Answer:
Greatest integral value of K = 3.
Step-by-step explanation:
The nature of the roots of a quadratic equation is determined by the sign of the discriminant, b^2 - 4ac. For non-real roots this is negative.
2x^2 - kx + 9 = 0
The discriminant = (-k)^2 - 4*2*2 , so:
k^2 - 16 < 0 for non-real roots.
k^2 < 16
k < √16
k < 4
So the answer is 3.
The greatest integral value is 8.
Because if the number was rational then we can tell by looking at the numbers. The rational number should be one number or a repeating decimal or terminating number. plus because if a number was like this 5.7696... that means its irrational because we dont know the end of the number. The rational numbers are terminating numbers or either decimal or repeating numbers because we know the end of those numbers.
The answer would be 2 because a square root has to be the same 2 numbers which is 2 for this example. 2x2=4. Hope this helps! If you have anymore questions please ask me. Stay Safe! And have a good day!
Answer:
In the equation y=mx+b, 'm' is the slope of the line and 'b' is the y-intercept.
First, you should find the slope of the line. To do this, use the equation M=y2-y1/x2-x1. Using the two given points (3,6) and (8,4), you can solve for M.
M=4-6/8-3
M=-2/5 (-0.4 in decimal form)
Now, your equation is y=-0.4x+b
Next you must solve for b to find the y-intercept. You can do this by subbing one of the given points in for x and y.
Using the point (3,6):
y=-0.4x+b
6=-0.4(3)+b
6=-1.2+b
Isolate b:
6+1.2=b
b=7.2
And now you have the equation of the line!
y=-0.4x+7.2 (IN FRACTION FORM: y=-2/5x+36/5)
Step-by-step explanation:
Answer: Congruent
How;
Congruent angles are angles that have equal degree measure! Hope this helps!
