Answer:
y = 5x/2 + 2
Step-by-step explanation:
We know the equation for slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Since we have the coordinates of one point on this line and the slope, we can substitute that in and find b first:
y = mx + b
-8 = 5/2(-4) + b
-8 = -10 + b
b = 2
So we can use the slope and this y intercept we found to plug back into the equation:
y = mx + b
y = 5x/2 + 2
Answer:
7. Approximately 402.7 inches or 2pi times 64
8. 31.83 To solve this you know 2pi r is an equation for the radius. 2πr=200 and r=200/2π=100/π= 31.83.
9. The one with pi in the equation because 3.14 is only a piece of pi but the symbol represents the whole number which goes on forever.
Step-by-step explanation:
Answer: The equation of the parabola is
.
Explanation:
It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.
The standard form of the parabola is,

Where y=k-p is directrix and (h,k+p) is the focus.
Since focus is given,

On comparing,

.... (1)
The directrix is y=7.
.... (2)
Add equation (1) and (2),


Put this value in (1).

Put p= -6, h= -5 and k=1 in the standard form of the parabola.


Therefore, the equation of parabola is
.
9514 1404 393
Answer:
(b) 40°
Step-by-step explanation:
Angle x and the one marked 70° are alternate interior angles, so are congruent. The sum of the two base angles of the isosceles triangle is ...
x° +x° = 70° +70° = 140°
So, the remaining angle 1 in the triangle is ...
180° -140° = 40°
∠1 = 40°