Show that (x+1)(x+3)(x+5) can be written in the form ax^3+bx^2+cx+d where a,b and c are all positive integers, and d is a negati
ve integer
2 answers:
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Yes, it has the same result
look at the picture. the red triangle is the first image. the green one is the result of reflecting over x-axis. then if you reflect it over y-axis, it would be the purple triangle
if you had rotated the red triangle at first, it would have the same result
good luck
look at the picture. the red triangle is the first image. the green one is the result of reflecting over x-axis. then if you reflect it over y-axis, it would be the purple triangle
if you had rotated the red triangle at first, it would have the same result
good luck
Answer: The correct answer is: [B]:
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→ " 35 square units " .
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{or; write as: " 35 sq units " ; or; " 35 units² " .}.
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Step-by-step explanation:
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Note that the area, "A" ; of a "parallelogram" ;
→ {for which we wish to solve} ;
→ can be calculated by using the formula:
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→ " A = b * h " ;
→ { that is: " Area = base * height " } ;
→ in which:
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→ "A" is the "area" [of the parallelogram] ;
in: [ "square units" ; or: "sq units" ; or: "units² " ] ;
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→ "b" is the "base length" (of one of the bases of the parallelogram) ;
{Note that both bases of a parallelogram have equal lengths.
— Refer to "image attached" for additional information.}.
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→ "h" is the "perpendicular height" [of the parallelogram] ;
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<u>Note</u>:
- All rectangles are parallelograms, but not all parallelograms are rectangles.
- All squares are rectangles, but not all rectangles are squares.
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So, let us consider a "rectangle" that is not a square;
→ but has 4 (four) right angles; as follows:
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Rough sketch:
base (b)
---------------------------
| | height (h)
|_____________ |
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The formula (equation) for the area, "A" ; of a rectangle is:
→ " A = b * h " ;
→ { that is: " Area = base * height " .} .
→ Since a rectangle is a parallelogram;
→ The formula (equation) for the area, "A" ;
for <u><em>Any parallelogram</em></u> <u><em>is the same</em></u> :
→ " A = b * h " ;
→ { that is: " Area = base * height " .} .
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→ However, it is important to remember that the formula/equation for the "area, "A" ; for <em><u>any parallelogram</u></em> — [<em><u>including All rectangles</u></em>] — is actually:
→ " A = b * h " ; that is: " <u>Area = base * [perpendicular] height</u> " .
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Note that we are Not Given Any "image attached" that represents the: "parallelogram" —
<u>Note</u>: Refer to the text within "this very Brainly question being asked" ; that is; the following text:
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"the parallelogram ABCD" that is "shown below" {sic} ; as stated within the question.
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Nonetheless:
We are given:
h (height) = 7 units ; And:
b (base) = 5 units. ;
<em><u>For our purposes</u></em>, let us assume that the given "height, "h" = 7 units" ;
→ refers to the "<u><em>perpendicular height </em></u>" ;
Now, we can calculate the "Area; A" ; in "square units" ; as follows:
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→ " A = b * h " ; Solve for: "A" ;
Plug in our given values for "b" and "h" ; to solve for "A" ;
→ " A = (5 units) * (7 units) " ;
= 5 * 7 * units * units " ;
" A = 35 units² ;
or: " 35 square units " ;
→ which is:
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Answer choice: [B]: " 35 square units " .
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<u>Note</u>: Refer to "image attached" ; to refer to: "<em><u>perpendicular height</u></em><em> </em>" — as regards to many "traditional" types of " <em><u>parallelograms</u></em> " .
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Hope this helps!
Best wishes to you in your academic pursuits
— and within the "Brainly" community, as well!
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The sum of the measures of all the interior angles of the pentagon is 540°. Option B
<h3>How to determine the sum</h3>Note that
Sum of Interior Angles in a Pentagon = 540°
A pentagon is formed from three triangles, so the sum of angles in a pentagon = 3 × 180° = 540°
If one of the interior angles = 108°, then the other two angles = 2 * 108° = 216°
The sum of the interior angles = 108° + 216° = 540°
Therefore, the sum of the measures of all the interior angles of the pentagon is 540°
Learn more about a pentagon here:
#SPJ1
