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Leviafan [203]
2 years ago
9

2. Simplify the following problem using the distributive property: 2x+3y+2(x-y)-3x . Show each step in your calculation. Justify

each of your steps using number properties.
Mathematics
2 answers:
sergeinik [125]2 years ago
8 0
Multiply everything in the parenthesis by 2.

2x + 3y + 2x - 2y - 3x

Combine like terms.

x + y

Hope this helps!
Lady_Fox [76]2 years ago
7 0
First use the distributive property to distribute the 2

2x+3y+2x-2y-3x

Next combine like terms (combine the x’s with the x’s, and the y’s with the y’s)

-x+y is your answer
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8 0
3 years ago
Please answer !!!!!!!
Akimi4 [234]

The measure of all the angles is given below:

angle 1= 30

angle 2=  150

angle 3= 30

angle 4= 150

angle 5= 30

angle 6= 150

angle 7= 30

angle 8= 73.5

<h3>What is angle?</h3>

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

As,

angle 1= 30 (Vertically opposite angle)

angle 7= 30 (corresponding angle)

angle 4+30= 180 (linear pair)

 angle 4= 150

angle 4= angle 2= 150 (Vertically opposite angle)

angle 2= angle 6= 150  (corresponding angle)

angle 1= angle 5= 30  (corresponding angle)

angle (2x+3)= angle 4  (corresponding angle)

     2x+3= 150

      x= 73.5

Lean more about angle here:

brainly.com/question/13954458

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7 0
1 year ago
PLEASE HELP I WILL MARK!!
Rina8888 [55]

answer is D

Explamation:

given points are (7,9) and (12,11)

mid \: point \: of \: x =  \frac{x1 + x2}{2 }  =  \frac{7 + 12}{2}  = 9.5 \\ midpoint \: of \: y =  \frac{y1 + y2}{2}  =  \frac{9 + 11}{ 2} = 10

therefore the mid point is (9.5,10)

8 0
3 years ago
A parabola can be drawn given a focus of
Volgvan

Answer:

y=-\frac{1}{4}(x-2)^{2}+9

Step-by-step explanation:

Any point on a given parabola is equidistant from focus and directrix.

Given:

Focus of the parabola is at (2,8).

Directrix of the parabola is y=10.

Let (x,y) be any point on the parabola. Then, from the definition of a parabola,

Distance of (x,y) from focus = Distance of (x,y) from directrix.

Therefore,

\sqrt{(x-2)^{2}+(y-8)^{2}}=|y-10|

Squaring both sides, we get

(x-2)^{2}+(y-8)^{2}=(y-10)^{2}\\(x-2)^{2}=(y-10)^{2}-(y-8)^{2}\\(x-2)^{2}=(y-10+y-8)(y-10-(y-8))...............[\because a^{2}-b^{2}=(a+b)(a-b)]\\(x-2)^{2}=(2y-18)(y-10-y+8)\\(x-2)^{2}=2(y-9)(-2)\\(x-2)^{2}=-4(y-9)\\y-9=-\frac{1}{4}(x-2)^{2}\\y=-\frac{1}{4}(x-2)^{2}+9

Hence, the equation of the parabola is y=-\frac{1}{4}(x-2)^{2}+9.

4 0
3 years ago
At Max party,3/12 of the guests are 10 years old and 7/12 of the guests are 11 years old. What fraction of the guests are 10 or
Pavlova-9 [17]

Answer:

10/12

Step-by-step explanation:

3/12 + 7/12 = 10/12

7 0
3 years ago
Read 2 more answers
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