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Ivahew [28]
3 years ago
13

Combining like terms

Mathematics
1 answer:
MAXImum [283]3 years ago
4 0

Combine like terms to simplify an expression. For example, all terms with the variable x can be combined into one term. All constants can also be combined.

1) -4x - 10x = -14x

2) -r - 10r = -11r

3) -2x + 11 +6x = 4x + 11

4) 11r - 12r = -r

5) -v + 12v = 11v

6) -8x - 11x = -19x

7) 4p + 2p = 6p

8) 5n + 11n = 16n

9) n + 4 - 9 - 5n = -4n - 5

10) 12r + 5 + 3r - 5 = 15r (the 5 and -5 cancel each other out)

11) -5 + 9n + 6 = 9n + 1

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Plz help, it a question on a test due soon.
allochka39001 [22]

Answer:

y=3x+1

Step-by-step explanation:

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3 0
3 years ago
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3 years ago
Two of the vertices of a rectangle are (1, −6) and (−8, −6). If the rectangle has a perimeter of 26 units, what are the coordina
pantera1 [17]

Answer:(x_1,y_1)=(1,-2)

(x_2,y_2)=(-8,-2)

Step-by-step explanation:

Given

Co ordinates of vertices(1,-6) and (-8,-6)

When two points is given then Length of two points is given by

L=\sqrt{\left ( x_2-x_1\right )^2+\left ( y_2-y_1\right )^2}

L=\sqrt{\left ( 1-\left ( -8\right )\right )^2+\left ( -6+6\right )^2}

L=\sqrt{9^2}=9 units

Perimeter of rectangle is =26 units

Let the other side be x

thus

2\left ( x+9\right )=26

x+9=13

x=4 units

therefore to get the other two co ordinates

such that the length of that side is 4 units is

(x_1,y_1)=(1,-2)

(x_2,y_2)=(-8,-2)

Horizontal distance will remain same only vertical distance will change in given co ordinates to obtain the remaining two co ordinates

To verify the above two  distance between two points must be 13 units

6 0
3 years ago
A 70-foot wire attached to the top of a building is anchored to the ground 20 feet from the base of the building. Which value is
JulijaS [17]

Answer:

The the angle which the wire make with the ground is 1.280 radian .

Step-by-step explanation:

Given as :

The length of the wire attached to the top of building = OB = 70 foot

The distance of wire anchored from base of ground = OA = 20 feet

Let the angle made by wire en and ground = Ф

Now from ,  In Triangle AOB

Cos angle = \dfrac{\textrm Base}{\textrm Hypotenuse}

Or, Cos Ф =  \dfrac{\textrm OA}{\textrm OB}

or, Cos Ф =  \dfrac{\textrm 20}{\textrm 70}

Or, Cos Ф =  \dfrac{\textrm 2}{\textrm 7}

∴  Ф = Cos^{-1}(\frac{2}{7})

I.e Ф = 73.39°

Now in radian ,

∵ 180° = \pi radian

∴ 73.39° = \frac{\pi }{180} × 73.39°

             =  \frac{3.14 }{180} × 73.39° = 1.280 radian

Hence The the angle which the wire make with the ground is 1.280 radian . Answer

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Answer: 40 mins

Step-by-step explanation:

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