$\dfrac{3}{2}x-12=\dfrac{1}{2}x-2\qquad\text{multiply both sides by 2}\\\\3x-24=1x-4\qquad\text{add 24 to both sides}\\\\3x=x+20\qquad\text{subtract x from both sides}\\\\2x=20\qquad\text{divide both sides by 2}\\\\x=10$

$BC=BA\to BC=\dfrac{1}{2}(10)-2=5-2=3$

<h3>Answer: BC = 3</h3>

6 0

3 years ago

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What is the x and y intercepts Of “ -2y=3x-6 “ ?

vesna_86 [32]

$-2y=3x-6\ \ \ \ |:(-2)\\\\y=-1.5x+3$

It's a slope-intercept form where a slope = -1.5 and y-intercept = 3.

x - intercept: y = 0

Therefore we have the equation:

-1.5x + 3 = 0 |-3

-1.5x = -3 |:(-1.5)

x = 2

Answer: x-intercept = 2, y-intercept = 3

5 0

3 years ago

How do I show work for 5- (a-4) = 3 (a+2)

TEA [102]

Here is how I would show the work for this problem

5- (a-4) = 3 (a+2)
5-a+4 = 3*a+3*2
5-a+4 = 3a+6
-a+9 = 3a+6
-a+9+a = 3a+6+a
9 = 4a+6
9-6 = 4a+6-6
3 = 4a
4a = 3
4a/4 = 3/4
a = 3/4

So the solution is the fraction a = 3/4 (in decimal form 0.75)

Let me know if you have any questions or issues with any of the steps shown above. It's a lot to take in so feel free to ask about anything really.

8 0

3 years ago

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Dr.Imos plants a vegetable garden each year.He plants one fourth of his garden in corn.and one half of his garden in tomatoes,He

12345 [234]

Answer: $12

Step-by-step explanation:

0.05 x 240 = $12

Hope this helps!

3 0

3 years ago