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Doss [256]
2 years ago
10

A rectangle has an area of (x2 − 17x + 72) square units. Since the area of a rectangle is determined using the formula, A = lw,

what could be the length and width of the rectangle?
length = (x − 8) units and width = (x − 9) units
length = (x + 9) units and width = (x + 8) units
length = (x − 6) units and width = (x − 12) units
length = (x + 12) units and width = (x + 6) units
Mathematics
2 answers:
klasskru [66]2 years ago
8 0

Answer:

length = (x − 8) units and width = (x − 9) units

Step-by-step explanation:

We need to factor

x^2 - 17x + 72

We need two numbers whose product is 72 and whose sum is -17.

The numbers are -8 and -9.

x^2 - 17x + 72 = (x - 8)(x - 9)

Answer: length = (x − 8) units and width = (x − 9) units

SpyIntel [72]2 years ago
5 0

Answer:

<h2>A</h2>

Step-by-step explanation:

Its right on Edg

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Match the following definition to the term.
Umnica [9.8K]
We are asked to describe into one term the definition "procedure for selecting sample elements from a total set of observations." The answer is sampling method. Sampling method is a method used by researchers to evaluate a large size of correspondents or samples such that the representive sample is still considered. 
3 0
2 years ago
1. If RU = 16, UT = 20, and SR = 16, what is the perimeter of SUT?
nlexa [21]

Answer:

72

Step-by-step explanation:

If SR and RU have the same length, a right angle, and a shared side, we know that they are congruent triangles using SAS (Side Angle Side). Our equation to find the perimeter would be SR + RU + UT + TS or 16 + 16 + 20 + 20(using our knowledge of the congruent triangles) = 72.

6 0
2 years ago
The sum of two numbers is 19, and their difference is 55. What are the two numbers?
Vilka [71]

Answer:

37 and -18

Step-by-step explanation:

Let one number be x and other y

1 x + 1 y = 19 .............1

1 x -1 y = 55 .............2

Eliminate y

multiply (1)by 1

Multiply (2) by 1

1 x 1 y = 19

1 x + -1 y = 55

Add the two equations

2 x = 74

/ 2

x = 37

plug value of x in (1)

1 x + 1 y = 19

37 + 1 y = 19

1 y = 19 -37

1 y = -18

y = -18

37 and -18

5 0
3 years ago
Note: Enter your answer and show all the steps
Brilliant_brown [7]

Answer: 1763

Step-by-step explanation:

Split this shape into three spaces, to where there are two square-like shapes above one rectangular shape. Next you will find the area of all three separate shapes and add them up to get your total area.

23m times 12m = 276,

23m times 12m = 276,

31m - 12m = 19m, (Here, we are taking the amounts we know of our rectangular shape to get the formula L times W used for determining this shape's area. We use the length of one of the squares(12m) subtracted by the length of both the rectangular shape and one of the squares.(31m) What we get is the lone value of L.

69m times 19m = 1311.

Add 276 + 276 + 1211. Answer = 1763.

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=y%20%3D%20x%20%7B%7D%5E%7B2%7D%20-%209x%20%2B%2014" id="TexFormula1" title="y = x {}^{2} - 9x
svetoff [14.1K]

Answer:

a = - \frac{9}{2} , b = - \frac{25}{4}

Step-by-step explanation:

To obtain the required form use the method of completing the square

add/ subtract ( half the coefficient of the x- term)² to x² - 9x

y = x² + 2(- \frac{9}{2} )x + \frac{81}{4} - \frac{81}{4} + 14

  = (x - \frac{9}{2} )² - \frac{81}{4} + \frac{56}{4}

  = (x - \frac{9}{2} )²- \frac{25}{4} ← in the form (x + a)² + b

with a = - \frac{9}{2} and b = - \frac{25}{4}

8 0
2 years ago
Read 2 more answers
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