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Serggg [28]
3 years ago
10

Solve for r. Give an exact answer. 1/2r-3=2(4-3/2r)

Mathematics
1 answer:
Marysya12 [62]3 years ago
3 0

We can use the distribution method for this:

1/2r - 3 = 2(4 - 3/2r)

Multiply 2 by everything inside the parentheses:

1/2r - 3 = 8 - 3r.

Move variables to one side, and numbers to another:

1/2r + 3r = 8 + 3.

3 1/2r = 11.

7/2r = 11.

Divide by 7/2:

r = 22/7.

Not sure this is correct.

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Use the graph below for this question:
skelet666 [1.2K]

The average rate of change of a function f(x) on the interval [a,b] is given by:

f(b) - f(a)

-------------

  b-a


In this specific case, a=2 and b = 3.

f(2) = -3 and f(3) = -1.

Thus, the average rate of change here of f(x) on the interval [2,3] is:

-1 - (- 3)             2

------------- = ------------- = 2 (answer)

    3-2               1

5 0
3 years ago
Justify your reasoning
love history [14]

Answer:

Yes

Step-by-step explanation:

You can conclude that ΔGHI is congruent to ΔKJI, because you can see/interpret that there all the angles are congruent with one another, like with vertical angles (∠GIH and ∠KIJ) and alternate interior angles (∠H and ∠J, ∠G and ∠K).

We also know that we have two congruent sides, since it provides the information that line GK bisects line HJ, meaning that they have been split evenly (they have been split, with even/same lengths).

<u><em>So now we have three congruent angles, and two congruent sides. This is enough to prove that ΔGHI is congruent to ΔKJI,</em></u>

<u><em /></u>

7 0
2 years ago
-2|x-4|+7=-3 how do i solve this absolute value problem
ira [324]
Let's do this step by step:
Subtract both sides by 7
-2|x-4|= -10
Divide each side by -2
|x-4|= 5
Now since this is an absolute value equation, you will have two answers. This means you make the equation both positive and negative.
X-4= 5and -(x-4)= 5
Solve for x for both
X-4= 5: add four on both sides
X= 9
-x+ 4= 5: subtract 4 and divide by -1
X= -1
So your answer is: X= -1 , 9
4 0
3 years ago
(9, 19) (2, 16)<br> Write the coordinates as decimals or integers.
9966 [12]

Answer:

In decimal 0.428571428

Step-by-step explanation:

The slope = (y2 - y1)/(x2 - x1) y2 = 16, y1 = 19x2=2 and x1=9

The slope = (16 - 19)/(2 -9)

The slope = (-3)/(-7)

The slope = 0.428571428

So in decimal form the coordinates are going to be written as 0.428571428

Slope is the steepness of a line, it is the difference between the y coordinates divided by the difference in x coordinates.

6 0
2 years ago
Solve the equation x² = 1.21 *
gogolik [260]

Answer:

x = 1.1, -1.1

Step-by-step explanation:

This is the answer because:

1) Take the root of both sides and solve.

\sqrt{1.21} = 1.1

2) x can also equal -1.1 because -1.1 times -1.1 gives us a positive 1.21 because negative x negative = positive

Hope this helps!

3 0
2 years ago
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