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xxTIMURxx [149]
2 years ago
11

Find the intersection point between the lines of equations:2x-y+6=0 and 2x+3y-6=0 ​

Mathematics
2 answers:
Ugo [173]2 years ago
8 0

Step-by-step explanation:

The two equation will intersect each other at the point which will be the solution of the given two equations , and the given equations are ,

\implies 2x -y +6=0\\\\\implies 2x + 3y -6=0

On subtracting the given equations we have,

\implies -y - 3y +6 -(-6) = 0 \\\\\implies -4y = -12 \\\\\implies y = -12/-4\\\\\implies y = 3

Put this value in any equation , we have ,

\implies 2x -3 +6 =0\\\\\implies 2x = -3 \\\\\implies x =\dfrac{-3}{2} \\\\\implies x =-1.5

Hence the lines will Intersect at ,

\implies\underline{\underline{ Point=(-1.5, 3)}}

ella [17]2 years ago
7 0

for the first one x = 1/2 y-3" and y = 2 x + 6 and for the other one is x =  − 3 /2  y+ 3  and y= − 2 /3  x + 2

how i did this Step 1: Add -3y to both sides.

Step 2: Add 6 to both sides.

Step 3: Divide both sides by 2.

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Point A is located at ​(4, 8)​ and point B is located at ​(14, 10)​ . What point partitions the directed line segment ​ AB⎯⎯⎯⎯⎯
andrew11 [14]

The 1:3 ratio means that the distance from A to the point is 1/4 of the distance from A to B.

The difference of y-coordinates is 10-8 = 2. 1/4 of that is 2·1/4 = 1/2, so the point of interest will have y-coordinate 8 + 1/2 = 8 1/2. This apparently corresponds to the first selection:

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7 0
3 years ago
(3Q) Find the amplitude and period of f(t)= -tan.0t
Vanyuwa [196]

Answer:

It has no amplitud and the period is 5pi/2

Step-by-step explanation:

Given a function of the following type:

f(t) = AtanB(t + C)

The function has no amplitud, given that it doesn't have maximum or minimum value.  And the period is given by: pi/B

In this case, we have f(t)= -tan0.4t. Then:

B = 0.4

⇒ Period = pi/0.4 = 5pi/2

Therefore, the answer is: It has no amplitud and the period is 5pi/2

8 0
3 years ago
This is an isosceles trapezoid.
Ad libitum [116K]

Answer:

105°

Step-by-step explanation:

X and 75 has to add up to 180

so 180 - 75 = 105°

3 0
2 years ago
(4-9-8)÷3×3please help AFAP​
Elenna [48]

Answer:

I am not really sure but try this -13/9 or -13 divided by 9

Step-by-step explanation:

7 0
2 years ago
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Morgan's mom wants to borrow $720 to buy a new computer. The store will charge her 8% simple interest for one year. How much wil
Afina-wow [57]

Answer:

$777.60

Step-by-step explanation:

8/100 = 0.08

0.08 * 720 = 57.6

57.6 + 720 = 777.6

8 0
3 years ago
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