Step-by-step explanation:
"Solutions to the equation" just means that they are points on the line. To find out if these two points land on this line, plug each one in, like this:
1.5 = (1/4)(1) + (5/4)
1.5 = (1/4) + (5/4)
1.5 = (6/4)
1.5 = 1.5
Since the expression is true, this point is on the line.
Do the same process for the second point (remember a point is formatted (x,y)) and see if it is also a point on the line.
To find the x-intercept, simply plug in 0 for y and see what you get. It should look like (x,0).
Answer:x=17
Step-by-step explanation:
Set 6x+5+5x-12 equal to 180
Simplify into 11x-7=180
Add 7 to both sides to get 11x=187
Divide both sides by 11 to get x=17
Answer:
see the angle is more than 90 and it's obtuse in nature so u can find only supplement of that angle
85,106
The given equation of the ellipse is x^2
+ y^2 = 2 x + 2 y
At tangent line, the point is horizontal with the x-axis
therefore slope = dy / dx = 0
<span>So we have to take the 1st derivative of the equation
then equate dy / dx to zero.</span>
x^2 + y^2 = 2 x + 2 y
x^2 – 2 x = 2 y – y^2
(2x – 2) dx = (2 – 2y) dy
(2x – 2) / (2 – 2y) = 0
2x – 2 = 0
x = 1
To find for y, we go back to the original equation then substitute
the value of x.
x^2 + y^2 = 2 x + 2 y
1^2 + y^2 = 2 * 1 + 2 y
y^2 – 2y + 1 – 2 = 0
y^2 – 2y – 1 = 0
Finding the roots using the quadratic formula:
y = [-(- 2) ± sqrt ( (-2)^2 – 4*1*-1)] / 2*1
y = 1 ± 2.828
y = -1.828 , 3.828
<span>Therefore the tangents are parallel to the x-axis at points (1, -1.828)
and (1, 3.828).</span>
<span>Here's the rule. I'm SURE you learned it in Middle School. Or,
I guess I should say: I'm SURE it was taught in Middle School.
Vertical angles are equal.
"Vertical angles" are the pair of angles that don't share a side,
formed by two intersecting lines.
AND ... even if you forgot it since hearing it in Middle School,
it was clearly explained in the answer to the question that
you posted 9 minutes before this one.
In #8, 'x' and 'z' are vertical angles.
'y' and 116° are vertical angles.
In #9, 'B' and 131° are vertical angles.
In #10, 'B' and 135° are vertical angles.
For all of these, it'll also help you to remember that all the angles
on one side of any straight line add up to 180°. </span>