Which are acceptable names for the line? Choose all answers that are correct. A. WL. B. Line LR. C. Line R. D.Line RW

Answers

Answer 1

Answer: The acceptable names for the line are WL and line R. The answers to your questions are A and C. I hope that this is the answer that you were looking for and it has helped you.

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The length of a rectangle is 2 inches more than a number. The width is 1 inch less than twice the same number. If the area of the rectangle is 42 in2 find the dimensions of the rectangle

Answers

Answer:

length: 6 inches

width: 7 inches

Step-by-step explanation:

Let n represent the number. Then the length is (n+2) and the width is (2n-1). The product of these dimensions is the area:

42 = (n+2)(2n -1) = 2n^2 +3n -2

2n^2 +3n -44 = 0 . . . . subtract 42

(n -4)(2n +11) = 0 . . . . . factor

n = 4 . . . . . . . . we aren't interested in the negative solution

Length = 4+2 = 6 . . . inches

Width = 2·4 -1 = 7 . . . inches

Final answer:

The dimensions of the rectangle given that its area is 42 square inches, the length is 2 inches more than a number, and the width is 1 inch less than twice the same number, are 6 inches by 7 inches.

Explanation:

To solve this problem, let's define the unknown number as

x. According to the problem, the length of the rectangle is 2 inches more than x (so it's x + 2), and the width is 1 inch less than twice the number x (which makes it 2x - 1).

Now, we'll use the formula for the area of a rectangle, which is length times width: (x + 2) * (2x - 1) = 42.

Solve this equation by expanding the parentheses (2x^2 + 4x - x - 2 = 42), simplifying (2x^2 + 3x - 2 - 42 = 0), and rearranging (2x^2 + 3x - 44 = 0).

Using the quadratic formula, we find that the possible values of x are 4 and -5.5. However, a negative size doesn't make sense in this context, so x = 4 inches. That makes the length = 4 + 2 = 6 inches, and the width = 2*4 - 1 = 7 inches. Therefore, "the dimensions of the rectangle are 6 inches by 7 inches".

Learn more about Algebra here:

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How many ways can six kids line up in a single row to have their picture taken?

Answers

slot method aka permuations
6 slots
1st slot: 6 options
2nd slot: 5 options (1 went to first slot)
3rd slot: 4
4th slot:3
5th slot:2
6th slot:1

multiply
6*5*4*3*2*1=720

720 ways

Answer:

720

Step-by-step explanation:

How can I find the value of 78 x n when n= 3237

Answers

Replace n with 3237 so you have 78*3237
And you get 252486 as your answer

X^2-5x-24=0

3x^2+x-4=0

Solve by factoring or using the quadratic formula

Answers

$x^2-5x-24=0\n\n-5x=3x-8x\n-24=3\cdot(-8)\n\nx^2-5x-24=0\n\n\Downarrow\n\n(x+3)(x-8)=0\iff x+3=0\ \vee\ x-8=0\n\nx=-3\ \vee\ x=8$

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$3x^2+x-4=0\n\na=3;\ b=1;\ c=-4\n\n\Delta=b^2-4ac\to\Delta=1^2-4\cdot3\cdot(-4)=1+48=49\n\nx_1=(-b-\sqrt\Delta)/(2a)\to x_1=(-1-√(49))/(2\cdot3)=(-1-7)/(6)=(-8)/(6)=-(4)/(3)\n\nx_2=(-b+\sqrt\Delta)/(2a)\to x_2=(-1+√(49))/(2\cdot3)=(-1+7)/(6)=(6)/(6)=1$

$x^2-5x-24=0\n x^2+3x-8x-24=0\n x(x+3)-8(x+3)=0\n (x-8)(x+3)=0\n x=8 \vee x=-3$

$3x^2+x-4=0\n 3x^2-3x+4x-4=0\n 3x(x-1)+4(x-1)=0\n (3x+4)(x-1)=0\n x=-(4)/(3) \vee x=1$

Corinne is 6 years younger than her brother. Which of the following expressions shows the sum of their ages if b represents Corinne's brother's age?

Answers

From the given conditions above, if Corrine's brother's age is b, hers would be b - 6 given that she is 6 year younger. Adding b with b - 6 will give 2b - 6. Thus, the expression that shows the sum of their ages is 2b - 6.

The sum of a number and -43 is 102.what is the number

Answers

Answer: 145

Step-by-step explanation:

Answer: 145

Step by step explanation:

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