Answer:
y=3
Step-by-step explanation:
This is because it is a straight line, there is no need for x-intercepts or y-intercepts because it already intercepts y at y=3.So, your answer is y=3
9514 1404 393
Answer:
120°
Step-by-step explanation:
There are several ways you can redraw this figure to help you find the value of x. One of them is to draw a line perpendicular to the parallel lines, intersecting the vertices of the given angles*. Then the interior angles of the triangle formed will be ...
125° -90° = 35°
115° -90° = 25°
The angle that is a vertical angle with x is the third angle of the triangle, so its measure is ...
x = 180° -35° -25° = 120°
The value of x is 120°.
To find the tangent line we will need the slope of the tangent at x=-1 (the x-coordinate of the point given). We find the slope by using the derivative of the curve.
Th curve given is

which can be solved for y by taking the root of both sides. We obtain

We find the derivative using the chain rule. Bring down the exponent, keep the expression in the parenthesis, raise it to 1/2 - 1 and then take the derivative of what is inside.

Next we evaluate this expression for x=-1 and obtain:

So we are looking for a line through (-1,2) with slope equal to -9/2. We use y=mx+b with m=-9/2, x=-1 and y=2 to find b.

2-(9/2)=b
b=-5/2
So the tangent line is given by y=(-9/2)x+(-5/2)
Answer:
54°
Step-by-step explanation:
Because p and q are parallel, angle 3 equal to angle 6 as they are alternative angles.
So angle 6 is <u>54°</u>.
Alternative
Line p and line q is parallel, so that the sum of a pair of interior angles (angle 3 and angle 5, angle 4 and angle 6) are equal to 180°.
So angle 4 + angle 6 = 180°.
Find angle 4 first:
180° - angle 3 = angle 4
180° - 54° = 126°
So the measure of angle 6 is
180° - 126° = <u>54°</u>