Please help me now! (For the first and the second.)
2 answers:
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Step-by-step explanation:
Given expression:
2x - y + 3 = 0
The co-ordinates of the points at which the line intersects the coordinate axes is unknown?
Now,
2x - y + 3 = 0
Let us rearrange the equation;
-y = -2x - 3
Multiply through by (-1);
y = 2x + 3
the point where the line intercept the y- axis, x = 0
so,
y = 2(0) + 3 = 3
Coordinates = (0,3)
the point where the line intercepts the x-axis, y = 0;
0 = 2x + 3
2x = -3
x =
Coordinates = ( , 0)
Solving Equation A
Given the equation A
and point (-3, 3)
The distance from the point (x₀, y₀) to the line Ax+By+C=0 is given by
To apply this formula, we first need to express the line in standard form
After substituting: A=4, B=-1, C=2, x₀=-3, y₀=3
units
Therefore, the distance between the line y = 4x - 2 and the point (-3, 3) will be:
- d=4.1 units
Solving Equation B
Given the equation B
and point (-1, -2)
The distance from the point (x₀, y₀) to the line Ax+By+C=0 is given by
To apply this formula, we first need to express the line in standard form
After substituting: A=4, B=1, C=-5, x₀=-1, y₀=-2
units
Therefore, the distance between the line y = -x + 5 and the point (-1, -2) will be:
- d=5.7 units
<h2>○=> <u>Correct option</u> :</h2><h2>
</h2><h3>○=> <u>Steps to derive correct option</u> :</h3>
Angle (p+7)° and angle (3p+1)° are a linear pair so their sum will be equal to 180°.
Which means :
Let us solve that equation to find the value of p and the two angles :
Thus, value of p = 43
Measure of angle (p+7)° :
Measure of angle (3p+1)° :
Thus, the measure of the larger angle = 130°
Therefore, the correct option is <em>(a) 130</em>