Answer:
Step-by-step explanation:
After selecting A there are 6 letters that are not K out of the remaining 7 letters so
P(!K)=6/7
Answer:
The graph does not intercept the x-axis
Step-by-step explanation:
Hi there!
When the discriminant is positive, it means that in the quadratic equation, you <em>can</em> take the square root of this number and end up with two distinct solutions, one negative and one positive. The graph will intercept the x-axis twice.
When the discriminant is zero, it means that you won't be taking the square root of any number in the quadratic equation and you'll end up with two solutions that are equal, or just one distinct solution. The graph will intercept the x-axis once.
When the discriminant is negative, it means that the quadratic has no real solutions, meaning that it does not intercept the x-axis. It is impossible to take the square root of a negative number.
I hope this helps!
Answer:
x=5
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
The box is a right angle which is 90 degrees
60+6x+90 = 180
Combine like terms
150+6x= 180
Subtract 150 from each side
150-150+6x = 180-150
6x = 30
Divide by 6
6x/6 =30/6
x = 5
Answer:
2 sets of possible solutions:
x=3, y = 5
and
x=-1, y = -3
Step-by-step explanation:
Using the graphical method, (see attached)
you can graph both equations and find their intersection points.
From the attached plot, you can see that the graphs intersect at (3,5) and (-1,-3)
Alternatively, you can solve this numerically by solving the following system of equations. You will get the same answer.
y = 2x + 1 ------------------- eq. (1)
y = x² - 4 ------------------- eq. (2)
Answer:
Step-by-step explanation:
The formula of an area of a rectangle:
l - length
w - width
We have
Substitute:
<em>divide both sides by 15</em>
The formula of a perimeter of a rectangle:
Substitute:
