 X 6 = 144 pi " squared </span>

<span>r = 12 " </span>

<span>area = 4 X pi X 12 X 12 = 576 pi" squared </span>


<span>ANSWER Area will be 4 times the original</span>
4 0
3 years ago
Read 2 more answers
Question above
Anna [14]
Answer: 17

EXPLANATION: Today vice presidents serve as principal advisors to the president, but from 1789 until the 1950s their primary duty was to preside over the Senate. Since the 1830s, vice presidents have occupied offices near the Senate Chamber. Over the course of the nation’s history, the vice president’s influence evolved as vice presidents and senators experimented with, and at times vigorously debated, the role to be played by this constitutional officer.
4 0
3 years ago
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