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nikklg [1K]
3 years ago
6

Simplify the expression. √6(√33+7)

Mathematics
2 answers:
alex41 [277]3 years ago
3 0
C should be the correct answer
Novay_Z [31]3 years ago
3 0
C is the correct one

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The radius of a circle is 3 inches . What is the circumference of the circle ?
Vlada [557]

Answer:

Option C

Step-by-step explanation:

Circumference of a circle is:

C=2\pi r

r - radius

We are given the radius of 3 inches.

C=2\pi r\\\\C=2(3)\pi \\\\C=\boxed{6\pi }

Option C should be the correct answer.

Hope this helps!

3 0
3 years ago
Solve for each system of equations by substitution or elimination.
Tems11 [23]

QUESTION 1

The given system of equations are:

y=x^2+5x+1

y=x^2+2x+1

We equate the two equations to get:

x^2+5x+1 =x^2+2x+1

x^2 -  {x}^{2} + 5x  - 2x = 1 - 1

3x = 0

x = 0

When x=0,

y=0^2+2(0)+1 = 1

The solution is (0,1)

QUESTION 2

The given equations are:

y=x^2-2x - 1

and

y= -x^2-2x-1

We equate both equations to get:

x^2-2x - 1 = -x^2-2x-1

Group similar terms,

x^2 +  {x}^{2} -2x  + 2x= -1 + 1

2 {x}^{2}  = 0

x = 0

We put x=0 into any of the equations to find y.

y= -0^2-2(0)-1 =  - 1

The solution is (0,-1).

QUESTION 3

The given equations are:

y=x^2+2x+1

and

y=x^2+2x-1

We equate both equations:

x^2+2x+1 = x^2+2x-1

Group similar terms:

x^2 -x^2+2x = -1 - 1

0 =  -2

This is not true.

Hence the system has no solution.

6 0
3 years ago
Which expression is NOT equivalent to 12⋅−3 2/3?<br><br> Drag this expression to the box.
mezya [45]
The third option would be the incorrect one
4 0
2 years ago
Pls help. i never understood this rule.
Dimas [21]
L'Hopital rule only applies to indeterminate cases of 0/0 or ∞/∞ or 0*0 or ∞ * ∞.

and you'd need to make the expression a rational, where the numerator and denominator gives you 0/0 or ∞/∞, then you apply L'Hopital.

the only candidate there is 

\bf \lim\limits_{x\to \infty}\cfrac{2x^2-1}{3x+1}\implies \lim\limits_{x\to \infty}\cfrac{2(\infty)^2-1}{3(\infty)+1}\implies \cfrac{\infty}{\infty}&#10;\\\\\\&#10;\textit{so we can use L'Hopital by instead using the derivatives}&#10;\\\\\\&#10;\lim\limits_{x\to \infty}\cfrac{2x^2-1}{3x+1}\stackrel{LH}{\implies }\lim\limits_{x\to \infty}\cfrac{4x}{3}\implies \cfrac{4(\infty)}{3}\implies \infty
8 0
3 years ago
The second side of a triangular deck is 3 feet longer than the shortest​ side, and the third side is 3 feet shorter than twice t
neonofarm [45]

Answer: the lengths are 20 feet, 23 feet and 37 feet

Step-by-step explanation:

Let x represent the length of the shorter side of the triangular deck.

The second side of a triangular deck is 3 feet longer than the shortest​ side. This means that the length of the second side is (x + 3) feet.

The third side is 3 feet shorter than twice the length of the shortest side. This means that the length of the third of the triangle is (2x - 3) feet.

If the perimeter of the deck is 80 ​feet, it means that

x + x + 3 + 2x - 3 = 80

4x = 80

x = 80/4

x = 20

The length of the second side is

20 + 3 = 23 feet

The length of the third side is

20 × 2 - 3 = 40 - 3 = 37 feet

8 0
3 years ago
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