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3 years ago

If triangle def is rotated 180 degrees clockwise around the origin, what will be the coordinates of E’ in the image ?

Mathematics

2 answers:

arlik [135]3 years ago

7 0

Answer:

the answer is -3,-1

Step-by-step explanation:

Harlamova29_29 [7]3 years ago

5 0

E' (-3,-1)

When rotating 180° clockwise about the origin the coordinates of the image will be the same x and y numbers but the opposite sign of the pre-image. Using the above as an example, pre-image E is located at (3,1) so the rotated image would be E' (-3,-1). Pre-image D is located at (-1,3) so the rotated image would be D' (1,-3). Pre-image F is located at (2,-2) so the rotated image would be F' (-2,2).

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Can somebody help me find the surface area of this

-Dominant- [34]

Answer:

G. 7600 $cm^{2}$

Step-by-step explanation:

Step 1: Deconstruct the shape

2 rectangles with dimension of 50 cm x 20 cm

2 rectangles with dimension of 40 cm x 20 cm

2 rectangles with dimension of 40 cm x 50 cm

Step 2: Find surface area of the shapes

2(50 x 20) = 2000 $cm^{2}$

2(40 x 20) = 1600 $cm^{2}$

2(40 x 50) = 4000 $cm^{2}$

Step 3: Add the surface areas together

2000 + 1600 + 4000 = 7600 $cm^{2}$

Therefore the surface area is 7600 $cm^{2}$ and the answer is G.

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3 years ago

Write a definite integral that represents the area of the region. (Do not evaluate the integral.)

joja [24]

Answer:

$\int_{-1}^{1}7(x^{3}-x)\:dx$

Step-by-step explanation:

1) The other curve is $y=0$ then the common points of both curves are x-intercepts, the roots of $y=7(x^{3}-x)$

$y=7(x^{3}-x)\Rightarrow 7(x^3-x)=0 \Rightarrow 7(x^{3}-x)=7x(x-1)(x-1)\Rightarrow \\S=\left ( 0,0 \right ),\left ( -1,0 \right ),\left ( 1,0 \right )$

2). Then those intersection points are the upper and the lower limits. Plugging in to this formula for they belong to the interval [-1,1]:

$\int_{a}^{b}|f(x)-g(x)dx$

$\int_{a}^{b}|f(x)-g(x)dx \Rightarrow \int_{-1}^{1}|7(x^{3}-x)-0|dx \Rightarrow \int_{-1}^{1}7(x^{3}-x)\:dx$

8 0

3 years ago

Solve for n. 2n - 3 5 = = 5 Enter your answer in the box. n =

Zina [86]

Answer:

$2n - 35 = 5 \\ 2n = 5 + 35 \\ 2n = 40 \\ n = 40 \div 2 \\ n = 20$

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2 years ago

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miv72 [106K]

Answer:

½ mph

Step-by-step explanation:

1 mi. = 5280 ft.

2640⁄5280 = ½

I am joyous to assist you anytime.

4 0

3 years ago

Check all that apply. π/6 is the reference angle for:

pogonyaev

Answer:

The correct is choice B.

Step-by-step explanation:

π/6 is an angle located in the first quadrant. Consequently, the equivalent angle for which it references should also be located in this same quadrant and is obtained by adding 2π to π/6 which becomes 13π/6

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2 years ago

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