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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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2 years ago
A certain kite has exactly one acute angle, and it measures 16 degrees. What is the maximum whole-number measure of the angle op
kvv77 [185]

Answer:

In order to do so, we need to use basic algebra. The angles in a kite add up to 360 degrees. so we form the following equation.

x + y + y + 16 = 360

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Each letter or variable represents an angle measure. the measures of the three angles left. The 16 degrees is on the bottom of the kite and the angle opposite is the top angle. the two side angles will be the same measure that's why they are both y.

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The two side angles will be 90 or greater because there is only 1 acute angle. 90 is the smallest number that can be chosen. so we do the following.

Step-by-step explanation:

x + 2(90) = 344

x + 180 = 344

x = 344-180

x = 164

THE MAXIMUM WHOLE NUMBER MEASURE OF THE ANGLE OPPOSITE OF THE 16 DEGREE ACUTE ANGLE IS 164 DEGREES*

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3 years ago
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Answer:

$503.35

Step-by-step explanation:

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2 years ago
The area of a rectangle whose base measures 4 cm is greater than 24 cm. Which graph represents all possible values for the heigh
Bond [772]

Answer:

Whichever one shows >24

Step-by-step explanation:

Which ever one that is greater than 6

7 0
3 years ago
Read 2 more answers
Factorieze
Ne4ueva [31]
X^2-4x-5=0
according viet’s theorem
the roots are 5 and -1
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