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3 years ago

Quadrilateral ABCD is reflected across the y-axis and translated 1 unit down to create quadrilateral EFGH .

Mathematics

1 answer:

sleet_krkn [62]3 years ago

8 0

GH is parallel to FE

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−2(3x−4)−x−3= \,\,33 33

notsponge [240]

Answer: $=-7x+5$

Step-by-step explanation:

$-2\left(3x-4\right)-x-3$

$=-\left(2\left(3x-4\right)+x+3\right)$

$=-\left(6x-8+x+3\right)$

$=-\left(7x-5\right)$

$=-7x+5$

5 0

2 years ago

Rewrite the expression using the distributive property 2(4 + X)

Novosadov [1.4K]

Answer:

2(4 + X)

2*4 + 2*X

8+2X

thank you

Step-by-step explanation:

hope my answer is helpful to you

3 0

2 years ago

Read 2 more answers

Please explain how you got your answer

zhuklara [117]

H is the answer
and the line of the symmetry is like the picture

8 0

3 years ago

Three security cameras were mounted at the corners of a triangles parking lot. Camera 1 was 110 ft from camera 2, which was 137

Nata [24]

Answer:

Camera 2nd has to cover the maximum angle, i.e. $78.70^\circ$ .

Step-by-step explanation:

Please have a look at the triangular park represented as a triangle $\triangle ABC$ with sides

a = 110 ft

b = 158 ft

c = 137 ft

1st camera is located at point C, 2nd camera at point B and 3rd camera at point A respectively.

We can use law of cosines here, to find out the angles $\angle A, \angle B, \angle C$

As per Law of cosine:

$cos C = \dfrac{a^{2}+b^2-c^2 }{2ab}\\cos B = \dfrac{a^{2}+c^2-b^2 }{2ac}\\cos A = \dfrac{b^{2}+c^2-a^2 }{2bc}$

Putting the values of a,b and c to find out angles $\angle A, \angle B, \angle C$ .

$cos C = \dfrac{110^{2}+158^2-137^2 }{2\times 110 \times 158}\\\Rightarrow cos C = \dfrac{12100+24964-18769 }{24760}\\\Rightarrow cos C =0.526\\\Rightarrow C = 58.24^\circ$

$cos B = \dfrac{110^{2}+137^2-158^2 }{2\times 110 \times 137}\\\Rightarrow cos B = \dfrac{12100+18769 -24964}{30140}\\\Rightarrow cos B = \dfrac{5905}{30140}\\\Rightarrow cos B =0.196\\\Rightarrow B = 78.70^\circ$

$cos A = \dfrac{158^{2}+137^2-110^2 }{2\times 158 \times 137}\\\Rightarrow cos A = \dfrac{24964+18769-12100}{43292}\\\Rightarrow cos A = \dfrac{31633}{43292}\\\Rightarrow cos A = 0.731\\\Rightarrow A = 43.05^\circ$

Camera 2nd has to cover the maximum angle, i.e. $78.70^\circ$ .

6 0

3 years ago

A town is designing a rectangular park that will be 600 feet by 1000 feet. A rectangular area of the park for swing sets will be

drek231 [11]

Scale factor = 0.5 / 25 = 0.02 inches per foot

on scale drawing of the park the dimensuons will be 600 * 0.02 by 1000*0.02
= 12 inches by 20 inches

8 0

2 years ago

Read 2 more answers