Step 1: Find the slope
Slope formula = (y2 - y1) / (x2 - x1)
---You can choose any two points when finding the slope!
Point 1 = (-2,-10)
Point 2 = (-1,-3)
Slope = (-3 - - 10) / (-1 - - 2)
Slope = 7 / 1
Slope = 7
Step 2: Find the y-intercept
Now that we have the slope, we'll plug that and one point into slope-intercept form. Then, we'll solve for b.
Slope-Intercept Form: y = mx + b
---m is the slope, b is the y-intercept
Point = (-1, -3)
Slope = 7
-3 = 7(-1) + b
-3 = -7 + b
b = 4
Step 3: Put it all together
Now that we know the slope and y-intercept, all that's left to do is plug them into slope-intercept form.
Slope-Intercept Form: y = mx + b
Slope = 7
Y-Intercept = 4
Line: y = 7x + 4
Correct Answer: A
Hope this helps!
A box (cube) has all equal edges or sides (s), thus the volume (v) of the cube is:
So since each side or edge around is 3 in, then the length around the square bottom of the box = 4×3 = 12 in
Answer:
First angle is 71, and the other is 19
A complementary angle is 90, so 71 + 19 = 90, while having a 52 degree difference
Answer:
Option 4.) month 4
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (3,27)
That means -----> For x=3 months, the populations in both functions are the same (the bacteria populations is 27)
therefore
For x> 3 months the f(x) population is greater then the g(x) population
A vertical line has an equation of the form x = k, where k is the x-coordinate of all points on the line.
You have a vertical line. It passes through the point (-3, 0), so for this line, k = -3.
The vertical line has equation x = -3.
The line is dashed, not solid, so you have either < or >, but not <= or >=.
Also, notice the shading is to the left of x = -3, so all values of x are less than -3.
The inequality is
x < -3
