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Tcecarenko [31]
3 years ago
12

The rectangle below has an area of x^2-7x+10x square meters and a width of x-5x meters. What expression represents the length of

the rectangle?
Mathematics
1 answer:
sergey [27]3 years ago
8 0

Answer:

The area of a rectangle is:

\sf A=lw

Plug in what we know:

\sf x^2-7x+10=l(x-5)

Factor the left side:

\sf (x-2)(x-5)=l(x-5)

Divide (x - 5) to both sides:

\sf l=\boxed{\sf x-2}

So the length is x - 2 meters.

Step-by-step explanation:

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If the points (-8, 7) and T (6,-3) are on a line segment, find the length of ST.​
larisa86 [58]

Answer:

The answer is

<h2>2√74 or 17.20 units</h2>

Step-by-step explanation:

The length of w line segment between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

S(-8, 7) and T (6,-3)

The length of ST is

|ST|  =  \sqrt{ ({ - 8 - 6})^{2} +  ({7 + 3})^{2}  }  \\  =  \sqrt{ ({ - 14})^{2} +  {10}^{2}  }  \\  =  \sqrt{196 + 10}  \\  =  \sqrt{296}  \\  = 2 \sqrt{74}  \\  = 17.2046505...

We have the final answer as

<h3>2√74 or 17.20 units</h3>

Hope this helps you

8 0
3 years ago
1. In a factory, all employees work a basic week of 38 hours. Any overtime worked during week-days is paid for at time and a hal
Troyanec [42]

Answer:

Step-by-step explanation:

1. reg pay: 8.96,week days: 1.5 overtime pay, sat: double pay, sun: triple pay

38 hrs regular pay : 38 * 8.96 = 340.48

15 hrs overtime during week : 15 * 1.5(8.96) = 15 * 13.44 = 201.60

3 hrs overtime on saturday: 3 * 2(8.96) = 3 * 17.92 = 53.76

2 hrs overtime on sunday: 2 * 3(8.96) = 2 * 26.88 = 53.76

Gross wage = (340.48 + 201.60 + 2(53.76) = 649.60 <====

===============================

2. reg pay : 14.60, weekday pay: 1.25,sat pay: 1.5 , sun pay: double

(a) basic wage = 40(14.60) = 584 <==

(b) overtime wage : 15 * 1.25(14.60) + 6 * 1.5(14.60) + 5 * 2(14.60) = (15 * 18.25) + (6 * 21.9) + (5 * 29.2) = 273.75 + 131.40 + 146 = 551.15 <==

(c) gross wage : 584 + 551.15 = 1135.15 <==

================================

3. basic work wk: 40 hrs...earned 518...overtime 148

(a) basic pay rate : (518 - 148) / 40 = 370/40 = 9.25 per hr <==

(b) if overtime is paid for at double time.....so overtime pay is (2 * 9.25) = 18.50 per hr....and he got paid 148....148/18.5 = 8 hrs <==

4 0
3 years ago
15+21 the distributive property to factor out the greatest common factor.
vladimir2022 [97]
They are both divisible by 3 so we divide both by 3 and get
3(5+7)
8 0
3 years ago
Plz can you help me, thank you :)
Pepsi [2]

Answer:

A

c= s^3 AJ / km^2

Step-by-step explanation:

If you plug in this answer in the equation, you cancel out the km^2 and AJ, leaving s^3 = s^3

5 0
3 years ago
Find the value of x that makes A || B.
kumpel [21]

Answer:

the answer is 15 I just took the assessment

3 0
2 years ago
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