The following table shows the length and width of two rectangles:Length Width
Rectangle A 3x + 2 2x - 1
Rectangle B x + 5 5x - 1

Which expression is the result of the perimeter of rectangle B minus the perimeter of rectangle A?
2x + 2
2x + 6
22x + 14
22x + 18

Answers

Answer 1

Answer: The perimeter of a rectangle is equal to two times the sum of the length and the width.
$P=2(l+w)$

Rectangle A:
$l=3x+2 \n w=2x-1 \n \nP_A=2(3x+2+2x-1)=2(5x+1)=10x+2$

Rectangle B:
$l=x+5 \n w=5x-1 \n \nP_B=2(x+5+5x-1)=2(6x+4)=12x+8$

The perimeter of rectangle B minus the perimeter of rectangle A:
$P_B - P_A=12x+8-(10x+2)=12x+8-10x-2=\boxed{2x+6}$

Answer 2

Answer:

Answer:

2x+6

Step-by-step explanation:

took the test

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Simplify the expressiona)square root of 45
b)square root of 54
c)square root of 16/25

Answers

$a)\n\n \sqrt {45}=√(9\cdot 5)=√(9)\cdot √(5)=3√(5)\n\nb)\n\n √(54)=√(9\cdot 6)=√(9)\cdot √(6)=3√(6)\n\nc)\n\n\sqrt{(16)/(25 ) }=(√(16))/(√(25))=(4)/(5)$

What is 194 in radical form

Answers

The radical form of 194 = √2 x √97

To find the radical form of 194,

we need to factorize it into its prime factors.

So, let's start by dividing 194 by the smallest prime factor, which is 2,

⇒ 194 ÷ 2 = 97

We can see that 97 is a prime number,

so we can't divide it any further.

Therefore, the prime factorization of 194 is,

⇒ 194 = 2 x 97

Now, we can write the radical form of 194,

⇒√194 = √(2 x 97)

We can simplify this expression by breaking it down into the product of two separate square roots:

⇒ √(2 x 97) = √2 x √97

⇒The radical form of 194 is √2 x √97.

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194 in radical form is just √194. I don't believe any square roots go into it. Hope that helps. :)

Solve this system of equations by using an algebraic method. Identify your solutions as an orderEquation:
x + y + z = 6
2x + 4y - z = 7
2x - 4y + 2z = 0

Answers

Final answer:

To solve the system of equations, we can use the substitution method. The solution to the system of equations is x = 1, y = 2, and z = 3.

Explanation:

To solve the system of equations algebraically, we can use the method of substitution or elimination. Let's use substitution method:

From the first equation, we can solve for x to get x = 6 - y - z.
Substitute the value of x in the other two equations.
After substituting, solve the resulting two equations to find the values of y and z.
Once y and z are found, substitute them back into the first equation to find the value of x.

The solution to the system of equations is x = 1, y = 2, and z = 3.

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There are 250 students in a senior. of the 250 students, 102 are boys. there are 20 senior girls and 18 senior boys on the track team. What is the probablity a randomly chosen student from the senior class is a girl who does not run track?

Answers

If 102 are boys then 250 - 102 = 148 are girls.
If 20 girls run track, then 148 - 20 = 128 girls do not run track
probability a randomly chosen student from the senior class is a girl who does not run track = (probability the student chosen is a girl) * (probability the student does not run track)
= (148/250) * (128/250) = 128/250 = 62/125

What are the coordinates on the coordinate plane?

Answers

Answer:

0.9 1.8 2.9

Step-by-step explanation:

Answer:

P is (2,1) M is (6,2) G is (5,5) L is (1,3) i think this is right anyway

Step-by-step explanation:

hope it helped!

p.s it would be cool it you would give me brainliest

WILL GIVE BRANLIEST PLEASE HELP!Which statement is correctly written as a biconditional statement?

The equation x+3=9 is true when x=6.
If the equation x+3=9 is true, then x=6.
The equation x+3=9 is true if and only if x=6.
The equation x+3=9 is true or x=6.