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OlgaM077 [116]
3 years ago
13

How do you write a polynomial in standard form that represents the area of the shaded region of a rectangle when on the outside

there are (x+4) and (x+7) and the inside the larger rectangle has (x+2) and (x+5)....the shaded region is in between those two rectangles.
Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0
F ( x ) = ( x + 7 ) ( x + 4 ) - ( x + 5 ) ( x + 2 ) =
= ( x² + 4 x + 7 x + 28 ) - ( x² + 2 x + 5 x + 10 ) = 
= ( x² + 11 x + 28 ) - ( x² + 7 x + 10 ) =
= x² + 11 x + 28 - x² - 7 x - 10 = 4 x + 18
Answer:
The area of the shaded region is 4 x + 18.
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kupik [55]

Answer:

Step-by-step explanation:

32

Step 1 : Draw PQ = 6cm

Step 2 : Construct 60 degree at Q. [Given PQR = 60=> Q = 60 ]

Step 3 : Take 5 cm on compass and mark 5cm on the 60 degree

            line constructed at Q.

Step 4 : The arc of 5cm and 60 degree line  meets is the point R.

             [Given QR = 5cm ]

Step 5 : Given PQ || SR so construct a 120° at R ,

             because ∠PQR and ∠QRS are supplementary angle.

            [ ∠PQR + ∠QRS = 60 + 120 = 180° ]

Step 6 : At P , take 6.5 cm on compass and mark on the line drawn in

             Step 5, to get S. [ Given PS = 6.5 ]

           

33

Given adjacent sides : 4.8 and 4.2

And it is a rectangle.

Step 1 : construct AB = 4.8 cm

Step 2 :At A and B construct 90 degree

Step 3: On the compass take 4.2cm and mark on the 90degree lines

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Step 4 : Mark that as C and D respectively.

Step 5 : Join CD

8 0
3 years ago
Starting with the definition 1.00in. = 2.54 cm, find the number of kilometers in 7.00mi . Please describe conversions.
ella [17]
The answer is 11.265408 km.

To calculate the number of kilometers, we will use several conversions:
A) 1 mi = 63,360 in
B) 1 in = 2.54 cm
C) 1 cm = 0.00001 km

A) 1 mi = 63,360 in
    7 mi = 63,360 in · 7 = 443,520 in

B) 1 in = 2.54 cm
    443,520 in = 2.54 cm · 443,520 = 1,126,540.80 cm

C) 1 cm = 0.001 km
    1,126,540.80 cm = 0.00001 km · 1,126,540.80 = 11.265408 km
6 0
3 years ago
Read 2 more answers
On a map, 1 inch equals 5.2 miles. Two house are 3.5 inches apart on the map. What is the actual distance between the house?
MissTica

Answer:

18.2 miles

Step-by-step explanation:

simple multiplication:

We know that 1 inch of distance on the map is equal to 5.2 miles.

Using this knowledge we can multiply the amount of inches by the miles per inch.

5.2*3.5=18.2 miles apart

Hope this helps!!

4 0
3 years ago
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lapo4ka [179]

Answer:

Percent, Part, whole, I am not sure the rest hope this helped though

Step-by-step explanation:

3 0
3 years ago
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A farmer is comparing the number of eggs laid by two hens. The first hen laid 7 eggs per week for x weeks. The second hen laid 8
nikitadnepr [17]

Answer:

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Step-by-step explanation:

The first hen laid 7 eggs per week for x weeks.  7x

The second hen laid 8 eggs per week for y weeks. 8y

The total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen.

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7 0
4 years ago
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