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mamaluj [8]
3 years ago
14

Simplify the following expression 2x-5(2x-7y+3)+(-8)

Mathematics
1 answer:
Mashutka [201]3 years ago
4 0
You need to distribute the -5 and(2x-7y+3)which gives you -10x+35y-15. Now you have 2x-10x+35y-15+-8. Combine like terms, 2x-10x=-8x, also combine -15+-8= -23. The answer would be -8x+35y-23.
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Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.
natta225 [31]

Answer:

Correct answer is:

The transformation was a 180° rotation about the origin.

Step-by-step explanation:

Given the triangle RST formed by points:

R (1, 1),\\S (3, 1)\ and\\T (1, 6)

is transformed using (x, y) → (–x, –y) such that coordinates of triangle R'S'T' :

R' (-1, -1),\\S' (-3, -1)\ and\\T' (-1, -6)

Please refer to the attached image for the given dimensions and coordinates.

It is clearly visible that:

The given triangle RST has coordinates in first quadrant.

and the resulting coordinates R'S'T' are in third quadrant.

The rotation of angle from 1st quadrant to 2nd quadrant is 90^\circ and

The rotation of angle from 2nd quadrant to 3rd quadrant is 90^\circ.

<em></em>\therefore<em> total rotation is </em>180^\circ.

8 0
3 years ago
How do i get x by itself
Novay_Z [31]
Add 2+6 that gives you x then add 10+30 then add them numbers and divide x by it’s self
8 0
3 years ago
-2 + 6 &lt; -10 What is the answer
Natali5045456 [20]

Answer: I don’t know why don’t you think

Step-by-step explanation:

8 0
2 years ago
There are two non congruent triangles where B=55 degrees a=15 and b=13. Find the measures of the angles of the triangle with the
liq [111]

Answer:

The side c needs to be 12.85 for the triangle to have greatest perimeter

Step-by-step explanation:

We are given;

b = 13

a = 15

Angle at b: B = 55°

Let's find side c.

Using the law of cosines,we have;

b² = a² + c² - 2ac•cos(B)

13² = 15² + c² - 2•15•c•cos(55)

169 = 225 + c² - 30c•cos(55)

c² - 30c•cos(55) + 225 - 169 = 0

c² - 30c•cos(55) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 17.208c + 56 = 0

Using quadratic formula;

c = [-(-17.208) ± √((-17.208)² - (4•1•56)]/2(1)

c = [17.208 ± √(296.115 - 224)]/2

c = 8.604 ± 4.246

To have the greater perimeter, we need the larger value of c, thus we will use the positive sign and ignore the negative one ;

Thus,

c = 8.604 + 4.246 = 12.85

5 0
3 years ago
Simplify the following expression: (−3)(−2)( −2)<br> A −12<br> B 12<br> C −18<br> D 18
nydimaria [60]
A -12 Hope this helps
7 0
3 years ago
Read 2 more answers
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