Find value of determinant.
The determinant is a term that is inside a square root and part of the quadratic formula used for solving quadratic equations.
Let determinant be 'd'.
If d >0, Then there are 2 real solutions
If d = 0, Then there is only 1 real solutions
If d < 0, Then there are 0 real solutions but 2 imaginary solutions
d = b^2 - 4ac
For this problem, the coefficients are:
a = 1, b = -3, c = 8
d = (-3)^2 - 4(1)(8)
d = 9 -32 = -23
d is less than 0, therefore there are 0 real solutions and 2 imaginary solutions.
This is true because you cannot take square root of a negative number.
Max needs to run 15 laps around the track.
Step-by-step explanation:
Given,
Distance Max wants to run = 512 miles
Length around the track = 34 mile
34 miles = 1 lap
1 mile = 
512 miles = 
512 miles = 15.06 laps
Rounding off to nearest whole number;
512 miles = 15 laps
Max needs to run 15 laps around the track.
Keywords: unit rate, division
Learn more about division at:
#LearnwithBrainly
Answer:
Yes, the polygons are similar.
Step-by-step explanation:
A similar polygon is a polygon that shares the same scale factor as another polygon. A scale factor is a number you can multiply each side by to get a similar figure,
Step 1:
Divide a few of the sides. You do not need to divide every side to find the ratio, but do at least 2 or 3 to guarantee that the scale factor remains the same throughout the sides. Let’s divide a few pairs of sides.



Step 2:
To really be safe, even though we can clearly tell this is a similar figure, is we can multiply each side on the right figure by 1.5, our scale factor, and see if we generate the sides on the left figure.



And this is why the polygons are similar :)
That would be Graph C
The solution is where the 2 graphs intersect At A and B.
x + y + 2 = 0 transforms to y = -x - 2 which has slope -1 and y-intercept of -2
as in Graph C.
Answer:
what is this
Step-by-step explanation: