Answer:
y = 3x + 5
Step-by-step explanation:
1) First, find the slope between the pair of points. Use the slope formula
. Substitute the x and y values of points A and B into the formula and simplify:

So, the slope is 3.
2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.
3) Using slope-intercept format, represented by the equation
, write the equation of the line. Remember that the number in place of
, or the coefficient of the x-term, is the slope. So, substitute 3 for
. Also, remember that
represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:

Answer:
arc GM = 77°
Step-by-step explanation:
full circle = 360°
arc GMH = arc GNJ, so:
arc GMH = (360°- 52°)/2 = 154°
because line MP is perpendicular to line GH, arc GM = arc MH
arc GM = 154°/2 = 77°
Answer:
The graph of the system in the attached figure
Step-by-step explanation:
we have
isolate the variable y
----> equation A
This is the equation of a vertical parabola open down (because the leading coefficient is negative)
The vertex represent a maximum
the vertex is the point (0,2)
---> equation B
This is the equation of a circle centered at (0,0) with radius 3 units
The solution of the system of equations is the intersection points both graphs
using a graphing tool
The solutions are the points (-2.05,-2.19) and (2.05,-2.19)
see the attached figure
Answer:
A: 8+9+10=27
9+10+11=30
10+11+12=13
B: 19+20+21
C: There isn't any.
Step-by-step explanation:
It just is lol.
Answer:
1 question : 0.89 I think.