The given quadratic expression; 5b² -6b -2 is prime because the discriminant is not a perfect square.
<h3>
What is the discriminant of the expression?</h3>
According to the task content; it is required to identify if the expression is prime.
On this note, it follows that the discriminant of the expression can be evaluated as follows;
= 36 -(4× 5 × -2)
= 76.
Hence, the expression is prime since 76 is not a perfect square.
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Answer:
day also you have the same knowledg
9514 1404 393
Answer:
21
Step-by-step explanation:
When secants meet, the product of the length of the pieces from the meeting point to the two circle intersection points is the same for all.
KL·KM = KJ·KC
Assuming the marks inside the circle apply only to the lengths inside the circle:
8(8+x+5) = 7(7+2x+1)
104 +8x = 56 +14x
48 = 6x
8 = x
Then the measure of MK is ...
MK = x+13 = 8+13
MK = 21
To find the probability of selecting a horse in the barn, we need to know the total number of horses and the number in the barn.
To find the total, add the values in the "Total" row:
16 + 11 + 12 + 39 = 78
To find the number of horses in the barn, add the values in the "In the barn" row:
4 + 2 + 7 + 13 = 26
Now divide 26 by 78 to find the probability:
26/78 = 1/3 or about 33%
The answer is 33%
Answer:
Step-by-step explanation:
Given
Represent the volume of the cylinder with V1 and the cone with V2.
So:
Required
Find V2
The volume of a cylinder is:
Because the cone and the cylinder have the same base area and height, the volume of the cone is:
Substitute 
for 
.
Substitute 1751 for V1
<em>The volume of the cone is 583.67 cubic units</em>
