The transformation of Figure 1 results in Figure 2 is Rotation.
A transformation is a broad phrase covering four distinct methods of changing the shape and/or position of a point, line, or geometric figure. The Pre-Image is the original shape of the object, and the Image during the transformation is the final shape and location of the object.
Transformations in geometry are categorized into three;
As we translate, we move a figure in any direction.
When we flip a figure over a line, we call this reflection.
When we rotate a figure a given amount around a point, we call this rotation.
As we dilate, we enlarge or contract a figure.
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Answer: rotation
Step-by-step explanation:
a rotation about 90degrees
Answer: The area of the path is 280 ft^2
(Note that 280 ft^2 means “280 feet squared”)
Step-by-step explanation: The first clue in this question is the dimensions of the rectangular garden which have been given as 29 ft by 37 ft. So we can conveniently compute the area of the garden as follows;
Area = L x W
(Length is 37 ft and Width is 29 ft)
Area = 37 x 29
Area = 1037 ft^2
However there is a path surrounding the garden which is 2 ft wide on all four sides. This means both borders of the length have an extra 4 feet of measurement while both borders of the width also have an extra 4 feet of measurement. So, if the surrounding border and garden is measured altogether, the length would become (37 + 4= 41) 41 feet while the width would become (29 + 4 = 33) 33 feet. So the area of the garden and the surrounding path inclusive can be calculated as
Area = L x W
Area = 41 x 33
Area = 1353 ft^2
To determine the area of ONLY THE SURROUNDING PATH, we simply deduct the area of the GARDEN ONLY (1073 ft^2) from the area of GARDEN AND SURROUNDING PATH (1353 ft^2)
Therefore area of the path surrounding the garden becomes
Area of path = 1353 - 1073
Area of path = 280 ft^2
x - 7 < -4
-12/x> 10
x + 7 > 5
Substitute the value of x = -2 to the inequalities:
-3x < 1
(-3)(-2) < 1
6 < 1 FALSE
x - 7 < -4
-2 - 7 < -4
-9 < -4 TRUE
-12/x > 10
-12/(-2) > 10
6 > 10 FALSE
x + 7 > 5
-2 + 7 > 5
5 > 5 FALSE
Answer: x - 7 < -4
Answer: x - 7 < -4
Step-by-step explanation:
x - 7 < -4, plug in the -2.
-2 - 7< -4, simplify; -2+-7=-9
=- 9<-4
(x^2+3)(4x−5)
5x^2(x+4)(3x−5)
5x(x^2+3)(4x−5)
5x(x^2−3)(4x+5)
The expression correctly shows 20x⁴-25x³+60x²-75x will be 5x(x²+3)(4x-5).Option C is correct.
An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that,
The expression is,
=20x⁴-25x³+60x²-75x
Take 5x³ from the first two terms and 15x from the third and fourth terms as
=20x⁴-25x³+60x²-75x
=5x³(4x-5) + 15x(4x-5)
=(5x³+15x)(4x-5)
Thus, the expression correctly shows 20x⁴-25x³+60x²-75x will be 5x(x²+3)(4x-5). Option C is correct.
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Step-by-step explanation:
The third option: 5x(x^2+3)(4x-5)
because FOIL first, inner, outter, last
The two parentheses become (4x^3-5x^2+12x)
then 5x outside multiplys that whole parentheses. To get your correct expression
3x
3 + x
x3
x + 3 + x
Answer:
x + 3 + x
Step-by-step explanation:
The sum of three terms means that three terms have been added.
3x is the answer; it does not show the terms being added.
3+x is the sum of two terms.
x³ is a product.
x+3+x shows 3 things being added, so it is the correct answer.
Answer:
x+3+x
Step-by-step explanation:
Answer: 4.5 feet he can buy if he has $11.25
Step-by-step explanation:
Since we have given that
Cost of candy per foot = $2.50
Total money he spent on candy = $11.25
Let the number of feet he can bought be x
Now, According to question, we get that ,
So, 4.5 feet he can buy if he has $11.25.
SUPER confused... Help would be awesome!!!
1st question: 20%, 2nd question: 64%, missing number of rolls is 7
Step-by-step explanation:
Since she rolled the die 25 times, that means she rolled the number 6 seven times.
2 - 4
3 - 1
(4+1)/25
5/25 = 1/5 = 20%
4 - 5
6 - 7
(4+5+7)/25
16/25 = 64%