The value of x is the same for both equations below. Solve for x.
x+3=6 and 6×=18

Answers

Answer 1
Answer: The value of x is 3.

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What is 21/45 simplified?

Answers

21÷3=7
45÷3=15
this means that 21/45 simplified is 7/15

Use the distance formula to find the distance between (1 3) and (-2 9) rounded to the nearest hundredth

Answers

Answer:

D = 6.71

Step-by-step explanation:

The distance formula is D = \sqrt {(x_(2) -x_(1))^(2) +(y_(2) -y_(1))^(2) }

Decide which point will be Point 1 and Point 2.

Point 1: ( 1,3 )          x₁ = 1     y₁ = 3

Point 2: (-2, 9)       x₂ = -2   y₂ = 9

Substitute the information into the formula.

D = \sqrt {(x_(2) -x_(1))^(2) +(y_(2) -y_(1))^(2) }

D = \sqrt {(-2 -1)^(2) +(9 -3)^(2) }    Simplify within the brackets

D = \sqrt {(-3)^(2) +(6)^(2) }   Square each number

D = \sqrt {9 +36 }     Add

D = \sqrt {45 }   Exact answer as a radical (root number)

D = 6.708....    Answer in decimals

D = 6.71   Rounded answer to nearest hundredth

The nearest hundredth is the second place value. It rounds up because the value after it is "8", which is greater than 4.

Final answer:

The distance between the points (1, 3) and (-2, 9) can be found using the distance formula in geometry. The entire sequence of calculation results in the square root of 45 which, rounded to the nearest hundredth, would be approximately 6.71.

Explanation:

The distance formula is a tool in geometry that can be used to find the distance between two points in a coordinates plane. Given two points (x1, y1) and (x2, y2), the formula is:

Distance = sqrt((x2-x1)² + (y2-y1)²)

Applying this formula to find the distance between the points (1, 3) and (-2, 9) would look like this:

Distance = sqrt(((-2)-1)² + (9-3)²)

Distance = sqrt((-3)² + 6²)

Distance = sqrt(9 + 36)

Distance = sqrt(45)

Then, if we round to the nearest hundredth, the distance would be approximately 6.71.

Learn more about Distance Formula here:

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The perimeter of a rectangle is 136 feet . The ratio of its length to its width is 9:8. What are the dimensions of the rectangle ?

Answers

36ft by 32ft, but I'm just guesstimating. 9:8 is a very similar ratio, and you can infer that none of the other ratios are close enough together. But 36 is just larger than 32. Hope this helps.

What is the lateral area of the rectangular prism? Assume the prism is resting on its base.A.
200 in2

B.
180 in2

C.
90 in2

D.
50 in2

Answers

A = 2 h (l + w)
A = 2(10)(4 + 5)
A = 20 (9)
A = 180 in²
L= (2l + 2w) x h
L= (2x5+2x4) x 10
L= (10+8) x 10
L= 18x10
L= 180 in2

What is 78% of 50 questions

Answers

0.78 times 50 is 39.
78% is (0.78) So, multiply that by 50 and get the amount out of 50 questions.

A van is carrying 486 pounds. There are 27 boxes in the van What is the average weight of each box in the van

Answers

the answer is 18 all u have to do is divide 27 divided by 486