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OLEGan [10]
2 years ago
13

Which of the expressions below are equivalent to 0.5( 4x + 12)

Mathematics
2 answers:
kogti [31]2 years ago
5 0
The correct answer is B.
0.5(4x + 12)
2x + 6
Tomtit [17]2 years ago
3 0
The correct answer is B.
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Write a two-column proof.
irga5000 [103]

Proof:-

In ∆XYZ and ∆VWZ

\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf

Hence

∆XYZ\cong∆VWZ(Side-Angle-Side)

8 0
2 years ago
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Simplify (3/4ab^7)^3
stira [4]

Answer:

33a3b21  

 ———————

   26  

Step-by-step explanation:


3 0
2 years ago
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Which equation does the graph of the systems of equations solve?
mihalych1998 [28]

Answer:

\text{B. }\frac{1}{3}x-3=-x+1

Step-by-step explanation:

Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to (x_1,y_1) and (x_2, y_2) (doesn't matter which you assign) and use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let:

(x_1,y_1)\implies (0,1)\\(x_2,y_2)\implies (1, 0)

The slope is equal to:

m=\frac{0-1}{1-0}=\frac{-1}{1}=-1

Therefore, the slope of this line is -1. In slope-intercept form y=mx+b, m represents slope, so one of the lines must have a term with -x in it, which eliminates answer choices A and D.

For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

(x_1,y_1)\implies (0,-3)\\(x_2,y_2)\implies (3, -2)

Using the slope formula:

m=\frac{-2-(-3)}{3-0}=\frac{1}{3}

Thus, the slope of the line is 1/3 and the other line must have a term with \frac{1}{3}x in it, eliminating answer choice C and leaving the answer \boxed{\text{B. }\frac{1}{3}x-3=-x+1}

*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into y=mx+b

7 0
2 years ago
Which expression is equivalent to 24x + 12?
Lyrx [107]

You can factor 12 from both terms to get

24x+12 = 12(2x+1)

7 0
3 years ago
What is the quotient of 4 2/3 divided by 4 1/5 :fraction
Ostrovityanka [42]
Write the two fractions as improper fractions 
4  2/3 is 14/3
<span>4  1/5</span> is 21/5
rewrite
14/3 <span>÷ 21/5
since it is pretty complicated to divide two fractions, 
you change it to multiplication
keep the first fraction, change the division sign to multiplication, then flip the second fraction
(you can remember KEEP, CHANGE, FLIP whenever dealing with division of fractions :) )
14/3 * 5/21
multiply across
(14 * 5) / ( 3 * 21)
</span>70/ 63
simplify to 10/9
this can be written as 1  1/9

Hope this helps
8 0
3 years ago
Read 2 more answers
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