Can you answer all 3 plsplspls
1 answer:
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Answer:
3] 4x -3y = 3
4] x -2y = -2
5] y = 3; x = -1
Step-by-step explanation:
3] The standard form equation can start with the form ...
(y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0
(-9 -(-1))(x -0) -(-6 -0)(y -(-1)) = 0
-8x +6(y +1) = 0
In standard form, we want the leading coefficient to be positive, and we want the constant to be on the right side of the equal sign. We also want the coefficients to be mutually prime (all common factors removed). So, dividing the equation by -2 gives ...
4x -3(y +1) = 0
4x -3y -3 = 0
4x -3y = 3 . . . . standard form equation
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4] Same deal, different points.
(6 -(-5))(x -(-12)) -(10 -(-12))(y -(-5)) = 0
11(x +12) -22(y +5) = 0
x -2y = -2 . . . . simplify to standard form
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5] A horizontal line has the equation y = constant. A vertical line has the equation x = constant. To make these lines go through the given point, the constants need to be equal to the corresponding coordinates:
y = 3
x = -1
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The illustration of the given mathematical elements is as in the attached images.
<h3>Illustration of mathematical elements</h3>For line segments;
- The beginning and end of the line are specified by the assigned alphabets.
However, for rays;
- The ray is illustrated to originate from a point and span on from there till infinity.
For angles;
- The alphabet in the middle of the set of 3 alphabets used to identify the angle represents the center point of where the angle is located.
Read more on illustration of mathematical elements;
M∠A = 42° [isosceles triangle]
m∠B = 180 - 42 - 42 = 96° [in a triangle, the three interior angles always add to 180°]
m∠C = 180 - 96 - (x+12)
m∠C = 84 - x - 12
m∠C = 72 - x
2x+9 + 3x-1 + 72-x = 180
4x + 80 = 180
4x = 180 - 80
4x = 100
x = 100/4
x = 25
m∠C = 72 - x = 72 - 25 = 47°
<span>I hope this helped</span>
m∠B = 180 - 42 - 42 = 96° [in a triangle, the three interior angles always add to 180°]
m∠C = 180 - 96 - (x+12)
m∠C = 84 - x - 12
m∠C = 72 - x
2x+9 + 3x-1 + 72-x = 180
4x + 80 = 180
4x = 180 - 80
4x = 100
x = 100/4
x = 25
m∠C = 72 - x = 72 - 25 = 47°
<span>I hope this helped</span>