Write the equation in Slope - intercept form by solving for y. 2x+3y=12
2 answers:
When they ask you to solve for y, they just want you to isolate it on one side of the equal sign (like how it is in a slope-intercept form equation). So to start:
2x + 3y = 12
3y = -2x + 12 <em>Subtract 2x from both sides to move it to the right.</em>
y = + 4 <em>Divide both sides by 3 to completely isolate the y value.</em>
Notice how y = + 4 is a slope-intercept form equation and is solved for y.
Therefore, the equation would be y = + 4.
<em>Hope this helps! :)</em>
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Answer:
3. 37°, 37°, and 106°
Step-by-step explanation:
I am doing #3 as shown in the picture.
Isosceles triangle is a triangle with 2 sides same and their opposite angles same. Those angles are congruent and called base angles. The remaining angle is the vertex angle.
We let each of the base angles as "b" and the vertex angle as "v".
Now,
Vertex Angle is 5 less than 3 times one of the base angles, we can write:
We also know that 3 angles in a triangle add up to 180 degrees, so we can write:
v + b + b = 180
v + 2b = 180
(3b - 5) + 2b = 180
We have replaced "v" with the first equation and created an equation in "b". So now we can solve for b:
Now, finding v:
v = 3b - 5
v = 3(37) - 5
v = 106
Thus, the three angles of the triangle are:
37°, 37°, and 106°